{"text":"Question: Calculate the remainder when 592292 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -0.009103.\nAnswer: -12.009103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29.1 + -34. Let x = h - -4.9. Let l be (4 - 1)\/(9\/15). Which is the nearest to -0.1?  (a) x  (b) l  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 9141*d**3 - 4 - 9121*d**3 to the form k*d + q*d**2 + n + t*d**3 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 + 2*j**3 + 4*j**2.\nAnswer: -2*j**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**5\/10 - 6*m**4\/5 + 22*m**3\/5 - 9*m**2\/5 - 43*m\/10 + 3 = 0.\nAnswer: -15, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2110 + 2114. Sort l, -4, 2, -1 in ascending order.\nAnswer: -4, -1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 10 + 25. Does 7 divide (j\/(-14))\/(1\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, i: 11, z: 4, s: 1}. Give prob of picking 1 i and 1 d.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 8*z - 777. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i*i**(-2\/13))\/i)\/i)\/i*i\/i**5*i)\/(i\/(i\/(i\/i**(-1\/3))))**11 assuming i is positive.\nAnswer: i**(-773\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and -0.306.\nAnswer: 4.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*n = 40*n - 44928. Does 72 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/24*(-183744)\/20880\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a + 3. Let i(v) = 15. Let l(n) = -4. Let x(q) = -i(q) - 4*l(q). Calculate h(w) + 2*x(w).\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -5*k + 8, 4 = -k - 1. Put 3, g, 2, 0.1 in decreasing order.\nAnswer: g, 3, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o + o - 2*o)*(0 - 1 + 0) + 33 - 2*o - 25 + 0*o.\nAnswer: -5*o + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 180 = -36. Suppose k + 4*k - 5*j - 50 = 0, -34 = -3*k + 4*j. Suppose 4*b = 4*m - 96, k*m - m = -b + r. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 9. Suppose 20 = 5*q, -28 = -h*z - 2*z - q. Let u be (5\/10)\/(z\/4). Is -7 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6*(-1172)\/(-24)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.31 + -0.09. Suppose 5*b - b - 4 = 0. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 1. Suppose i = 222*d - 226*d + 16, -5*i + 3*d - 12 = 0. What is the closest to i in 0.6, 2, q?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/2640 and 77\/1452072?\nAnswer: 159727920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 7. Let x = -62 - f. Let p = 116 + x. What is the remainder when p is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 132 = -4*w + 164, k + 10 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - m + 1. Let f = -61797 + 61796. Sort f, -9, m, 0 in decreasing order.\nAnswer: m, 0, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.76 + -0.36. What is the third biggest value in -1.1, -1, o?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -45057 at most -45370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -5*t - 562 + 3, 0 = -n - 5*t + 171. Suppose -j + 83 = q, 3*q - n = 3*j + 103. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u - 5*u + 3*u. Let t(o) = -23*o. What is t(p(c))?\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8.3 + 8. Let h be (-1968)\/(-36) - 0 - 54. Put 3\/2, h, -4, x in descending order.\nAnswer: 3\/2, h, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 96 and 222?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 41569244 a multiple of 1109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (278 - 256) + (8 - (-1 + (-7 - -3)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1723464 and 678720.\nAnswer: 482569920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.88 to 1 dp.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 46342 and 12.\nAnswer: 278052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3835 a factor of 592074145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/2*(-15)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-117)\/520)\/(6\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5229 = -316*p - 2039 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 6834.194484+-0.2\nAnswer: 6833.994484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 10. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 - -33. Let v = -52\/21 + 15\/7. Which is the closest to v?  (a) t  (b) -3\/8  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -471385827 divided by 1011.\nAnswer: -466257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2 + 9048*c - 179360.\nAnswer: -4*(c - 2242)*(c - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 434*t + 19152 = -644*t + 1582*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 3:50 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 156812 < 156811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2*v - 25 = -5*m, 4*v - 7 = -5*m. Suppose 2*q = -3*f + 22, 2*f + m*q + 7 - 25 = 0. Suppose r = f*r - 25. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 3*d + 17 - 70, 2*r - 30 = d. Let t = 228 + -94. Let u = t - 96. What is the remainder when u is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3835 divided by 2630.\nAnswer: -767\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of 15*o**3 - 43*o - 30. What is the derivative of i(q) wrt q?\nAnswer: 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -301121 + 1123?\nAnswer: -233332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-1170)\/756)\/(1 + (-10)\/(-14)) and -36\/11.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12558?\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16702 - 0?\nAnswer: 16702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3647\/18 + 206. What is the common denominator of x and 4\/14 + 1094\/140?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.62 + -0.6. Sort 0.1, 2, i.\nAnswer: i, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 2. Let c = 13 + -10. Suppose 5*z = 2*y + f, -2*y + 4*z + 1 = c. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = a - 2*a - 4105, 0 = -5*c - 2*a - 4110. Let t = -342 - c. What are the prime factors of t?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -420\/17  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12010 (base 3) to base 15.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 12. What is the units digit of (11 - -8)\/(-2 + c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26666486 divided by -2842\nAnswer: -9383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -8*b**3 - b**2 - 19 + 11 + 2*b**3 + 9 + 4*b. Let i be a(3). Let g = 148 + i. Let v(x) = -x**3 - 9*x**2 + 9*x - 9. Determine v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1826*a**6 - 4120*a**2.\nAnswer: -219120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**2 - 84*p + 80*p - 8*p**2 in the form s*p + v*p**2 + z and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 124*j - 114*j + 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101100111 + -10110?\nAnswer: 101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14284, -14098, -13912?\nAnswer: -13726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2 = 2*n + 8, 0 = -3*n - p - 3. Is n greater than or equal to 2\/3211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-178616)\/56490 + (-4)\/(-42) + (-14)\/6.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51 + 40. Let n(g) = g**3 + 9*g**2 - 15*g - 13. Let x be n(i). What is x rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 3*u + 3*u)*((-2*u - 1 + 1)*(2 - 1 + 1)*(51*u**3 - 449 + 449) - 2*u**2 + 2*u**2 - 2*u**4).\nAnswer: -206*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -69680 divided by -13936\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/18)\/((-9)\/81).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3025 + -33245\/11. Suppose 0 = -0*z + 2*z. Calculate the common denominator of u and 102\/54 + -1 + z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65556, -65473, -65222, -64719, -63880, -62621, -60858?\nAnswer: -58507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 10:42 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**18\/(w\/(w*w*w**(3\/5))))**(-4\/9) assuming w is positive.\nAnswer: w**(-392\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + (1 - 2))\/((-13)\/13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2704 = 2*z - 2618. Let t be -1*(-98)\/2 - 1. Let m = t + z. Which is the second smallest value?  (a) -1\/5  (b) -1\/4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**4 + 0*a**4 - a**4)*(16*a - 3 + 19*a - 22*a).\nAnswer: -26*a**5 + 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -6*d - 54. Let w be d - -15 - (-13)\/1. What is the highest common divisor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-9)*-12 + 4. Let y be x\/3*(-57)\/19. Let j(h) = 4*h**2 + 0*h + 0 + 2*h - y + 3. Give j(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 46*r**2 - 242*r - 335*r - 12*r**2 - 589*r wrt r?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = -7*i + 28*i. Which is the nearest to 0?  (a) -5\/2  (b) i  (c) -24  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n**3 - 20*n**2 - 34*n + 58. Let s be q(8). Calculate the highest common factor of 246 and s.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j**5 - 2395*j**4 + 384825*j**3 + 7175*j**2 - 1159220*j + 769620 = 0. What is j?\nAnswer: -606, -2, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7\/((-35)\/(-598)) - (-4)\/10. Suppose 5*o - 25 = 0, -4*s + 4*o + 15 = -13. Suppose 8*g + u = s*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -2212220515?\nAnswer: 2212220522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -10050*q**3 + 195*q**2 - 59345. Let s(t) = 628*t**3 - 12*t**2 + 3709. Let w(l) = -4*g(l) - 65*s(l). Find the first derivative of w(a) wrt a.\nAnswer: -1860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 229, 22, -2 in decreasing order.\nAnswer: 229, 22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 + 26 + 51 + -15?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25523?\nAnswer: 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -200*y. Let a(g) = -6*g**2 + 224*g. Give a(p(n)).\nAnswer: -240000*n**2 - 44800*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/7)\/z*z*z**(4\/13)\/z*(z**(3\/13)\/z)\/((z**(-4\/21)*z*z)\/z))**50 assuming z is positive.\nAnswer: z**(-23200\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -65*k**3 + 256*k**2 - 167*k - 128.\nAnswer: -390*k + 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*d + 2*l, 0 = -5*d - l - 5 + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -16. Solve f = 3*z + 1 + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13970593 times -0.8\nAnswer: 11176474.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/((-9)\/(-75)*-5))\/(95\/(-6))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 362380406 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -a - 4*x - 14, -4*a + 3*x = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 774 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**4 + 0*q**4 + 5*q**4 + (-5*q + 4*q - q)*(220*q - 220*q - 9*q**3))*(3*q + 4*q - 6*q).\nAnswer: 20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -3. Suppose 4*g = -m*f + 172, -3*g + g + 45 = f. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 190857 (base 10) to base 16\nAnswer: 2e989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 52*z - 62. Determine o(-2).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 125863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7911589*j**3 - 26387880 with respect to j.\nAnswer: 23734767*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rwrw when four letters picked without replacement from {f: 6, r: 4, w: 4}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*i = 5*i - 891 - 405 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 5*x - 5*z - 170, 2*x + 4*z = 94. Suppose -x*j - 78 = -43*j. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -12 - (2 - (6 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -23*n**2 + 5*n + 10. Let w be y(-7). What is the common denominator of -38 - -34 - 334\/(-40) and (-1130)\/w - 14\/(-63)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36479 at most as big as 109436\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 129.07 - -510.29. What is a rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -248368?\nAnswer: 11\/248368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6\/11, -2, -56496\/35?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (0 + 15) - 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87936637 - 66863375 = -4*j + 3*m, -154800004 = -4*j + m. Round j to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4310 by -1.\nAnswer: -4310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11\/6 - -3\/2. Suppose 4*z + 5*j = -1 - 18, 2*z - 2*j - 4 = 0. Put d, z, 4 in descending order.\nAnswer: 4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*v + 22*v + 23 = -75 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29578*x**3 - 28522*x**3 - 11*x + 11*x.\nAnswer: 1056*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23845 and 48184?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -5  (b) -3\/7  (c) 7  (d) -0.2  (e) -2\/9  (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 526226.\nAnswer: 2, 107, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/118928 or 1?\nAnswer: 1\/118928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -50*u**2 - 137*u**2 + 2*u**2 + 41*u**2 - 4*u**4 + 20*u**3 + 28*u**3 + 128*u = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 - 51. Let a be -4*3\/42 + (-993)\/g. Suppose a = 4*u + 3. Calculate the greatest common divisor of 77 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 522820098 to the nearest integer?\nAnswer: 22865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a - 3*l + 5, 2*a - 3*l - 2 = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l - 93. What is the units digit of s(33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8841381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**7\/5040 - a**6\/720 + a**5\/15 + a**2. Let t(h) be the third derivative of b(h). Let r = -10 - -10. What is t(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/33, -0.5, 0.4 in increasing order.\nAnswer: -0.5, -1\/33, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 377241379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2776023 divided by -105?\nAnswer: -925341\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {r: 3, n: 1, k: 1, d: 8, a: 1, g: 2}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 20 = -0*t. Let g = 8 + -8.3. Which is the nearest to -0.2?  (a) g  (b) t  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 184 divide 63664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 8 + 3)*(4*o**3 - 2*o**4 + 3*o**4 + 2*o**3) as m*o**3 + h*o + k*o**4 + g*o**2 + s and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -378335, -756659, -1134983?\nAnswer: -1513307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*t, 2*t = -3*z + 5*t - 6. Let y = 7.3 - 7. Which is the closest to z?  (a) y  (b) 0.4  (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of 2\/175*n**7 + 0*n**4 + 1\/200*n**6 + 74*n**2 + 0*n**3 + 0*n - 1\/25*n**5 + 0 - 1\/560*n**8. Suppose p(f) = 0. What is f?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 168 - 515 + 5069*x + 168 + 179 - 5070*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-3333)\/1515*6\/858\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 6*u + 118 = 4*u, 4*u + 33 = m. Let x be (-18)\/5 - (-8)\/(-20). Calculate the remainder when m is divided by (x - -1)*10\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - -1.6476241?\nAnswer: 1.3476241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1438147 is divided by 6850?\nAnswer: 6497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 take away -160930222751?\nAnswer: 160930222750.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -14439.127 to zero dps.\nAnswer: -14439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -602*p + 147*p + 36 - 35.\nAnswer: -455*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from mmrmrmrrrmmr.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -25444 (base 6) to base 4\nAnswer: -330010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 2:01 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/12)\/((-3)\/(-54)). Let s = a + -12. Solve -m = -s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3140.968 to the nearest ten.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k - 6. Suppose c = -19 + 6. Let a be s(c). Suppose -a*p + 11*p + 3*r = 686, r = 2*p - 338. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1221313335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, -12, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1467509 (base 10) to base 5\nAnswer: 333430014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 196\/442909 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 855034806 - -0.3\nAnswer: 855034806.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1416.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/321112 and -113\/132?\nAnswer: 963336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -281 and 7.\nAnswer: -1967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -1568*d. Let s(f) = 2960*f**2. Calculate s(x(o)).\nAnswer: 7277527040*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 0*t**2 - 4 + t**2 + (14*t - 22 + 22)*(t + 2*t - t).\nAnswer: 29*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-635024)\/(-258))\/(-52)*(-6)\/4\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 6*i + 6 = 0. Suppose -i = -3*n, -2 = 2*c - 2*n - 0*n. Suppose -5*y = 2*y. Solve c = 5*z - y*z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j**2 - 2*j + 4. Let g = 22 - 8. Let h(s) = 9*s**2 - 4*s + 9. Let q(z) = g*p(z) - 6*h(z). Find l such that q(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2101001021212 (base 3) to base 6\nAnswer: 43004205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 52.99 - -3.4\nAnswer: 56.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m - 15. Let t = -46 + 40. Let j(s) = s - 8. Give t*o(u) + 11*j(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 6) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 100 and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 divided by 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -26938*m + 538740. Calculate p(20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 5:44 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -a + 10. Suppose a*s - 165 = -3*s. Let u = 47 - s. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**2 + 4*x + 3. Let p(h) = h**2 + h + 1. Suppose -5*n + 2 - 47 = 0. Let k = -800 + 806. Let o = k + n. What is o*p(q) + c(q)?\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/13, -121909, -1, 3\/5, 1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-26)\/3 - (-2)\/(-6). Let v = -21 + 3. Let y = h - v. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/12*90\/12. Solve 2*w = 2*z - 12, -j*z + 16 = -4*w - 3*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (58*a + 14 - 14)*(1 + a - 1)*(2 + 5 + 1) - 3*a**2 - 6 + 6.\nAnswer: 461*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of 6*n**2 - 7. Let s(u) = -u. Give p(z) + 10*s(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 AM and 6:38 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 1962, -5, -11 in descending order.\nAnswer: 1962, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 57703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 7718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/6 - -1)*(-10)\/60.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*j - j - 37*j)*(1 - 2 - 1)*(13 + j - 13).\nAnswer: 130*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 11*z**2 + 450*z + 1939. Give c(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 158010 = -5*r, 6*p - 193129 = 2*r + 122843. What are the prime factors of p?\nAnswer: 2, 5, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 - (8 + -27 + 11 + 21) - -11\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 1532 = -4*i - 48, -1191 = 3*i + 5*q. Let b = -550 - i. Let d = b + -92. What is d rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 36 = 2*k, -k - u - 4 - 5 = 0. Does 11 divide 2\/k - (13832\/48)\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 649818121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2401 (base 5) to base 4.\nAnswer: 11133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*b - 72 - 903 = 0. Calculate the highest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -325\/1441 greater than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6472*b**3 + 6405*b**3 - 12863*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/7 in 0.09, 174, 1\/9, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 51  (b) 3  (c) -12\/5  (d) 93  (e) -1\/7  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2e1 (base 16) in base 7?\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*u**2 - 3*u**2 + u**2)*(-254 + 192 - 272)*(-155 + 20*u + 155) as z*u + t*u**2 + p + y*u**3 and give y.\nAnswer: -13360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-224)\/(-12) + (-34)\/(-85)*5\/6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 120*n**2 - n - 13. What is the thousands digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**2 + 37*j + 58. Let w be q(18). Suppose 1978 = 2*z - v, v - 5188 + 250 = -5*z. What is the greatest common factor of w and z?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.063 + -62.937. Let x = s + 63.000077. Round x to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 380957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 24590171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -224.9 + 250. Let g = v - 28. Let l = -1.9 - g. What is the second smallest value in -2\/15, -0.5, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 30440, 30462, 30510, 30596, 30732?\n\"Answer: 2*t**3 + t**2 + 5*t + 30432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 23 = -21. Solve 5*d - h - k = h, 0 = 4*d - 3*h - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and (-8)\/(-8)*(979 + -20)?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 1 - 5\/(-1). Suppose -i = -u - 2. Let s = -9 + 18. Calculate the least common multiple of u and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 428\/9  (b) -1  (c) -37  (d) 0  (e) 1  (f) -65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -14 - 1. Let y = -29 + 27. Let i be 3 + 36\/(-4) - y. Which is the second smallest value?  (a) h  (b) 1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a millennium in decades?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -205\/24 - -63\/8. Which is the biggest value?  (a) 0  (b) v  (c) 0.1  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of -3*o**4\/8 - o**3 + 10. Factor j(n).\nAnswer: -3*n**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**3\/7 - 207*d**2\/7 + 1464*d\/7.\nAnswer: 3*d*(d - 61)*(d - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 76*j + 415. Let q be y(-5). Solve -6*m + q = 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*1*sqrt(65))\/(sqrt(80)*6) + (sqrt(13) - (sqrt(208)*-3)**2 - (sqrt(13) - sqrt(104)\/(-1*sqrt(8)) - sqrt(13)))*-4.\nAnswer: sqrt(13)\/6 + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6476 is divided by 194?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1018889 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2348?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 37073987003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 0.3  (b) -0.2  (c) 4  (d) -5  (e) 54  (f) 21.5  (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 0) + (-12 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -7. Suppose -5*l = n + 10, l + 2*l + 34 = i*n. What is the closest to -2\/7 in l, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t**2 + 6*t + 2. Let s be c(3). Let p(o) = 2*o**s + 6*o - 25*o + 6*o - 16. Is p(10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -788 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 33869569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 38 = -2*s, -7*s = -2*s + 5. Calculate the remainder when 357 is divided by q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87625 is divided by 87616.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 6*r**2 - 2*r + 1. Let d be f(1). Let b = 13 + -9. Put -3, d, b in descending order.\nAnswer: d, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 16330153?\nAnswer: -16330160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 35821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -0.3, 2, -0.2704 in descending order.\nAnswer: 2, -0.2704, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9526 + 519775. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b706 (base 15) to base 6.\nAnswer: -455110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2*j + 11401406, -6397857 = -5*z + 3*j + 22105634. What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 50*g**4 + 28425*g**3 + 3*g**2 + 910*g + 301 wrt g?\nAnswer: 600*g**2 + 170550*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of t**7\/840 + t**5\/120 - t**4\/24 - 2*t**3\/3 + 2. Let q(z) be the third derivative of g(z). What is the units digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from plt. What is prob of picking 1 p and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -6. Let d(j) = -2*j - 11*j**3 + 5*j**2 + 3*j**2 + 8 - 2*j - 2*j. Let m(k) = 4*k**3 - 3*k**2 + 2*k - 3. Give w*d(q) + 8*m(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9719 - -9743. Let w(y) = 3*y**2 - 71*y - 34. Give w(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 651 - 650.7. Let u be (-3)\/(-2)*(-1)\/(-3). What is the third smallest value in b, 1\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from {v: 5, h: 4, g: 2, a: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -193, -138, -103, -88?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*z + z - 29 - 29 + 80 - 3*z.\nAnswer: 4*z + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - u = -5, -2*z - 1676080 = -3*u - 1676091 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2, 2\/3, -3, -64\/5, 10.\nAnswer: -64\/5, -3, -2, -0.1, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 5*o + 9. Let a = o - 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 25152, 25207, 25250, 25275, 25276, 25247?\n\"Answer: -a**3 + 62*a + 25091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 523 - 523. Put j, -1, 4, -11 in descending order.\nAnswer: 4, j, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1393 divide 1514191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.754211 milligrams in tonnes?\nAnswer: 0.000000008754211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139 - 49 = -5*g. Suppose -d + 8 = 3*f, 0 = d - 0*d + 5*f - 16. Calculate the common denominator of d\/g - 14\/18 and 32\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 - -43. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-60)\/(3 - -9) - -962. Calculate the highest common factor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 8:08 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3199, -4, 173, -2\/11.\nAnswer: -4, -2\/11, 4, 173, 3199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4519, -4055, -3591, -3127, -2663, -2199?\n\"Answer: 464*h - 4983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 617332 is divided by 4441.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44522?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 take away -62418?\nAnswer: 62424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.4  (b) -1  (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from nii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*v + 10*v - 26*v + 9*v in the form j*v + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1713?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {s: 2, e: 11, c: 1, o: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (126*(-23)\/(-644))\/((186\/(-4))\/(-1)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 + 27*x - 168. Let o be k(17). Solve -b + 3*b - 3*h + o = 0, 5*h - 4 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0011819776 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (6\/((-540)\/5))\/((-5)\/20)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*y**4 - y**4 + y**4)*(1 - 31 - 5) - y**4 + 2*y**4 + 0*y**4 in the form f*y**4 + m*y**2 + d*y**3 + h + x*y and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3023871325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 5*b + 119 = 0, 0 = 5*m - 53*b + 56*b - 225. Solve m = -23*a + 31*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4516907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(243)*4)\/sqrt(9)*3)\/(((3*sqrt(198))\/sqrt(11) - sqrt(18))\/sqrt(2)).\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s**2. Let f(k) = -4*k**2. Let g(r) = 5*a(r) - 3*f(r). Let t(c) = -c - 13 + c + 39 - 2*c**2 - 1. Give g(t(p)).\nAnswer: 8*p**4 - 200*p**2 + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -7*g - 5. Let p(t) = 6*t + 6. Let m(n) = 6*c(n) + 5*p(n). Let h(z) be the second derivative of z**4\/6 + 7*z. Determine m(h(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -0.08, -1\/4, 0.7, 239 in ascending order.\nAnswer: -1\/4, -0.08, 0.3, 0.7, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 1:59 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of x**5\/80 - 113*x**4\/4 + 25538*x**3 - 11543176*x**2 - x + 347. Determine w so that z(w) = 0.\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-6\/7)\/z)\/((z\/((z**14\/z*z)\/z))\/z))**(-7\/3))**32 assuming z is positive.\nAnswer: z**(-2720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + c - 16 = 0, 2*j + 2*c - 8 = -2*j. Let h(s) = -j - 4*s + 4 + 5*s + 2. Let i(n) = -n**2 - 26*n + 153. Let k be i(-31). Calculate h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5499 is divided by 2733.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12328.724 - 12268. Let b = -1.176 - z. Round b to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100267596 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 273, 254, 207, 120, -19, -222, -501?\n\"Answer: -2*j**3 - 2*j**2 + j + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 9:06 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + 5*w**2 + 3*w - 1. Let k be u(-4). Let l = k + 12. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/((q\/q**(3\/4))\/q*q)))\/q**(6\/11)*((q*(((q\/q**3)\/q)\/q*q)\/q*q*q)\/q)**(-17))**(5\/18) assuming q is positive.\nAnswer: q**(7415\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from dmmn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 2*o. Let k be -3*14\/189 - (-6)\/27. Solve 2*b - 11 = 5*m, k = b - o*m - 2*m - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000108259153 to 6 decimal places.\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -20*l**3 - l**2 + l - 1. Let h be o(1). Let c = h - -32. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 484 divide 4086412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -340 + 358. What is the remainder when 249 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/8*3136\/294. Solve 22*c + 26 - i = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -951781*k**2 - 27749489*k - 2?\nAnswer: -1903562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 141949 (base 15) in base 5?\nAnswer: 221423334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n**4 - 4*n**5 - 4*n**4 + (0*n + 0*n - n**3)*(-n**2 - 2*n**2 + 5*n**2) + (4*n**2 - 2*n**2 - 4*n**2)*(27*n + 2*n**3 + 13241 - 26607 + 13309).\nAnswer: -10*n**5 - 54*n**3 + 114*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -5 - 7) + (11 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 19. Let z(b) be the second derivative of 17*b**3\/6 + 13*b**2\/2 + 20*b - 2. Let w(x) = -4*x - 3. Let a(o) = i*w(o) + 2*z(o). What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2413 - 4012234?\nAnswer: -4015051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + b + 20, -4*b + 3*b = -r + 10. Let i(m) = m + 32. What is the remainder when i(-23) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of -z**5\/20 + 3*z**4\/2 - 8*z**3\/3 - 9*z**2 - 3557*z. Determine n(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n - 9*n - 1385 = 0. What are the prime factors of n?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13077 (base 9) to base 14.\nAnswer: -32dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 6:03 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1137 is divided by 141.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 34*h + 42 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 0.03. Let j = 6.47 - b. Round j to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*o**3 - 287*o**3 + 34*o**3.\nAnswer: -357*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 4:19 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of k**8\/53760 - k**7\/10080 - k**4 + 6*k**2 - 2*k. Let u(i) be the second derivative of r(i). Factor u(l).\nAnswer: l**2*(l - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000005948216 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 782 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.04 - -7. Let o = -3.04 - k. Let q = o + 2.9984. Round q to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 3*o**2 + 3*o. Let m be h(2). Suppose -v + 4*v + 2 = m*l, -20 = 5*v. Which is the third smallest value?  (a) -1  (b) -0.1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 divided by -33135\nAnswer: -7\/11045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 18928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32332 = -78*r - 40*r. What is the remainder when r is divided by 96?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from ycpyhfpycyjh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 21. Let m = -20 + i. Let z = -7.0004 - m. What is z rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -95*c + 261*c - 17 - 103*c - 98*c as x*c + n and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*l = 20*b - 23*b + 50, -4*l - 24 = -2*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 369*m. Let r(y) be the first derivative of 3*y**2\/2 - 64. Give p(r(b)).\nAnswer: 1107*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 - 19. Let x = 17 - 20. Which is the closest to x?  (a) l  (b) -5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + t + 4. Let i be o(-7). Let m = -21 + i. Solve 0 = -5*s + 5*p + m, 5*s - p = -2*p - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -360684.6 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 83*p - 78*p - 20. Suppose -22*k - 18 = -p*k. Which is the nearest to k?  (a) -2  (b) 0.4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8979.261um in centimeters?\nAnswer: 0.8979261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*a**2 - 10*a**2 - 817575*a**3.\nAnswer: -817575*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (77\/(-15) - -5)*(0 - 3). Find x, given that j + 3\/5*x + 1\/5*x**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 769104 is divided by 2073.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/1006020 and -79\/1296.\nAnswer: 4024080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - g + 25. Suppose 16 = v - 25. Suppose -6 = g*o - v. Solve -2*x + 1 = -o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -558 divided by -6?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -6*b + 5. Determine o(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**2 + 6*y - 9. Let d be r(-4). Let i(c) = -2*c. Let n(k) = k + 8. Let v be n(-6). Suppose v - 6 = b. Let f(m) = m. Calculate b*f(h) + d*i(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4*l = 20. Let y(b) = -b**3 + 3*b**2 + 5*b + 1. Let s be y(l). What is c in -c + 6*c**4 - 4*c**s - 4*c**4 - 2*c**2 + 5*c**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 2. Let p(i) be the second derivative of i**4\/4 + i**3\/3 + i**2\/2 - 13*i. What is the remainder when 33 is divided by p(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23208 (base 16) in base 12?\nAnswer: 6b320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 - 69)\/(2\/(-3)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.83 and -6025182?\nAnswer: 6025181.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.3 + -186456.\nAnswer: -186452.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5450042.\nAnswer: 2, 13, 97, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is s in s**3\/2 - 69*s**2\/2 + 360*s - 1026 = 0?\nAnswer: 6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b**3 + 304755*b**2 + 77720*b?\nAnswer: -12*b + 609510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 12767*c - 63831. Give s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 PM and 1:00 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y + 1. Let d(s) be the second derivative of s**4\/6 + s**3 + 3*s**2 - 2*s + 3. Determine d(h) - 8*k(h).\nAnswer: 2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19 in 175, 0.2, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2344, 4757, 7246, 9805, 12428, 15109?\n\"Answer: -p**3 + 44*p**2 + 2288*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*d**2 + 2*d - 14*d**2 - 5*d**2 - d**3 - 20*d**4 + d**4 - 2 as y*d**2 + m*d**3 + h*d + o*d**4 + s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times 175\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-536)\/(-67) - (8 + -3)*12\/(-10). What is the biggest value in 4, 1, -1\/3, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (273\/12 - -1)\/(3\/12). Solve 0 = l*s - 101*s - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2432470*u**2 - 1965076.\nAnswer: -4864940*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/42 and 10\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1715710140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(5\/2 + -4)*20\/945.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 23*w - 162. Let u(i) = 16*i - 116. Let t(q) = 5*g(q) - 7*u(q). Let r(b) = 3 + 6*b - 4*b + 4*b. Calculate 3*r(l) - 5*t(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of -4*p**3\/3 - 12*p**2 - 150*p. Let l be u(-3). Solve 3*a + 5*g - 4*g - 2 = l, 1 = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33 and 17886?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of -17*s**3\/6 + 46*s - 23. Let r(k) be the first derivative of m(k). Let q(x) = -2*x**2. Determine r(q(b)).\nAnswer: 34*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.302 + -3.698. Which is the closest to 79?  (a) -2\/5  (b) 2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2192*r + 9. Let z(n) = 2191*n + 12. Determine -4*k(g) + 3*z(g).\nAnswer: -2195*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -4*r - 42. Solve m = r*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in -1, -2\/3, -7\/4, 8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2614.000002744 + -2614. Round w to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 80 and 30980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114095 and 17204325?\nAnswer: 6005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -622aa (base 12) to base 2.\nAnswer: -11111010100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 6*n - 82, 2*x = -93*n + 98*n - 47. Let y(m) be the second derivative of -2*m**3\/3 + 2*m**2 - m. Let a(v) = -3*v + 4. What is n*a(d) - 2*y(d)?\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1002113 - 131231201?\nAnswer: -132233320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z - 11. What is p(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -85 and 8.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddssdhknsnnhvkn. What is prob of picking 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120 + 21*h**3 - 154 + 34 - 30*h**2 - 15*h**2.\nAnswer: 21*h**3 - 45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**3 - 7*o**2 + 7*o + 2. Let b(a) = 3*a**3 - 6*a**2 + 7*a + 2. Let k(g) = -3*b(g) + 4*i(g). Does 18 divide k(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a. Suppose 0 = 2*h - 8 + 2. Let i(q) = -q - h*q - q + 4*q. Give f(i(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -0.1  (c) 3  (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.13  (b) 2\/5  (c) 0.1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -10. Suppose -6*o = -4*o, -c*o = b + 84. Let k = 167 + b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4363 - -4363. Let x(l) be the second derivative of 0*l**2 + 3*l + 19\/6*l**3 + s + 13\/10*l**5 + 0*l**4. Find the second derivative of x(y) wrt y.\nAnswer: 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 321*t - 8 = 325*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 0 - 1\/3*r**3 + 0*r**2 + r. Suppose 0 = 282*g - 285*g - 3. Calculate a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -636*n**3 + 1893*n**3 - 5 - 637*n**3 + 5 - 628*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 111161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -2680 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05 and 206.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 0*n = 30. Let h be 2\/10 + 57\/n. Solve -3*f - 2*m = 19, -h*m = -5*f - 2*m - 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22 + (0 - 572\/26). Let r(s) be the third derivative of -1\/3*s**5 + 4\/3*s**3 + 0 + u*s + 1\/2*s**4 - 2*s**2. Factor r(a).\nAnswer: -4*(a - 1)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/6336 and 31\/395895808?\nAnswer: 3563062272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vvvvsvsv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 181218129 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1528 is divided by 128?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -87 + 11?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 16. Let n be -2 - 1\/(2\/(-10)). Suppose 4*r = 4*w - 12, -n*w - 9 = 5*r - 2*r. Solve w*p = -3*p - l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3  (b) -141\/23  (c) -0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/27  (b) -2\/29  (c) 50  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13226426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 1751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 453.207 millilitres?\nAnswer: 0.453207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 20 + -2a6?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 1459 divide 8698558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 55584701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5 + -6 + 127*(3 + -2). Let m = z - 61. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of h**4\/12 - 2*h. Let f(n) be the third derivative of 25*n**4\/24 - n**2 + 12*n. Determine f(i(j)).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2\/5 - 54*d - 1743\/5.\nAnswer: -3*(d + 7)*(d + 83)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3602 times -0.4?\nAnswer: 1440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19850378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*b**3 + 40*b + 43*b - 79*b - 43*b**3 + 9*b**2 in the form y*b**3 + n*b**2 + f + z*b and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 3 p when four letters picked without replacement from {p: 5, d: 1, i: 2, k: 1, u: 4, b: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 7*z**2 - 3*z - 2. Let p(r) = -r + 20. Let y be p(16). Let s(j) = 13*j**2 - 6*j - 4. Let m(f) = y*s(f) - 7*u(f). Determine m(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1773529, 3547064, 5320601, 7094140, 8867681, 10641224?\n\"Answer: f**2 + 1773532*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y + 1. Let u be p(-1). What is the third derivative of 10*d + 2*d**5 - 10*d + u*d**2 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -6 and -29\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*1859\/(-6760))\/((-1)\/6).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 66 and 14564.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11565709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*c**2 + c**3 - 2*c**2 - 26*c**4 + 2*c + 18*c**2 - 56*c**2 as q*c**2 + b*c**4 + o*c**3 + y + x*c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 - 5*l**2 - 15*l + 5. Let i be a(7). What is the least common multiple of 35 and (-741)\/(-143) + i\/11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003307049 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (160\/(-192))\/(10\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 11*z - 1. Let x be w(-10). Let j(n) = -n + 11. Let d be j(x). What is the second derivative of -i**3 - 7*i - d*i**3 - 5*i**3 wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 - 1822063341.\nAnswer: -1822063353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 316*i**2 - 39*i - 10. Let y(s) = -473*s**2 + 55*s + 15. Determine -7*r(f) - 5*y(f).\nAnswer: 153*f**2 - 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 6*m**2 - 192*m + 5. Let d(a) = 2*a**2 + a. Determine 2*d(l) - s(l).\nAnswer: -2*l**2 + 194*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 1)*(2 + ((-92)\/4 - 18))\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10\/9 + 29\/18. Put -3, g, 0.04 in descending order.\nAnswer: g, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5\/2*b**2 - 35\/2*b + 0 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*a + 5268387 + 301613. What is a rounded to the nearest 10000?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3315317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 929, -3, 1, 10, -2, 2 in decreasing order.\nAnswer: 929, 10, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 7*b**2 + 9*b - 8. Let s be 62\/(-6) + (-10)\/15. Let u = s + 14. Suppose -4*j = 5*w - 9, 4*j - u*w - 39 = -j. Give k(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/(-1)*(-2*5 - ((-43428)\/(-235))\/(-22))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 912858 and 912603 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + 18*z + 46. Let r be o(20). Suppose 0 = -2*f + r + 78. Calculate the smallest common multiple of f and ((-15)\/(-6))\/((-2)\/(-4)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -269 + 64 = -5*i. Let r(d) = i*d - 18*d - 17*d. Let f(z) = -z**2. Give f(r(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 272170000 to the nearest one million.\nAnswer: 272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 11*p**2 - p - 10. Determine t(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1 + -3*(sqrt(637) + -4 + sqrt(637)*-3 + sqrt(637) + 5))**2.\nAnswer: -252*sqrt(13) + 5769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 105*c**2 - 52*c + 345. List the prime factors of y(9).\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + 7. Let m = 16 - n. Let l(z) = z + 5. List the prime factors of l(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 7. Let o be (f\/4)\/((-3)\/(-12)). Let w be (-3)\/((-27)\/6)*6. Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 56631?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a - 3 - 11*a - 6*a + 22*a to the form g + j*a and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (-3)\/(-3 - -4). Let d be 1\/(1\/(-10)*2). Sort d, 4, w in ascending order.\nAnswer: d, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/6)\/((-2)\/(-144)*6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 123 = 123. Let h(y) be the first derivative of 2*y + s*y**2 + 1\/2*y**4 + 0*y**3 + 9. What is the derivative of h(n) wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/14 and 115\/17574.\nAnswer: 123018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23538 or 23536?\nAnswer: 23536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 6*o - o - 16 = 0, -2*o = 4*k - 10. Suppose k = -0*v - v. Let f = v + 8. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and 34102.8223.\nAnswer: 34099.8223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + (-2)\/6*3. Let r be ((-13)\/(-26))\/((-1)\/i). Let f = -2 - -2.3. Put 2, f, r in ascending order.\nAnswer: r, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 8 - 2 = 0. Suppose -3*a + 5*t + 55 = 0, -3*a - a - l*t + 25 = 0. Suppose -k + a = -0*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 5*s**2 + 219*s + 381. Let f be x(-42). Let g(t) be the first derivative of 0*t + 5\/3*t**f - 44 - t**2 - 1\/4*t**4. Give g(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*b + 119 + 249. Let g(d) be the second derivative of -b*d - 11\/3*d**3 + 0 + 13*d**2. Differentiate g(o) with respect to o.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -1169 - 235. Suppose 5*j + 2317 + 2622 = -3*g, -3935 = 4*j - 3*g. Let s = z - j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 5 = -2*o, -5*m + 13*o + 20 = 14*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -1857*j + 2 - 5 + 12 - 3 - 7. Let t(k) = 2*k. Give i(t(d)).\nAnswer: -3714*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3349  (b) -8\/139  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/6)\/((-3)\/63). Let k = -17 + z. Suppose -2*m + 14 = 5*o, -17 = -4*m + o + k. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -240788*c - 2. Let a(z) = -9*z**2. What is d(a(t))?\nAnswer: 2167092*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1667928 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 24\/(-40)*(-5)\/1. Suppose -y*f = 5*b - 76, 3*f - 4*f + 4*b = 3. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 497 = -g, 0*g + 621 = 5*s + g. Suppose -127*f + s*f + 45 = 0. Suppose 8*z + 252 = f*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -149, -276, -489, -788, -1173, -1644, -2201?\n\"Answer: -43*h**2 + 2*h - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1757191 - -16.\nAnswer: 1757207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -423 + 12?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 201302*n**4 - 20313*n**2 + n wrt n?\nAnswer: 4831248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5\/87 - 640\/203. What is the common denominator of -5\/12 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*t**2 - 1 + (-2*t + 5*t - 4*t)*(0 + 0 + t) + (-t + 2*t + 0*t)*(0*t + t + 0*t) + 5 - 5 + 2*t**2 + 4*t**2 - t**2 - t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19617309 to the nearest integer?\nAnswer: 4429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 11430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*(0 + sqrt(605) + -2 + -4*(sqrt(605) + 2)))**2 + 1 + 2.\nAnswer: 2640*sqrt(5) + 22183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 + 7 + 4 - 5777*c.\nAnswer: -5777*c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r = -n - 7*r + 85, -5*n + r + 497 = 0. What is the lowest common multiple of 30 and n?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -6*(sqrt(76) + (sqrt(76) - sqrt(76)*1) - sqrt(76))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 8) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k + 7. Let g(r) = -r + 15. Let m be g(9). Let a(p) = p + 4. What is m*s(o) - 11*a(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 844 + 213. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -210534 (base 6) to base 3.\nAnswer: -212101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 5. Suppose -9 = t*l - 154. Suppose -l - 171 = -4*n. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14410 times -606\nAnswer: 8732460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 + -2)\/1*1. Let a = y - -5. Suppose -q + 0*c = -a*c + 18, c = -5*q + 14. Is 0 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-88*1\/(-11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 65 - 2*(-7 - -1). What is the highest common factor of s and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8c2 - 2?\nAnswer: 8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 87696 and 4060?\nAnswer: 438480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.103?  (a) 0.04  (b) 0.5  (c) 6  (d) 43\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Convert -1122222 (base 3) to base 12.\nAnswer: -852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) -5  (c) 0  (d) 2\/17  (e) -1\/12199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 - 5*c**2 + 4*c + 2. Give h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/6 and -65\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 5. Solve -2 = 3*t + o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 69976 divided by 4\nAnswer: 17494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 90, 3, -8, 1, -99, -5 in decreasing order.\nAnswer: 90, 3, 1, -5, -8, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*d + 5*z = 95, 0 = 4*d - 2*z - 17 + 33. Let m be 2*1 - (-3)\/3. Let n = m - 2. Put d, n, 2 in decreasing order.\nAnswer: 2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n - 8. Suppose -2*m - 20 + 4 = 0. Determine l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 950 + -946. Suppose 22*z + v*h = 26*z - 20, 5*h - 11 = -z. Solve 0 - 12 = -z*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*w - 18 = -78*w. Is (-1084)\/(-12) - (-2)\/w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -6*i - 25. Let f(l) = -9*l + 11. Let x be f(2). Let m be c(x). Let z(q) = q**3 - m*q - 10*q + 23*q - 2 + 2*q**2. What is z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -409, -1 in descending order.\nAnswer: -1, -2, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57\/5707 + 173430479\/45656. Let r = -3807 + c. Let v = 293 + -3178\/11. Find the common denominator of v and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 100102212 + 11?\nAnswer: 100102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 354044 and 1220?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - (-6 + -156 + 5 + 5). Let y = 1\/35 + -81\/385. Which is the third smallest value?  (a) -0.2  (b) n  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3398.609011 minus -0.05?\nAnswer: -3398.559011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -11*x - 1. Let z be l(0). Does 6 divide ((-1296)\/(-378))\/((-117)\/119 - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*b + 4*w + 13 = 30*b, -33 = -b + 4*w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -21*(-16)\/224*272\/(-408)*1\/(-29)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(52\/(-8) + 5). Let v be 708\/51 - r\/17. Is 13 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -5*d**2 - 530*d + 1080 = 0.\nAnswer: -108, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 8*l**2 - l**2 - 2*l**2. Let g(v) = -5*v - 3*v + 4*v + 3*v. Let q(b) = -5*b. Let c(k) = -9*g(k) + 2*q(k). Determine c(p(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*l**3 + 6*l + 161.\nAnswer: 24*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 146368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 84 - 35. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + 9)\/((-15)\/(-13840)) - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 23538, 23394, 23250, 23106?\n\"Answer: -144*a + 23682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**5\/5 + 68*t**4 - 18461*t**3\/5 + 69610*t**2 - 417000*t = 0.\nAnswer: 0, 12, 25, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 - ((-16)\/10 - -4). Let d = 0.33 - -0.07. Which is the second smallest value?  (a) 4  (b) d  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and -419.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -5.4  (b) -35  (c) 0.1  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100200210 + 10?\nAnswer: 100200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2908, -5822, -8736, -11650?\n\"Answer: -2914*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101*l + 94*l + 17906 = 0. List the prime factors of l.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 173.152 - 174. Let l = -0.138 - a. Round l to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 11 - 75. Let v = -7 - o. Is 6 a factor of (-2)\/(-6) - (-87)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -2*j + 194, 0 = 3*w - 6. Suppose 3*y + 4*t = 42, 1008 = y + 4*t + 1002. Calculate the greatest common factor of j and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1301103102 (base 4) to base 8\nAnswer: 1612322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/9, 6\/19, -83, -3, -197, -0.5?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126993, 126988, 126979, 126966?\nAnswer: 126949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-18))\/((-4)\/20)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 133.9.\nAnswer: 133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 21427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -13927123*o. Let w(r) = 4*r**2. Give k(w(c)).\nAnswer: -55708492*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 91\/66 - -4\/33. Suppose 28 - 9 = -3*m - h, -2*h + 2 = m. Let v = 10 + m. What is the third smallest value in 0.01, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 8:21 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xqx when three letters picked without replacement from {q: 1, x: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12644817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) 0.03  (c) 0.2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from htntdn. What is prob of picking 1 d, 1 h, and 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -8*l**3 + 4*l**2 - 5*l - 16. What is the units digit of k(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 10110  (b) -5  (c) 2\/7  (d) -2\/21  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of 3*h**2 - 69. Let t(r) = 0*r + 2*r + 0*r. What is t(a(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22199, 177730, 599927, 1422134, 2777695, 4799954?\nAnswer: 7622255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = 2*z + 15. Let j = 5 - z. Let c = -42 + j. Calculate the remainder when 83 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.9?  (a) 0  (b) 5\/2  (c) 3  (d) -74.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 18*i + 57 = -150 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 c when three letters picked without replacement from {c: 1, g: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -165544.017 - -165468. Let l = -76 - j. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 0 - 1)*(-3*m + m + 6*m) + 3*m - 5*m + 3*m to the form c + h*m and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - 8*j - 11. What is the remainder when z(-5) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1993 - -1981. Let s(t) = t**2 + 6*t - 77. Calculate s(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - 22.50537.\nAnswer: -27.50537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(125) + 1) - sqrt(125) - (-1 + sqrt(5) + -2)*-4)**2.\nAnswer: 672*sqrt(5) + 2461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13983 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 245\/6*188\/987. Let s be (-18)\/24 + 118\/72. Solve -8\/9*n**5 - w*n**2 - s*n - 46\/9*n**4 - 92\/9*n**3 + 8\/9 = 0 for n.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2. Let s(k) be the first derivative of k**4\/8 + 3*k**2\/2 + 3. Let j(n) be the second derivative of s(n). What is l(j(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 881796, 881803, 881810, 881817, 881824, 881831?\nAnswer: 881838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 87*b**2 - 6*b - 23. Let h be v(-3). Suppose -h = -3*g + 4*r + 2619, -g + 1115 = 3*r. Round g to the nearest 10.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -2021*p**6\/10 - 22*p**4\/3 - 23*p**3\/6 + 8988*p. Find the third derivative of z(l) wrt l.\nAnswer: -145512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1951670 * 4.\nAnswer: 7806680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20.43 or 14823?\nAnswer: 14823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-37)\/(2*(3 - 7\/2)). Differentiate 4*m + 3*m + 2 + 13 - g*m with respect to m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2085 - 1042 - d**2 - 47*d + 46*d - 1043. Let l(v) = -11*v**2 - 4*v + 2. What is -l(r) + 6*t(r)?\nAnswer: 5*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -53 - -67. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 10144, 9825, 9496, 9151, 8784?\n\"Answer: -a**3 + a**2 - 315*a + 10459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.011 or -28760?\nAnswer: -28760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 54*k**2 + 49*k - 256. Calculate the lowest common multiple of f(6) and 18.\nAnswer: 17838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**2. Let r(v) = -2 + 6 - 2 - 3. Let q(k) = -k**2 + 2. Let t(j) = q(j) + 2*r(j). Give i(t(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 38*(-2)\/(-4) - 1. Let b = t - -1. Let n(p) = 3*p**2 - 60*p + 365. What is the remainder when n(7) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 971203.\nAnswer: 257, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.11 - -13.11. Let i = t + -60. Let z = -47.4 - i. Which is the biggest value?  (a) z  (b) -1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-4*sqrt(70) - sqrt(70)) - (sqrt(70)*1*-6 - sqrt(70)))\/((sqrt(10) + sqrt(160))*-5 - (sqrt(80) - (sqrt(80) - sqrt(80)*-2 - sqrt(80)))\/sqrt(8)).\nAnswer: -17*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9 + 4 + 133*z**4 + 3 - 4*z - 7 wrt z?\nAnswer: 1596*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -1. Suppose i*l = 3 + 18. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 6)*(0*l - 4*l + l**2 + 6*l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 8 = -2*f, 0 = -5*f - 19*c + 15*c - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g**2 - g**2 + 7965*g**3 + 7991*g**3 - 3*g**2 - 15967*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 453546292 rounded to the nearest 100000?\nAnswer: 453500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1222014637 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32 - -19 - (-4 + 0)) + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 118967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 28.3?\nAnswer: -5.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 1088 = -3*k, -k + 1134*d - 1139*d = -348. What is the remainder when k is divided by 247?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of -1006*g**6\/3 - 973*g**2 + 1929. What is the second derivative of r(p) wrt p?\nAnswer: -40240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 2 = -3*d, -3*t + 4*d - 526 = 0. Let n = 1290 - t. List the prime factors of (n\/(-24))\/5*-6.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -75 - (-8 - (7 + -28 + -9 + (3 - -11))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 5*l + 246 = 3*p, 0 = 2*p - l - 158. Suppose -5*r - p = -0*r. Let a = r + 19. What is the highest common factor of a and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 3. Let a(s) = s**2 + 10*s + 4. Let q be a(h). Suppose -q + 7 = y. Solve 0*u = u - 3*v - 9, y*v = 5*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -224, -444, -664, -884, -1104?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -3. Suppose -g*w = -w - 115. Suppose 0 = -7*t + 2*t + w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -o**5\/30 + 5*o**4\/24 - o**3\/2 - o**2 + 3*o + 5. Let x(i) be the second derivative of d(i). Calculate x(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 7ca32?\nAnswer: -7ca31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 w when three letters picked without replacement from {j: 1, n: 3, t: 2, w: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 2) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 3259092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1344 times -0.003?\nAnswer: -0.0004032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -35*g**3 - 65*g + 5*g**4 - 1076 + 2151 - 11*g**2 - 1055 + 86*g**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 74938224 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + 4. Suppose y*i = 10*i. Let w be i\/(3*4\/(-6)). Solve m = -f - 9 + 2, w = 5*f - 3*m - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 108\/(-10)*-1*5. Let o(v) = -2*v + 27. Let f be o(11). Suppose -3*d + f*d - j = 0. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -17*w**2 - 11*w + 1. Let b = 10 + -3. Let f(a) = 8*a**2 + 5*a. Let d(o) = b*f(o) + 3*i(o). What is the tens digit of d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3c7a (base 13) to base 7.\nAnswer: -34265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 122 + -73. Let g(r) = -r - 1. Let l be g(-1). Suppose l = -8*z - y + 321. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) 3\/2  (b) -0.1  (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrdbqvhbhrrrdbqrb. Give prob of picking 1 b, 1 d, and 1 h.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of 3\/2*i**2 - 1\/3*i**3 + 1 + 2*i. Give m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 4641571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 0 - (-2 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -615 - -615. Suppose -23*q - 110749 = -26*q + 2*s, v = 3*q + s - 110734. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 - 76 = -3*w. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5141, -5253, -5379, -5519?\n\"Answer: -7*j**2 - 91*j - 5043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46687 divided by 3.\nAnswer: -46687\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -44) + (-27 - -11 - -2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16951828.\nAnswer: 2, 23, 184259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*z**3 - 6 + 2 - 17*z**3 + 6 wrt z.\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -1\/24*n**3 + 1\/120*n**6 + 1\/80*n**5 + 0 + 1\/4*n**2 - 1\/16*n**4 - 3*n. Suppose j(y) = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -4*r**2 + 36*r + 45. What is w(9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1869 = 12*c - 10305. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2. Suppose -10 = 2*c - 7*c. Let t(b) = -3*b**2 + 0*b**2 + 3*b**c - 5*b**2. What is s(t(d))?\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*c - 96 = -3*o, 11*o - 2*c + 0*c = c + 178 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - 0 - 21\/(-27). Which is the nearest to -2\/3?  (a) d  (b) -6  (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10100210010 + 0?\nAnswer: 10100210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/48)\/((-2)\/(-4))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 4942480.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -26*i**2 + 221*i + 236. What is w(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/72 and -23\/197900?\nAnswer: 3562200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1356 + -1352. Solve -i*w + 2 + 22 = -2*b, 3*w - 9 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -4*r - 6. Let s be i(-6). Let z = 22 - s. What is the second derivative of -67*c**2 + 36*c**2 - 9*c + 6*c**z + 31*c**2 wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18669410563.8 + 1749182737.8. Let d = r - -16920227908.00000081. Let a = -82 + d. Round a to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 484 and 165?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 1. Suppose -4*l = 4, -l - 3*l - 16 = -3*z. Suppose -z*j + 3*b - 4 = 0, -j - 3*b + 18 = 2*j. Let v be (5 - 6)*1*j. Give r(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1228669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1612 (base 16) in base 6?\nAnswer: -42054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from lzwjr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**3*x**(-1\/6)*(x\/x**(2\/7)*x)\/(x**(-2\/25)\/x))\/((x**1)**(3\/14)\/(x\/(x**(3\/8)*x)*(x**0\/x)\/x)) assuming x is positive.\nAnswer: x**(1823\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -68501, -137002, -205501, -273998, -342493, -410986, -479477?\n\"Answer: n**2 - 68504*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -31974 divided by 15987?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 292755 = -4*r, 5*g - 5*r + 58572 = 6*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 22. Let j(a) be the first derivative of a**4\/2 + 2*a**3\/3 - a**2 - 2. Let q(d) = 5*d**3 + 6*d**2 - 5*d. Determine p*j(k) - 3*q(k).\nAnswer: k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -7*n + 46. What is the greatest common divisor of n and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183*v + 198*v = 105 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -9*7\/((-1617)\/12). Let k = 13\/11 - q. Let m = 372 + -372. Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 + w - 2. Let x(d) = -d. Let p(f) = -3*x(f) - y(f). Let h be p(2). Let t(j) = j + 10. Let i(u) = 1 - 5 + 6. What is h*t(b) + 9*i(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 300690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 842*g + 533. Is i(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 753 and 2761?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 11*f**2 + 18*f + 9. Let l(w) = -5*w**2 - 9*w - 4. Let n(a) = 4*j(a) + 9*l(a). What is the remainder when 40 is divided by n(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 + -31 + (12 - 28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 103*a + 287*a + 387*a + 0*a - 2*a + 3*a + (-2 + 6 - 3)*(5*a + 0*a - 3*a) - a - 2*a + 4*a to the form t*a + v and give t.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 12) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2908993.2 months to years.\nAnswer: 242416.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + g = -43, 91 = 2*m - g - 2*g. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1*sqrt(125).\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 4*v**3 - 6*v**2 + 2*v + 7. Suppose -2*r + 5 - 1 = 0. Suppose 0 = r*u - 17 - 5. Let p(f) = 7*f**3 - 11*f**2 + 4*f + 13. Calculate u*l(q) - 6*p(q).\nAnswer: 2*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1485*s**2 + 1476*s**2 + 0*s - 4441*s**2 + 1481*s**2 + 0*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 5*n**3 - 6*n**2 + 6*n - 1. Let o(j) = j**2 - j. Let t(s) = 4*o(s) + p(s). Let a(z) = -z + 9. Let f be a(8). What is t(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 376*s**2 - 4*s**3 - 375*s**2 + 4*s - 10*s as t + k*s**2 + x*s**3 + j*s and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16835*x**2 - x + 36591.\nAnswer: -33670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149 + 151 - 6341*x**2 - 469 + 169.\nAnswer: -6341*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14774 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*x = -140, 140 - 56 = 3*a - 2*x. Calculate the highest common divisor of 434 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10868.\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvviivvvvvvvvivvv. Give prob of sequence vii.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 19 + 10 + 2*a + 2*a + 2*a**2 + 0. Let r be 6 - (-15)\/(75\/20). Is t(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.27 + -1.2. Let h = p - 0.07000008. Round h to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13468168?\nAnswer: 2, 7, 240503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*a + 33*a - 10*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(152) + sqrt(152) - sqrt(152)) + sqrt(152) + sqrt(152))\/sqrt(8) + (sqrt(931) + -1)**2 - (4 + (5*sqrt(190)*2)\/sqrt(10)))*4*5.\nAnswer: -400*sqrt(19) + 18560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -365*z**2 + 64. Let o(a) = -730*a**2 + 127. Let w(x) = 9*j(x) - 4*o(x). What is the first derivative of w(n) wrt n?\nAnswer: -730*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1424\/24*(27\/6 + -3) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 23 = 4*o, 3*o - 2*m = -3 + 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 232, -9, 6, 4 in descending order.\nAnswer: 232, 6, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 20*d**2 + 738*d + 678. What is j(-39)?\nAnswer: 2316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 41 - 5b2808?\nAnswer: -5b27b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 37*y**2 - 42*y - 1. Let v be z(36). Let s = v + 243. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.480494 * 3.\nAnswer: 7.441482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/7, 3\/2, 4, 2\/17, 5, -51 in increasing order.\nAnswer: -51, 2\/17, 4\/7, 3\/2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25 + -22. Suppose -4*y = 4*a + a - 8, -a = -y - 7. Solve -f*m = -m + a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*g + w + 306 = 4*w, -185*w + 138 = 2*g - 190*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**2. Let z = 6 + -3. Let h(q) = -q + 3 - z. Determine w(h(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of 2*n**3\/3 - 2*n**2 + 3*n - 18. Calculate v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 5*a**2 - 1 - 2 + 1 + 6*a - 3. Let n be r(4). What is the greatest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of b**4\/2 - b**3 - 3*b**2\/2 + 7*b + 145. Let u(l) = 2*l**3 - 2*l**2 - 2*l + 6. What is 2*g(w) - 3*u(w)?\nAnswer: -2*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1*2)\/(-1 - -2). Suppose k*f + s + 25 = 0, -4*f = 4*s + 20 + 32. Calculate the smallest common multiple of (-30)\/4*f\/15 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 145282901 and 0.3?\nAnswer: 43584870.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9, -23, -39, -51, -53, -39, -3, 61?\n\"Answer: a**3 - 7*a**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -5*u + 1. Let w(f) = -f**3 + 18*f**2 - 18*f + 16. Let k be w(17). What is t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1624184 is divided by 2607.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3003 - 5404 - 19328 = -129*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 + 15*s**2 - 46*s - 465. Calculate the remainder when 1618 is divided by f(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-6) - 132\/36. Let y = 2 - -2. Let g be (15\/(-70))\/((-3)\/y). What is the closest to g in -8, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**5 - 2*r**4 + 36*r**3 - 88*r**2 + 64*r.\nAnswer: -r*(r - 2)**3*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*s = 9 + 29, 4*s - 40 = -2*l. Suppose -k = -3, 240015 = 2*u + k + 4*k. Let y be (u\/l)\/(2\/(-300)). What is y rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 103*g**2 - 681*g - 860. Calculate t(-96).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 43676.\nAnswer: 218380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 20 = 4*y + 3*g, -y - 4*g - 13 = 0. Let f be 2\/(4\/78*y). Let q = 22 - f. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**5 - 60*u**4 - 252*u**3 - 196*u**2 = 0. Calculate u.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1*-201)\/(444\/(-296)) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 + 2*a - 3. Let f(n) = n**2 + 2*n - 3. Let i = -3 + 1. Let t(x) = i*c(x) + 3*f(x). Let w be t(-3). Solve w = -0*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 9:41 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 3.6, 4 in ascending order.\nAnswer: 0.5, 3.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + 2 + (-18 - -7 - 59)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9973.46 millilitres?\nAnswer: 9.97346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w + 5. Let p be b(-6). Calculate the remainder when p\/(2 - 3) - -1 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149637 is divided by 24939.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 3*v = 5. Let d = -0.04 + 0.54. Which is the biggest value?  (a) 0.1  (b) v  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -36544908, 3 in ascending order.\nAnswer: -36544908, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 588 = -5*d, 3*d + 128 = 4*d + 5*n. Let j(q) = q**2 - 1100*q - 8850. What is the least common multiple of d and j(-8)?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4515 is divided by 1420?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 335 - 195. Let z = 186 - w. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 25 = -3*g. Suppose 2*i + 1 = g. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 2*a. Let t be ((-1543)\/(-80236))\/(2 + ((-2)\/12)\/(8\/106)). Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 36 = -2*y. Let w = y - 8. Is -2 - (-47 - w\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 779825682 + -90461030425\/116. Let p = n - -10787. What is the common denominator of p and -89\/16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80289.26ml to litres.\nAnswer: 80.28926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 2*h**2 - h - 4. Let s be a(3). Let i = -38 - -40. Is (21\/i - 1)*s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-268)\/201)\/(24\/18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 54016 to the nearest 1000.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5*m + 1. Let q(d) = 2*d - 6. Let p(x) = -3*x + 5. Let b(h) = 4*p(h) + 3*q(h). Let z(y) = -4*b(y) + 5*j(y). Determine z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-1)*-12)\/(-125 + (-254660)\/(-2040))?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67*b**4 - 2022*b.\nAnswer: -804*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3931 + 1973 + 1958 + 7*i. Let a(n) = -n**2 - 5*n**2 - n**2. Calculate f(a(j)).\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5552216 (base 7) to base 6.\nAnswer: -22403402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 180 + 69?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1303 or -1301?\nAnswer: -1303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2132312 (base 5) to base 13\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 3*g - 66, -g + 4*q + 11 = -3. Suppose -g - 31 = -3*k. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 32 = -128. What is the highest common factor of 384 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153767563 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p + 5*s + 27 = 5, 0 = 5*p - 3*s - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 493*h. Let q(r) = -2*r**2. Calculate i(q(o)).\nAnswer: -986*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/983650305?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s + 7*s**4 - 62 - 2*s**4 + 5*s**3 + 64 to z*s**2 + f*s + w + l*s**3 + n*s**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuyuuy. What is prob of sequence yuu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*v**2 + 24*v**2 + 41*v**6 - 18*v**6 + 9*v**2 wrt v?\nAnswer: 2760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((r + 1 - 1)*(-r + 2 - 2) + 2*r**2 - 7*r**2 + 0*r**2)*(-13*r**3 - 5*r**3 - 24*r**3).\nAnswer: 252*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**3 + 0*n**2 + 0*n**2)*(0*n**2 + 3*n**2 - n**2) - 86*n**5 + 57*n**5 + 141*n**5.\nAnswer: 114*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -526, -1034, -1524, -1990, -2426, -2826, -3184, -3494?\nAnswer: -3750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/144)\/(-1 - 382994\/(-382998)). Let x = i + 2666. Find the common denominator of x and -2 + 141\/(-12) - 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34739509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - (-15)\/28 - 34\/119. Let m be (-2 + 0)*(-2)\/12. What is the closest to i in -1\/6, m, 3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 452*y + 1926 = 26334 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (3*((0 + sqrt(539) - sqrt(539)) + 2 - sqrt(539)) + 3*(sqrt(539) + 0) + 0 + sqrt(539)*-1)**2 + 1.\nAnswer: -84*sqrt(11) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 338336\/7, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 5.6 and -893346.\nAnswer: -893340.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - -3)*4\/8. Let x(t) = -t**3 - 6*t**2 + 7*t + 4. Let w be x(-7). Let d(u) = -u**2 + 8*u - 8. Let s be d(7). Sort s, w, j in descending order.\nAnswer: w, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/5 - 22384*y**2\/5 - 452472*y.\nAnswer: -2*y*(y + 102)*(y + 11090)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4107 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -11a376 (base 12) in base 6?\nAnswer: -10054230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 times -1.05082?\nAnswer: -0.840656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 37259847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.6, 0.17, -2\/15, -2\/9, 54\/91?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -75*y - 80*y + 228*y - 74*y. Let q(b) = -87*b. Calculate k(q(a)).\nAnswer: 87*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 19. Suppose -2*m = -5*d - 0*m + 178, 2*d - 5*m - 67 = 0. Let i be (u\/(-3))\/((-2)\/d). What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + 5*r - 20, l + 1 = -l - 3*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 11 + 47\/(-7))*7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**5 + 76*z**4 + 140*z**3 + 68*z**2.\nAnswer: 4*z**2*(z + 1)**2*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - -177. Let i(l) = 5*l**2 + l**3 - 194 + 2*l**2 + p + 7*l. Let k(v) = -2*v - 2. Let r be k(2). Calculate i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of 39*k**8\/112 - 10*k**4\/3 + k**3\/6 - 73*k**2. What is the second derivative of v(b) wrt b?\nAnswer: 2340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 3*n + 42, s - 6*s = 4*n - 91. Calculate the remainder when 104 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5*24\/(-60))\/(-6)*(-8)\/(-2)*-6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + -26. Let t = r + 25. Let c = -6 - -5.7. What is the second biggest value in t, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 5*q + 12. Let k(n) = -5*n - 10. Let r(b) = -6*k(b) - 5*u(b). Let c(f) = -7*f. Give -5*c(m) - 6*r(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142 - 25 - 99 - 86.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 118908312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 5:11 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.66 + 0.54. Round f to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4240441314 (base 5) in base 12?\nAnswer: -2ba2a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/4)\/((-15)\/(-20)). Let r = -1 + l. List the prime factors of (-6)\/4*40\/r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 22052 = 2*a, -3*a + 2*j + 35446 - 2355 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w. Let z(q) = -q - 1. What is 3*t(h) + 2*z(h)?\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from asbbta. Give prob of sequence st.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-17 + 62 + 22)*(0*o + 0*o + 2*o) - 4 + 3*o + 4)*(-6 + 6 - 3*o) to d*o**2 + j*o + z and give d.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44774246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -11*x + 8*x. Let y(m) be the first derivative of 4\/25*m**x - 4\/5*m**4 + 4\/5*m + 8\/5*m**3 - 8\/5*m**2 - 5. Factor y(r).\nAnswer: 4*(r - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5.35 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) + sqrt(24) + -4*sqrt(384))\/sqrt(8).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5315.\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -521 (base 9) to base 3\nAnswer: -120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84396704 divided by 4.\nAnswer: -21099176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, v: 4, y: 11, w: 3}. Give prob of picking 1 v and 1 y.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 16*i + 2. Let y(v) = -v. Let b(u) = -p(u) - 10*y(u). What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12853 + 0.3?\nAnswer: 12853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4))**(-3\/41)*(h**(-1\/5)\/h)\/h**(-10))**28 assuming h is positive.\nAnswer: h**(52192\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10136 by -1.\nAnswer: -10136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.53867 and 5796.\nAnswer: -3122.13132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 319 + -313. Let j = 41 - q. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.038 + 0. Let q = x + 0.024. What is q rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 - 1 - 3*v - 2*v**3 + 2*v**2 - 5*v**2. Let j be d(-2). Suppose 12*s - 16*s = -260. What is the highest common divisor of j and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/25632317 and -71\/1015.\nAnswer: 897131095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 5*h - 916 = -187, 4*i = -h + 955. Which is smaller: 235 or i?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxe. What is prob of sequence xe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4, 2, 20, 56, 116?\n\"Answer: v**3 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3158792 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 990.94 to the nearest 10.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/((-16)\/(-18))*12\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 792 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(171) + sqrt(171) + 3*sqrt(171)*1 + sqrt(171))\/sqrt(9))**2 + ((sqrt(2432) + 2*sqrt(2432))\/(2*sqrt(6)\/sqrt(3)))**2.\nAnswer: 13680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 204\/(-170) + (-78)\/(-15). Sort 0.2, -4.2, o, 1\/2.\nAnswer: -4.2, 0.2, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11*g*n*t + g*n - g*t - 3*n + 78*t wrt g?\nAnswer: -11*n*t + n - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11983532.\nAnswer: 2, 11, 272353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/132 and 109\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6*((-2)\/10 - 18\/60). Let v(k) = -2*k**2 - 2*k. Let r(o) = o**3 - o**2 - o. What is u*v(h) - 6*r(h)?\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1276 + 39*b**3 - 1276 - 8*b**3.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 12 = 2*d. Let f = -51 - -72. Let i be -3*f\/(-9) + -2. Solve i*w - w - d = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1917*k**4 + 64*k**3 - 64*k**3 + 2313 - 3876*k**4 wrt k?\nAnswer: -7836*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 49725699 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(0 + 15\/6). Solve -5*g + 5*s = 0, 0*g - d*s = 5*g + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - g - 567. Calculate d(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, d: 7, j: 3}. Give prob of sequence dnnj.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ehj when three letters picked without replacement from {j: 1, h: 6, a: 1, r: 3, c: 1, e: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1380290609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1093, -8814, -29765, -70558, -137805, -238118, -378109?\n\"Answer: -1102*t**3 - 3*t**2 + 2*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 15*k**2 + 1. Let h = 10 + -11. Let p be h*(-2)\/(0 - -2). Calculate the smallest common multiple of j(p) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*q - 12*q = 6188. Calculate the highest common divisor of 476 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 1:26 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28 - 12. Let u(y) = y**3 - 4*y**2 + 8. Suppose -b + 3 + 3 = 0. Let v be u(b). What is the greatest common divisor of v and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*d + d - 5*d)*(d - 8 + 8) + (d - 3*d**2 - d)*(1 + 2 - 4) as y + k*d**2 + n*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*12\/144*(-2)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2103)\/(-15) - (4 + 38\/(-10))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b + -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n*n\/(n*n**(4\/15))*n*n*n**6 assuming n is positive.\nAnswer: n**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 + 89315*r + 178610.\nAnswer: 5*(r + 2)*(r + 17861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 657a58 (base 11) to base 13\nAnswer: 2a9c80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -13*p**3 - p**2 - p. Let k be z(-1). Suppose -2*w + 19 = -k. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**2 + y. Let o(f) = 14*f**2 + 291*f. Determine o(w) + 4*q(w).\nAnswer: 2*w**2 + 295*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 1\/4  (c) -3  (d) 115  (e) -2\/13  (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 66 - 6. Calculate the remainder when a is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.274515526 and 251?\nAnswer: 251.274515526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 20660663 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.65080603 rounded to 2 decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 4*m**2. Let h(t) = -27*t + 27*t + t**2 - 4*t**2. What is h(y(l))?\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 413494507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y + 2. Suppose -o = -3*n + 17, -3*n + 3*o - 4*o = -19. Let z = 3 - 2. Let d(k) = -n - z + 5 - 3*k. Give 3*d(g) + 2*w(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -22. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 52*21\/18*(161025\/38)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 2716?\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 482758 and 10678.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 266 = 9*d + 3*d + 26*d. Suppose 29 = v + g - 35, 4*g = -2*v + 120. Suppose 5*j + v = d*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - -3. Let j = d - 2. Suppose -3*g - 6 = -j*g. Solve -2*r + 1 = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45041.079633 - -45041. What is x rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 279306 and 279306.\nAnswer: 279306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kxkkvknnw. Give prob of sequence kxw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n + 31622118239485597 - 31622118239485597.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.30006 litres?\nAnswer: 4300.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -1303?\nAnswer: 5\/1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q - 5439 = 14*q. What is the common denominator of 2\/(-8) + q\/84 and -49\/13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3*z - 9. Let n be s(10). Let t = n + -18. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, p: 1, k: 9, x: 2, l: 3, d: 2}. Give prob of picking 2 d, 1 k, and 1 p.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 - -46. Suppose 7*l - 2*l - w = 29, n = 4*l - w. Let t(y) = -y**2 - 13*y - 20. Let j be t(-8). Solve 4*f = j, -l*r + 8 = 4*f - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 2. Suppose 0 = -7*v + 4*v - u. What is the common denominator of 23\/8 and (v\/(-5))\/((-12)\/(-40))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 932747594 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 9:15 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 531, 395, 153, -207, -697, -1329?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -118\/11632421 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away 27.0165?\nAnswer: -27.2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-6)*(r\/(r\/r**(-2\/11)))\/r)\/((r**6*r)\/r**(-3\/5)))**(-2\/23))**13 assuming r is positive.\nAnswer: r**(21138\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.6 and 52511885.\nAnswer: -136530901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3567\/(-410))\/(-87)*(-2)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-132)\/9 - (-2)\/(-6). Let i = -14 - r. Let o(v) = 39*v - 2. Is o(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 140 (base 8) to base 7\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 520 = -4*x, 5*x - 646 = -2*p + 3*p. Suppose -321 = -5*u + x. What is the remainder when u is divided by (10\/4)\/(13\/7176*60)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4 + 6 = 0. Suppose 4*r - 3*d - 218 = 0, -5*r - d = q*d - 259. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32208314606 - 0.05.\nAnswer: -32208314606.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 10.8. Let u = 3 + n. Let s be 1 + 2 - (-1479)\/(-510). Which is the closest to 1?  (a) u  (b) 3\/7  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u**3 + u - u + (-u - u + 0*u)*(-2*u**2 + u - u) + 0 + 0 + 5*u**3 + 2.\nAnswer: 5*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**1*i\/(i**(1\/15)*i)*(((((((i*i**(3\/2))\/i)\/i*i)\/i*i)\/i)\/i)\/i)**(-2) assuming i is positive.\nAnswer: i**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 7:01 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**(-2\/13))*f**(-2\/7)*(f**(-1))**(-41\/3))**(-27) assuming f is positive.\nAnswer: f**(-33255\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -280200854.4 rounded to the nearest 1000000?\nAnswer: -280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 26 - 34 = 0. Let i = -94 + 96. Which is the closest to z?  (a) 1\/6  (b) 0.5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 3299016?\nAnswer: 6598032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 895.1216 millilitres to litres.\nAnswer: 0.8951216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -18*g**2 - 6*g - 7. Determine m(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -26, -68, -110, -152?\n\"Answer: -42*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4 + 240*d**3 + 3375*d**2.\nAnswer: d**2*(d + 15)*(d + 225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -93963 and -0.5.\nAnswer: 46981.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -119*x**3\/2 - 213*x**2\/2 + 39*x. Let k(p) = 89*p + 53. Let c(w) = 2*d(w) + 9*k(w). What is the derivative of c(y) wrt y?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000033378 rounded to 7 dps?\nAnswer: 0.0000334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/21*((-1755)\/99)\/(-13)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 29*r**3 - 203595*r - 8469095?\nAnswer: 87*r**2 - 203595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 times 2?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**4\/2 - 5329*y**3\/2 - 100041*y**2\/2 - 624071*y\/2 - 641165 = 0.\nAnswer: -5234\/5, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(208)*-2*-3 - (sqrt(104)\/((sqrt(120)\/sqrt(5) + sqrt(24))\/sqrt(3)))**2*-2) + 4.\nAnswer: 17\/2 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/(g*g**(-4)\/g)))**(-36) assuming g is positive.\nAnswer: g**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1230 = -26*t + 115*t - 1351 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -319 or -2541\/8?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 44 - 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.11 - -0.11. Let z = 2.44 - -0.56. Let p = -2818 - -2823. Put z, p, b, -5 in ascending order.\nAnswer: b, -5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 29\/2. Let i = -13 + 12. Let f = -105\/26 + 197\/52. Which is the nearest to i?  (a) f  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -5*l**2 + 133*l + 90. Calculate v(27).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1467314289 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58998 is divided by 11658?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400495 is divided by 1054.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: a (base 16) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14802.81 rounded to the nearest 100?\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005315 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-10)\/w**(1\/18))\/(w**(-3\/2)\/(w**(6\/7)*w)))**(-12\/11) assuming w is positive.\nAnswer: w**(1688\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 1\/9, -0.5, -1, 0.1, -65 in increasing order.\nAnswer: -65, -1, -0.5, -0.3, 0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 10*b + 4. Let d be l(9). Let k = 17 - d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2655817, -2655815, -2655813, -2655811, -2655809?\nAnswer: -2655807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*r - 2*r**3 - 3*r**3 - 21*r**2 + 26 + 51*r**2 + 4 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/15)\/((-58)\/145).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/2)\/(-2 + 5\/2). Sort 2, -3, b, 5 in increasing order.\nAnswer: -3, 2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*g**2*l + 159*g**2 - 1258*g*l - 2627*l + 74 wrt g?\nAnswer: 6*g*l + 318*g - 1258*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -1. Let l(s) be the second derivative of -7*s**4\/12 + 35*s**2\/2 + 35*s. Let r(g) = 35*a(g) + l(g). Let d(o) = o. Determine r(d(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 PM and 1:21 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 25875835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1279a3 (base 12) in base 5?\nAnswer: 34210234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 615940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -846*x**3 - 808*x**2 + 2 wrt x.\nAnswer: -5076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, -1\/6, -1, -1\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -p**8\/840 + p**4\/8 + 4*p**3 + 4. Let x(j) be the third derivative of d(j). Differentiate x(s) wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 753473 divided by -21?\nAnswer: -107639\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(6\/(-81))*(-1140)\/(-30). Calculate the greatest common divisor of r and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -8 - (-20 - -16 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + (-39)\/36)*-2. Let x = -15627.3 + 15627. What is the fourth biggest value in w, 2\/5, x, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2016 divided by -28\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*u = 22*u + 33*u - 22 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -j**2 - 494*j + j**2 + j**2 + 492*j + 108*j**3 + 60*j**3 - 1 in the form q*j**3 + t + x*j**2 + r*j and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -515*k - 5*l - 20 = -518*k, -k + 4*l = -2 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 98287 * 2.\nAnswer: 196574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**2 - 2*j - 3. Let p(s) = -1. Let k(i) = 4*p(i) - x(i). Let z be k(-2). Suppose 0 = -2*l + 5 - 1. Put l, -5, z in decreasing order.\nAnswer: z, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -9*w + 27. Let o(b) = 22*b - 54. Calculate 10*c(r) + 4*o(r).\nAnswer: -2*r + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 96249648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 minus 1.21173?\nAnswer: -1.09173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of 113*k**7\/42 + k**5\/10 + 737*k**4\/24 + 93*k**2 + 2*k - 1. What is the third derivative of q(u) wrt u?\nAnswer: 13560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 684 and 133?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 574 + -368. Let j = p + -92. Calculate the remainder when j is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of w**7\/105 - 19*w**6\/30 + 31*w**5\/2 - 150*w**4 - 39*w**2 - 7*w - 3. Suppose p(c) = 0. Calculate c.\nAnswer: 0, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(360)*1 - sqrt(360)) + sqrt(360))\/(sqrt(1152) + (sqrt(1152) - (sqrt(1152) + sqrt(1152)*1) - sqrt(1152))))\/(sqrt(36)\/(sqrt(144)*1)*-3).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -209 - -72. Let p = -98 - g. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 31536 - -4?\nAnswer: 31541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -17 - 15. Let o(k) = 2*k**2 - k - 1. Let y be o(-1). Suppose 0 = 114*h - 418 - 38. Solve -2*i - h = 0, -5*i - g = -2*r - y*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3035178?\nAnswer: 2, 3, 56207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*c = 31*c - 15*c - 84 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142683696?\nAnswer: 2, 3, 839, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of x**5\/30 + 73*x**2. Let y(h) = -210*h. Determine y(r(i)).\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 199428, 199390, 199332, 199254, 199156, 199038, 198900?\n\"Answer: -10*b**2 - 8*b + 199446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12732 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: Suppose -4*i + 18 = -0*i - 3*l, 5*l = -i + 16. Let x = -4 + i. Let u(k) = k**2 - 3*k. Let j be u(3). Solve x*m - m + 2 = j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrjr when four letters picked without replacement from jjjbejrrrj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 - -1 - (-327)\/6. Let k = m + -209\/4. What is the nearest to 2\/11 in k, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 16) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -790 - 1205 = 20*o - 125*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2321134433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**4\/13 - 11620*h**3\/13 - 93090*h**2\/13 + 11620*h\/13 + 93088\/13 = 0. Calculate h.\nAnswer: -8, -1, 1, 5818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 452.787ml to litres.\nAnswer: 0.452787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4507889 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(171) - (sqrt(171) - (sqrt(171) + 0))) + -1 - -2*sqrt(171)*-1)*-1 + 5)**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -1102?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3301 - -3301.1501. Let r = -0.0499 - k. Which is the third biggest value?  (a) 43  (b) r  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 3*r**5\/5 - 180*r**4 + 1788*r**3\/5 + 6*r**2\/5 - 1791*r\/5 + 894\/5 = 0.\nAnswer: -1, 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 6 = 4*t, 10836*t - 60 = 10831*t - 4*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 - 11*c + 2. Let r be h(-11). Let f(i) = -356*i**2 + 359*i**r - 2 - 10*i - i. What are the prime factors of f(-6)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7719.382 centuries to millennia.\nAnswer: 771.9382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -12  (b) 0  (c) -0.4  (d) -4  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1092, -2248, -3406, -4566?\n\"Answer: -d**2 - 1153*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 3*b**3. Let g(f) = 2*f**3. Let t(r) = -r**3 - 10*r**2 - r - 13. Let p be t(-10). Let z(w) = w**2 + 4*w. Let d be z(-5). Calculate d*g(c) + p*n(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -97 or -66?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(612) - (-3*(1 + sqrt(612)) - sqrt(612)))*-5)**2*-6.\nAnswer: -2296350 - 27000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001438 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.58 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53617 is divided by 169.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20468 - -20514. What is the fifth biggest value in x, 0, 2\/13, 3\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33456?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 129 divided by -3668\nAnswer: -129\/3668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -11.91453 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 5*t = 16, 4*t - t = -g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of v**5\/60 - 5*v**2. Let z(j) = -6*j + 9*j - 2*j + 6*j. Determine z(g(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 6*a**2 + 7*a - 7. Let q be c(5). Let y be ((-6147)\/(-9))\/(2\/6*q). Suppose 16*b = y + 21. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2462 = 97*d + 4521 - 3611 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -48 + (12 - (-14 - -13 - -9)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11)\/(-3)*(1 + 5). Let p be 20\/30 + h\/(-6). Let n = p + 19. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -310, 3 in decreasing order.\nAnswer: 4, 3, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: d (base 16) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/5 + (-54)\/(-15). Suppose 4*t + 4 = 2*t. Let g = u + t. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c7c7 - 19c?\nAnswer: c62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - u + 7. Let y be i(0). Let j be (-1)\/2 + y\/2. Suppose j*k - 67 + 13 = 0. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**2 + 1 + o**2 - o**2 + o**2 to the form n*o + g + a*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + l + 1. Let j(k) = -7*k**3 - 5*k**2 + 15*k + 8. Let n(y) = -6*i(y) + j(y). Is n(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2836961 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*s + 4 - 2 - 2.\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-18)\/(-18))\/(1\/((-66)\/2222))).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 313657 + 149170. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -5*k**2 + 3930*k + 355880 = 0.\nAnswer: -82, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -3*u + 32. Let s(a) = 3*a**3 - 2*a**2 + a + 1. Let o be s(u). Suppose 9 = o*v + 3. Solve v + 4 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86\/7 + 12. Are 0 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -71818.2928 and -2.\nAnswer: -71820.2928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f - 10*f + 7*f + 0*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 12) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002606 to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -469 - 138*i**2 - 195*i**2 + 469.\nAnswer: -333*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.1  (b) -1\/22  (c) -0.33  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 3:45 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 16 + 3 + 2*q**4 + 2 + 4*q**2 + 4*q**3 + q to m*q**3 + t + c*q + y*q**4 + a*q**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**6*s - 20*a**4*s + 5*a**3 - a**2*s - 1707*a*s wrt a?\nAnswer: -120*a**3*s - 480*a*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - -7) + (-13 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77565106?\nAnswer: 2, 19, 1223, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7391 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of 2*y**2 + 108. Let h(k) = -41*k + 152*k - 36*k - 42*k - 37*k. Calculate h(a(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 3*p + 9 = 0, -48*y + 45*y - 19 = -5*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2. Let d(m) = -108*m. What is d(v(i))?\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/3*(-108)\/(-72). Let s be 4\/3 + (-1)\/1. Which is the smallest value?  (a) s  (b) 0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 5*m**2 + 3*m + 5. Let s be p(4). Solve 0 = -h - 0*h - s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (64*v**3 - 16*v**3 - 39*v**3 - 56)*(-2*v + 0*v + v).\nAnswer: -9*v**4 + 56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10915 + -10912. Suppose -8 = 2*x, 5*x - x = -2*h - 16. Solve h*g + 10 = -5*v - g, c*v - 4*g - 17 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 1 = 2*p, -5*p - 3*a + 30 = -0*a. Let j be 3*(3\/3 - 0). Solve p = 2*f - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71296?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/144 and 143\/173988?\nAnswer: 695952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 3:47 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {y: 1, u: 11, i: 5}?\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 53 - 13)*(2 - 2*t**5 - 2).\nAnswer: -68*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33\/(-1485))\/(12\/(-120)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 170, 417, 666, 917, 1170, 1425, 1682?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 14535*q**2 - 3401193*q + 696. Calculate s(234).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 1)*(-u + 23 - 23) - 3*u - u + 3*u - u - 1 - 1 + 3 to l*u + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 8:09 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 87420.8 + -3?\nAnswer: 87417.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of -r**7\/14 - 11*r**6\/10 - 129*r**5\/20 - 73*r**4\/4 - 28*r**3 - 24*r**2 - 124*r. Determine u so that f(u) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17664 is divided by 83?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) + 4*sqrt(88))\/sqrt(8)*-6.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(125) - (1 + sqrt(125)*-1)) + (sqrt(125)*2 + -4)**2 + 0 + -2*(1*sqrt(125) + -2) + -2.\nAnswer: -80*sqrt(5) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of -i**5\/60 + i**4\/6 - i**3\/2 + 18*i**2. Give w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 13514, 15553, 17592?\n\"Answer: 2039*u + 11475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6634 - 183*r + 6634)*(-1 + 1 - 3)*(0*r + 5*r - 2*r) in the form n*r + a*r**2 + k and give a.\nAnswer: 1647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 8*s. Let x(p) = -29300136*p**2. Give x(o(t)).\nAnswer: -1875208704*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 140*m**5 + 3*m**4 - m**3*u + 39134*m + u wrt m?\nAnswer: 2800*m**3 + 36*m**2 - 6*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 4*g**2 + g - 7. Calculate a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1\/4  (b) 1605  (c) -5  (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 107*d**3 - 648*d**2 wrt d.\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2861*r - 37109 = 241994 + 44798 + 25141 for r.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.04 + 2.96. Let c be (-13)\/(130\/(-12))*-5. Let u be (c\/9)\/(4\/6). Put x, -2\/9, u in ascending order.\nAnswer: u, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 3, m: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 555 = -3260. List the prime factors of z.\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 7:19 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -37\/1673, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 8:50 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 204 = 2*j - 2*f, -5*j + 255 = 4*f. Suppose -3*d + 186 + j = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31447 is divided by 828?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -94.6 - -95. Let q = 3 + -1. Sort f, q, 2\/9 in descending order.\nAnswer: q, f, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/330*5*(-1)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -5*w**3 - 7*w**2 - 7*w - 115. Let g(p) = -2*p**3 - 3*p**2 - 3*p - 57. Let o(z) = 62*z - 55. Let d be o(1). Determine d*g(k) - 3*u(k).\nAnswer: k**3 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/(-1470))\/((-20)\/(-150)*3\/8)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 76 - 204. Suppose -a = 8*k - 6*k. Let w = -33 - k. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1289*c - c**2 - 1289*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2. Let s(x) = 41*x + 14. Let u(k) = -21*k - 7. Let v(f) = -2*s(f) - 5*u(f). Let g(l) = 11*l + 3. Let a(w) = -7*g(w) + 3*v(w). What is a(t(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 963*a + 1 = 962*a, 0 = 2*x - 7*a - 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 5\/3*392\/(-35)*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 144338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 650 and 438734270?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 11:51 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -35*v**2 - 5*v - 5. Let j = -2000 - -2005. Let c(n) = -52*n**2 - 8*n - 8. Give j*c(k) - 8*m(k).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -63, -11, 1, -7.\nAnswer: -63, -11, -7, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6118 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 38.8697 * -0.2\nAnswer: -7.77394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3 less than -0.84?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k. Let n(i) be the third derivative of -2*i**5\/15 - 5*i**2. Give n(t(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8973 divided by -28?\nAnswer: -8973\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6040 + 15)\/((-1)\/4). What is f rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 4*q**2 - 2*q + 5. Let x = 9 + -3. Let c(j) be the second derivative of -j**3\/3 + 8*j**2 - 258*j. Let h be c(x). Give l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 6:41 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 2*m**3 + 1\/4*m**2 + 9\/2*m**4 + 0*m - 64. Factor s(f).\nAnswer: f*(6*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 4, -340, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, 0.089, -22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/91  (b) 0.2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 13*n - 29. Suppose 2*q - y = -7, 3*y - 6 = -4*q + 5. Let u be (6\/7)\/(q\/(-7)). Calculate the remainder when j(u) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1023409291 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 2*v - 10. Put v, 1, -8, 0 in decreasing order.\nAnswer: 1, 0, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(19)*-2 + 5 + sqrt(171) + -1.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 236 and 1?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*v + 14 = 33*v. Is -1\/406 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 557*g**2 - 14*g - 1214*g**2 + 665*g**2 + 22*g**3 in the form t + k*g + o*g**3 + m*g**2 and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-7\/3)*(c*c\/(c\/c**(-5))*c)\/c)\/(c\/(c*c**8\/c*c)*c*c\/c**(-5)) assuming c is positive.\nAnswer: c**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 966 is divided by 458?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 4*v**2 + 14\/3*v**3 + 0 - 5\/24*v**4 - 3*v + 1\/20*v**5. Find the first derivative of p(c) wrt c.\nAnswer: 6*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: (1\/9*90\/(-30))\/((-8)\/(-1728))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1707 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -101 - -254. Suppose d - 173 = -4*w. Put 3, 26, w in decreasing order.\nAnswer: 26, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8126484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 11*n - 5*q = -55, 2*q = 4. What is the remainder when 243 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 - 1786*y + 19768. Give a(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 299178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(704) + 2)*-3 + 0 + 6*4*(5 + sqrt(704)))**2.\nAnswer: 38304*sqrt(11) + 323460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from msb. What is prob of sequence sm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 76 = -f, -5*f + 418 = 4*u - 26. Suppose 3*p = 5*l + 75, 4*p - 5*l + l = f. What is the lowest common multiple of 2 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c + 1. Suppose -10 = -r - 1. Let f(w) = 12*w + 4. Suppose 16 = -5*q + 2*d, -7*q + 4*q + 6 = 4*d. What is q*f(h) + r*g(h)?\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3436 a factor of 6538951956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2918 - -2923. Sort -1, 20, 3, q in decreasing order.\nAnswer: 20, q, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 - 5*o + 9 + 2*o**3 + 0 to b*o**3 + i*o**2 + c*o + h and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*x, 0 = -0*o + 2*o - 2*x - 12. Suppose o*d - 120 = 805. Suppose -4*v + 3*w = -83 - 65, -d = -5*v + 2*w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 25*g - 58 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of k**3\/3 - 35*k**2\/2 + 48*k - 784. Calculate f(34).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 20100335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*f = 5*k + 17*f - 56, 6*k = -5*f + 71. Calculate the smallest common multiple of 4774 and k.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/7)\/y)**9*(y\/y**(2\/5))**(-9))\/(y*y**(-6)*y*y**13*y*y)**(6\/11) assuming y is positive.\nAnswer: y**(-804\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -475 - 466 = 22*f - 105 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 256799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2. Let c(k) be the second derivative of k**7\/280 - k**4\/12 + 8*k. Let g(j) be the third derivative of c(j). What is g(n(z))?\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - 11023433355?\nAnswer: -11023433352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 328496?\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56547?\nAnswer: 3, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 10*v**2 + 9*v + 5. Let x be l(9). Suppose -2*y = x*n, -2*n + 4*y = -y. What is the tens digit of (-1 - 21)\/(-2 - n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -873, -886, -899, -912, -925?\n\"Answer: -13*q - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 45227*-30\nAnswer: -1356810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 - 6*z**2 - z - 1. Let r = 27 - 33. Let d be k(r). Suppose 0 = d*s - 46 - 44. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2307)\/(-23839))\/(18\/3038)?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.1162139  (b) -5  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0221 and -0.15.\nAnswer: -0.1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -622 - -625. Suppose -4*a - 12865 = -2*m - m, -i*m - 5*a = -12883. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -2.97. Let x = k + 1.021. What is x rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - -5735?\nAnswer: 5737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -9*l**2 + 7*l + 4. Let w(s) = 8*s**2 - 6*s - 3. Let a(u) = -4*g(u) - 5*w(u). Let f be (1 - 2)*-3 + -2. Let i be a(f). Is i less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -169*f**3*q*w**2 + 2*f**3*w**2 - 25*f**2*q - f**2 - 2*f*q*w**2 wrt f.\nAnswer: -1014*q*w**2 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o + 1. Let n be c(3). Suppose -84000016 = -6*d + 3*d - 4*u, 27999984 = d - n*u. Round d to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12176 - -38960. Calculate the greatest common divisor of u and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4 - 1 + t + 1. Let d = 1685 + -1689. Give b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 79543.9 kilograms?\nAnswer: 79543900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 3*q**2 + 297*q - 2001. What is l(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(3*6\/(-81)))\/((-3)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5407.319nm to kilometers.\nAnswer: 0.000000005407319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -179, -1836, -5091, -9944?\n\"Answer: -799*t**2 + 740*t - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 868394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 284.596136 rounded to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12771432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 739 + -724. Are 0.8 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -3*s. Let c be n(-1). Solve -t - 2*q - 3 = -3*q, 0 = -c*t - 5*q - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-5*(sqrt(156) + (sqrt(156) - sqrt(156)*-1)) + sqrt(156))\/(-5*sqrt(12)*-3))**2.\nAnswer: 3448\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576424008?\nAnswer: 2, 3, 71, 112759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g**2 - 2*g**2 - g**2 + (0 - g + 0)*(0 + 2*g + 0) - g**2 + 4*g**2 - g**2)*(-1634 + 281 + 86) to l*g**2 + x + h*g and give l.\nAnswer: 2534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -369 + 249. Let o be z\/21 - (-4)\/(-14). List the prime factors of o*2*72\/(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(56)*2 - sqrt(56))*4)\/sqrt(8) + 2)**2 + 1.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d - 1. Let k(u) = -2*u - 333. Let x(h) = -k(h) + 2*o(h). Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.2  (b) -1\/2  (c) -186  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 31*d**2 + 82*d + 793. Let w(v) = 5*v**2 + 13*v + 132. Let n(x) = -6*f(x) + 37*w(x). Factor n(i).\nAnswer: -(i - 7)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9887*o + 11 = 9886*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d + 0*d + 2*d + (0*d - 7*d + 4*d)*(2 - 2 + 2)*(2 - 2 + 1).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -1\/5  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of -47*s**5\/60 - 143*s**3\/3 - 22*s**2 - s. What is the derivative of w(a) wrt a?\nAnswer: -94*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1337428, 2674870, 4012312?\n\"Answer: 1337442*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -57 - -67. Let j(s) = 63*s**3 - 53*s - 8 + 51*s + t. Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 8*u - 60 = 0. Let x(k) = -2*k + 6*k - u*k**2 - 4*k. Let j(n) = 2*n**2 + n**2 - 5*n**2 + n**2. What is j(x(b))?\nAnswer: -144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3412 and -0.0426.\nAnswer: -145.3512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 5*y**4 - 460*y**3 - 1425*y**2 = 0.\nAnswer: -3, 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 13) + 6 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2255\/825)\/(-26*8\/(-1560))?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.623 times -977?\nAnswer: 608.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/2 + 9 - 23. Let z be (2\/4)\/(-18 - d). What is the second biggest value in -1, 26, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1267 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-3 - (-3 + 4 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -0.88216?\nAnswer: -3.52864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 450\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 178.6302 + 656?\nAnswer: 834.6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**5\/7 - 1228*a**4\/7 + 193346*a**3\/7 - 1488336*a**2\/7 + 2937888*a\/7.\nAnswer: 2*a*(a - 303)**2*(a - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 + 21*j**2 - 5*j + 9. Let n be p(-18). Suppose 0 = -9*q - 351 + n. Let h be (-16)\/(-6)*8\/q. Is -1 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -150449 divided by -419\nAnswer: 150449\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3, -12, 0.41, 4\/7, -31, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -28, -41, -50, -55, -56, -53, -46?\n\"Answer: 2*x**2 - 19*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9883*a**3 + 29*a**2 - 11*a + 2.\nAnswer: -59298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of m**4\/6 + 23*m - 2. Let o(q) be the third derivative of -7*q**4\/12 - 3*q**2. Give o(k(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 7631*d.\nAnswer: 7631*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/2380 and 38\/595?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of 0*z**4 + 0*z**3 + 0*z - 4 + 2\/5*z**5 + 2*z**2. What is the second derivative of k(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9907355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.41 - 8. Let n = -124.98 - -126. Let g = u - n. What is g rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 150539, 150451, 150363, 150275, 150187?\nAnswer: 150099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + 55. Let q be 2 + f\/11 + (-34)\/187. Let y = 92 + 12. Calculate the highest common factor of y and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u - 1. Determine f(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q**2 + q - 6. Let c be p(-6). Let n(x) = x**2 + 3*x - 11. Let h be n(4). Suppose -h*l + 13*l = -48. What is the highest common factor of l and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of a**3\/6 + a**2 - 69*a + 2. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*s**3 + 11*s**3 - 6*s**4 + (-4*s**3 - 2*s**3 + 4*s**3)*(2*s + 0 + 0) + 4*s**4 + 2*s**4 - 7*s**4 + 0*s**4 + s**4 + 0*s**4 + s**4 + 4*s - 4*s.\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4478, 4527, 4636, 4829, 5130?\n\"Answer: 4*r**3 + 6*r**2 + 3*r + 4465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 298, 595, 900, 1219, 1558, 1923?\n\"Answer: o**3 - 2*o**2 + 296*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c**2 - 28*c - 12. Let p = -79 - -88. Let o be s(p). Let g = o - -54. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40 - 92. Let p = 58 + j. List the prime factors of p\/(-6) + 96 - 1\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.16116 to one dp.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 93*l + 6645. Determine x(-75).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -5*x - 20, -29*x + 4 = -28*x + u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*i**4 + 31*i**4 + 20*i**4 + 5*i**2 + 6 wrt i?\nAnswer: 888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446358 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 132729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13029786 and 341649.\nAnswer: 377863794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g - 31*g = -2347000040. Suppose 2*n = 3*w + 46940006, g = 5*n + 13*w - 14*w. What is n rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)*2 + 4 + 1)**2*-4 + ((sqrt(1400) - sqrt(1400)*-1) + sqrt(1400) + sqrt(1400) + sqrt(14))\/((sqrt(21)*3 + sqrt(21))\/sqrt(3)).\nAnswer: -2148 - 2519*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 - (-440)\/(-47795)*1628.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 = -2*w - 5*g, 187 = 5*w - 2*g - 76. Suppose -56 + w = -r. What is the second derivative of 3 + 41*y - r - 48*y + 12*y**2 wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*w**2 - 8*w**2 + 0*w**3 + 3*w**3 + 2*w**3 as o*w + n + h*w**3 + u*w**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + -100?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-76)\/(-6) + (-1)\/(-3). Suppose -3*x + f = 5*i, 0 = -5*i - 5 - 0. Does 6 divide (x\/1)\/2 - -15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of 0*d**5 - 5\/2*d**3 - 1\/6*d**6 + 0 + 0*d**2 + 13*d + 0*d**4. Find the second derivative of z(b) wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*m - 6 = 45*m + 4*k, 0 = -8*k - 32 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1325 is divided by 638.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 12*x**2 + 68*x - 75. Let c be h(1). Which is greater: 908 or c?\nAnswer: 908","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 2*i = -3, -4985*k + 4981*k + i = -6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 29919 (base 16) to base 4\nAnswer: 221210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/1*(0 + 3\/6). Find the first derivative of -4*u**3 - 39 + 15 - t*u**3 + 0*u**3 wrt u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l**(1\/6)\/l)*l*l)\/(l\/((l**(-7)*l*l)\/l)*l) assuming l is positive.\nAnswer: l**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/10, -8, -0.02, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -241*y**3\/6 - 715*y - 4. Let u(f) = 7*f. Calculate u(r(i)).\nAnswer: -1687*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of r**3\/6 - 5*r**2\/2 - 2*r. Let s(x) be the third derivative of -11 + 0*x - 5*x**2 - 1\/6*x**3. What is 3*s(l) - t(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + k**2 + 16*k. Determine n(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 20\/175*7\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 11631, 5 in descending order.\nAnswer: 11631, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*o - 2*o + 565 = 899 - 2126 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.049 in 2\/5, 0.1, -17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-6318)\/(-216) - 29)*292\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 76\/9049 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 8*j - 5. Let l be 15\/6*-4*(-8)\/(-20). Let n(k) = -7*k + 4. Calculate l*s(c) - 5*n(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22 in 0.01, -1, 1\/4, -4561?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 57*f**3 - 2*f**2 + 8. Let r be w(-2). Is r <= -454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 15 - 3. Suppose s + 5*b = 4, b = 5*s - 0 + y. Is 8 a factor of ((-64)\/12)\/(s\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3\/2  (b) 1  (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t - 269*t**4 - 272*t**4 + 540*t**4 - 2*t**2 + 0*t**2 - 1 + 2*t to q*t**2 + o*t**4 + d*t + m*t**3 + h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1388381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4305109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -4500076 at most -4500100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101000122212111 + 10?\nAnswer: 101000122212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-2\/7)))\/n)**(1\/39)*n\/(n\/n**(-3))*n**(3\/8) assuming n is positive.\nAnswer: n**(-1935\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - s**2 + s + 4. Let y(m) = m**3 + m + 4. Let z = -34 + 17. Let a = z + 21. Let o(v) = a*g(v) - 5*y(v). What is o(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i + 667 = -17*i - 5*o, -3*o + 306 = i. Let u = i + -964\/3. Is u at most 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/5061 and 39\/4.\nAnswer: 20244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 f, and 1 i when three letters picked without replacement from {u: 1, t: 1, f: 1, s: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*l - 1414 + 207 - 1953 - 3655.\nAnswer: 5*l - 6815","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3*b + 4*v + 18, -3*b - 6 = 3*v. Solve -3*k - b*y = 4, 0*k = -k - y - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -215431?\nAnswer: 215423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {y: 4, l: 2, h: 5, n: 3, p: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11352213 (base 6) to base 14.\nAnswer: 940db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -z - 105. Let j be 8\/(-16) + z\/(-10). Factor -6\/5*q**5 - 2\/5*q**3 + 0*q**2 + 0*q + 0 - j*q**4.\nAnswer: -2*q**3*(q + 1)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 893650.7um to kilometers.\nAnswer: 0.0008936507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**2 - v - 1. Calculate c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b\/b**(4\/9))\/b))**(10\/7) assuming b is positive.\nAnswer: b**(130\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57)\/3 + (50 - 22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b + 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of 0 - 28*z**2 - 5\/3*z**3 + 7*z. Let v be j(-8). Solve -5*p = h - 4*h + v, 3*p = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75, 910, 3171, 7572, 14827, 25650, 40755?\nAnswer: 60856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2*p + 78 = 0, -y + 1 = 2*p - 17. Solve -4*t = t - y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10828.7966 + 10819.8. Let i = -8.4 + -0.6. Let x = h - i. Round x to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 4*a - 560. Suppose 17*g - a = -3*g. Suppose 984 - 208 = 5*h + 3*m, -5*m = h - 164. Calculate the greatest common divisor of h and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2, 0, 10\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 23*g + 2560. What are the prime factors of h(52)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 680920545.\nAnswer: 3, 5, 313, 145031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = -2*k - 1 - 5, 0 = -2*s - 2*k - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -d**5\/5 + 5*d**4\/12 - 5*d**3\/6 - 5*d**2\/2 + 1919*d. Let c(n) = n**3 - n**2 + n. Calculate 5*c(w) + x(w).\nAnswer: w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1564160136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*u + 63*u = -3894 - 1306 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0 = -3*n + 3, 0 = 2*y - 4*n + 4. Let m be ((-10)\/(-50))\/(2\/10). Let p = y + m. Which is the biggest value?  (a) 0.2  (b) p  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -13246, -3\/164?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 1:23 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, p: 2}. Give prob of sequence ap.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -z - 3, z + 2 = -c + 4*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 b when three letters picked without replacement from {i: 10, b: 2, n: 3, g: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 + -9. What is the highest common factor of 155 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 244495\/4548 + -10\/1137. Let i = -54 + l. Suppose 13 = 2*b + 5. What is the closest to i in -1\/3, b, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 + 11*p**3 - 2*p**2 + 16*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -647911710545919842.99999919 + 647911705201671719. Let x = 5344248148 + c. Let o = 24 - x. What is o rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -0.5  (b) -18  (c) 0.5  (d) -2\/285  (e) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 + 1. Suppose -19*x - 110 = 4. Let w(n) = 43*n**2. Let b(p) = x*d(p) - w(p). Find the first derivative of b(l) wrt l.\nAnswer: -98*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16188, 33190, 50192, 67194?\nAnswer: 84196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3638 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 7f5fec?\nAnswer: 7f5fea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8310, -66623, -224906, -533145, -1041326, -1799435, -2857458?\nAnswer: -4265381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.5, 6, -165.\nAnswer: -165, -0.5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w + 2. Let l(f) = 11*f - 11. Suppose -3*b - 4 = -43. Suppose 0 = -2*h - 81 + b. Let m(j) = h*z(j) - 6*l(j). Differentiate m(i) with respect to i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591798187 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -48, -50, -38, -6, 52, 142?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(-28) - (-1)\/(-4). Let c(p) = 1 + 0*p**2 - p**3 + k + 0*p - p**2 + 2*p. Calculate c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 6\/(-1)) + -1. Let m be (-2)\/(-4) + (-3)\/2. Sort m, v, -3 in decreasing order.\nAnswer: v, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 = 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -8*j + 6*j. What is the units digit of (3\/(-5))\/(j\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35.4 - 21. Let f = 14.7 - k. Let c = -0.3 + -0.7. What is the third smallest value in f, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 251*j + 3408 = 259*j. Find the second derivative of -j + 444 + 78*m**3 + 3*m + 79*m**3 wrt m.\nAnswer: 942*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86661*-0.4.\nAnswer: -34664.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14879 is divided by 2646.\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 106347528 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**3\/3 + 802831*l**2\/3 + 4415515*l\/3 + 2007050\/3 = 0. What is l?\nAnswer: -401410, -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2810561 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -7*397727\nAnswer: -2784089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of 0*o**2 + 3*o + 1\/6*o**3 + 0. Let t(y) = -y**2. What is q(t(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -66, -85, -96, -99?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -49*i**8\/16 - 1043*i**7\/10 + 1379*i**6\/10 + 688*i**5\/5 - 56*i**4 - 88*i**3 - 88*i**2 + 8*i. Let x(j) = 0. What is j?\nAnswer: -22, -2\/7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 9 = 3*n, -8*k + 10*k + 4*n - 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1920510611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(3\/2))**(2\/33)*t**14\/(t\/t**(-1\/25)))**(-4) assuming t is positive.\nAnswer: t**(-42668\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-1) + (8 - 0). Suppose -l*g - 12 = 3, -260 = -5*a - 5*g. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 12*p**2 - 4*p - 161. Let v(l) = -7*l**2 + 2*l + 81. What is 7*v(i) + 4*x(i)?\nAnswer: -i**2 - 2*i - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16516925*h - 16517219*h + 33034141*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 22*h = 448. Is (-49)\/h*-92*10 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 18*p - 52. Let d be s(3). Suppose -g + 290 = d*g - 4*r, -4*g + 366 = 5*r. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4372238987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 109, 197, 285, 373?\n\"Answer: 88*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 79280131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 110862456 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -352*m + 2113. Let w be d(6). Sort -31, -0.066, w.\nAnswer: -31, -0.066, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x\/(x\/(x*x**(-1)))*x**(2\/7))\/((x*(x**(4\/5)*x)\/x)\/x*x**(-6\/7)\/x*x)*(x*(x\/(x*x\/(x*x\/x**(-8)*x)*x)*x)\/x*x*(x\/x**12)\/x)**(1\/7) assuming x is positive.\nAnswer: x**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4569, 9197, 13857, 18549, 23273, 28029, 32817?\n\"Answer: 16*a**2 + 4580*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/((-441)\/(-28))*18\/(-84)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 882 is divided by 95?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -14. Let l be b + -1 + (-5 + 10 - 4). What is the units digit of (1 - -17)*8\/(l - -15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 + 6*w + 5. Calculate z(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 3)*(479323 + 22393*p - 479323)*(-p**3 - 2 + 2 + (p - 3*p + p)*(-2*p**2 - 3*p**2 + 7*p**2)).\nAnswer: -67179*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-28) + (-8789303)\/2835. Let y = k + 3100. Let q = y - 7426\/405. Find the common denominator of q and -29\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3, 8, 8\/5, -5, 42038?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 6, -6*y + 2*y = -3*u + 500. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -30\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k*(((k*(k\/(k**(-2\/35)*k)*k)\/k)\/k)\/k)\/k*k))*k**47)\/(k\/k**(24\/7)*k**(-35)) assuming k is positive.\nAnswer: k**(2957\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 + 6*v**2 + 7*v + 1. Let k be m(7). Let q be (4\/8)\/(k\/6). Let w be 0 - ((-40)\/(-28))\/(-5). Which is the closest to 0?  (a) 5\/3  (b) w  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4*b + 59 = -0*b, -5*k - 2*b + 67 = 0. Let u be ((-6)\/(-4))\/((-6)\/(-64)). Is k < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a factor of 1756755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6074352 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -7969390820517 take away -0.1?\nAnswer: -7969390820516.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j - 588 = -602 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/3 and -43\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by -4779?\nAnswer: -19\/4779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.47 + -5.62\nAnswer: -5.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) + sqrt(190)*3*-4)\/(6*sqrt(360))*-3.\nAnswer: 11*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 3892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -456 + 79. Let n = x + 380. Let f(m) = 7*m + 5. Let h(v) = -2*v - 2. Determine n*f(c) + 8*h(c).\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccccsccccccccccsc?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -914*q**4 - 1227?\nAnswer: -3656*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**5*n)**38 assuming n is positive.\nAnswer: n**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/45 of a hour in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -2*u + 35, -u - 31 = -3*h - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 16 = 3*h. Suppose h = 7*z + 29. Let l = 0.3 - 0.2. Put 2, l, z, -0.1 in ascending order.\nAnswer: z, -0.1, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*s**5 + 4 - 135*s**2 - 16*s**6 + 21*s**6 - 4 wrt s.\nAnswer: 600*s**3 - 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 3 = 2*y, -25*y - 19 + 11 = -2*o - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1218399 and 2457.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q + 17. Let p be r(13). Let 7\/4*b**p - 1\/2*b**3 - 7\/4*b**2 + 0 + 1\/2*b = 0. Calculate b.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (90\/75)\/(27\/240*20\/(-15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u**4 + 7 - u**4 + 5*u**4)*((-2*u + 0 + 0)*(5 - 2 + 0) + 0*u + 8*u + 0*u).\nAnswer: -2*u**5 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 71 + -35. Let v = q - 35.999984. What is v rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 7*k**2 - 5*k - 5. Let w be p(6). Let z(g) = -4*g**2 + 4*g - 5. Let i(h) = h**2 - h + 1. Calculate w*z(q) + 3*i(q).\nAnswer: -q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.35 and 0.408.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from qlqqlq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 8*k**3 + 2*k**2 + 3*k + 3. Let y(h) = -25*h**3 - 5*h**2 - 10*h - 10. Let p = 25 - 58. Let l = p + 43. Let i(b) = l*c(b) + 3*y(b). Factor i(v).\nAnswer: 5*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p + 2. Suppose 5*u + 5*o = -35, -2*u - 4*o - 18 = -3*u. Let a = u - 1. Determine c(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.5 + -2.1. Let t = 3 + -4. Which is the nearest to -0.1?  (a) t  (b) -0.1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 8128 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*i + 4*n + n, -5*i = -2*n - 69. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 11*y**3 - 32*y**2 + 34*y - 3. Suppose -a + 0 = -5. Let p(c) = -10*c**3 + 32*c**2 - 34*c + 4. Let x(f) = a*p(f) + 4*w(f). Factor x(g).\nAnswer: -2*(g - 4)*(g - 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from neyyyynn. Give prob of picking 1 e and 1 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -72, 2370, -806, -0.5 in ascending order.\nAnswer: -806, -72, -0.5, 2370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 9:38 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*t - 910 = 35*t. Let n = t + 145. Solve -5*a + m = -10, 5*a - 5*m - n = -5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -3293*x**4\/24 + 2463*x**3\/2 - 4743*x**2. Differentiate o(h) wrt h.\nAnswer: -3293","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 217*g + 3889. Let v(c) = 435*c + 7784. Let r(s) = -10*m(s) + 4*v(s). Find the first derivative of r(x) wrt x.\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 3*b - 4*b - 11, 0 = -3*w + 5*b - 17. Suppose 0 = g + o - 5 + 3, g + 4*o = 8. Suppose g = 3*a + 3 - 9. Sort 5, a, w.\nAnswer: w, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 - 23*p**2 - 16*p + 140. What is the lowest common multiple of 6 and f(-22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -383\/4 - -96. Let r be (-2)\/(1 - -1) - 1. What is the nearest to -0.3 in r, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 27*v**2 - 27*v + 33. Let q be -35*(5\/(-25) + 1). Let u be g(q). Solve 4*h - u*n + 12 = 0, -2*n + 5 = -2*h - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 661*x**2 - 3*x - 889. Let n(k) = k**2 + k + 2. Let m(y) = -3*n(y) - z(y). Find the first derivative of m(i) wrt i.\nAnswer: -1328*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 697198 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 191\/6783 - -1\/798. Which is smaller: d or 28?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**4 + 2 - 2 + (2 - 2 - 1)*(2*p**4 - 2 + 2) + p**4 + 0*p**4 - 4*p**4)*(-p + 59 - 59).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -300.3 + -143.9. Let u = 444 + q. Which is the third smallest value?  (a) -0.3  (b) -40  (c) u  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of r**6\/60 - r**5\/15 + r**4\/3 + 375*r**2 - 2. Let f be (-2)\/(2\/(-7)) - 3\/1. Let m(k) = k**3 - k**2 + k. Give f*m(c) - l(c).\nAnswer: 2*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 6}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 2)*(2*b**3 - 4*b**3 + 3*b**3) - 3*b**3 + b**3 + 0*b**3 + (-2*b**2 - 2*b**2 + 5*b**2)*(1 - 1 - b) - 5*b**3 + b**3 + 2*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.4  (b) -20  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 295610 and 5047?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - c. Let n(l) = -3*l**3 - l**2 - 2*l + 3. What is -2*h(r) + n(r)?\nAnswer: -r**3 - r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4925734 by 1237.\nAnswer: 3982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 10*j**3 - 25*j**2. Let k(s) = -5*s**3 + 13*s**2. Let n(i) = 5*k(i) + 2*y(i). Find h such that n(h) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-1 + 3 + (-13)\/6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2263074 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -277.2 - -277.18. What is the nearest to q in -0.4, 2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.169797 to three dps.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06094815 times -3?\nAnswer: 0.18284445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -6.86. Let z = x - -1.86. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 23*o**3 - 3244*o**2 + 141*o + 22. Give n(141).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((120\/(-4))\/(-5))\/((-1)\/(-2)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 54 = -2*p, -732*p + 736*p - 75 = 3*r for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1022210 + -12?\nAnswer: 1022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + 1)\/(3\/(-3)). Let f be (-6)\/(-153)*(1 - -2). Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -342.69 - 41365749.\nAnswer: -41366091.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/6 and -1\/10710117.\nAnswer: 21420234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ltlllluulltulu. What is prob of picking 1 t and 3 u?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the third derivative of -47*s**2 + 0 - 79\/6*s**3 + 0*s - 31\/24*s**4. What is the derivative of i(m) wrt m?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 315334.\nAnswer: 2, 157667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 26877.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34704 - -3609243\/104. What is the common denominator of 83\/12 and i?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -k**8\/12600 + k**7\/6300 + 2*k**6\/675 - k**5\/75 - 2*k**3 - k**2 + 58. Let y(v) be the third derivative of z(v). Factor y(t).\nAnswer: -2*t*(t - 2)**2*(t + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*p + 18, -p + w - 7 = -2*p. Suppose 3*m + 4*l + 0*l = 45, 3*l - 30 = -2*m. What is the tens digit of ((-29)\/p)\/((-5)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6627 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(7*(50\/(-595))\/5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (((-3)\/12)\/(33\/(-36)))\/((-1612)\/8866)*38\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 5*h**2 - h - 3. Let n be w(-5). Let t be (n + (-4)\/2)\/2. Solve k + m = -3, -5*m + 1 - 11 = t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6167983?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-6)*n**(3\/5))**(-1)*(n\/(n\/(n*n**1))*n)**(-8\/7)*(n*n**1)**(-1\/15) assuming n is positive.\nAnswer: n**(-1172\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/5)\/(-3)*(60\/(-9))\/20. Put f, -244\/9, -5 in ascending order.\nAnswer: -244\/9, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -76137 divided by -47?\nAnswer: 76137\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(240))\/sqrt(3).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8777175 + 8777175 - 7258*l to r + m*l and give m.\nAnswer: -7258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 712807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -5*p - 15, 4*k + 8*p = 3*p + 10. Let r(h) = k*h + 7*h - 11 + 10*h**2 - 9*h**2. Let b be r(-13). Solve v - 5*g = -19, 12 + 2 = b*v + 3*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28466764*j**2 - 171949658*j.\nAnswer: -56933528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.6219119 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3294509003 to the nearest integer?\nAnswer: 57398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h + 2. Let s(r) = r**2 + 4*r + 1. Let l be s(-5). Suppose -2*g + l*g = 32. Is 6 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16801332?\nAnswer: 2, 3, 827, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1943*w + 178*w**3 - 28 + 1943*w + 32.\nAnswer: 178*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -16 + 17 - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -9*q + 853. Let f be v(83). Is f smaller than 1170\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-204)\/(-1530)*30\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7118 + 7112.227. Let j = k - -0.073. Let c = j - -5.7038. What is c rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 885 and 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.9 - -7.9. Let z = -4 + v. Let o = 4.1 - -1.9. Which is the biggest value?  (a) o  (b) -4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 301079505 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: Let j(o) = -o**3 + 83*o**2 - 1632*o - 10. Give j(51).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -17, -74, -169, -302, -473, -682?\n\"Answer: -19*s**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 198 * -1228.\nAnswer: -243144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7426 + 7423. Which is the nearest to -7?  (a) h  (b) 2  (c) 2\/7  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000013682888 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1001014414 + -1?\nAnswer: -1001014420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 54475979 to the power of 1\/2, to the nearest integer?\nAnswer: 7381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -873, 0.1, -4\/13, -6.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 12*r - 37. What is p(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*z = 907, k - 13*z - 900 = -15*z. What is the greatest common divisor of k and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 264 by 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6985689, -13971371, -20957051, -27942729, -34928405?\n\"Answer: c**2 - 6985685*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n\/(n*n**(-2\/35)))\/n*n)**(-1\/9)*n**(1\/24)*n*n**(-12))**(1\/15) assuming n is positive.\nAnswer: n**(-27911\/37800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 16) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 41?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 5*h**2 + 4*h. Let z be w(-4). Suppose -n + 2*n = z. Let j = -13 - -18. Solve 5*k + j = n, 11 = -2*u - u + 4*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 532 - 523. Suppose j*m = 4*m - 15, 2*f - 279 = 3*m. What is the highest common factor of f and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206571*i**3 - 2*i + 3652397*i**3 + 0*i.\nAnswer: 3445826*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/6*0 + 2. Solve 4*w = v + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -0.4  (c) -0.5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(3 + (-2*sqrt(228))\/sqrt(12) + (3 + sqrt(19))*-4))**2.\nAnswer: 3888*sqrt(19) + 27540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 192059.404 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/231*-12 + 12\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546736957?\nAnswer: 13, 157, 267877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + -2 + (-9)\/3. Let i = 0 + s. Put -4, i, 2 in descending order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 4\/1913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s + s - s)*(4*s - s - 4*s) - 10*s**2 + 137067 + 137060 - 274124 to g + c*s + u*s**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q - 11. Let i be a(8). What is the second smallest value in i, -2\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.459 - -0.059. What is the nearest to -0.3 in -1\/7, 2\/17, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*z - 3*z**3 + 15*z + 2 + 0 + 2*z**3 to c*z + j*z**2 + d*z**3 + u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11125 is divided by 359.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3226, 3220, 3204, 3172, 3118, 3036?\nAnswer: 2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 25938787 divided by 7\nAnswer: 3705541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -724 times -0.4?\nAnswer: 289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108637748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34561714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 33994991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -880 = -2583*k + 2803*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 315195 equal to -837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t + 2. Let k be p(0). Suppose 0 = k*h, 5*x + 3*h - h - 110 = 0. Let i = -1 + 19. What is the least common multiple of i and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 4196.095 tonnes?\nAnswer: 4196095000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -21535173\/2 or -10767588?\nAnswer: -21535173\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v + 86*v - 5*l + 156 = 1324, -2*v - 4*l + 52 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18.30915 * -0.5.\nAnswer: -9.154575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 5:35 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -831, -833, -835, -837, -839?\n\"Answer: -2*h - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7)\/(-2) + (-3)\/(-6). Suppose -p*y + 536743 = 2136743. What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1771227 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -2, -5, 17 in increasing order.\nAnswer: -5, -2, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - 172*p**2 + 2801*p - 750. Calculate w(-187).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, g: 8, x: 1, l: 1, b: 3, w: 1}. What is prob of picking 1 w, 1 j, 1 l, and 1 b?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -291, -716, -751, 156, 2557, 7004, 14049?\nAnswer: 24244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*(-1)\/210*20\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**3 - 3*j + 2. Let a(l) = -3*l**3 + 5*l - 3. Let d be (2\/(-7))\/(2\/(-28)). Let n be -1*(3*-5 - d). Let o = 22 - n. Give o*a(k) + 5*b(k).\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 1704*a + 22146. What is s(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 30*1*(-4)\/(-12). Is 8 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20674777 is divided by 10337386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -3*t**3 - 4*t**2 + t + 7. Determine s(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7938\/(-378) - (-1045)\/50?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 57 - -5?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 39341981 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7\/10  (b) -24  (c) 11  (d) -3  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 11:53 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 + 29116*w + 261720.\nAnswer: 4*(w + 9)*(w + 7270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + 11bc7963?\nAnswer: 11bc7962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 15596, 5, -118, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k + 1. Let m be z(-2). Let i = 6 + m. Let y = 6 - i. Which is smaller: 4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -3226*h + 2522. Let f(g) = 9678*g - 7506. Let u(d) = 6*f(d) + 17*i(d). What is the first derivative of u(c) wrt c?\nAnswer: 3226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320.64287 rounded to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -11*j**2 + 26*j - 12. Let d(u) = -10*u**2 + 27*u - 12. Let z(t) = 2*c(t) - 3*d(t). What is the remainder when z(-4) is divided by 124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 2, -2, -3, 7353, 12, 1 in descending order.\nAnswer: 7353, 12, 2, 1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2*y = 44, 5*k + 68 = -y - y. Let g = 16 + k. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3554964 divided by -4\nAnswer: -888741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -3*p - 3. Let d be q(-2). Suppose -4*x + i + 45 - 13 = 0, i - 24 = -d*x. Solve 2*u - 3*t - x = -0*t, -u - 3*t - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, 172 in descending order.\nAnswer: 172, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60501*s + 60507*s - 121021*s - 2.\nAnswer: -13*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 12. Let l = -9 - -9. What is the tens digit of v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*r**2 - 8*r - 6*r + 17*r + 1 to the form w*r + u*r**2 + v and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183572.\nAnswer: 2, 45893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4936 (base 13) to base 7.\nAnswer: 42121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13401 (base 6) to base 7\nAnswer: -6043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v - 7. Let f be g(-5). Let m be ((2 - f)*0)\/1. Suppose 20 = -m*x + 5*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(312)*6)\/sqrt(6))\/(sqrt(144)*-4*2).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 4:50 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35933314, 35933312, 35933310, 35933308, 35933306, 35933304?\nAnswer: 35933302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/4, -1389, 0.2, 4, -35?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 230 (base 15) to base 5.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -745 (base 16) to base 13\nAnswer: -b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7168?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6\/7, -3\/16714, 0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -64.6.\nAnswer: 25.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 4 = -f. Suppose f = b - 13. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/192*-8*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*w - 164*w**3 - 4*w**2 + 67*w**3 + w**4 + 96*w**3 in the form v*w**3 + c*w + i + n*w**4 + l*w**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 416929*d**2 + 833175*d**2 - 416754*d**2 + 2*d in the form u + q*d + f*d**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w = 3*w. Suppose 39 = 3*m + 30. Let r be 0 - (m - (-12)\/(-2)). Sort -2, -1, w, r in decreasing order.\nAnswer: r, w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -9*l**3 - 10*l**2 + 43*l - 146. Is i(-14) a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/7 of a week in minutes?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9424643 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5 + 21 = 0. Suppose 28*k - 72 = 68. Solve o - k = -1, -2*o + a = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27589 + 27593. Solve 31*v - 19*v - q + 24 = 0, n*q = v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2540, 0.3, -310, 4, 3 in decreasing order.\nAnswer: 4, 3, 0.3, -3\/2540, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 2, z: 2, b: 2, i: 1, s: 2, y: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/6, 18\/13, -0.1, -1\/4, 4, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/33287 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8098 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24\/889 - 1658\/4445. Which is smaller: -295\/56 or d?\nAnswer: -295\/56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28634195 by -28634195.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/7))**27\/((k**(-1\/5)\/k)\/(k**(-2\/13)*k)) assuming k is positive.\nAnswer: k**(4441\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0*l + 3*x + 14 = 0, -4*x = 5*l - 2. Suppose 5 = l*k - 13. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 7.2. Let x = 0.4 - -3.6. Let s = t + x. Is s less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3377703 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*o**2 - 266 + 266.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 402.31475*-0.01.\nAnswer: -4.0231475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g + 9. Let i = -36 + 38. Let y = i - -77. Let b = y + -90. Determine n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 464 = -12*g, 173*g - 178*g + r - 41 + 113 + 120 = 0 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -195386, -390890, -586394, -781898, -977402?\nAnswer: -1172906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -728*t. Let l(w) = -w - 80. Calculate c(l(r)).\nAnswer: 728*r + 58240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 7:00 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 equal to 3733390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 905 - -471. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9009*v**2 + 9014*v**2 + 10 - 28.\nAnswer: 5*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5271\/23894 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21.961 - -0.039. Let c = t + -16.95. Let b = 0.05 - c. What is the biggest value in 1, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 h, and 1 g when three letters picked without replacement from bhbbbhhghxbbxbbb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 284 and 5.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h + 3*h + 3*h + 5*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + -5 + 2 + 3. Let n = -3 - -4. Is n at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104851511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*d**3 - 82233*d**2 + 310171*d wrt d.\nAnswer: 24*d - 164466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k - f + 8 = -16*k + 4*f - 9*f, -2*k + 8 = 106*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.61366 to 1 decimal place.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 336 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -2*d, -16*d + 32*d - 12 + 0 = 6*n + 15*d + 19 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - c + 48 = 0. Suppose 0 = j + j - c. Let t = -75 + 98. Calculate the remainder when t is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162875097 to the power of 1\/2, to the nearest integer?\nAnswer: 12762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -3389 bigger than -3388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12 + 11 + 16)*(6*h**2 - 3*h**2 - 2*h**2) + 53*h + 7*h**2 - 53*h + h**2 + 3 - 3 + (-2 + 2 + 2*h)*(3 - 3 - h) to the form t*h + k + i*h**2 and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/7  (b) 5  (c) -20  (d) 156889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + k - 60*k**3 - 61*k**3 + 118*k**3 - 3*k**2 + 0 in the form f*k**2 + m*k + u + y*k**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2\/7))**(10\/13)*(t**0*t)**(4\/9)*(t**5*t*t**(-2\/3)*t)\/((t**(-4)\/t)\/(t*t**(-4\/5)*t)) assuming t is positive.\nAnswer: t**(55394\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 65 in -0.4, 1\/5, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t. Let s be n(2). Suppose 0 = 3*c - 4*c - 4. Let f = s + c. Solve f*o - 2*o - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8794*w**3 - 8779*w**3 + 17553*w**3.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(2\/25)\/i*i*i*i*i\/(i**(-1\/4)\/i))\/(i**(-1)*i)**(-1\/4))**(4\/31) assuming i is positive.\nAnswer: i**(533\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4598 - 4925.14. Let q = s + 327. Put -4, 0.1, q, 12 in ascending order.\nAnswer: -4, q, 0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p - 9*p**2 - 2*p + 8*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 14033613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2635578 by -1317789.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 32 * -75726.88\nAnswer: -2423260.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/10*8\/32. Which is the third biggest value?  (a) -5  (b) 1\/11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(8\/5)*(g**8*g)\/g)\/(g**(2\/7)\/(g\/g**(-3\/2))) assuming g is positive.\nAnswer: g**(827\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + 2. Let f(r) = r**3 - 7*r**2 - 9*r + 11. Let q be f(w). Let x(b) = -5*b - 8*b + q*b + 2*b. Let l(g) = 2*g**2. Determine x(l(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -1269*b**3 - 12*b**2 - 6*b + 6. Let f(h) = 125630*h**3 + 1190*h**2 + 595*h - 595. What is 12*f(j) + 1190*g(j)?\nAnswer: -2550*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133715064?\nAnswer: 2, 3, 7, 17, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 188308 (base 9) to base 7\nAnswer: 666626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4519844\/14 + 60\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 3) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 270488 is divided by 7303.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.015 times -6\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12647262 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 PM and 11:02 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1322)\/(-9254))\/(-1 + 1536\/1533)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177708146?\nAnswer: 2, 7, 11, 83, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 + 23*p - 27. Let i be k(19). List the prime factors of 4\/(-14) + 20888\/i.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 338  (c) -851  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 56\/140*(-10)\/24*-1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*v**3 - 173*v**2?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 + 8*n - 5. Let q be j(7). Suppose 0 = q*v + 2*v. Suppose -t - 2*i = -14, 5*t - 51 + 1 = -5*i. Solve v*l = -3*l + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 + 1. Let d(k) = -5*k**2 + 7. Suppose -3*u - 12 = -2*r, 4*u + 6 = r - 0*r. Determine r*a(j) - d(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, -4\/117, 6, -55?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002708 rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.202 or 0.293?\nAnswer: 0.293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 911, 5991, 19791, 46673, 90999, 157131, 249431, 372261?\n\"Answer: 727*t**3 - 2*t**2 - 3*t + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0997 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*y = 0. What is the biggest value in -4\/11, -0.4, -1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.11 + 0.34. Let w = x - 0.5. Let y = w - 0.25. Which is the second smallest value?  (a) 0.1  (b) y  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)*-3*-2 + 3 + (sqrt(117) - (sqrt(117) - -2*-3*sqrt(117))) + sqrt(117) + sqrt(117) + -1)**2.\nAnswer: 168*sqrt(13) + 22936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/5))**40*f**(-1\/3)\/f**(1\/4))\/(f\/(f\/(f\/(f*f*f**1)))*f**(-2\/3))**(-3\/16) assuming f is positive.\nAnswer: f**(179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 322 a factor of 722568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -44*p + 93. Let r be f(2). Suppose r*l = 3*h - 1003, 400 = h - l + 65. Is h a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -2 + (-1 - (-19 + 0)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 169.112 + -170. Let k = 0.42 + i. Round k to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2259234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 2*h**5\/5 + 45*h**4\/4 - 96*h + 31. What is the derivative of b(m) wrt m?\nAnswer: 8*m**3 + 135*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 85970.7 in -2\/9, 1\/19, -5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -12, -5, 2, 9?\n\"Answer: 7*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 3*b**3 + 18*b**2 - 18*b + 1. Let f be s(1). Solve -19 = 2*d + f*z - 5, -2*z - 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 36*o**2. Let s(k) be the first derivative of 3*k**2\/2 + 61. What is j(s(f))?\nAnswer: 324*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 5*v = 0. Suppose v*a - 8 = -4*a. What is the third derivative of -2*g**2 + g**6 + g**a + 2*g**6 + 0*g**6 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0  (b) -1  (c) 2.44  (d) 3  (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -37 + 37. Suppose 3*d + 4*w - 64 = g, -5*d + 3*w = -d - 52. Is d at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 613565012147\/3560 - 172349720. Let x = f - 306\/89. Calculate the common denominator of -2 + (-9)\/(-5) - 9891\/420 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 9:34 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 25 and 0.01209.\nAnswer: 25.01209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -116 - 0?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/12 and 22\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23982500*y + 6806717 with respect to y.\nAnswer: -23982500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -29*q + 349. Let x be b(12). Do -3\/488 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88840 is divided by 29609?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -2\/5, -3, -2, -0.31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -2\/409937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {l: 3, q: 3, x: 6, i: 1, v: 1, m: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u + 3. Let w be d(-7). Let s be -1*3 + (w - -52). Let y be s\/25*10\/6. Solve 0*f + 6 = -4*f + y*z, 3*z = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41455 (base 16) to base 3\nAnswer: -111120201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1040293*i**3*o*s**3 - 348*i**2*o*s**2 - 3*i**2*o + 38*i*s**3 wrt i?\nAnswer: -6241758*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/11886 and -19\/51.\nAnswer: 202062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77670118.\nAnswer: 2, 38835059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 17230953 to the power of 1\/2, to the nearest integer?\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1252 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -9*m + 612. Determine x(65).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -133333 (base 8) to base 4.\nAnswer: -23123123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 20 - 5*l - 20 + (4*l + 4 - 4)*(-2 + 0 + 1) - 4*l + 0*l + 0*l as h + v*l and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-63)\/(-252))\/((-820)\/272 + 3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -340200 (base 5) in base 12?\nAnswer: -6a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**5*(l\/(l*l*l**(1\/7)*l*l*l*l))\/l)\/((l**1*l)\/(l**(1\/7)\/l))*(l**(-1\/5)\/l*l)\/(l**(-4)*l)*l**42 assuming l is positive.\nAnswer: l**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 11*l**2 - 7*l - 2. Is w(-11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-14) - (-3)\/(49\/(-7)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 1 - (-1 - (4 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -392632 (base 11) to base 9\nAnswer: -1142180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8850839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 134*x**3 - 3*x**2 - 2*x + 5. What is the thousands digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*0.043603.\nAnswer: 0.0130809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mrmm when four letters picked without replacement from dddrmmmlmdmjmrdj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*g - 21*g + 143. What is the remainder when 40 - 4\/(2 - 0) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -441 * -1\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*i*s**3 - a**2*i - 26488*a**2*l - a*i*s + 667*a*l*s**3 - i*l*s**3 - 16*i*s**3 + s**3 wrt a.\nAnswer: 4*i*s**3 - 2*i - 52976*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 26. Suppose i = -4*j + 191 + 17. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 679052 and 13189?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21540, 21537, 21532, 21525, 21516, 21505, 21492?\nAnswer: 21477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ciicdccicffclddidc. Give prob of picking 1 l, 1 i, 1 d, and 1 f.\nAnswer: 8\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 114\/24 - 1\/(-4). Let d = 8 - w. Is (-74)\/(-4)*(d - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/5 + (-114)\/670. Let k = d + -123\/1876. Let p = -1185 - -1184. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 + 196\/35)*(-1 - (-56)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 7. Suppose 289330 = -5*n + 5*a, -5*n = t*a + 208618 + 80680. Let w = -82862 - n. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 1, -1, -3.\nAnswer: -3, -1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 21\/(-14)*(-72)\/1. Suppose -j = -5*h + 2*h. Let o be 16\/9 - (-8)\/h. Solve 2*s + 5*d + 16 = 51, 10 = o*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 + 79\/(-13) + 8.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**2 + 19772*r + 18142376.\nAnswer: -4*(r - 5734)*(r + 791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum 75 and -3525.\nAnswer: -3450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -c + 2*c. Suppose -c*t = -0*t - 10. Let g = 2 + t. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -24*b**5 + 5332*b**4 + 538676*b**3 + 11998228*b**2 + 20651748*b + 9186840 = 0?\nAnswer: -39, -1, -5\/6, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/3360367 and -107\/6?\nAnswer: 20162202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 - -29. Let v be 95\/50 + 6\/(-15). What is the nearest to 2 in w, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 360 divide 675360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.529 less than -211853397.5?\nAnswer: -211853395.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 8 + 16. Let q(c) = c**2 + 5*c - 1. Let v(u) = -u - 4. Let t be v(-6). Let b(r) = 9*r - 3*r**2 + 2*r + 5*r**2 - t. Give l*b(f) - 13*q(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6*h**3 - 64*h**2 - 15*h + 124. Calculate the remainder when 1620 is divided by f(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3423 divided by 6.\nAnswer: 1141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*w = -3*w + 56. Let a(f) = -f**2 - 4*f - 3. Let y be a(-2). Suppose 2*c - 78 = -72. Put y, 2, w, c in increasing order.\nAnswer: w, y, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of o**5\/120 - 11*o**4\/24 + 2*o**3\/3 - 1. Let v(s) be the third derivative of k(s). Let y be v(12). Solve -2*i - y = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -82 - -79. Which is the closest to -2\/3?  (a) -0.1  (b) -0.9  (c) -3\/4  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -m**5\/60 - m**4\/3 + m**3\/2 + m**2 - 46. Determine k(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 10 = 0, 0 = 2*q - 9*k + 13*k - 24. Suppose -3*x = 5*b - 26, x - 5*x + 4*b - q = 0. Let w = 2 - 1.7. Sort 0, x, w, 2\/13.\nAnswer: 0, 2\/13, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s*w**4 - 15*s*w**3 + 2*s*w**2 + 861*s*w + 9*w**4 + 6*w**3 - 2*w**2 wrt w?\nAnswer: 24*s*w - 90*s + 216*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -x**7\/70 + x**6\/20 + x**5\/20 - x**4\/4 + 3*x**2 - 4*x. Let a(i) be the first derivative of p(i). Let a(t) = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.29 + -0.01. Let t = 13.28 + -8.28. Let r = 0.02 + 2.98. What is the closest to h in -2, r, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -450734*l*p**3 + 2*l*p**2 - 4*l - 738433*p**3 wrt l?\nAnswer: -450734*p**3 + 2*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 - 60 + 4*j + 45*j - 9*j.\nAnswer: -5*(j - 6)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37456466.\nAnswer: 2, 23, 179, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 51610 (base 11) in base 9?\nAnswer: 124226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 138560 and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (2800\/(-15))\/(-28) + -2*2 + -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of (-756)\/(-16) - (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f. Let l(k) be the first derivative of -k**2\/2 + 6*k + 4. Let i be l(5). Let x(w) = -2 + 1 - w - w. Calculate i*x(s) - 4*h(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/117 and -25\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -194*f + 2789 + 1257 = -1736 - 3142 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + 4*h**2 - 7*h + 4. Determine t(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 - -21. Let s(r) = -r**3 + 2*r**2 + 5*r + 14. Let y(k) = k**3 + 5*k**2 + 3*k. Let g be y(-4). What is the remainder when c is divided by s(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 + 7*j**2 - 27*j - 7. Let h be o(-11). Let w be (1\/7)\/((-1)\/(-1361)). Let m = h + w. What is the third biggest value in -0.5, 2, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26375 take away 167?\nAnswer: -26542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -3  (b) -12  (c) 1\/5833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 AM and 11:19 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {u: 1, x: 2, z: 2, t: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -3*a - 3, -6*c - a = -c + 1. Let z = -447\/1105 + 1\/221. Let m = 2\/53 - 61\/212. Put c, z, m in descending order.\nAnswer: c, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.59056 times -66?\nAnswer: 38.97696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.7 - 6.7. Sort 2\/3, -1\/2, q in decreasing order.\nAnswer: 2\/3, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3579 is divided by 128.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 20284*b - 109. Is q(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/38)\/((-231)\/(-352)*(-248)\/(-217))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 204?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - v**2 + 0*v)*(0 - 1 + 2) - 4*v + 1 + 29*v**2 - 6*v + 11*v.\nAnswer: 28*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence omo when three letters picked without replacement from mmoooojmomojjojj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**24\/b**(1\/10))\/(b**(2\/25)*b*b)**(48\/11) assuming b is positive.\nAnswer: b**(8153\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5000) + -1 + sqrt(5000) + 3 - sqrt(5000)) + sqrt(5000) + (sqrt(200) + sqrt(200) + -4*sqrt(200)*-1 + sqrt(200))\/sqrt(4))**2.\nAnswer: 540*sqrt(2) + 36454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3 - 9 = 0. Let w(a) = -2*a - 4. Let t(d) = -d - 2. Let k(l) = 15*t(l) - 6*w(l). Let x be k(r). Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5347, -11058, -16767, -22474, -28179, -33882, -39583?\n\"Answer: v**2 - 5714*v + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 40 = -3*c, h + 3*h - 2*c = 36. Let t = h - -1. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 219587058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/399?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2230420 + 1021?\nAnswer: -2224344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4320 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*((-42)\/24)\/(65\/20*1).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 divided by -259?\nAnswer: -79\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c**1\/c))\/c**(3\/4))\/(c*c**0\/c*c)**(-5))**(-42) assuming c is positive.\nAnswer: c**(-441\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 5) + -4 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 66 = -3*j. Let g = j + 15. Let p = g + 10. Calculate the highest common factor of p and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i + 52*i = 8 - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of -46*j**2 + 5211. Let d(f) be the second derivative of f**4\/6 - f. Calculate y(d(a)).\nAnswer: -184*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - 4. Let q = f + 10. Suppose q*o - 4*o - o**2 + o**4 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38005038 to the nearest integer?\nAnswer: 6165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/1352736 and -125\/1232.\nAnswer: 1352736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 113925 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 + -22 + -9 + (-1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.001 + 5.001. Let n = 0.3 + -0.6. What is the third biggest value in n, m, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddvddvnvdnzvmndd. Give prob of picking 4 d.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10292.83727 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -0*o - 6*o. Solve -g + 14 = -4*s + g, -2*s + o*g - 5 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5558, 15417, 25276, 35135, 44994, 54853?\n\"Answer: 9859*x - 4301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2492*q - 218220 = -6129*q for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 7*u + 11. Let y be o(-8). Suppose -y*s = 95 - 455. What is the smallest common multiple of s and 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-452*x + 135*x + 2567 - 2578)*(0*x - 2*x**2 + 0*x).\nAnswer: 634*x**3 + 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24.65 + -0.25. Let l = j + -25.4. Which is the third biggest value?  (a) -4\/7  (b) 4  (c) l  (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -950?  (a) -0.3  (b) 5  (c) -1842  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ace6d (base 15) to base 13\nAnswer: 16345c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1912 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 324737 divided by 7.\nAnswer: 46391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w - 19. Let s be d(4). Let b(a) = 3*a**2 + 10*a - 3. List the prime factors of b(s).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (5 + -5 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 13 - 10. Let d be (-1)\/r*(-11 - -11). Suppose d*k - k + 20 = 0. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26.51 - -22.51. Which is the nearest to -1?  (a) 11  (b) 1\/5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -7*t + 20. Solve 3*l = l + t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a8 (base 13) to base 11.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/15)\/((-120)\/100)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(((30\/(-4))\/(-5))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -12*d + 5. Let b be (-206)\/3399 + (-4)\/(-66). Give h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -4*p + 10294 + 28697, -p + 2*i = -9739. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-648)*63*(-1140)\/210?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*q + s - 10, -2*q - 27 = -6*q + 3*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 10. Let f = 4.82 - 8.52. Let u = y + f. Which is the third smallest value?  (a) -0.1  (b) 5  (c) -0.5  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26 - -28. Let o(a) = -2 + a**3 - 1 - 4*a + 1 - 5*a**i. What is o(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3 = -4*n. Suppose -4*v = -t - 6, -v - t + 5*t + 9 = 0. Let d = v + n. Is d not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 7*h**2 + 17*h - 11. Calculate z(7).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 8*m - 18. Calculate the lowest common multiple of (-8)\/(-72) + 4186\/234 and p(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65*r - 15*r**2 + 65*r)*(1 + 0 + 1)*(r**2 - 5*r**2 - r**2).\nAnswer: 150*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11417035 at least 11417034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10136 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(5\/2)*t*t*t*t**(-37)\/t*(t**(-4\/21)\/t)\/((t*t**(-26)*t*t)\/t) assuming t is positive.\nAnswer: t**(-407\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 - 4*f + 11. Let q(b) = 3*b**2 + 8*b - 23. Let i(n) = -5*j(n) - 2*q(n). Let v be i(0). What are the prime factors of -3*(132\/v - -2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 154 and (-1204)\/(-6) - 120\/45.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121 (base 6) to base 7.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -568 - -568.4. Sort -0.1, 4, 3, p in descending order.\nAnswer: 4, 3, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.14151 + 0.14151. Which is the fifth biggest value?  (a) -3\/2  (b) y  (c) 0  (d) 17  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/7)\/((-4)\/70). Let s be 4\/(-5)*q\/(-12). Suppose 2 = s*f - 40. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -965, -1942, -2925, -3914, -4909, -5910, -6917?\nAnswer: -7930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (-6 - -13 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -441 - -655. Suppose 4*l = 94 + a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -3.1. Let m = 18 - 13. Which is the nearest to k?  (a) m  (b) 0.3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-1224)*17)\/(49\/(-126))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2389 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 3:46 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*g + 2. Let u be -4*(-1 + 4\/g). Which is the biggest value?  (a) 4\/3  (b) u  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61903 - 5*o**3 + 61903.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 678567802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**4\/7 - 84500*p**3\/7 + 84502*p**2\/7.\nAnswer: -2*p**2*(p - 1)*(p + 42251)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 3*f - 2, 4*m + 8 = 4*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + -3. Let g = -4 - i. Suppose g*c = c + 60. Calculate the greatest common factor of c and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-81)*-9)\/(((-80)\/(-15))\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-1\/2))\/d*(d\/(d\/((d\/(d\/(d\/(d\/d**19)*d)))\/d*d))*d)\/d*d*d)\/((d*d**(4\/23))\/(d*((d\/(d*d*d**(5\/4)*d*d*d*d*d))\/d)\/d)) assuming d is positive.\nAnswer: d**(1203\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*w - 9*w - w**2 + 72035 - 72128.\nAnswer: -w**2 + 26*w - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 6*v - 1. Let a be s(-6). What is the nearest to -2 in -0.5, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*w + 4*w. Let r(b) = -b. Let d be r(-6). Let v = w + d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of 0 + 29\/6*o**3 + 0*o + 7*o**2 + 1\/24*o**4. List the prime factors of x(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1271 - -1549. What are the prime factors of j?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3*o**2*z**2 - b**3*o**2*z + 2*b**3*o**2 - 5*b**2*z + 4*b*o**2 + 11625*o**2*z**2 - 1684*o**2 wrt z?\nAnswer: 4*b**3*o**2 + 23250*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 73335533\/216 - 339517. What is the common denominator of v and -29\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 + d + 3. Let r be p(-4). Let m be (4 - 0) + -1 + -1. Suppose 0 = -m*w + 5*w - r. Solve 10 = w*f, 3*k - k - 2 = -f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 75 - 381. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k - 19*k + 72 = 0. What is the remainder when 33 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3.042 and 1.2451 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -50\/7*x**2 - 136\/7*x**3 - 4\/7*x + 0.\nAnswer: -2*x*(4*x + 1)*(17*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 1319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (-5 - -4) + -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 974257 + 3440547 = 188*g. List the prime factors of g.\nAnswer: 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 870 - -7224859007.\nAnswer: 7224859877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*r - 47*r - 432 = 0. Suppose -9 = -2*a - 1. Suppose 0 = 3*s + r - a. Sort s, 2, 5.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-580)\/(-18))\/(16620\/29916).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 12504214, 25008409, 37512604?\n\"Answer: 12504195*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f - 6. Let i(d) be the first derivative of -5*d**2\/2 - 17*d - 343. What is -4*i(p) + 11*j(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -5*u**3 - u**2 - u - 1. Let s be i(-1). Let x be 81\/(-3)*s\/6. Let m = -6 - x. Calculate the remainder when 23 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5*h = p + 85, -2*h - 32 = -p. What is the remainder when 108 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3186, 3185, 3182, 3177, 3170, 3161?\n\"Answer: -g**2 + 2*g + 3185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -249 * -17\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 6, v: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2475.396 years to decades.\nAnswer: 247.5396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 - 21 + 82*f**4)*(3*f + 5*f - f).\nAnswer: 574*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-268*l**4 + 209*l**4 + 188*l**4)*(3*l + 3 + l - 2*l)*(-1 + 0 - 1).\nAnswer: -516*l**5 - 774*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2453, -6, 5.5, -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 + 144?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 2281*a - 34428. What is r(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-93878)\/(-1) - 9\/(-13 - -10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.6 + 6.2. What is the closest to -0.2 in 0.5, x, -18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 12544980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 5*p - 3*m = 17, -4*p + 19 = -m. List the prime factors of 22276\/20 - (0 - 1\/p).\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 d when four letters picked without replacement from {d: 11, y: 6, p: 1}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.73?  (a) -0.05  (b) 5  (c) -4\/5  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wqwzudrrq. What is prob of sequence urrq?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, 0.2, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*u**3 + 865*u**2 + 3*u + 42327 wrt u?\nAnswer: -6*u**2 + 1730*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -5*-2*(5 + -6*(sqrt(176) + -1) + sqrt(176) + sqrt(176) + -5 + 1*sqrt(176)))**2.\nAnswer: -14400*sqrt(11) + 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 15  (b) -1\/3  (c) -20689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*o**2 + 41*o**2 + 36*o**2.\nAnswer: 95*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29126 - -29130. Sort r, 3, 2, -1, -5.\nAnswer: -5, -1, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 12:27 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4)*4)\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -446?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 5:57 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13337779 is divided by 701987.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -61 - -61. Solve -v - 3*l = -w*l - 2, 2*v - 12 = 2*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/2)*r)**(-2\/97)\/((r**(2\/3)\/r)\/(r*r\/(r*r**(-5))*r))*(r**0)**13\/(r**3*r**(-6)\/r) assuming r is positive.\nAnswer: r**(3289\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h + 13*h + v = -17674, 3*h + 5*v - 10610 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 18698\nAnswer: 2\/9349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -243480520 divided by -62495.\nAnswer: 3896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 59500 divided by 5?\nAnswer: 11900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*g**4 + 2*g**4 + 4*g**4 + (-7*g - 7*g + 3*g)*(-g**3 - 4*g**3 + 3*g**3) to q + s*g**2 + l*g**4 + t*g + y*g**3 and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 3*r - 81, -89*h = -93*h - r - 5*r + 72 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1574 (base 12) to base 9\nAnswer: -3427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/15)*c*c*c\/(c*c**(-3\/40)*c)*c**(-4)*c*(c\/(c\/(c**(3\/5)\/c)*c*c))\/c assuming c is positive.\nAnswer: c**(-623\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19019 is divided by 3332?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 532870977.\nAnswer: 3, 269, 317, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 367381.2 and -0.45.\nAnswer: -165321.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -193, -191, -189?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -1 - 8*z**2 + z - 1 + 3. Let x be (2\/6)\/(3\/9). Let a be ((-3)\/6 + x)*-2. Determine d(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124639416 divided by -86196?\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -121, -204, -309, -442?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1423, 1499, 1575?\n\"Answer: 76*u + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 500494588 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (188\/(-80) - 975\/780) + 346\/10\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1733, 2\/5, -2, 39 in descending order.\nAnswer: 39, 2\/5, -2, -1733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 64*p - 30*p**3 - 2*p**4 - 66*p - 16 + 3*p**4 as y*p + l*p**4 + a + c*p**3 + u*p**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -220946255, -220946258, -220946261, -220946264, -220946267, -220946270?\n\"Answer: -3*i - 220946252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 - 2*j**3 - 6*j**3 + j**3.\nAnswer: -7*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3*l - 160 = 0, -3*w + 140 = 2*w + l. Solve 5*i + 3*v + 5 = 0, -i + 5*v = i - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 580338 is divided by 193175?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10310 - -13?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9.8 + 9. Let a = -10 + 12.2. Let x = a - r. What is the nearest to 2\/3 in 2\/19, x, -1\/6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 3:56 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*p**2*v*x**2 - 37*p**2*v*x + 3*p*v*x**2 - 56*p*v*x - p*x + 2*p - 3*v*x wrt p?\nAnswer: 22*v*x**2 - 74*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17.9627 - 0.9627. Put 2\/169, q, 3 in increasing order.\nAnswer: 2\/169, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -o**3 - 1. Let h(g) be the third derivative of -g**4\/24 + 11*g**2. What is h(v(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002330502 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3626 + 3630. Let o(m) be the first derivative of 5\/3*m**3 + 0*m**k + 0*m**5 + 0*m**2 - 1\/3*m**6 + 0*m - 3. Find the third derivative of o(r) wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m\/(m**(4\/7)*m*m)))\/m**9)\/(m*((m\/m**(-5))\/m)\/m*m**(-1\/2)))**(-2\/81) assuming m is positive.\nAnswer: m**(17\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - 8. Let t(l) = l**3 - 9*l**2 + 10*l - 10. Let i be t(w). What is the tens digit of (-128)\/(-6) + 4\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238 = -5*m + 4*l, -2*l + 194 = -5*m + m. Let q = m + 85. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9784?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(270)\/((sqrt(9) - (sqrt(81) - sqrt(9)) - sqrt(9)) + sqrt(9)))\/(-1*((1*sqrt(160)*5 + sqrt(160) - sqrt(160)) + sqrt(160))).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -60, -76, -82?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of 0*v**6 + 2 + 0*v**5 - 31\/6*v**4 - 1\/3*v**7 - 5*v + 0*v**3 + 0*v**2. Find the third derivative of y(j) wrt j.\nAnswer: -840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -56 divided by 12?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 12456766 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*-4*2\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - 0 - ((-98 - -43) + 168 + -64)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*v**2 + 20*v**2 + 8*v**2 - v + 30*v**2 to the form r + h*v + g*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - (-2 - -1)) + 5. Suppose n + 12 = 4*n. Differentiate -4 + 6*c**b - 3*c**n + 0 with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12186, -24477, -36780, -49101, -61446?\n\"Answer: -v**3 - 12284*v + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 47983045465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -5*d**3 - d**2 - 2*d - 1. Let n be q(-1). Suppose 0 = -n*x + 454 - 189. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -161*x + 1474. Give m(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4771\/(-780) + (-28)\/(-4) + (-228)\/285.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -310 = -43*o - 95 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -8*k + 29. Determine d(-9).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2671 and 405460471?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.95 - 4. Let q = i - 0.95. Let j = -1.2 - q. What is the second biggest value in 4, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from tttutsuuuttussuttstt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -191719 and 5.27112.\nAnswer: -191713.72888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*a**2 - 38136773*a - 205052926 wrt a?\nAnswer: 4*a - 38136773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -826*v = -812*v - 185626. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58283396 a multiple of 878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59 + -63. Let v be 2\/u - (4 + (-57)\/15). Is 0 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(1900) + 3 - sqrt(1900) - sqrt(1900) - sqrt(1900).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 - -3)*(-3)\/18. Let i = -45 + 93\/2. Let v = i + h. Which is the second smallest value?  (a) v  (b) -0.3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 + 21*w + 38. What is v(-10)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(1 + (0 - 3)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 - 3393?\nAnswer: -338a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 9:47 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 4*v**2 - 3*v - 11. Let s be n(4). Let w = 22 + s. Does 11 divide (-70)\/(-14) + w + 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -398*s**2 + 23*s**4 - 92*s**4 + 48*s**4 + 8*s**3 wrt s?\nAnswer: -504*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 5*p**2 - 17070*p + 724765 = 0.\nAnswer: 43, 3371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 488 + -256. Solve 190*o**4 - 21*o**3 - w*o**3 - 45*o**5 - 12*o**3 + 140*o**2 - 20*o = 0 for o.\nAnswer: 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 - 3*w + 3. Let p(u) = 2*u - 3. Let t be p(0). Let m be q(t). Suppose 0*i + 168 = 5*y - i, m*i = 5*y - 164. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*f = 20*f + 20. Suppose f*r - 166 = 64. What is the second derivative of -7*d + r*d**5 - d - 31*d**5 wrt d?\nAnswer: 300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -443?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r*r\/(r**(-1)*r))\/r))**(2\/61)\/(r**3\/(r*r*r**1)))**(12\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3 = -1, 3*a + 2*k - 20 = 0. Let q = a - 6. Suppose -180 = -7*t + q*t. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6*(-10)\/105)\/(4\/(-28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000012052 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -18*c**3 - 2*c**2 + 1. Let n be -5 + 8 + -2 + 2. Let h be (n - (-1 + 3))\/(-1). What is the tens digit of p(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 150, 262, 438, 714, 1126, 1710, 2502?\nAnswer: 3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 361 at least -188486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 114839931*z. Let t(x) = 2*x**2. What is t(d(q))?\nAnswer: 26376419504169522*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*s**2 + 1 - 26*s**2 - 4*s + 3*s**4 - 2675*s**3 + 2678*s**3 to the form i*s**2 + d*s**3 + f*s + m*s**4 + w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 15 - 23*a + 22*a - 1. Let g be p(9). Solve -g*f - 15 = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -64, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.0322*2.5975\nAnswer: -0.0836395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t + 1. Let r be n(3). Suppose -2*p + r - 3 = 0. Find the third derivative of -3*x**6 + x**3 - x**3 + 0*x**6 - x**p wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22819 divided by 5?\nAnswer: 22819\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(77)\/(sqrt(44)\/sqrt(4)) + 3*(sqrt(7) + sqrt(7) + sqrt(7)*-1) + 3)**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 88 = -3*g, -3*j = -17012*g + 17009*g - 45 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -125800464 by -4656.\nAnswer: 27019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*t**2 + 3*t**2 + 4*t**2 + (t + 2*t - t)*(2*t + 60 - 60) + (-2 + 0 + 3)*(0*t**2 - 2*t**2 + 0*t**2).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -220*c + 2000 = -95*c. Solve -c*u = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83939348?\nAnswer: 2, 20984837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 2359 divide 198743545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -580b (base 12) in base 15?\nAnswer: -2d88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 628, 1330, 2010, 2668?\n\"Answer: -11*f**2 + 735*f - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -30110300 (base 4) to base 2\nAnswer: -1100010100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 65175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.57 + 1.102?\nAnswer: 17.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 130, 176, 222, 268, 314?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 9*h**2 - 6*h + 4. Suppose -2*u + 5*u - 24 = 0. Suppose -u - 20 = -4*p. Does 30 divide m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -24, 2 in descending order.\nAnswer: 4, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**2 - 81*m + 6622 + 7*m - 3318 - 3315 to i*m**2 + k + q*m and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 6*h + 13. Let k(n) = -n**3 + 13*n**2 - 11*n - 16. Let j be k(12). Let z be w(j). Solve -3*g - 23 = -4*y, -z*y + 5 = -2*g + 3*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8\/47 - -721\/94. Let s = k - 8. Let w = 0.2 + 0.1. What is the second biggest value in s, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -9516589, -19033177, -28549765, -38066353, -47582941, -57099529?\n\"Answer: -9516588*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j = 2. Let t(a) = 1 + a + 8 - 5. Let y be t(-2). Is y > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4339173*k**6 - 36*k**2 - 4*k + 56 wrt k.\nAnswer: 520700760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in 1.72, 4, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/(-75)*(-90)\/(-120).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u + 8*u - u. Let d be q(1). Suppose 3*o = -d*s + 6*o + 38, -10 = -s + 3*o. Calculate the smallest common multiple of s and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -3*h**3 - 4*h**2 - 4*h. Let i(s) = 9*s - 28*s**2 + 23*s**2 + 14*s**2 + 6*s**3. Determine 4*i(q) + 9*u(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 290 = -3*p + 22, 4*a = -5*p + 520. What is the remainder when p is divided by 29*(2 - 0) + 6 + -10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2\/5 + 18*h\/5.\nAnswer: 3*h*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 204073785?\nAnswer: 3, 5, 4534973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 301*l**4 - 6*l**3 - 378 + 376 + 5*l - 305*l**4 to the form y*l**3 + u*l**2 + h*l + i*l**4 + m and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7649 - 7655. Which is the second smallest value?  (a) -3  (b) w  (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ppsyyassys?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -m + 5*v + 10, 2*m - 5*v - 25 = 0. Let z(d) = d**2 - 8*d - 6. Let t be z(9). Solve 3 = x - 5*c, 2*c = -m*x + t*c + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*n + 3 + 8 = 0, -4*j - n = -17. Solve 8 = -5*z + j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/688 and -113\/234912?\nAnswer: 10101216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/4*k**3 + 75\/4*k**2 + 55 - 60*k.\nAnswer: -5*(k - 11)*(k - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.4  (b) -0.09  (c) -5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 40*y**2 + 82*y + 619. What is j(42)?\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 + 5*c**2 + 3*c - 6. Let s be p(4). Let z be 1*(0 + 1*6). Solve 5*t**3 + t - s*t - 6*t**3 - z*t + 27 + 9*t**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-1\/15)*y*y**(-7\/3))\/(y**(-3\/13)*y**(13\/2)))**10 assuming y is positive.\nAnswer: y**(-2549\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 27 in 0.3, -2\/5, -0.2, 3185?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 169470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1829.28 rounded to the nearest 10?\nAnswer: -1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 43*m + 7. Let f(i) = -87*i - 15. Give -3*f(k) - 5*u(k).\nAnswer: 46*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(528) - sqrt(33)*-1*-6)\/((sqrt(99) + (2*sqrt(99) - sqrt(99)))\/sqrt(9)*-3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79285 - 24619 = -16*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 49 = m, -2*x + m + 39 = 2*x. Let i = x + 19. What is the remainder when 116 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127042973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -50*y**3 + 107*y**3 - 53*y**3 - 2*y + 5*y - 4*y**2. Let s(z) = 13*z**3 - 13*z**2 + 10*z. What is -7*f(g) + 2*s(g)?\nAnswer: -2*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 21\/2*k + 10*k**2 + 1\/2*k**3.\nAnswer: k*(k - 1)*(k + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 4*u - 5*f + 35, 5*u + 40 = 5*f. Let y = u - -31. Let r = 7 + y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152*o + 150*o = -22. Differentiate 12*n - o*n + 8*n - 17 + 14*n with respect to n.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by 2547489?\nAnswer: 16\/2547489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -0.1  (c) 2  (d) 0.536526\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1828 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-40)*((-10)\/(-3))\/(-2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**8*h)**(-2\/33)*h**(-11)*h\/h**(-1\/10)*h*h assuming h is positive.\nAnswer: h**(-929\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 - 26*j + 26. What is q(-28)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 427 divided by 901?\nAnswer: 427\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -855 or -861?\nAnswer: -861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3338)\/5*30\/(3 - 0). Let w be ((-1)\/(-3))\/(x\/(-1668) - 4). Suppose -135*u + w*u = 0. Solve -12 = -m + 3*k, -4*m + u - 16 = 4*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 18 + 1\/3*p**3 + 62\/5*p**5 - 7*p**2 + 0*p**4 + 0*p. What is the third derivative of g(h) wrt h?\nAnswer: 1488*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 508*b - 442*b - 66 = 0. Sort 4, 30.7, b in ascending order.\nAnswer: b, 4, 30.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2881 and 413617?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 3, k: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -26. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 136 = -i - 2*k, i = -5*k + 64. Suppose i*l = 55*l + 14392. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2937 divided by 25.\nAnswer: 2937\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -3*b + 3*w - 2*w, -2*w + 68 = 5*b. Suppose -2*g - b = -4*g. Solve 0 = -3*j - 3 - g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of w**6\/12 - w**4\/4 + w**2\/4 + 4. Factor f(i).\nAnswer: i*(i - 1)**2*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(14*(-18)\/(-48))\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5708*u**2 + 5*u + 2858*u**2 + 4 + 2858*u**2 to s*u**2 + p + m*u and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 9*o**2 + 13*o - 2. Let q be i(-5). Let x(s) = -s + q*s + 3 + s. What is the tens digit of x(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 26 = -4*v, -40*v + 42*v + 5*c = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 + -16. Suppose -4*d - 140 = 4*c, -m*c - 4*d = -8*d + 130. Let p = c - -34. Solve -2*u + p*o = -14, -2*o = 5*u + o - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2*b + 4*i = 149, -137 = -3*b + 2*i. Suppose 2*v = 2*a + 64, 5*v + b = -5*a + 247. Suppose -201 = -5*t - v. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-9)*n**(-2\/9)*n)\/(n*n**1)**(-3\/4))**(6\/11) assuming n is positive.\nAnswer: n**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*((-115)\/30 - -4). What is the closest to -0.2 in q, 5, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 11:15 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 399 divide 393239412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1\/4, -18 in descending order.\nAnswer: 2, 1\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44*o**3\/7 + 376*o**2\/7 - 192*o\/7.\nAnswer: -4*o*(o - 8)*(11*o - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119305 is divided by 872?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 785141160?\nAnswer: 2, 3, 5, 6542843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*f + 1 - 3*f + 2*f)*((1165 - 1165 + 37*f)*(5 - 2 - 1) + (-2*f - 1 + 1)*(-3 - 2 + 3)) - 2*f**2 + 2*f**2 - f**2 to o + y*f + q*f**2 and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5504507 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*i + o + 540 - 91, -3*i = -5*o - 79. Calculate the smallest common multiple of 138 and i.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4588735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-5 + 1*sqrt(1568)*2) + -3)**2.\nAnswer: -10304*sqrt(2) + 100881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*b + 12408. Suppose -2*y - b = -3*y. Let g = 404 - y. Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of t**5\/60 + 5*t**4\/24 - t**3\/2 - t**2. Let m be l(-5). Calculate the lowest common multiple of 20 and 36\/10*(-10)\/m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 - 8 = 3*y. Suppose -5*n - y*q = -205, 3*n = -0*n + 3*q + 135. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 34575*y**2 + 103708*y + 11. Give l(-3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 55*n**2 - 347*n + 601. Calculate f(48).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1077 and -747.1?\nAnswer: -804626.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 4*h - s - 61 = 0, -h + 2*s + 10 = 0. Let m(n) = n**2 - 4 + 2 - h + 4*n. Let p be m(-7). Solve -p*g = g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 - ((-3 - (-1 - 17)) + -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + (-5 - -2 - (-32 + -1)). Suppose -o = 6*o - t. Find the first derivative of -29*b**2 + 28*b**2 + 5 - o + 15*b**2 wrt b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.24 + 0.04. Which is the nearest to z?  (a) -2\/5  (b) -1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5655 and 16211.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/11  (b) -0.2  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 10:44 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 12) + 5 - (1 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + w - 267 = -1390, -u = 2*w - 218. What is the remainder when u is divided by 65?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 2:23 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1394884 is divided by 457.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - 21. Solve 4*g + 16 = -f*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -v**3\/3 - 9. Let p(f) = -15*f. What is n(p(h))?\nAnswer: -225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(-1)*d)\/d**(-5)*(d**0*d)**(-17)*(d**0\/(d*d**(-3)))\/(((d\/(d*d\/d**(1\/3)))\/d)\/(d**1\/d*d)) assuming d is positive.\nAnswer: d**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -1.075 and -0.20564 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 131518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.31 + -0.31. What is the smallest value in -4, b, 0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1265 - 1101. Calculate the highest common divisor of 615 and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - 6*k**2 + 7*k. Let g be w(3). Let v(x) = -x**3. Let s(h) = 5*h**3 - h**2. Determine g*v(m) - s(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 + 43. Let o be (v\/(0 + -3 + 6))\/(-1). Suppose o = -j + 4. Which is smaller: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, g: 4, i: 2}. What is prob of picking 2 c and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 5:32 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -397556 and 4.\nAnswer: -1590224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 87607 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -20, -71, -154, -269?\n\"Answer: -16*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2*a - 166, -m + 71 = a - 0*m. Suppose 0*r = -5*r + a. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -5*m + 5. Let u(b) be the first derivative of -6*b + 0*b**3 + 3*b**2 + 1\/4*b**4 - 17. Let l = -469 - -463. What is l*h(x) - 5*u(x)?\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 67 = k, 56 = c - 0*k - 5*k. Suppose 11*w - c = 24. Suppose o + 2*r = -3*r + 233, 4*o = -w*r + 1007. Does 43 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17817962.1 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-13))\/((-120)\/(-40))*(-45)\/(-5)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 62188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 10 + 71. Let g = x - 55. Is g at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 6*v - 6. Let r be z(-6). Let x = 44 + r. Suppose x = 5*o - 4*q, -o - 36 = -6*o + 3*q. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1357\/116730 - -2\/3891. Let q = 5756 - 5757. Do q and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/3 + 11692*k\/3 + 7796.\nAnswer: -(k - 11694)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**4 + 21176763*r**3 - 34395926*r**2.\nAnswer: 24*r + 127060578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -31110 divided by 510?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 349*l + 1295 + 101 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*h**3 + 19*h**3 + 35*h**3.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + 10 + 1 + 3. Calculate the remainder when 69 is divided by (3 + h\/(-3))*(-12)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 + 4)*(-4*h + 7*h + 5*h)*((4*h - 4*h + h)*(1 - 1 + 3*h) - h**2 + 0*h**2 + 4*h**2).\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*r + 132*r + 57*r**3 + 413*r**3 + 126*r.\nAnswer: 470*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*5*((-2)\/(-12))\/((-5)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0324 - 13?\nAnswer: -15.0324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -3) + (2 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -105100432 - 15?\nAnswer: -105100451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 PM and 3:34 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3424 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 87018 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38771, 42773, 49433, 58745, 70703, 85301, 102533, 122393?\nAnswer: 144875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1684032.220698 - -0.1.\nAnswer: -1684032.120698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 557*b**3 + 113 wrt b.\nAnswer: 1671*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 23423240 - -11?\nAnswer: 23423251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/48*54\/33)\/(42\/(-11))?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -3*y - 3. Let w = 16 - 8. Let q(m) = -15 - w*m - 5*m + 2. Give 9*o(h) - 2*q(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*f + 1\/2*f**3 - 1\/6*f**5 - 1\/3*f**2 + 0*f**4 + 0 = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -z**9\/12096 - z**8\/3360 + z**6\/720 + z**5\/480 - z**3 + 1. Let w(h) be the third derivative of o(h). Factor w(g).\nAnswer: -g*(g - 1)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -6*b + 37*b**2 - 7*b + 5*b - 15. Let w be t(-6). Let r = w + 968. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0 + 2*d)*(-2*d**4 + 0*d + 0*d).\nAnswer: -4*d**5 - 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -10 + 11*h - 4*h**2 + h**3 - 2*h**2 - 5*h**2. Let w be (-4)\/(-8)*(21 - (1 + 0)). Let y be r(w). Is y < 1\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 21*n**2 - 17*n - 55. Let l be w(20). Solve 31*o = 26*o - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -q + 10. Let c be (6\/(-8))\/(1\/(-4)). Solve -5*d**3 + 2*d**c + q*d + d**4 - 3*d + 3*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -226*d - d**3 - 8*d**3 + 211*d wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/51 and 47\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - 41*g - 1651. Let k be f(-25). Put k, 2503\/5, 0.3 in decreasing order.\nAnswer: 2503\/5, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -252060371 + -4?\nAnswer: -252060375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*o + 5*o + 38923 + 28157 = 0. Does 106 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c**5 + 11392*c**4 + 125736*c**3 + 171648*c**2 - 308772*c = 0. Calculate c.\nAnswer: -9, -3, 0, 1, 2859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*d = 2*r - 8, 0 = 3*d. Suppose 294 = 7*h + 14*h. Suppose -u - 4*f = h - 46, -r*u = -2*f - 92. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -11*m**6\/60 + m**5\/10 + 31*m**4\/24 - 513*m**2. What is the second derivative of l(f) wrt f?\nAnswer: -132*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 40*p**3 - 17*p - 121. Let h be 268\/16 - (-3)\/12. Let q(b) = 13*b**3 - 6*b - 40. Let k(t) = h*q(t) - 6*f(t). Find the first derivative of k(s) wrt s.\nAnswer: -57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 4.422409 meters?\nAnswer: 4422.409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/62 + 59\/186. What is the smallest value in s, 1, -0.1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 63*v - 90. Let p(r) = -202*r + 288. Let k(j) = 5*p(j) + 16*s(j). Let h(m) be the third derivative of 7*m**4\/12 + m**2. Calculate h(k(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/4 - 35*c**2\/2 + 487*c\/4 + 279\/2.\nAnswer: (c - 62)*(c - 9)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 775762 (base 9) to base 3\nAnswer: 212112212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (-1432)\/(-14) + 34\/(-119). Let l = j + -61. Calculate the remainder when l is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*l + 68 = 63*l. Let v(n) = -8*n - 30. Let s be v(l). Solve 14*p = 15*p - s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12993?\nAnswer: 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 847 less than or equal to 656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 28791317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 15*y - 11. Let q(p) be the second derivative of 4*p**3\/3 - 3*p**2 - 10*p + 2. Calculate -11*q(n) + 6*w(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2298 - -1300. List the prime factors of q.\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (2 - -2 - 7) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 70750627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 237, 474, 711?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 PM and 6:01 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that g**2 + 84*g = 0.\nAnswer: -84, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 2\/3, -10.03, 1, -0.03, 25?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*k**3 + 131*k + 8*k**3 - 129*k + (6*k + 0*k - 5*k)*(96*k - 96*k + 143*k**2) in the form y + d*k + h*k**2 + c*k**3 and give c.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 120\/396*(-803)\/292.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 5)*(-3*j + 4*j + 0*j) + 1 - 1 + j + 2*j - 3*j - 2*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4, a: 3, y: 9}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 304367 and 1.6?\nAnswer: 304365.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*x - 3*m, -28*x - 1 = -25*x - 5*m. Is x greater than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w - 265 = 5*d, -5*w + 22 = -8*w + 22 for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6684\/(-8)*(-6)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14174 by -14174.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -277*l**2 + 4*l**3 + 69*l - 53 + 40 + 13.\nAnswer: l*(l - 69)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3164\/1568 - (-68)\/(-3808)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 674 - 24319\/36. Calculate the common denominator of i and (82\/8)\/(54\/8).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/2  (b) 4  (c) -1\/8  (d) -4\/7  (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9620890 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0168095 - -1.8261935. Let s = p - 1.81. What is s rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2075, 4150, 6225?\nAnswer: 8300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -7*m**3 - 3*m - m**3 - 5*m - 2*m**2 + 7*m. Let z be ((-12)\/5)\/(4\/20). Let k be (-8)\/z*3\/(-2). Calculate p(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 190*t**2 - 3*t - 4. Let f be n(-2). Does 11 divide (10\/(-15))\/((-4)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -3  (b) 1  (c) -158.5  (d) -9.3  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-3)\/n*n*n**(14\/3)*(n**(2\/35)\/n)**(-35) assuming n is positive.\nAnswer: n**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z + 2. Let n be r(-2). Let f be (-24)\/13 + 0 + n\/(-65). Let b = f + 9. Let o(m) = -m**2 + 6*m - 1. Give o(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y - 5. Let r(p) = p**3 - 15*p**2 - 19*p + 51. Let t be r(16). Let k be t - ((0 - -5) + (-60)\/6). Calculate m(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 1 = 0, -5*r + 3*r = n - 97. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.044*0.4.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -2*u + 2*c, -29*u + 18 = -4*c - 66 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t - 4 + 15*t + 2*t - 20*t + 0. Let x be (2 - 3)\/(1\/(-3)). Let c(i) = -i - 1. What is x*c(z) - j(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3784, 14914, 33404, 59254, 92464, 133034?\nAnswer: 180964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 110010010010 (base 2) in base 13?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 410040 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 74, 308, 700, 1250, 1958?\n\"Answer: 79*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 230 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 75 + -221\/3. Find the common denominator of x and 25\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -39*q + 1501 - 1407 - 2161 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 960000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48213?\nAnswer: 3, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1213400649 to three decimal places.\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 399907 or 399813?\nAnswer: 399907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + 1 - (-3 - -1). Suppose -2 + s = -c. Suppose -8 + 0 = -2*h. Solve c*z + n = -3 - h, 3*z - n + 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**3 + 6607*k**2 - 72924*k + 42. What is y(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*(-2)\/2)\/((-1)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 231*t**2 + 11*t + 10. Let f be s(-1). Calculate the highest common factor of 40 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 27*h**4\/10 - 174603*h**3\/5 + 1590329*h**2\/10 - 400803*h\/5 + 51716\/5 = 0?\nAnswer: 2\/9, 1\/3, 4, 12929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(6\/11)*(g\/(g**(2\/21)*g))\/g*g*g*(g\/(g\/g**(2\/3)*g))\/g**2 assuming g is positive.\nAnswer: g**(-68\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 7) to base 3\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -663550.24*-0.3\nAnswer: 199065.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*q - 60 = 16*q. Solve -5*v + q = 3*f, 0 = -f + 4*v + 10 - 26 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wepe when four letters picked without replacement from {w: 9, e: 2, p: 7}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17988 - 53727 = -21*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 8*q**2 - 8*q + 10. Suppose 0*n = -3*n + 21. Let u be i(n). Solve 15 = -u*t - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -269 and 1.7?\nAnswer: -457.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*w = -6*y + 138, -3*w - 64 = -2*y. Let i = y + 35. Suppose 0*z + z = 2*x - 56, 3*x = z + i. Is -44 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5384417819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -137*s**3 - 2*s**2 + 2*s + 5201 wrt s?\nAnswer: -411*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from okko. What is prob of sequence oko?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -690 + 754. Calculate the remainder when p is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, 0.0615, -3\/5, 0.6, 1\/6, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6f5e7 (base 16) to base 3\nAnswer: 212011202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 7 = -0*n - n, -n - 5*z = 27. Let l be 2 + 3\/(-2) + (-163)\/n. What is the greatest common divisor of l and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 24 + b**3 - b - 3*b - 30 + 7*b**2 - 12*b**2. Determine i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26001 and 58642848.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2593*h**3*n - 3*h**2*n - 2*h**2 + 5*h + 398809*n wrt h?\nAnswer: 7779*h**2*n - 6*h*n - 4*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pakwqjkq. What is prob of picking 1 k, 1 w, and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 48040\/(-176)*(-12)\/(-42). Let m = p - -537\/7. Find the common denominator of m and 55\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13432779499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1352 (base 6) to base 11\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((15 - 5) + -15 - -22) + 18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -0.3, -17348, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjljjjljjjjlljlljj. What is prob of sequence lll?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 4) + (-28)\/(-9). Let o = 49\/36 - c. Factor -1\/4*i**2 + 1\/4*i**3 - o*i + 1\/4.\nAnswer: (i - 1)**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -13. Let w = h - -1. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 7:38 PM?\nAnswer: 561","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 8154389, 16308829, 24463269, 32617709?\nAnswer: 40772149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10070 = -24*x + 10378. List the prime factors of x.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, o: 1, u: 4}. Give prob of picking 3 l and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -45*b**4 + 56242*b**2*m - 2*b - 1792949*m - 1 wrt b.\nAnswer: -180*b**3 + 112484*b*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -12, -8, -2\/3, 11 in decreasing order.\nAnswer: 11, -2\/3, -4, -5, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-415)*((-72)\/(-224))\/(159\/742)\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 81\/8 or -2\/79?\nAnswer: 81\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 41861371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 16 = 7. Suppose 3*v + 3 = r. List the prime factors of v\/(-6) + 530\/15.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -168*a - 226. Let u be o(38). Let g = 16343 + u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -54.971 - -55. Let r = h + -0.02993. What is r rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*53.4\nAnswer: 160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 63, 211, 595, 1329, 2527, 4303, 6771?\n\"Answer: 19*z**3 + 4*z**2 + 3*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 3*p - 9, 0 = d - 1 + 5. Let m(g) = -2*g**2 - p*g**2 + 4*g**2. Let i(l) = -2*l. What is m(i(o))?\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93.25717 tonnes to micrograms.\nAnswer: 93257170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -18. Let f be (-8)\/(-48)*9 + (-436)\/(-8). Suppose 3*q - r = 2, f = 5*c + 2*q. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p**2 + 2*p + 2. Let l be (-2 + 0\/(-2))*1. What is the units digit of u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 265 + -249. Let r = -1.04 + -0.96. Let w be (-18)\/(-16)*7\/(-21). What is the second smallest value in w, y, r, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87655 = 197*o + 79775 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) 173\/808  (b) 0.3  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 37*i + 74. Let d be n(-2). Let r(g) be the third derivative of 0*g**3 + 6*g**2 + 0*g - 1\/30*g**5 - 1\/12*g**4 + d - 1\/240*g**6. What is v in r(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -313984\/3 - -105551. Let c = 1268847 + -60947093\/48. Let a = t + c. Calculate the common denominator of a and -11\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1029891, -1029885, -1029879, -1029873?\nAnswer: -1029867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15465 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 AM and 10:57 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2803596, 2803602, 2803608?\n\"Answer: 6*x + 2803590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 - 34. Calculate the lowest common multiple of (-56)\/(-7) - (d - 1) and 188*7\/140 + 3\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32.9 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3848975583 rounded to three dps?\nAnswer: 0.385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 3*x - 19, 0 = t - 5*x + 1 + 4. Suppose -2*a - 3*a + t = 0, 4*u - 92 = 2*a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4610 and 128165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -499, -687, -875?\n\"Answer: -188*p - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32917*k**3 + 156355*k wrt k?\nAnswer: 197502*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 1\/6, 43, 1, -0.2532, -3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((-375)\/(-625))\/(3 - 112\/36)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1541537*r**3 + 454667*r**2.\nAnswer: -9249222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y - 11*y + 4*y - 22)*(3 - 3 + 2).\nAnswer: -2*y - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.24 + 0.04. Let h = g - -1. Let f be ((-120)\/(-80))\/(2\/((-16)\/(-2))). Is f greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11 + 13)\/(1\/((-87)\/(-30))) + -6. Is f greater than -969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -h**7\/3360 + h**5\/160 - h**4\/12 + 2*h. Let y(x) be the third derivative of c(x). Determine d so that y(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 3:53 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kok when three letters picked without replacement from {k: 3, o: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-3) - 133\/(-57). Suppose 10*b + 10 = w*t + 5*b, 4*t = -5*b + 60. Suppose 5*q - 10*q = -t. Solve 0 = q*k + 2*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2)\/5*25\/(-160)*-122 and -87\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2070401134 to the power of 1\/3, to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g + 1 + 7*g - 12 + 4*g.\nAnswer: 4*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.0707 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2072\/171 + -110\/9. Let l = -82.444 + 83. Let w = -0.256 + l. Which is the closest to w?  (a) 0  (b) y  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, l: 1, w: 3, r: 1}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -a285 (base 11) to base 5\nAnswer: -414040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20855*n**2*q + 7*n**2*v + 7*n*q*v + 2*n*v - 134*n wrt n?\nAnswer: -41710*q + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 12:30 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2495672808 by -12.\nAnswer: 207972734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -19, 33, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**4 + 2*v**4 - 3*v**4 + (3*v**3 - v**3 - 3*v**3)*(4*v + 3*v - v) + 9*v**4 - 5*v**4 + 20*v**4 - v**4 + 4 + 2*v**4 - 3.\nAnswer: 20*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -335.\nAnswer: 4\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 3*l - 7, -35*k - 6*l + 2 = -30*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -82 + -25. Let o = b + 227. Let h = 119.99999911 - o. Round h to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -28004760 divided by -7001190\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 144*u - 577*u - 18 + 36.\nAnswer: -433*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence euu when three letters picked without replacement from pjeuuzk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -35*z**2 + z. Let q be (-4)\/(-10) + (-1 - (-36)\/10). Suppose -4*p + 4 = -2*h, 0 = q*p + 4*h - 3*h + 7. What is j(p)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of ((((-32200)\/(-42))\/20)\/(3\/(-1953)))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -1\/120*c**6 + 2\/3*c**3 - 5*c - 3\/20*c**5 + 0 - 9\/8*c**4 + 0*c**2. Let q(m) be the second derivative of k(m). Factor q(w).\nAnswer: -3*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -1 + -5 - 0) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -6. Suppose 2*z - 4*r = 0, b = 3*z - z + 2*r - 6. Find the third derivative of 0*u**2 - u**z + 3*u**6 + u**6 wrt u.\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + o. Let k(i) = -12*i**3 - 11*i + 3. What is -22*a(n) - 2*k(n)?\nAnswer: 2*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1738855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -289 + 421. Let c = p - 123.7. Which is greater: c or 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = t - 2*t + 3*o, 2*o = 5*t - 60. Let h be (-10)\/12*(-4)\/t. Which is smaller: h or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 465661*w**2 + 286544.\nAnswer: 931322*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/(-6) + (-7)\/21. Let s(c) = -3*c + 4. Does 8 divide s(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -823 - -1461. Let n = -383 - d. Let u = 2640 + n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -6 + 12 + 7 - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-9)\/((-22)\/(-88528)*-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 3 - 2*r - 3*r**2 + 0 - 1. Let i be d(-2). Solve -i*u - 2*u = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -8211781\nAnswer: -1642356.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**3 + 1970*g**2 + 11680*g + 15520.\nAnswer: 5*(g + 2)*(g + 4)*(g + 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -y + 12. Let i = 32 + y. Let f(h) = 2*h - 3. Let a be f(4). Calculate the greatest common divisor of i and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/2)\/1*(864\/(-126))\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157*r = 159*r - 630. Let k = r + -313. Suppose -4*y = 4*s - 20, -3*y - 9 = -2*s - 3*s. Which is the second smallest value?  (a) s  (b) -2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 5*j**2. Let o(c) = -2*c - 2540 + 2540 - 179*c**2. Calculate o(k(t)).\nAnswer: -4475*t**4 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 5*p - 50, -2*u + 5*u = 5*p + 40. Let q = -3829 + 3849. Calculate the greatest common divisor of q and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-119)\/(-2)*7304\/77?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -5, -20.9, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (((-10)\/2)\/35)\/((-144)\/126)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 422748696.\nAnswer: 2, 3, 1097, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/19, 0.66, -2, 0.04, 1, -44, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 + -2)\/(2\/20). Let i(s) = 3*s + 17. Let u(z) = z + 9. Let y(t) = -2*i(t) + 5*u(t). Let f be y(k). Calculate the greatest common divisor of f and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-15) - (-80)\/(-60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 675.344 to the nearest integer.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 26090 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -967 - -3913. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 11. Let z be t(0). Let k(b) = -6*b - 1. Let d be k(-2). What is the highest common factor of z and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13528 - 4634 + 5224 - 13258 + 4399)*(2*u + u - 4*u) to the form h + n*u and give n.\nAnswer: 21797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -1. Let a = -194 - -198. Suppose -j*l = -a*l + 6. Solve -4*n + 1 = -l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = -3*a. Suppose -4*g = -4*h + 244, -3*g = 2*h - 0*g - 112. Calculate the remainder when h is divided by (2 - 11\/a)*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 3*h + 1057 - 1083, 5*h = 2*c - 34. What is the remainder when c is divided by -1 + -1 + 1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - -6) + (-51)\/(-18)*-1. Let n(f) be the second derivative of 1\/20*f**5 - r*f**4 + 0*f**2 + 0 + 1\/6*f**3 - 2*f. Determine l, given that n(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 3*z - 16, -4*l + 3*z = -30 + 11. Let i(r) = -r**3 - 3*r**2 + 4*r + 3. Let h be i(-4). Solve h*a + 8 = -l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 + 29*g**2 + 53*g - 27. What is w(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 47128215947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 23*a**3 + 22. Let z(d) = d**2. Give j(z(t)).\nAnswer: 69*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 64059500377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n**2 - 5*n**2 + 5*n**2)*(-144 + 192 + 429) to the form d*n + i*n**2 + f and give i.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -3. Let c be -8 + (u - 3) - 1. Let a be (-7)\/(-49)*-7*10. Is c at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86792974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 27556*t - 909341. What is j(33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 - -21.2. Let w = z + -0.2. Let l = 0.3 + -0.2. Which is the nearest to l?  (a) -2  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -529.\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -10, -2, 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4 = t - 5, -5*t + 69 = 3*v. Suppose -38*c - 3*f = -40*c + 37, 46 = 4*c - 2*f. Calculate the greatest common factor of t and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-262)*(-980)\/(-49)*(-13)\/(-715)*11.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -551\/45 + 103\/9. What is the smallest value in 0.3, g, -8, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/35)\/(-5 + 152\/15 + -6)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 10:44 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/23*1\/13. Let p be (-11)\/(59202\/79815) - 4. Let d = o - p. Find the common denominator of d and -15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 110 - 110. Suppose -y = -2*x + 7, -y + 4*x + 3 - 12 = f. Let s = 4 - 0. Sort -3, y, s in decreasing order.\nAnswer: s, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1251*q**3*x**2 - 2*q**3 - 5*q**2*x - q*x**3 + 18*x wrt x?\nAnswer: 2502*q**3 - 6*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -19\/5, -3\/4, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/224*(-14)\/(-5) - (-7)\/(-28)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136 and 11237.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8668*t**3 - 5 + 87 + 8666*t**3 - 13 + 34 - t**2 + 38*t to d*t**3 + m + p*t**2 + u*t and give m.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 17. Calculate the greatest common factor of 65 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-15) - (-4)\/(-35). Let u = -4.1 + 8.9. Let x = -4.3 + u. What is the smallest value in 4\/9, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 77473.28mg?\nAnswer: 0.00007747328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 290 and 122176.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of r**4\/42 - 18*r**3\/7 + 288*r**2\/7 - 10*r + 94. Let j(t) = 0. What is t?\nAnswer: 6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = y - 5, 0*m = -y - 3*m + 7. Suppose 90 - y = s - 3*z, 97 = s + 2*z. List the prime factors of s.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 100898 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-1))\/((-3348)\/32*((-6565)\/195 + 35)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r + r - 2*r)*(-4 - 2*r**2 + 4) + (-8*r - 2 + 11*r - 1)*(3*r**2 + 2*r**2 - 4*r**2) in the form q*r + c*r**2 + j + l*r**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2323873 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 - (-105 - (54 + -135))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*p - 13*p - 37 = 21*p - 10162 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -317698 and -1.\nAnswer: -317699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (0 + -25 - (-1438 + 1448)) + 1 + 15\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22826173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(1\/(-127 - -6)). What is the greatest common divisor of m and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 245  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-27)*(-27)\/(-66)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 96, 1, 4\/3, 0.2, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40931 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14872.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (34 - 42) + 8\/1. Let v be 20\/15*6\/4. Let h(s) = -s**3 + s - 16 + 14 - v*s**2 + s**2. Calculate h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in sixteen sevenths of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2*sqrt(8))**2 - sqrt(24)\/(sqrt(12) + sqrt(12)*2*4).\nAnswer: -sqrt(2)\/9 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21971 - -21976. Solve -a*b = -20, -3*i - 25*b + 29*b - 31 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29040 divided by -528\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67931302.\nAnswer: 2, 59, 575689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 - 203. Let k = 481163\/10 + -48304. Let p = d - k. Calculate the common denominator of 23\/6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2669782 = -44*c - 779850. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of 2*d**2 + 10*d - 31. Let x(j) = 2*j + 5. Determine 6*m(a) - 11*x(a).\nAnswer: 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 8. Let u = 6.1 + -6.3. Sort c, -2, -3, u in decreasing order.\nAnswer: c, u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -3*g - g + 8 + 3*g. Let b be u(-6). Calculate the greatest common factor of 126 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from rcgrcccggrgggrggggc.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69249160 to the nearest integer?\nAnswer: 8322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fb when two letters picked without replacement from bnfbbbfbnfffffbnfbnb?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 5 - 4)*(-72*w - 82*w + 100*w)*(3*w**3 + w**3 - 2*w**3) in the form p*w**2 + r*w**3 + v*w + j*w**4 + c and give j.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(2 + -16)*(-252)\/24. Let f = 0.2 - 0.3. Sort p, 0.5, f in descending order.\nAnswer: p, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 5 + (531 - 537) + 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -39786*x + 38912*x + 97014 for x.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3))**(-3\/13) assuming t is positive.\nAnswer: t**(9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -16 + 3 - 162\/270*-30. Suppose -5*a + 2*s = -158, -2*a + 0*a + 76 = -4*s. Solve -a + 10 = -q*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15830, -63022, -141682, -251816, -393430, -566530, -771122, -1007212?\nAnswer: -1274806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -353153825 or -353153824?\nAnswer: -353153824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 2*k - 198, -54 = -4*k - f + 342. Let b be (4\/(18 + -2))\/((-35)\/(-1540)). Calculate the highest common factor of k and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*a**2 + 36752*a + 722319 with respect to a.\nAnswer: -28*a + 36752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**43)**34\/(f**(-32))**(-6\/23))**(2\/25) assuming f is positive.\nAnswer: f**(68432\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 136149067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 204\/14 + (-21)\/(-49). What is the common denominator of d\/((-2)\/(8\/(-44))) and -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 4) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.32 - -44.32. Let n = 43.9929 - v. What is n rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**3 - 11*g**2 - g + 3. Is v(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 54125540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - 265*p + 59919. Determine o(147).\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 662.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3064650?\nAnswer: 2, 3, 5, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or -1229283122?\nAnswer: -1229283122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4*v**3 + 5*v**2 + 5. Let c(u) = u**2 - 1. Let k be (-111)\/(-21) - (3\/2)\/((-3339)\/(-636)). Determine k*c(n) - f(n).\nAnswer: -4*n**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4\/7 - 31\/42. Let n = -205.2 - -205. Which is the closest to 1?  (a) r  (b) n  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, -90477 in decreasing order.\nAnswer: 0, -4, -90477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -3\/384307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - (-27)\/3)*2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12369464*a**2 - 6184764*a**2 - 6184655*a**2.\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -18*o**2 - 2410*o + 1693432 = 0. What is o?\nAnswer: -3428\/9, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2 - 36*m**2 + 189*m**2 - 7.\nAnswer: 153*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9887941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(13)*-1*-2 + -2.\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2532, 2533, 2534, 2535?\n\"Answer: p + 2531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32530*f + 355 = -32543*f + 3*v, -4*f = 4*v + 124 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19873 + -19869. Let r(x) = -5*x**2. Let p(q) = 0*q**2 - 3*q**2 - 2*q**2. Determine i*p(z) - 3*r(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*b - 10. Suppose 9 = 3*t - 0*t + 3*u, 0 = t - b*u - 3. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.00224 - -0.0022393515. Round a to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of s**4\/12 - 4*s**3\/3 + 10*s**2 - 4*s. Let p be y(4). Is -0.8 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 474, 509, 560, 621, 686, 749?\n\"Answer: -d**3 + 14*d**2 + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*l = -225. Let i be (-243)\/l - (-3)\/5. Suppose -2*o - o + m + 19 = 0, 2*o + i = -4*m. What is the highest common factor of 25 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 23*w = 28*w + 15, 13 = -f + w. Sort f, 4, 1, 8 in ascending order.\nAnswer: f, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/64 and -87\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 4 - o - 6 + 5. Let w(x) = x + 2. Let f be w(-5). Let j be (-13)\/f - 8\/(-12). Calculate l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 11:42 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1718243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6420 by 6.\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1825 divided by -511.\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 681.5574 millilitres in litres?\nAnswer: 0.6815574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 13*r + 5. Let x be z(-13). Let v be (2\/4)\/((-4)\/24). Let s = v + x. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-54)\/6)\/(-9)*(-148)\/32 and -10\/49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of -k**6\/60 + 11*k**5\/60 - k**3\/2 + 5*k**2 - 6*k. Let o = 198 + -112. Calculate the remainder when o is divided by b(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12.55 - 12. Let q = t - 0.3. Let n = q + -0.78. What is n rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -v + 4. Suppose -17 = -35*r + 158. What is the closest to -1 in r, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 236275 is divided by 440?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 12090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 3 + (-2 + 2 + 2)*(0 + 1 - 3) - 1 + 3 - 3 - 233 + 464 - 251)*(-4*g - 3*g + 6*g) + g - 3*g + 3*g + (2 - 2 + 2*g)*(-1 + 4 - 1).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03 + -0.321.\nAnswer: -0.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 138\/9*4*(-18)\/48.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.9 + 0.3. Let i = -2444 + 2447. Sort h, i, -4, 0.\nAnswer: -4, h, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -f**5\/60 - f**4\/12 - f**3\/2 - f**2\/2 + 3. Let b(k) be the second derivative of r(k). Let m = -8 + 5. Determine b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 7*t**2 - t - 3. Let q be y(-7). Suppose -48 = -c + s - 0, -c = q*s - 28. What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 2*a - 234, 2*a - 204 = -4*q + 6*a. Suppose 2*g = -2*g + q. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -870*z**2 - 35*z + 145725 wrt z.\nAnswer: -1740*z - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1156.2272 rounded to one decimal place?\nAnswer: 1156.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from pnnpn.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - -13c?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -85 + 139. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3*s + 17. Let m be i(7). Sort 5, m, 4 in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1*(((sqrt(76) - (-2 + sqrt(76))) + -5 - sqrt(76)) + (sqrt(76) + 4)**2 + 0)*-4.\nAnswer: 56*sqrt(19) + 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -10\/383 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 + -27. Solve m = 5*z - 5 - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/3*15\/2. Suppose 0 = -b*p + 40 - 15. Let z(d) = 420*d + 9675. Let a be z(-23). Solve -p*h - a = -0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, -0.2, 184, -1, -5, -0.6 in decreasing order.\nAnswer: 184, -0.2, -0.6, -4\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 51, -291, -1027, -2157, -3681, -5599, -7911?\n\"Answer: -197*z**2 + 249*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/65)\/(38\/(-95))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 3*l**5 - 52*l**3 - 3*l**2 - 4*l + 23. Let x(b) = -b**2 - b + 1. Let z(g) = -r(g) + 3*x(g). What is the second derivative of z(y) wrt y?\nAnswer: -60*y**3 + 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2724787*s - 2724787*s - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 7, -5, -1, 3, 561705, 4 in decreasing order.\nAnswer: 561705, 7, 4, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -42, 5, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1114)\/(-26) - 2\/(-13).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/21)\/(2\/(-28)). Suppose 3*n + 6*l = r*l + 25, 4*n = -l + 35. What is the remainder when 43 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 2*b + 3. Suppose 0 = -8*o + 3*o + 5*i + 10, 4*i = -3*o + 13. What are the prime factors of r(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50563721305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 93 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 458916 and 156.\nAnswer: 5965908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -4, 1, -2966 in decreasing order.\nAnswer: 5, 2, 1, -4, -2966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2) - (-54)\/(-12). Suppose -2*x + o + 13 = 0, 0 = 4*x + 5*o - 8 + 3. What is the remainder when 6\/j + 136\/16 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -1\/2, 6, -7, -1\/5, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*a - 2*a + 4*a + 2*a + 4 - 4 + (-4 + 4 + 1)*(-4*a + 2*a + 3*a) - 5*a + a + 3*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -289606?\nAnswer: -5\/289606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -52 - 22 + 133 - 5*a. Calculate z(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3237066?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o*o**(-1\/4)\/o))**(6\/7)*(o**(2\/15)\/o)\/(o*o\/((o\/(o\/o**(3\/10)*o))\/o)))**50)**(-1\/13) assuming o is positive.\nAnswer: o**(3670\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, b: 2, t: 1, e: 2, a: 1}. Give prob of picking 1 z and 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 349 - 345. Solve -4*y - m = -8*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 14\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 19*u. Let m(p) = -8*p. Let d(t) = -4*t. Let h(r) = -5*d(r) + 2*m(r). What is v(h(c))?\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q - 21*q**3 + 2*q**2 + 33*q**3 - q to v*q**3 + c + h*q**2 + d*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 234786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uppv when four letters picked without replacement from pzpupzupzupvpuuuz.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-3*sqrt(117) - sqrt(117) - sqrt(117)) + 0 + 2)**2.\nAnswer: -120*sqrt(13) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u - 9. Calculate y(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 9 - (-12 - (-6 - -6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + x + 28 = 0. What is the highest common factor of 224 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2 + 5*k + 7. Let n be (2 - 0) + 70\/(-10). Calculate the remainder when v(n) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20\/(-330) - 1992\/(-198). Solve -5*i - 20 = -u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3052751 (base 11) in base 5?\nAnswer: 2340011303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34.02 + 0.02. Let v = 32.5 - 68.4. Let w = s - v. What is w rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g + 3*l - 17, 4*g - 1381 = -2*l - 1377 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/2))**(-15)\/(y*y\/(y*y*y\/y**(-2\/3))*y*y*y)**(-4\/25) assuming y is positive.\nAnswer: y**(-1093\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 23*q**2 - 30*q - 16. List the prime factors of b(-23).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - q = 0, -2*q + 10 = -6*o + 9*o. Let y(b) be the third derivative of 0 - 1\/30*b**5 + 13*b**o + 0*b - 1\/60*b**6 + 1\/6*b**4 + 0*b**3. Factor y(a).\nAnswer: -2*a*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z - 4*z + 2*z + 1)*(-2*z + 3*z + 0*z) - 6*z**2 + 5*z**2 - 2*z**2.\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 5 - 5)*(2 - 2 + 1 + (5 + 0 - 3)*(17 + 21 - 7))*(0*u + 3*u - 5*u + (2*u - u + u)*(-2 + 4 - 4) - 44*u - 48*u + 84*u).\nAnswer: 3528*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 10 = -2*g + 65, 4*r = 5*g - 162. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + i**2 + 12*i + 192. Is 8 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2120.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -7071 at least as big as -9161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 55232.99 millimeters?\nAnswer: 0.05523299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9621419 and -6.\nAnswer: 57728514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -z. Solve z*c = 2*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 8) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -0.157?\nAnswer: 0.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/12 and 121\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2185758 - 1265117. Let u = z + -920640.93000084. Let j = u - 0.07. What is j rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 - -31. Suppose -k*z - 5 - 4 = 0. Let x(s) = s**3 + 7*s**2 + 2*s + 10. Let h be x(-7). Put z, h, 0 in descending order.\nAnswer: 0, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1377) + -2 + 2*sqrt(1377))**2 - (-6*sqrt(1377)*1)**2) + 0.\nAnswer: -37175 - 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 461668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2.587 times 23\nAnswer: -59.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-10)\/(-4))\/(5\/(-30)). Let y = h - 10. Let r = 47 + y. What is the least common multiple of r and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -7 + (13 - (-27 - -31)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 21)\/(((-98)\/490)\/((-3)\/(-15)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -1435*s - 2020. Let f be w(28). What is f rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.852069 - 17389464?\nAnswer: -17389465.852069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23322279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00026775 rounded to six dps?\nAnswer: 0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 - -39. Let y = d + -16. Which is greater: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {v: 4, u: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does -9793\/300 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 387412606 divided by -14.\nAnswer: -27672329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -497.7 + 34.7. Let w = f + 467. What is the second biggest value in 13, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -311011936*g. Let u(a) = 2*a. Give w(u(h)).\nAnswer: -622023872*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*4*sqrt(11)*-3*1)**2 - 6*(sqrt(176) - 3*(1*sqrt(176) + sqrt(176))**2).\nAnswer: -24*sqrt(11) + 26928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 5*m - 317, 2*m = 4*u - u + 119. Suppose 0 = -2*t - 5*h + m + 55, 2*t = h + 101. Let r = t - 37. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 98074 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-38 - -39) + 2\/2. Let i = -12 - -18. Solve 4*a = 4*d - 4, -i*a + 3*a + 2 = y*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 divided by -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 40007457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o*(o\/(o**(2\/9)*o))\/o)\/o**(5\/6))\/(o**(1\/4))**18)\/((o*o*o**(-1))**(-4\/21)*o\/(o*o**1)*o**(5\/6)*o) assuming o is positive.\nAnswer: o**(-529\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**3 - k**3 - 8*k**3)*(-3 + 2 + 0) + 2*k**3 + 2*k**3 - k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-1)*(l*l*l**0*l)\/l)\/(l**(2\/7))**5 assuming l is positive.\nAnswer: l**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 + (1 - (-9 + -8 + 15) - 6).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h. Suppose -6*k - 2*k = -k. Suppose k = -4*f + 4, 2*f - 53 = -5*t - f. What is l(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21562, -21546, -21528, -21514, -21510, -21522?\nAnswer: -21556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/3)\/(-2)*9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j + 9*j + 11*j - 5*j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(120\/(-18))*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 3:44 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -26, -57, -100?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 13472.1, 0.2, 43, -5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 177, 660, 1459, 2568, 3981?\n\"Answer: -p**3 + 164*p**2 - 2*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9899 + 68?\nAnswer: -9831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (28\/118)\/(-5 - -7). Let l be 14295\/354 - 2 - 0. Let g = h + l. Calculate the common denominator of -64\/9 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-75.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ann when three letters picked without replacement from {i: 9, n: 3, v: 1, a: 6}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 12*c + 20 - 13.\nAnswer: -12*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 31224 = 3*r, -3*r + 6*d = 2*d - 31245. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*v - 261 = 205, -5*k + 5*v + 1165 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (h + 0 + 0)*(h**2 + 0*h**2 + h**2) + (-2 + 2 - 2*h**2)*(-3 - 82*h + 90*h + 2) - 3*h**3 - h**3 + 3*h**3 in the form v*h**3 + i + b*h + g*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 3) + 10 + 4 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 0.07614768?\nAnswer: -0.3807384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 1:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6\/7, 2629, 2\/37?\nAnswer: 2629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1404 = 4*c - 16*c. Calculate the greatest common factor of c and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55277005 (base 8) in base 6?\nAnswer: -1102534033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 + a + 3. Suppose -j = j. Let k be c(j). Suppose -4 = -4*x, -3*o + 9 = o - k*x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m**2 + 2*m**2 - 4*m**2 - 5*m + 6*m - 2. Let d(h) = -5*h**2 + h - 3. Let w(q) = -5*q - 63. Let p be w(-12). Give p*d(v) + 4*n(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**3 + 13*i**2 - 16*i + 324. Give w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + (5 - 25) + (-109 - -92)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 380 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.051319 nanometers to millimeters.\nAnswer: 0.000005051319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 20160?\nAnswer: 20163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -611*q**2 - 607*q**2 - 611*q**2 + 1827*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 + 7*k**2 + 75*k**3 - 65*k**3.\nAnswer: 10*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/7 in 68, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -35498 * 2\nAnswer: -70996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.168 and -0.55.\nAnswer: -0.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 685.7 and 57008445.\nAnswer: 57009130.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29547283*f**2 + 137864972*f?\nAnswer: -59094566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 9 - 24 = 0. Let a(l) = 5*l**2 + 3*l + 3*l + 14*l**3 - 15*l**k - 4. Give a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 308781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 11*y**2 + 4*y - 2. Let h = 19 + -14. Let b(w) = -12*w**2 - 5*w + 2. Let i(n) = h*j(n) + 4*b(n). What is the derivative of i(c) wrt c?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -8\/13  (b) 10\/7  (c) 0  (d) 1.5  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 26  (b) 148  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6214 - -6216. What is the highest common factor of z and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 147027 (base 8) to base 9\nAnswer: 80331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(152)*1)\/sqrt(8)*1 + 0 + (sqrt(19) + -1 - sqrt(19))*-4 + sqrt(95)\/(sqrt(20)\/sqrt(4)))**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184*b - 2744825 + 244633 = 0. Are 13590 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 - 13*x**2 - 14*x - 9. Let h(g) = -3*g**3 + 26*g**2 + 29*g + 19. Let j(y) = -2*h(y) - 5*u(y). Is j(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50 + -45. Let v(m) = 10197*m + 15. Let t be v(h). What is t rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -107 by -2093.\nAnswer: 107\/2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11300 - -433?\nAnswer: -10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10176 - 10012. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2933?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -73*w**2 + 338*w + 471. Give d(6).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111001110100 (base 2) to base 16.\nAnswer: e74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of m**5\/120 + 5*m**4\/24 - 5*m**3\/3 - 2. Let t(g) be the third derivative of d(g). Calculate t(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = -14*j - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 67410 + 35590. Let o be (-2)\/(-14) - (w\/70)\/(-4). What is the greatest common factor of o and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - u + 15. Suppose -h - 2*z - 11 = -z, u*h = -3*z - 49. Let l be 2\/h - (-1701)\/84. What is the highest common divisor of l and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**4\/18 + 23*h**3\/9 - 8*h**2 - 6*h - 11. Determine z, given that d(z) = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(-1) + 231\/49)*42\/12. Determine o so that 6*o - a*o**3 - 6*o**4 + 14\/3*o**2 + 4\/3 = 0.\nAnswer: -1, -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11611727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b*s*y - 577*b*s - 2232*b - 43553188*s*y - 6*s with respect to y.\nAnswer: 2*b*s - 43553188*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of 4\/7*g**3 + 0 + 35*g + 0*g**2 + 26\/105*g**6 + 22\/21*g**4 + 11\/14*g**5 + 1\/49*g**7. What is j in x(j) = 0?\nAnswer: -6, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 658763 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -6040965*m**2. Let k(f) = -10*f**2. What is z(k(u))?\nAnswer: -604096500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*w - x + 240, 5*x = 0. Let q = 122 + w. Solve -q*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*p**2 + 5 + 2 - 1 - 4 + 43*p.\nAnswer: -18*p**2 + 43*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 19*m - 18*m. Let q be (-20)\/m*2*(0 - -12). Suppose 0 = -11*k - 25 + q. Calculate the remainder when 16 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 9*r + 1. Let i(z) = -10*z - 1. Calculate 6*g(n) + 5*i(n).\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -247924.\nAnswer: -1\/123962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20899, 21266, 21631, 21994, 22355, 22714?\nAnswer: 23071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 175204 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (33*80\/(-20))\/(-2*2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*u + 81 = 0, 0*u + 164 = 4*s + 4*u. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 558903413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*v, 5*v = -0*b + b - 10. Let s(n) be the third derivative of b - 1\/1140*n**6 + 0*n**3 - 13*n**2 + 2\/285*n**5 + 0*n - 1\/57*n**4. Factor s(r).\nAnswer: -2*r*(r - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 570?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from pqqqcaapnppqqqpcqn?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 160 + -4 - 216 - (2 + 0 + -11)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 20 = -x. Let g(l) = l**3 - 3*l**2 - 7*l. What is the units digit of g(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/20 - (-4614)\/24 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 332\/13  (b) 1  (c) 0.5  (d) 5  (e) -538  (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + 853138?\nAnswer: 85312c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m + 7 + 9*m + 0*m + 4*m.\nAnswer: 7*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -4 and -204 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 + 6*l + 4. Let o be w(-4). Suppose -23*q + 65 + 160 = 22*q. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58853220 divided by 29426610.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180985 is divided by 2748?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -5*s + 555, 6 + 111 = h + 4*s. Suppose -5*p - 4*q + h = -7, 3*p - 3*q = 48. What is the remainder when 38 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34669 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2\/9  (b) -2\/21  (c) -4  (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -991*r - 13*r = 29116 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 20811 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - v - 15, 4*v - 38 = -5*t + 6*v. Let r = -5 + t. Let k be (-1)\/((-3)\/(-16 - -1)). Which is the second smallest value?  (a) 0.2  (b) r  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**0*g*g)**(2\/75)*g**(-2\/21)*(g\/(g**(-5)*g)*g*g)\/g)\/((g*g**(-6)*g*g*g\/(g\/g**(-5))*g)\/(g**(2\/11)\/g*g\/(g*g**(-6))*g)) assuming g is positive.\nAnswer: g**(110687\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 18033580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9\/15)\/(14\/(-10)). Let v(g) = -g**3 - 4*g**2. Let p be v(-4). Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)\/sqrt(9) + 4 - sqrt(7) - (-2 + sqrt(7))*4.\nAnswer: -4*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, 0, 4, -318, 5, -76, -4 in ascending order.\nAnswer: -318, -76, -4, 0, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/5, 1\/6, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 7:50 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 3*c**7\/14 - c**5\/20 - 11*c**4\/6 - 7*c**3\/3 - 419*c**2 - c. What is the second derivative of b(i) wrt i?\nAnswer: 540*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*s + 25*s + 36*s - 85*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**13\/((y\/(y\/(y\/((((y**5\/y)\/y)\/y*y)\/y)))*y)\/y))\/(y**(-1))**(-2\/7) assuming y is positive.\nAnswer: y**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 + 3*x + 14. Let p be y(-3). Let i(d) = -d**3 - 3*d**2 - 2*d - 3. Give i(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1635\/14 + -117. Let l = -376 - -376.1. Which is greater: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**(5\/4)*v*v**(-2)*(v\/(v\/(v*(v*v\/v**(-1\/2)*v)\/v)))**(18\/5) assuming v is positive.\nAnswer: v**(277\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.03461+0\nAnswer: 0.03461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 108*c**2 + 141*c - 65. Is d(13) a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 7*n + 156 = 0. Let s be (-1 - n\/9)\/(1\/(-30900)). Round s to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, h: 5, m: 10}. Give prob of picking 1 t and 1 m.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 29?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*j**3 + 18*j**3 - 9*j**3)*(-291 - 767 + 99 + 4).\nAnswer: -22920*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-10))\/(46\/12650). What is the derivative of 16*c - 73*c - k - 102*c + 0*c wrt c?\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-3\/4))**(-21)*(((k*k**(-5\/2)*k)\/k)\/k)**(-31) assuming k is positive.\nAnswer: k**(163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -147 + 161. Let a be -1*t\/(-6) - (-34 + 37). Let u = 0.8 - -3.2. Put 0.3, u, -3, a in increasing order.\nAnswer: -3, a, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -806*w - 2. Let p(j) = j. Give u(p(t)).\nAnswer: -806*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 4 + (-3 - -8) + 120 + -125 - -69?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0053 - 0.1053. Which is smaller: b or 121.7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/7)\/s)**(-49)*s\/(s*s\/s**11)*s**0 assuming s is positive.\nAnswer: s**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -180950*l**3 - l**2 - 3061506*l.\nAnswer: -1085700*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 404 - 408. Let p be -10 - (-2255)\/22 - (-6)\/x. Is p equal to 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -4*m - 6. Suppose -15 = -5*r + 10. Let i(p) = 2*p**2 - 8*p + 2. Let l be i(r). Suppose -40 = 16*o - l*o. Let b(a) = a + 2. Determine o*b(t) - 3*g(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (33\/2)\/((-1)\/2). Let p = o + 27. What is the tens digit of 206\/4 + 3\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -13*n**2. Let y(k) = 2*k. Let g(b) = -2*b. Let i(j) = 7*g(j) + 6*y(j). Calculate d(i(l)).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (3000\/10)\/(-10)*10\/420*12\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 61 - 56. Suppose -5*b - 185 = -4*u, -2*u - 235 = -7*u + h*b. Suppose 0 = -z + 11*z - u. Calculate the remainder when 31 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 divided by -89?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -116425*d*o**3 - 20270*d*o + 2*d - 217*o**3 - o**2 + 2*o - 1 wrt o?\nAnswer: -698550*d*o - 1302*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29 - 103*z - 99*z + 222*z - 163 to the form s*z + c and give c.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3*r**3 + 17*r**2 + 4*r - 3. Let n(x) = x**3 + 5*x**2 + x - 1. Let v(a) = -2*l(a) + 7*n(a). Let i(f) = 2*f**2 - 2*f - 2. Give 5*i(j) - 10*v(j).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 22214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -29472\/8681?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98058 and 413284?\nAnswer: 73151268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 - 1522 = -2*x - 5*g, -g - 3349 = -4*x. Suppose w + 71 = -d + 483, 2*w - x = 4*d. List the prime factors of w.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s - 3. Let y(a) = -5*a + 6. What is 7*c(r) + 3*y(r)?\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 176 or 1390?\nAnswer: 1390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 + 60*s**2 - 11*s + 656. Let x be r(60). Which is the closest to x?  (a) -0.1  (b) -1\/14  (c) 1\/4  (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u + 8. Let h(l) be the third derivative of -l**4\/12 - 2*l**3 - 8*l**2. Let x(v) = 8*f(v) + 5*h(v). Let s = 10 - 5. What is x(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - q + 3*q)*((-q - 3*q + 5*q)*(2*q + 4*q - 4*q) - 7*q**2 - 14*q + 14*q) - 3 - q**3 + 3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 s when three letters picked without replacement from ssssssbssbss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 47*d = -8785. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/3*((-25)\/(300\/162) + -12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*f = 51*f + 5. Let x(w) = -9*w**2 + 3*w - 3. Let a(n) = -1 + 5*n - 17*n**2 - 3 - 1. Let l(q) = f*x(q) + 3*a(q). Let t(v) = -4*v**2. What is l(t(d))?\nAnswer: -96*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 50*(5 - 63\/14). List the prime factors of ((-1696)\/(-20))\/(10\/x).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3836296 - 1747567. Let t = -888729 + z. Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (14\/21 - 74\/12)*-158 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-140)\/(-18) - 8\/(-36). Let p be (3\/4)\/((-10)\/b + 1). Suppose 0 = -4*r - 0*r + 8. Put 5, r, p in descending order.\nAnswer: 5, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, -50, -150, -290, -470, -690, -950?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3417*s - 10665. What is the hundreds digit of p(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2119 - 2*q**2 + 3*q**2 + 3*q**2 - q**2 + 2*q - 2118. Calculate k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**2 - 288*h - 2086. Let k be p(-7). Let r(b) be the first derivative of -6\/5*b + k + 3\/2*b**2 - 3\/5*b**3. Suppose r(g) = 0. Calculate g.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 250359325, 250359324, 250359323, 250359322, 250359321, 250359320?\nAnswer: 250359319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, x: 6, v: 5, j: 5, d: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/4 + 13\/(-78) - 50\/(-3). Solve 16*d = 8*d - z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {q: 1, i: 4, g: 1, d: 6, z: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -133 (base 14) to base 10\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/15*20\/(-22))\/(800\/8800)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 - 8*l. Suppose -2*d - 105 = -89. Determine j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2767803507.\nAnswer: 3, 7, 17, 861439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-2)*(-7)\/(-1). Suppose 36 = -5*y + 5*q - 44, -2*y = 4*q + 14. Let c = b + y. Which is smaller: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(108)*2)**2 - sqrt(3)) + 5 + sqrt(12) + 5.\nAnswer: sqrt(3) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a - 2. Let d be p(-1). Let c(y) = -y. Let z(s) = -s + 1. Let u(j) = d*z(j) + 5*c(j). Calculate u(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10011011 + -11000?\nAnswer: 10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 9*m + 70. Calculate the least common multiple of 110 and k(9).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -423, -1746, -3955, -7056, -11055?\nAnswer: -15958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jxjclclxfxjfxcxf. Give prob of picking 1 x and 2 f.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 477 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/14)\/(230\/(-92) + 101\/42).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 39\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 541813183.\nAnswer: 181, 2993443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1779, 7089, 15933, 28317, 44247, 63729, 86769, 113373?\n\"Answer: u**3 + 1761*u**2 + 20*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.4  (b) -0.3  (c) 0.2  (d) 0.104  (e) -101  (f) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -16\/7, -2, 4, 2\/25 in decreasing order.\nAnswer: 4, 2\/25, -2, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.32?  (a) 4  (b) -3  (c) -19  (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (-3)\/6*2. Suppose i*t + 4 = -t. Let r(f) = -f**2 - 5*f - 4. Let d be r(t). Solve 0 = 5*l - 20, l + d = -2*z - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/(-6) - (-4)\/6. What is the common denominator of (4 - 308\/40) + m and -151\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45.13 - 45.03. Put -11.9, 0.2, 1, d, 4 in ascending order.\nAnswer: -11.9, d, 0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04*-6.025.\nAnswer: -0.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -720.45 + 716. Let a = z - -4.5. Which is bigger: -0.05 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1487 - 1486.9. Which is the third biggest value?  (a) 1  (b) -19  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -2552\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**2 - 6*r + 4. Let x(f) = -f - 5*f**2 + 3*f**2 + 7*f - 4. Let s = -11 - -6. Let a(m) = s*v(m) - 4*x(m). Let a(l) = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8940, 35732, 80378, 142878, 223232, 321440, 437502?\n\"Answer: 8927*k**2 + 11*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10002032 + 21212?\nAnswer: -3320220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 708696.4 minutes in nanoseconds?\nAnswer: 42521784000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 758424, 7 in descending order.\nAnswer: 758424, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.6 - -2.6. Let m = 2.114 + -0.114. What is the second smallest value in -3, g, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 15. Let c = v - 23. Let o be -3*2\/c*-94000. What is o rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 96 - 5*s - s**2 + s - 4*s + 39 + s to the form w*s + j*s**2 + i and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2 + 2 + 2*n + 2*n. Let d(s) = 5*s + 5. Let g be 6\/(-45) + 0 + (-73)\/15. What is g*d(t) + 6*k(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.36496 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -37070958 divided by 3?\nAnswer: -12356986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t + 5. Let s be a(-7). Let i = -26 + 14. Let n be ((-6)\/(-4))\/(s\/i). Solve -n*y - 8 = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -135074095 by 1589107.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/3 + 57*n**2 + 3249*n + 61731.\nAnswer: (n + 57)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -233253784?\nAnswer: -233253784.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 24631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 2)*(3 - 3 - 3*s**2) - s**2 + s**2 + s**2 - 5 + 5 - 6*s**2 + (3 - 2 + 0)*(-3 - 3*s**2 + 3).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 18*p - 24. Suppose 0 = -4*q + 8. Calculate the remainder when p is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 4:57 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**2 + 322*i - 216. Determine l(-108).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -45 and -15.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - 17. Which is greater: -2\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*b = 6*b - 90 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - 6*l + 4. Suppose 24 = -0*o - 4*o. Let g be f(o). Suppose -g*t - i - 4 = -5*t, -2*i = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 4*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*s**3 - 15*s**3 + 23820*s**2 - 23293*s**2)*(5 + 3 + 3) as f*s + b + c*s**3 + j*s**2 and give j.\nAnswer: 5797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9020 - -9020. Which is the third biggest value?  (a) 4  (b) 0.4  (c) s  (d) 0.049  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 540 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*l = 10. Suppose 0 = -4*z - 4, 0*h - 16 = -3*h + z. Solve 3*q + 2 - 11 = -l*j, -3*q = h*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1455 (base 11) to base 6.\nAnswer: -12403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*z**3 + 60*z**3 - 132*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -176786542 smaller than -176786543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 + 7*z**2 + 3*z. Let x be h(-6). Let f = -10 + x. Suppose -12 = -4*w + f. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 51.36*-5\nAnswer: -256.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffaqfaqqaqaflqakfa. Give prob of sequence kq.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iwwiwwwwwwww. Give prob of picking 2 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 548*p**5 + 2*p**3 + p**2 - 454*p + 2 wrt p?\nAnswer: 10960*p**3 + 12*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -19*a - 52. Let o be 1*a\/18 + 3340\/45. Suppose 40 = 2*w + f, -2*f - o = -3*w - 0*w. Calculate the lowest common multiple of 16 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000 (base 2) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pmypmpmmmmhy. Give prob of sequence php.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 5*l + 5*j, -28*l - 4*j = -26*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 7181051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -2) + -6 - (-9 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*((-105)\/6 + 3). Suppose 5*v - 15*v + 320 = 0. Find i, given that -19*i - v*i**2 - 25*i**3 - b*i**3 - 16*i**4 - 25*i**2 - 2*i**3 - 2 = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -h - 4, -6 = 3*h + 129*m - 132*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4046 = 235*i + 1226 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 185223834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -15. Let i = n - -2. Suppose -i*t = -2*t - 39. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 260348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -1 - (-70 - (-3 - 67)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9188.881 centuries to millennia.\nAnswer: 918.8881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -97*q + 95*q. Let x be 30 + q + (-4 - 1). Solve -6*g + x = -11*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1\/7, 5, 7.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -28\/17  (b) 0.51  (c) 2\/3  (d) -1\/6  (e) -3\/7  (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3625195\/7506924 - 28\/27199. What is the common denominator of s and 3\/23?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 87*b + b**3 - 5 - 50*b + 5*b**2 - 40*b. What is m(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1014018 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b + 12. Let z be h(-10). Let s(o) = -8*o**3 - 2*o**2 + o - 2. Let p be s(z). Let l = p + 139. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -0.3, 2, 2\/9.\nAnswer: -8, -0.3, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 656 + 61. What are the prime factors of h?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f - 2*f + 4*z - 18, -5*z + 30 = -5*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -327703*g**5 - 246431*g?\nAnswer: -6554060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 528.324 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -561e (base 15) to base 6\nAnswer: -220302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -57\/60955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*q = -45*q + 304 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 456 divide 2018313091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -32*t**2 + 5\/4*t**4 + 0*t + 73\/6*t**3 + 0. What is the derivative of n(j) wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 14*p - 7. Let n(z) = 15*z - 6. Let h(o) = -6*f(o) + 5*n(o). Let d be h(-7). Suppose -d = -m - 2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 8695565?\nAnswer: -3478226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -237 + 237 - 2*i - 2*i - i + 5*i - i + i + 18*i + (-5*i + 5*i - i)*(2 - 1 + 0).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(270\/40))\/((-2)\/9). Let a(r) = 5*r**g + 5 - 712*r**3 - 5*r - 4 + 713*r**3. Calculate a(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 1\/6  (c) -0.089  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25510?\nAnswer: 2, 5, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -53838, -53835, -53834, -53835?\n\"Answer: -c**2 + 6*c - 53843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1200)\/(-18))\/10*3\/2. Solve -2*t - 4*m = -y, 43 - 8 = -5*t + 2*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 136, 129, 126, 133, 156?\n\"Answer: i**3 - 4*i**2 - 2*i + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3806015 is divided by 138.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 6 - 4) + (-112)\/22 + 1\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 3)*(-16)\/180.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15934 - -5?\nAnswer: 15939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 14*w**2 + 23*w - 5. Determine t(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 + 7*t**2 + 7*t + 11. Let r be w(8). Let b(p) = -2*p - 2*p + r*p. Let c(l) = 3*l. Calculate b(c(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*6\/2*76\/(-171)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1\/168 + -251\/168. Suppose 229*i = 239*i. What is the nearest to 0.4 in g, i, -0.14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -668638 - 415?\nAnswer: -670154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/8 and (12\/(-1) + -1)*(-28)\/(-154).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 AM and 8:16 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2235.37 + 2278. Let r = t + -27.678. Let w = -15 + r. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6827056 take away -49?\nAnswer: 6827105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7390*i**3 - 3329*i**3 + 2969549*i - 2968665*i wrt i?\nAnswer: -64314*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 + 0)*(0*f**3 + 0*f**3 - 3*f**4) - f**3 - 29*f**4 - f**4 - 3*f**4 to j*f**4 + o + h*f**3 + t*f**2 + k*f and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9329 minus 77022?\nAnswer: -67693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13062, -12966, -12866, -12762, -12654, -12542, -12426?\nAnswer: -12306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (12 - 6 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 2. Let l be 0 + (26 - 3\/j). What is the first derivative of l - 40*p**2 - 15 - 2 wrt p?\nAnswer: -80*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 642040703 to the power of 1\/3, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1143600, -2287170, -3430740?\n\"Answer: -1143570*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 12*f**3 + 8*f**2 - 11*f - 8. Let a = -18 + 87. Let i(n) = a*n**2 + 2*n - 64*n**2 - 9*n + 2*n**3 + 6*n**3 - 5. Determine 5*h(b) - 8*i(b).\nAnswer: -4*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 1. Let d(g) = -60*g**3 - 45. Let f = 113 - 114. Let b(n) = f*d(n) + 2*k(n). Differentiate b(a) with respect to a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 13. Let o = l - -2.3. Let b = 1.1 - o. What is the second biggest value in 0.1, b, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 47898 and 262552.\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14509609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*u**2 + 724855*u + 10602782.\nAnswer: -14*u + 724855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95459*h + 47568*h + 47540*h + 15*h**3 - 2.\nAnswer: 15*h**3 - 351*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4407, -4452, -4529, -4644, -4803, -5012, -5277, -5604?\nAnswer: -5999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*r**3 - r + 0 + 0 + 33*r**3 in the form x*r**2 + m + i*r**3 + z*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 9 + 3. Let b = w + -8. Let h = -53\/91 + 3\/7. Is b > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (324\/(-18))\/18*(-1)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 - 2*i**3 - 1 - 2*i**2 + 4 - 1 in the form r*i**2 + j*i + f*i**3 + g and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -47531*t**4 - 42414 wrt t.\nAnswer: -190124*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -5*f**2\/2 + 21985*f - 96668045\/2 = 0.\nAnswer: 4397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 4:58 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzfvz. What is prob of sequence ft?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2 + 326*k + 3015.\nAnswer: -(k - 335)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 193 - 87. Let p = -128 + j. Is -20 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 13*x + 10. Let p be t(-10). Let v be 162\/8 - 15\/p. Let u(j) = -22 + 5*j + 2*j**2 + v - 3*j**2. Determine u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/138  (b) 4\/3  (c) -73  (d) -3\/8  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/4 + (-49)\/(-28). Solve j*f - 2 - 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 2 - 2)*(-18*s**2 - s**3 + 18*s**2)*(-11*s + 0*s - s).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3210113313 (base 4) to base 2\nAnswer: 11100100010111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 254059, 255073, 256087, 257101, 258115, 259129?\nAnswer: 260143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v**3 + 2*v**2 - 4*v. Let c(p) = -p**3 - 10*p**2 - p - 13. Let h be c(-10). Let n be w(h). What is the highest common divisor of n and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (11 + -12)) + (-6 - (-5 + -4)) + -83\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 17*p**2 + p - 14. Let u be h(17). Solve o + 2*o + u = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.132 in -5.5, 3, 2\/7, 34, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8301547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 11:45 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (41 - 44)*36267\/(-3).\nAnswer: 3, 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 - 12 = t + 5*n, 0 = 3*t + 5*n - 96. Suppose -4*f + 4 = 0, -f - 18 = -4*c + t. Calculate the remainder when 39 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q + 43. Let x be n(-10). Let m be 5225 - (-8)\/6*x\/(-2). Suppose 5*v = 2*s + m, 0*s = 4*v + 2*s - 4164. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*(-21)\/60)\/((-8)\/(-80)*-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 350309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.27599469 + 1.276. What is d rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218*r + 4635 = -203*r. Let c = 646 - r. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -5*i**5 + 1165*i**4 + 957215*i**3 + 104997695*i**2 - 105956070*i = 0.\nAnswer: -187, 0, 1, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and -49.3.\nAnswer: 542.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13158, -27227, -41296, -55365?\nAnswer: -69434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*d + 257 = -112*d. What are the prime factors of d?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 264.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 21 = 5*t, 2*t + 18 = -m. Let s be (-2)\/10 - m\/20. Is (-356)\/8*(-2)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 + 112*r**2 + 782*r - 277. Let q be c(-104). Solve 4928*x = q*x + 30 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + y + 12, -3*l + 2*l - 16 = 3*y. Let p(a) = -a - 5. Let z be p(l). Factor 1\/4*b**2 + 0*b + 1\/4*b**z - 1\/4*b**3 + 0 - 1\/4*b**4.\nAnswer: b**2*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8389569 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*x**4 - 920*x**3 + 920*x**3 - 17 wrt x.\nAnswer: -72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/3))**(1\/55)\/(g**(-3)\/g*(g**(1\/3)*g)\/g) assuming g is positive.\nAnswer: g**(604\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*p - 840 = -266*p. Solve 5 = s + 4*q, -p*s - 3*q - 15 = -7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 35114 and 39410 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/10*-5*-8. Let g be (-5)\/(-20) - 214\/h. Suppose 2*x - 164 = -x + j, 116 = 2*x - 4*j. Calculate the greatest common factor of g and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o**2 + 3*o**2 - o**2)*(6255 - 3989 - 3163) + 16*o**2 + 13*o**2 + 8*o**2 to the form b + j*o**2 + r*o and give j.\nAnswer: -1757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0256?  (a) -5  (b) -0.1  (c) -1\/4  (d) 1\/3  (e) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of g**2\/2 - 3*g + 4. Let i(x) = -x**3 - 3*x**2 + x - 1. Let q be i(-3). Calculate l(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t - 38. Let a be n(-16). Let i be (a\/(-4))\/(54\/720). What is the second derivative of -9*s**2 + i*s**2 - 13*s - 2*s wrt s?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7215782\/31 or 232767?\nAnswer: 232767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9260 + -3795. Suppose 0 = -26*o - z + 20389. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 56*l**3 - 2*l**2 + 2*l. Let d(j) = -281*j**3 + 10*j**2 - 11*j. What is 2*d(v) + 11*t(v)?\nAnswer: 54*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 6:27 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/270 and -51\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 722623*q + 7226333. Determine p(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1120 (base 3) to base 5.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 563648 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8948*q**3 - 3619353*q - 8886*q**3 + 3619351*q.\nAnswer: 62*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133 = -38*j - 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*q - 30, 0*q = n - 2*q - q - 3 + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 81 - 73 - (1 + 26) - -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 65 + -82. Let f(l) = 2*l**2 + 26*l + 11. List the prime factors of f(m).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of 5\/4*o**4 - 1 + 0*o**3 + 0*o**2 + o. Determine g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of 2*n**2 - 54 + 0*n + 2\/105*n**7 - 288*n**4 + 144\/5*n**5 - 6\/5*n**6 + 0*n**3. Factor u(h).\nAnswer: 4*h*(h - 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -964\/5 - -794421\/4120. Calculate the common denominator of x and -137\/24.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - 3a?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 201*p + 1622 + 1996 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 276 = 4*j + 35, -j = 2*d - 58. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -s**2\/2 - 52*s - 102 = 0.\nAnswer: -102, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -357*l**2 + 892848*l + 22509.\nAnswer: -3*(l - 2501)*(119*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -60986, -60963, -60934, -60899?\n\"Answer: 3*t**2 + 14*t - 61003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/((-38)\/(-760))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -110*h + 10420. Determine b(95).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(85)*-1)\/sqrt(5))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -22.1848 and -0.1?\nAnswer: 2.21848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s. Let v(u) = -u**2 - 20*u. What is -5*c(f) - v(f)?\nAnswer: f**2 + 25*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, c: 1, p: 5, d: 1, u: 1, r: 5}. Give prob of picking 1 d, 2 r, and 1 c.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 + 31 - 102 + 131*h + 29 + 28.\nAnswer: 131*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.421 - -0.049. Let k = 0.07 - h. Let o = 0 + 0.2. Which is the second smallest value?  (a) 1  (b) o  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 887*o**3 - 215 - o**2 - 213 + 428 - 3390*o**3.\nAnswer: -2503*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 2*l**2 - l + 4. Let v be d(3). Suppose 5*n = -q - v, 2 = 3*n + 3*q - 4. Sort -2, -1, n in descending order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*w**2 - 39*w**2 - 5*w**2 + (-113*w + 531*w + 203*w + (4 - 2*w - 4)*(-5 + 1 + 2))*(0 + 0 - w) in the form r + z*w + t*w**2 and give t.\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 83174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 755*y - 750*y - 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 + 6*y - 6. Let n(u) = -10*u**2 - 52*u + 58. Let m(s) = -20*s**2 - 105*s + 115. Let q(x) = -3*m(x) + 5*n(x). Determine 6*q(w) - 55*v(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -5*k + 88, 5*c - 3*c - 3*k = 27. Let l = -21 + c. Put -1, 4, l in decreasing order.\nAnswer: 4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 2 + 2)*(-90436*r - 7584*r**3 + 90436*r) as m*r**2 + w*r**3 + y*r + p and give w.\nAnswer: 15168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6a7b1 (base 14) to base 8.\nAnswer: 772607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of 0 + 4*k**2 + 29\/24*k**4 + 0*k + 0*k**3. Let t(y) = -3*y + 3071 + 2*y - 3071. Determine t(s(m)).\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 + -1 + 1)*10. Suppose g*a + 6004 = 31634. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -4*w - d - 11, 5*w + 60 = 5*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l - 1. Let g(m) = -17*m**2 + 2*m + 2 - 3 + 10*m**2 + 8*m**2 - 4. Give 6*d(a) - 2*g(a).\nAnswer: -2*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 16, -2, -7 in ascending order.\nAnswer: -7, -5, -2, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7354 = 3*j + 4*u + 1143, -u - 5668 = 2*j. What are the prime factors of ((-2)\/(-2))\/(11335\/j - -4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/80176 and -7\/44.\nAnswer: 881936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 152374 (base 9) to base 11.\nAnswer: 64381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((sqrt(99)\/(sqrt(27)\/(4*sqrt(9))))\/(sqrt(3) + sqrt(18)\/(sqrt(24)\/sqrt(4)) + sqrt(3) - sqrt(3) - sqrt(15)\/sqrt(20)))**2)*6.\nAnswer: 1390\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 344.3, 7 in decreasing order.\nAnswer: 344.3, 48, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/3 - 2683*d**2\/3 + 5363*d\/3 - 2681\/3.\nAnswer: (d - 2681)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 + -1.1. Suppose -20*a + 20 + 0 = 0. Let t be -8 - (-5 - a) - 2\/1. What is the second biggest value in 2, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 609 - 204 - 202 - 203 + 2*z**3 - 4*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.069769 - 131.061869. Let j = -312 + 441. Let p = h + j. Round p to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2 = -3*n. Let l = -244 + 258. Let i be ((-11)\/33 - 0)*(-6)\/l. Put i, n, -2\/15 in descending order.\nAnswer: n, i, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 95*j*l**2*s + 382*j*l*q + 2*j*q - 9*j*s + 2*j + 3*l**2*q*s - 2 wrt q?\nAnswer: 382*j*l + 2*j + 3*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 5. Suppose 5*a + 2*i - 1712 = 0, -3*i + 1199 = 4*a - 179. Is a\/k - (-14)\/63 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 217 - 208. Let h(c) = c**2 + 13*c - 26. Is 43 a factor of h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -402, -5, 0.\nAnswer: -402, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 207 = 8*a. Let n = 77 - a. Let z be -2 - (-2 - 0) - n. What is the greatest common divisor of z and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0  (b) 225  (c) -0.1  (d) -2\/9  (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 - 12\/(-9)*(-6)\/(-4). Suppose 5*u + 111 = o, -b*u + u + 192 = 2*o. Calculate the remainder when o is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**3 + 8*w**2 - 20*w = 0. What is w?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - v**2 + 2*v - 5. Let o(l) = -3*l**3 + 2*l**2 - 5*l + 14. Let c(g) = 3*o(g) + 8*r(g). Find i, given that c(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-319)\/11)\/(2001\/(-4899))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50150 - 5562 = -31*j + 5420. What is the greatest common factor of j and 680?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 4:04 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -31  (b) 1  (c) -2\/11  (d) -0.0272\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 - 16*n**2 - 240*n + 362. Calculate z(25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 300 + -121212?\nAnswer: -120412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 515194549 by -605399.\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 5*u - m - 24, -3*u + m - 46 = 0. Sort u, 2, 4 in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n. Let a be m(3). What is the third derivative of -d**6 + 3*d**6 + 3*d**2 - d**2 + 0*d**a wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1718309*h + 3436632*h - 1718306*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 + n + 81*n**2 + 0 + 7 + 6 as a*n + w + m*n**2 and give m.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4820530*g*v**2 + 4702*g - 5*v**2 - 1913 wrt v.\nAnswer: 9641060*g*v - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -401*l**4 - 17*l**3 + 17*l + 1482. Let v(u) = -134*u**4 - 6*u**3 + 6*u + 494. Let i(y) = -6*r(y) + 17*v(y). Find the first derivative of i(j) wrt j.\nAnswer: 512*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4633 - 4250. List the prime factors of i.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3872c3 - -c?\nAnswer: 3872d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-32)\/14 + 16\/56. What is the hundreds digit of 135 + -2 + m + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02623210107 + -549\nAnswer: -548.97376789893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.54 + -1.51. Suppose -2435*i + 36 = -2426*i. What is the second smallest value in i, x, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**2\/9 + 542*k\/9 - 1076\/9 = 0. Calculate k.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 23\/12909?\nAnswer: 23\/12909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -57*p**2 - 801*p - 20. What is the remainder when 2551 is divided by r(-14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 703, 689, 665, 625, 563?\n\"Answer: -m**3 + m**2 - 10*m + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(110) - sqrt(110)*2) - ((sqrt(110) - sqrt(110)*-1)*6 + sqrt(110)))\/(-2*(1*sqrt(20))\/sqrt(2)))**2.\nAnswer: 3179\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 2031210?\nAnswer: 2031204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - w - 3 + 1 - 15*w as h + n*w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j**13*j)**(-25))**(-21\/8))**15 assuming j is positive.\nAnswer: j**15750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/((-120)\/12) + 9*63\/(-513).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from szzzkzkzkkzkkzzzszz.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of d**6\/120 - 3*d**5\/20 - 77*d**4\/12 - 24*d**3 + 7*d**2 - 13. Factor s(r).\nAnswer: (r - 18)*(r + 1)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-9)*3*-3. Solve 0 = y*u + u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/149)\/m*m)\/m)\/m*m\/m**(-13)*m**13*m**13 assuming m is positive.\nAnswer: m**(5660\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w*w**(7\/4))\/((w*w**(-1\/7))\/w*w)*(w\/w**(-2\/7))**(-15) assuming w is positive.\nAnswer: w**(-431\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 13 = h, 5*a + 26 = -4613*h + 4615*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1904396 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 128.\nAnswer: 5\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 911836 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1094.9 - -1095. What is the closest to u in 5, 19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - 3*i - i)*(-96 + 5*i - i + 91).\nAnswer: 4*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 7*v**4\/3 + 304*v**3 - 104404*v**2\/3 + 58576*v + 19584 = 0?\nAnswer: -204, -2\/7, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 47 - 26. Let m = 1829 - 1818. What is the remainder when n is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 806166510.\nAnswer: 2, 3, 5, 673, 39929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**3 - 4 + 4 + (2*x - 3 + 3)*(0*x**2 + 4*x**2 - 3*x**2) - 4*x**3 + 2*x**3 + x**3 - x**3 + 0*x**3 - 2*x**3 + 2*x**2 - 2*x**2 - 2*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-6)*(814\/(-110) + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 - o**2 + 3*o - 3. Let q(g) = -g**3 + 2*g - 2. Let w(k) = -2*m(k) + 3*q(k). Let r be w(0). Suppose r = -4*i - 177 + 2069. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -148, -5, -336, -1 in decreasing order.\nAnswer: 13, -1, -5, -148, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -100.2 + 100.2. Which is the second smallest value?  (a) g  (b) 0.5  (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3782 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12414735 by -91961.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 30*f + 31*f - 39, 3*f - 74 = -2*o. Calculate the highest common divisor of 172 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 (base 7) in base 16?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 3, 1, -209, -3 in decreasing order.\nAnswer: 3, 1, 0, -3, -4, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-58))\/((-1507)\/(-349624))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - 13 - (0 - (1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39660 is divided by 848?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**0)**(-1\/18)\/(d**2)**(-22) assuming d is positive.\nAnswer: d**(791\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -5*v. Let z(k) = -10043592*k**2. Calculate z(a(i)).\nAnswer: -251089800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from tttztttzzzzt.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(76) - (-1 + sqrt(76) - sqrt(76))*-1 - -2*sqrt(76)*2 - (-1 + sqrt(76) + 1 + 2 + sqrt(76)*-2)))**2.\nAnswer: -648*sqrt(19) + 24705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 - 24. Let t = -6 - -10. What is the remainder when c is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 255003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 - 3\/1) + (-19)\/12. Let j(v) be the third derivative of 3*v**2 + 0*v + o*v**4 + 2\/3*v**3 - 7\/10*v**6 - 19\/30*v**5 + 0. Solve j(t) = 0.\nAnswer: -1\/2, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26 - (2 + (-28 - -13))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1607, 1785, 1887, 1913?\nAnswer: 1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3225*p = -3197*p - 392. What is the remainder when 61 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - 23*w**2 - 23*w - 12. Let r be v(24). Let a(n) = n**2 - 11*n - 8. Let d be a(r). Solve -c = 3*c - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 548520*v**2 + 2*v - 2 + 1 - 4*v - 2.\nAnswer: 548520*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 49, 395, 1229, 2761, 5201, 8759, 13645?\n\"Answer: 35*h**3 + 34*h**2 - h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -914 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1be2 (base 15) in base 8?\nAnswer: 13656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1373 >= -1373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 7.9. Let i = 5318.4 + -5949. Let y = 631 + i. Which is the nearest to n?  (a) -0.1  (b) y  (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1085, -1063, -1043, -1037, -1057, -1115, -1223, -1393?\nAnswer: -1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 211, 235, 275, 331, 403, 491?\n\"Answer: 8*i**2 + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 10898 = 10886 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*k = -136965, -3*p - 273687 - 137260 = k. Let z = p + 80981. Round z to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -63 - -123\/2. Suppose 5*z - 21 = 4. Which is the second smallest value?  (a) 0.02  (b) y  (c) z  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/((-14)\/16*4))\/((-58)\/116)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - 11*r**2 + 15*r + 26. Let x be c(9). Put x, 5, 3, -3 in descending order.\nAnswer: 5, 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p. Let s(a) = 9*a + 1. Suppose 4*w + o = -2*o - 25, -4*w + 2*o - 10 = 0. Let h(y) = w*s(y) + 7*x(y). List the prime factors of h(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10003131203 - 201?\nAnswer: -10003132010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 9\/((-36)\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 122, 771, 1878, 3449, 5490, 8007?\nAnswer: 11006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 51*k - 868. Let h be m(17). Which is smaller: h or 1767?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -18, 3, 8, -5, -13\/19?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 385589\/2888 + 40\/361. Let d = 134 - f. Is -1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/388930 and -58\/12985?\nAnswer: 1010051210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 287 - 285 - 95*m**2 + 1460*m**2 + 129*m**2 in the form u*m + d*m**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + -2672778036\nAnswer: -2672778035.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 != 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 2. Let j be d(-8). Let h = 41 + j. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*j + y + 17 = 0, -5*j - 5*y = 5. Let f(p) = 24*p**2 - 5. Let q be f(j). Suppose -3*c = -q + 142. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 - 12*k**2 + k**2 + (-4 + 4*k**2 + 4 + k)*(0 - 12 - 11) in the form l*k**2 + n + b*k and give l.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7639 + 12693. List the prime factors of q.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 5*l**3 + 181*l**2 - 3*l - 5. Let q(j) = 3*j**3 - 2*j**2 - j - 1. Calculate -f(y) + 3*q(y).\nAnswer: 4*y**3 - 187*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 15*j - 5. Let f be h(-13). Suppose c - 3*w + 0*w - 48 = 0, 4*w = 5*c - 218. Calculate the highest common divisor of f and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 1, v: 2, x: 1, y: 1, h: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p - 82. Let b(u) be the first derivative of -u**2 - 409. Calculate o(b(a)).\nAnswer: -2*a - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = p. Let d(n) be the second derivative of -n**3\/3 - n**2 + n. Let w be d(-3). Solve -m - 2*z - 10 = -0, -2*m + w*z + 20 = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -8\/85?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*w - 21 = 104*w. Let d be (w - -3) + (-24)\/3. Factor 36\/5*y**2 + d + 2\/5*y**4 - 16\/5*y**3 - 32\/5*y.\nAnswer: 2*(y - 5)*(y - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 5*w - 279735 = 0, -3*w - 165 + 180 = 0. What are the prime factors of v?\nAnswer: 2, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 9*y**2. Let d be p(1). Let a = d - 6. Solve 3*f = -12 - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -33222301322?\nAnswer: -33222301322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 7 = 8. Let i = -11 + l. Let o = -26 + 29. What is the remainder when i is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 192.6, 3\/2 in descending order.\nAnswer: 192.6, 3\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 AM and 3:41 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3, -8, -15 in increasing order.\nAnswer: -15, -8, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/7  (b) 1.04  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-8) + 2 + (-172)\/80.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 915 is divided by 174?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -6\/67, -1\/8, -0.15?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 114 from -230.1.\nAnswer: -344.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1135, 2351, 3567?\n\"Answer: 1216*r - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -76756 (base 9) in base 3?\nAnswer: -2120211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1373241 and 14696.\nAnswer: 120845208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 103*u**2 + 1. What are the prime factors of y(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r**2 - 5*r + 2. Suppose -4*y + 20 = 6*y. Let s be k(y). Suppose 7*b - 330 = s*b. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**4\/9 + 19143868*d**3\/9 - 3393405172008*d**2 + 1804526904208078800*d - 1804523510805033888.\nAnswer: -4*(d - 1595322)**3*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1039028 and 102724?\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + x**2 - x)*(8*x + 4 - 3*x - 5).\nAnswer: 5*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 19 = -n, 5*n - 3*a + a = 26. Suppose 10*z - n = 9*z. Solve -4*w - 3*x + 32 = 0, 36 = z*w + 3*x + x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 484\/27  (b) 0.4  (c) 3  (d) -1\/11  (e) -1  (f) -0.3  (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -55, 0, -3, -33, -1, -2 in ascending order.\nAnswer: -55, -33, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -30*u**2 - 9*u - 7. Let s(l) = -30*l**2 - 10*l - 7. Let d(z) = 3*s(z) - 4*t(z). Is d(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5065\/3 + -1683. Let c(i) be the third derivative of 0 - 28\/3*i**4 - x*i**3 + 7\/15*i**6 - i**2 - 32\/5*i**5 + 0*i + 7\/15*i**7. Find w such that c(w) = 0.\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2)*(q - 2*q**3 - q) - 1542*q + 812516 + 2*q**3 - 812516.\nAnswer: 6*q**3 - 1542*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14953 - -1?\nAnswer: -14952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1019 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 23948895?\nAnswer: -23948896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + v + 18 = -3*v, -g + v + 1 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 634587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2246338 to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from {e: 5, v: 8}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13172.\nAnswer: 2, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8646457\/55 - 775912\/5. Let q = p - 2030. Which is smaller: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49731 is divided by 473.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c5 (base 14) in base 13?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -t**7\/4200 + t**6\/1800 + t**5\/120 + t**4\/40 + t**3\/6 + 20*t. Let u(d) be the second derivative of n(d). Factor u(p).\nAnswer: -(p - 3)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -12 + 5 - (4 - (18 + -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oaog?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a + 1. Let w(j) = 6*j + 12. Let i(b) = 5*f(b) - w(b). Determine i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 6:04 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of -w**4\/3 + 7*w**3\/6 - w**2\/2 - 71*w. Let y(o) = 5*o**2 - 7*o. Let g(z) = 4*q(z) + 3*y(z). Calculate g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 830297393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 333 - -31?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-133 - -35)*1 + (-10 - -30)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/4*(-1815)\/605?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2241014 millimeters in kilometers?\nAnswer: 0.0000002241014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 55 + -72 - -92.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 22*s - 2*s**2 - 38*s - 4.\nAnswer: -2*s**2 - 16*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2315*b**2 + 11 - 23 + 1201*b**2 + 874*b**2 + 12.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3.32 * 9.349\nAnswer: 31.03868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -19\/566  (b) -0.038  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*b + 37*b**2 - 8125 + 8*b**2 + 8125 as s*b + u*b**2 + x and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/4*764\/(-2674)*(-68)\/(-6).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1286 + -0.0286. Let c(g) = 3*g. Let q be c(3). Sort q, u, 0.5 in descending order.\nAnswer: q, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196*f = -190*f + 1554. Let m = 783 + f. List the prime factors of m.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0115409055 to four decimal places.\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -2 - 55. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -13*d - 8. Calculate the remainder when b(-7) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - 4*q - q**2)*(-228 - 118*q + 475 - 253).\nAnswer: 118*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.17 + 8.83. Let c = 8.8 - v. Let t = -1 - -1. What is the nearest to 1\/2 in t, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2 - 14*t - 62. Let o(c) = -c**2 + 15*c + 63. Let k(u) = 2*g(u) + 3*o(u). Let l be k(-5). Solve -42*b + 43*b = -l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1973314 is divided by 986649.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -12 - 0 - (-13 - (10 + -9 - 18))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14.03 - 1.93. Let u = k - -61.9. Let f = u - 74.1. What is the nearest to f in 1, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(1700) + -4*(sqrt(1700) + 4) + sqrt(1700))**2.\nAnswer: 800*sqrt(17) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1877000 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qcd when three letters picked without replacement from cqccqccdqcqcq?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.0718 and 3517848.\nAnswer: 3517847.9282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4\/14 + ((-5084)\/1085)\/(-41)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 3. Let q(x) = -1. Let f(m) = -2*b(m) - 22*q(m). Suppose -g + 3*g = 0. What is the units digit of f(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -401 - -260. Let k = 151 - -71. Let g = f + k. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 75511 + -151021\/2. Let n be 21\/(-9) - -2*1. Let y = 2 + -1. What is the closest to j in y, 4\/37, n?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {h: 9, f: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 19, 7, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 191*n - 1. Let y(f) = -574*f + 3. What is 17*j(q) + 6*y(q)?\nAnswer: -197*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -640, -2628, -5940, -10576, -16536, -23820, -32428?\n\"Answer: -662*z**2 - 2*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47054 is divided by 15626?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -613.9775 + 628.7. Let u = l - 15.8. Let m = -1.1 - u. What is m rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192303 is divided by 1007.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 537496\/33 + -16286. Calculate the common denominator of n and -46\/87.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 72*j**2 - 258*j - 1032. Determine y(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-2))\/(3\/(-186)). Suppose -4*m + 2*z = -3*m + 3, -3*m = 4*z - x. Let q(d) = d**3 - 3*d**2 + 3*d + 2. Is q(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -416*n = 2199 + 2085 + 2372 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**5 - 4*u**5 + 3*u**5)*(-3 + 2 + 2)*(-3 + 8 + 2).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/9, -10584, 229 in decreasing order.\nAnswer: 229, -4\/9, -10584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3410 is divided by 481?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -110\/53 - -1316\/583. Which is the closest to -1?  (a) 3  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = -39*d - 56 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18 by 903.\nAnswer: -6\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 10. Let v be g(-7). Let c = v - -12. Which is bigger: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -20, -3, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 94 + 3?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2122\/143 + -148\/11. Let o = 117\/316 - -43783\/45188. Let g = y - o. Which is the third biggest value?  (a) -1  (b) g  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of 203*z**6\/15 + 67*z**3\/2 - 97*z - 2. Find the second derivative of m(u) wrt u.\nAnswer: 4872*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -467*l**2 + 24 + 3 + 6 + l**3 - 33 to the form r*l**3 + h*l + t*l**2 + b and give t.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 19*y**2 + 21*y - 16. Suppose -84 = -4*j + 10*o - 9*o, j = o + 24. Let l be n(j). Solve -24*x + l = -20*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20191 and 102941.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(204)\/((5*sqrt(48))\/sqrt(4)).\nAnswer: -4 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/22*6242\/6. Let n = -846\/11 - j. Find the common denominator of n and -52\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -0*l + l - 233, 5*w = -3*l - 1181. Let d = 514 + w. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.9 - 1.1. Suppose -5*c = -c + 4*d, 0 = c - d - 2. Let j be 1\/(-2)*-10*c. Put -1\/3, j, g in descending order.\nAnswer: j, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110 (base 4) in base 7?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 21, 27, 39, 57?\n\"Answer: 3*n**2 - 3*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 72933 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120*q**2 + 3*q + 2263 + 2225 + 2261 - 6749 - 3*q + 121*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -88.48376?\nAnswer: -87.48376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/2))**(4\/25)*(d**(-2)*d)**(-26))**(5\/4) assuming d is positive.\nAnswer: d**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -7*r**2 + 2*r - 1. Let s be l(1). Let v = 10 + s. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129693.\nAnswer: 3, 17, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -1. Suppose -4*a - i + 802 = -m*i, 3*i = -a + 197. Is (-1)\/(a\/67 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzrzzzbzzzzbzrrzc. Give prob of sequence zb.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 1. Let f be 23\/6 - 2\/(-12). Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 25\/(-10)*-4*(-5)\/(-2). Calculate the greatest common factor of 225 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 0.049?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -3, -4, 4 in descending order.\nAnswer: 6, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175755280.\nAnswer: 2, 5, 2196941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (-4 + 9 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3979000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwawwwaaw. What is prob of picking 2 a and 2 w?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(275)*2*-5)\/sqrt(5))\/(sqrt(11) + 6*sqrt(44) + sqrt(11) + -1*(sqrt(11) - sqrt(176))).\nAnswer: -60*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, k: 7, r: 5, d: 3}. What is prob of picking 3 w and 1 d?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -42.036\nAnswer: -126.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 4*f - 4*j + 282 = 0, -5*j - 282 = -2*f. What is the smallest common multiple of f and 21?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4728144?\nAnswer: 2, 3, 137, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*n + 121 - 81 = 0, 0 = -5*n + 5. Let c be 1\/3*3*(22 - o). Solve r = 5*r + c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 530190 = 2*r. Suppose y - 383270 - r = 0. Round y to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 63 - 30. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((1\/(-2))\/(48\/468))\/((-216)\/144)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 + -17.26. Let g = 1.74 - p. Put 4, 1\/7, g in ascending order.\nAnswer: 1\/7, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*c**2*k**2*m**3 - 20*c**2*k*m - 2*c**2*m**3 + c**2*m**2*q - c**2*m - 4*c*k**2 - k*m*q + 4*m**3*q wrt m.\nAnswer: 36*c**2*k**2 - 12*c**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, -1.12, 5, -47?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 146 - 138. What is the remainder when 11 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13723.14 + -0.3?\nAnswer: -13723.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 24833280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 5*c - 58 = 0, 5*p - 743 = c - 760 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q**2 + 6*q + 12. What is x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10081498.\nAnswer: 2, 7, 23, 131, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*i - i + 354 = 24*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of x**6\/6 + 2*x**5\/5 - 2*x**3\/3 - x**2\/2 + 22. Suppose q(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -93\/10, 2, -0.13, 5, 1, -22 in decreasing order.\nAnswer: 5, 2, 1, -0.13, -93\/10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005596624 to 5 decimal places.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -3*i - 131964, 4*i = -24 + 44. List the prime factors of n.\nAnswer: 29, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-17)\/34)\/(8\/(160\/135)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*i = 0, 3*h = -h + 5*i + 9. Let r = 0.027701 + -0.077701. Which is the nearest to h?  (a) -5\/3  (b) r  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddduuuu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 96 by -32.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 22. Let t = 10 - 6. Which is the closest to 1?  (a) 1\/7  (b) g  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2*k**2 + 3*k - 7. Let g be w(3). Let b(j) = -2*j**2 - 33*j - 9. Let l be b(g). What is the highest common factor of l and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10828474 is divided by 42970?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 206155.758 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -2*c - b, 8*c + 35*b - 66*b = -38*b + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 856623895 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 4)*(280*k**2 - 236*k**2 + k + k).\nAnswer: -88*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -133 - 0?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -109*t - 168*t**4 - 138*t + 187*t wrt t?\nAnswer: -2016*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1324, -1789, -2554, -3619, -4984?\nAnswer: -6649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-41)\/990*39\/2*-2. Let y = a + 5\/33. Find the common denominator of y and 53\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1160193 or -5800962\/5?\nAnswer: -5800962\/5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -20\/23, -0.1, -2\/7, 56?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -7396, -13711, -20024, -26335, -32644, -38951, -45256?\n\"Answer: u**2 - 6318*u - 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -301230 (base 4) to base 8.\nAnswer: -6154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(48) + sqrt(3) + sqrt(3) + -4)**2*-5*-5.\nAnswer: -300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14590 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*x**4 - x**4 + 0*x**4 + (2*x + 7 - 7)*(-x**3 - 11*x**3 + 3*x**3) to k*x**4 + p + g*x**3 + f*x + h*x**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-15)\/(-6)*(-3)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + (5 - 6))*(-2)\/(-8). Let g(b) be the first derivative of 3 + 10*b - x*b**2. Give g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2 - 4 + 102*z - 32*z.\nAnswer: 70*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93457.\nAnswer: 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 369 - 373. Which is the smallest value?  (a) 1  (b) 0.27  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o + 0*o = 2534. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 384 = 3*u, 5*y + 550 = -7*u + 11*u. Suppose 0 = 3*v - 3 - 114. Calculate the greatest common divisor of v and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 8) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -8*g**2 + 2. Let b(i) = 6*i**2 + 4*i + 4. Let o(x) = x**2 + x + 1. Let s = -28 + 9. Let l = s + 23. Let c(a) = l*o(a) - b(a). What is j(c(u))?\nAnswer: -32*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 - 11*h + 4. Let w(z) = 5*z**2 + 56*z - 19. Let k(o) = -11*n(o) - 2*w(o). Let p be 32\/(-3) - 2\/6. List the prime factors of k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -11*a + 98. Let c(b) = b**2 - 6*b + 9. What is c(a)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - 12*z - 10. Let w be q(-5). Suppose -w*i = -13*i - 96. Calculate the remainder when 142 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 12*j - 17*j. Suppose -4*t + 30 = 4*u - 2, 4*u + 2*t = 24. Suppose 8 - 32 = -u*x. Put -2, x, j in descending order.\nAnswer: x, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g - 12. Determine j(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -981.4*2453.\nAnswer: -2407374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 233*w - 6 = -231*w, 0 = 4*y + 2*w + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 642807 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -0.1, 2\/3, 1.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of y**7\/24 + y**6\/24 - y**5\/40 + 7*y. Factor l(j).\nAnswer: j**3*(j + 1)*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -8*r**3 + 9*r**2 + 39*r - 21. Is b(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 240856373 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 22 * 8724\nAnswer: 191928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -1) + -48 + 53 + -28\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 190 + -290. Let a = v - -101.79. Is -2\/3 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39 + 42. Suppose 3*w - o = -3*z, -2*z + 5 + 0 = -w. What is the smallest common multiple of 11 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 - 5*k**2 + 6*k + 2. Let r be x(-6). Let n be (-2 - (-7 + 1)) + -2. Let o = n + -2. Solve 2*p = 6, w - 2*p + r = -o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*f**3 + 9*f**3 - 9 + 5)*(15 - 3 - 109).\nAnswer: 194*f**3 + 388","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*r**3 - 9*r - 794 wrt r.\nAnswer: 72*r**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15300899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -22, 1128?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m**3 - 8*m**2 - 3. Let s be t(-4). Let w be 530\/(-65) - s - 6\/(-39). List the prime factors of (-2 - -6 - (w + 5)) + 175.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 326489.7809 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**3 - u**2 - 2*u - 3. Suppose -2*n = d - 3, -4*d + 0*d - n = -33. Suppose 4*y + d = 3*r, 4*r + 4 = 4*y + 16. Does 18 divide t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.09 + 5.09. Let u = 31.5 + -31. What is the closest to 2 in u, -0.3, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 564 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*q - 0*q. Let a = 173 + -1381\/8. Put a, q, -0.8 in descending order.\nAnswer: a, -0.8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6.7?  (a) -244  (b) 2\/5  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -582 = 2*k - n, -4*k = -9*k - 5*n - 1440. Round k to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3251844?\nAnswer: 2, 3, 59, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1119 - 624. Does 9 divide t\/110*((143 - -2) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 - 13*n + 2. Let q be z(13). Suppose 29 = q*l - w, 4*w + 1 + 19 = 2*l. Suppose 34 = 2*m + 4*a, -3*m - 3*a = -47 - l. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.04  (b) 0  (c) 240  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d**2. Let m(u) = -2*u. Let f(b) = b. Let y(v) = 6*f(v) - m(v). Determine j(y(l)).\nAnswer: 256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.04*-2.906\nAnswer: 0.11624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(225) + sqrt(225)*-1)\/sqrt(9))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 6 = 3*w. Suppose 0 = 8*d - d + 4*d. Suppose d = g - w*g + 30. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-36)\/(-10))\/(1755\/(-450) - (-3 + -1)). Solve -w*a + 40 = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6389.267 grams?\nAnswer: 6389267000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 1147*t + 5762. What is d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = h - 11, -2*h + 4*r - 5 = 3. Suppose h*a = 2*i + 4*a - 3864, -a - 5 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 902.4165 micrometers to centimeters.\nAnswer: 0.09024165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*h - 20 + 24*h + 20 + 10214*h**2.\nAnswer: 10214*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 19 in descending order.\nAnswer: 19, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13112312 (base 4) to base 10.\nAnswer: -30134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -16 - 3 - 0 - (816 - 803)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*h - 5*h + 45*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 6:34 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c + 543 + 129 = 0. Calculate the lowest common multiple of 8 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -31344?\nAnswer: 1\/31344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 PM and 8:43 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y**2 + 3977100*y + 1318110367500 = 0. What is y?\nAnswer: -662850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/(s*s\/s**(4\/7))))\/s**(-5)*(s\/s**(2\/11)*s)\/s**(2\/11))\/(s**(-6)\/s*s**(1\/3)*s)**(-2\/43) assuming s is positive.\nAnswer: s**(77491\/9933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 1515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -12 - ((-120)\/21 - (-7 - 51\/(-7)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6259.96141 + 6260. Round k to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 20798 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 19 = -3*s. Let b(m) = -m**3 + 3*m**2 + 3*m. Let k be b(3). Let z = k - 2. What is the remainder when s is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 90328080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 7 = -0. Let n = 12 - j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -95 + 95. Let m(u) = -3*u + 4*u - u + 9 - u**3. Let v be m(i). What is the highest common factor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -15*i - 17. Let n(j) = 0 - 7 - 2 - 8*j. Suppose -5*u = -5*d - 30, -42*u = -d - 38*u - 6. What is d*p(k) + 11*n(k)?\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 28626516203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 4*w**2 + 3*w + 4. Let t be (-1144)\/117 - 18\/81. Let n(c) = -c**3 + c**2 - c - 9. Let l be n(0). Let x be (-30)\/l*12\/t. Calculate v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + -14. Suppose -r*c - 12 + 67 = 0. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6139838524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1039912 = 151*z - 449069 + 163503. Is 133 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 641 = 43. Let m = -207 - g. Suppose -28*r = -27*r - 5*h - 25, 0 = 3*r - h - 47. Calculate the greatest common divisor of r and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 19*f**3 - 2*f**2 + 27632*f + 27632. Determine p(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -112 - -123. Calculate the remainder when -2*((-4098)\/27 - (-4)\/(-18)) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = z + 3. Let c(k) = -2*k + 14. Let b be c(z). Suppose -b*f = -21*f - 25. Calculate the least common multiple of 9 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r\/(r**(-1\/9)\/r)*r*r))\/(r**9\/r))\/(r**(-2\/3))**(-23) assuming r is positive.\nAnswer: r**(-247\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 22 - 56 = 0. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1296 bigger than -0.11479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0122 + -0.197. Let p = 142 - 142.19. Let d = q - p. Round d to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3 and 24490?\nAnswer: 24490.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6987549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 12. Let y = -1.1 + r. Which is the third smallest value?  (a) 5  (b) y  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 538166 is divided by 13447.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 + 3 - 2*f - 3)*(24*f**2 + 9*f - 9*f).\nAnswer: -48*f**4 - 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(3\/10)*s**(-9)*(s\/s**(4\/9))\/s**(-7))**(-29) assuming s is positive.\nAnswer: s**(377\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*k + 2128 = 80*k. Let s(n) = -3*n - 36. Let d(g) = g + 12. Let q(l) = -17*d(l) - 6*s(l). Calculate the smallest common multiple of q(-6) and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = h + h + 12, 0 = -3*q - h + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 36 + 5 = -3*l, -l = 3*m + 13. Solve -3*w = 3*c - 2*w + 14, 22 = -4*c + l*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 4:29 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 58*t**2 + 105*t - 11285.\nAnswer: 116*t + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(3\/(-85732)*(-1 - -5)). Suppose 0 = 38*t - 1329 - g. What are the prime factors of t?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126\/7*46\/3.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 14*t + 4. Let n be s(13). Let v = 11 + n. Solve 2*j = -4*x + 10, v*j + 3*x - 1 = 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 371\/8 + -49. Let j = 415\/152 + r. Is j greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-9)\/(99\/(-20)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7*k*l - 309*k + 6*l**4 wrt l.\nAnswer: 7*k + 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -773 - -1643\/2. Calculate the common denominator of ((-6)\/65)\/((-2)\/(-80)) and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 6*p**2 + 2*p - 9. Let g be n(6). Solve -4*o = -6*o - 3*d + 10, -g*o = -5*d - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 5*d - 409, -4*d = -2*r - 3*d + 201. Suppose 4*a = -5 - 3. Calculate the common denominator of 44 and r\/a*(-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*l**2 + 32*l**2 + 10*l**2)*(-1 + 13 - 3)*(0*l**3 + 5*l**3 - 3*l**3).\nAnswer: 972*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2 - 4*x + 1. Let p be i(1). Solve k + p = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2764 + 4041. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 95635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 21728, 43458, 65188?\n\"Answer: 21730*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 48, -6, -9, 5, 4, 3 in descending order.\nAnswer: 48, 5, 4, 3, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*q**5 + 20470123*q**3 + 7*q**2 + 928400*q + 1?\nAnswer: 120*q**2 + 122820738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -23*g**2 - 5*g + 5. Let r be a(1). Put -5, 2, r, -3 in ascending order.\nAnswer: r, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 11 + 4*s + 0*s**2 + 0*s**2 + s**2 + 5*s. List the prime factors of x(10).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 - -25. Calculate the remainder when 53 is divided by (-11 - j)*9\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/8 - (-1)\/(-2). Suppose -3*g + 20 = 4*d - g, x = 4*d + 3*g - 22. Calculate the greatest common divisor of d and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 0, -6, 1954 in increasing order.\nAnswer: -6, -2, 0, 2, 1954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 28*s**2 - 153*s + 4918. What is h(27)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 - 12*w - 34. Calculate v(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**3 - j**2 + j - 5. Give z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(1\/25)*s*s**(1\/4)*s*(s\/(s\/s**(2\/25)))**(3\/16))**36 assuming s is positive.\nAnswer: s**(1161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/378 and 133\/306.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j + 1 - 4*j - 5 + 7*j. Let t(q) = -5*q + 5. Let p be ((-2)\/2)\/(4\/(-28)). Let r be (-4)\/(-14) - 23\/p. Give r*n(a) - 2*t(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + 9*o + 2. Give d(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 875680 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + s = 32, 2*i = 5*s + 4 + 6. Calculate the least common multiple of i and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n + 2 - 2 + (-4 + 4 + 2*n)*(1 + 4 - 4) + 0 + 2*n + 0 - 1 + 0*n + n + 0*n - 22*n - 33 + 33.\nAnswer: -15*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -61498 and -62155 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (((-1*sqrt(2176) - sqrt(2176)) + sqrt(2176) - sqrt(2176))*4)\/(sqrt(6)\/sqrt(3)*6 - ((sqrt(22)\/sqrt(44) - sqrt(2)) + sqrt(2))))*-2.\nAnswer: 6 + 256*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 3*m = 20. Let f be m\/6 - (-50)\/15. Does 26 divide 1\/f - 143\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.2  (b) -6\/13  (c) -2  (d) 14\/9  (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o + 19. Let k be g(32). Sort 0, k, 3.\nAnswer: k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 271480 divided by -67870.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*a - 35*a = -39*a - 640 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13\/1 + 18\/(-6))\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1265491415 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14262 is divided by 129.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -840?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.397 - 0.017. Let a = -3.62 - c. Let n = -0.78 - 6.22. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3066, -2698, -2000, -972?\n\"Answer: 165*c**2 - 127*c - 3104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 divided by -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 6591.375mg?\nAnswer: 0.000006591375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 7. Suppose t - k*t + 48 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 2*o - 11. Let s(k) = k**2 - k - 6. Let l(d) = -3*b(d) + 5*s(d). Let i(f) = -3*f**2 - f. Let y be i(1). Is l(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1088?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 19, 6, 2\/22131, 2\/19?\nAnswer: 2\/22131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2143 greater than or equal to 491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 0*p + 2 = 4*p, 2*d + p + 3 = 0. Let a be 7 - -2*3\/d. Let q(r) = r**2 + 3. Let v(o) = o**2 + 4. Calculate a*q(m) - 3*v(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/162 and 37\/14067?\nAnswer: 84402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 24 + 6 = 0. Let o be j*(-3)\/(-18)*-2. Suppose 4*a = o*a + 8. What is the least common multiple of 6 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - 127. Let r = -76 - z. What is r rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -25*l. Let n(u) = -8*u**2 + 6*u. Let r(j) = 7*j**2 - 5*j. Let v(z) = -5*n(z) - 6*r(z). What is v(w(k))?\nAnswer: -1250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n**2 - 318*n - 2 + 8*n + 4*n**2.\nAnswer: 4*n**2 - 310*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -3*b + 10858, 17*b = 14*b + 3*a + 10893. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 861*x**2 - 870*x**2 - 2470 + 2470.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*o**5\/15 + 8422*o**4\/15 - 9674*o**3\/5 + 726*o**2 = 0. What is o?\nAnswer: -605, 0, 3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 greater than -994.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 174 divided by 87\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aakmkadadd. What is prob of sequence adkd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1003233313 (base 5) to base 8\nAnswer: -7523007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-2))\/1*(-1185)\/(-237).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (0 - ((-52)\/(-12) + -4))*-411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 89484222 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2856 and 5304.\nAnswer: 37128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(88)*4 + sqrt(88) + (sqrt(88) - (2*sqrt(88)*4 + sqrt(88))) + sqrt(88))\/((sqrt(96) + sqrt(96)*2)\/sqrt(12) - (-1*sqrt(32))\/sqrt(4)))**2.\nAnswer: 1331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-2)\/60)*(232\/(-16) - -14)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g - g + 3*g + (-4 + 4 + 2*g)*(0 + 2 - 4) - g + 0*g + 0*g + 2 - 2 - 6*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94335 divided by -6289.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 444419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 968084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 4*n + 14, 5*n = 4*i - 5*i - 7. Let u(g) = 12*g**2 - 11*g - 11. Let s(w) = -2*w - w**2 + 0*w**2 + 2*w + w + 1. Calculate i*u(t) - 22*s(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**2 + 12*w + 14. Let n be l(7). Suppose -t + 277 + 21 = n. Suppose 4*h = -74 + t. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - k = 6, -k - 10 = -5*o - 0*k. What is the closest to 2\/5 in 0.2, o, -36\/7, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 9*j + 67. Is 11 a factor of o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.4?  (a) 0.366  (b) 6  (c) -0.5  (d) -0.3  (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 7. Let o be (-102)\/(-9) - w\/(-9). Let h = -3 + o. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -29.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*q - 3*f - 26023 = -110*q, -5*q = -4*f - 26019. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - p + p)*(-1 + 1 + p) + (-11*p + 3*p + 0*p)*(2*p - 4*p + 3*p) + 1 - 1 + p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 5, -14, 51.3, 0, -700 in increasing order.\nAnswer: -700, -14, 0, 1\/3, 5, 51.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 103162 divided by 1\nAnswer: 103162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216395.\nAnswer: 5, 113, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2949527 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + k + 2*k + 47 = 0, k = -3. Suppose v - 4*d = 8, 0 = -12*v + 13*v + 4*d - 40. Solve b - v = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t**3 + t**2 - 1. Let n(y) = 11*y**3 + 7*y**2 - 4*y + 7. Let m(q) = 5*j(q) + n(q). Let s be m(-12). What is the highest common divisor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 0.1  (b) 2  (c) 5  (d) -3\/28  (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*k + 57*k - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11548 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4*v = 2*f - 4, 0 = -2*v + f - 2. Let z be 1 + 5 + -2 + v. Suppose -z*i - 28 = -8*i. Solve 3*b = 12, -5*d = -2*b + 1 + i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*s + 722 + 549 = -1487 + 518 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, m: 3}. Give prob of sequence mv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m = 15*m + 14. Suppose -2*f + 110 = 2*f - 5*c, -5*f + 2*c = -129. Calculate the remainder when f is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -163*q**2 + 2. Let d be u(2). Find the common denominator of d\/(-396) - (-6)\/27 and 127\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 9*f**2 - f + 7. Let d be y(3). Let k be (-26)\/(-8) + 2\/(-8). Suppose -k*o - 3*o + 102 = 0. What is the greatest common divisor of o and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 16 = 10*g. Solve 0 = -g*n - n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7139 - 1.\nAnswer: -7140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*d**2 + 16*d - 19*d**2 + 23*d**2 wrt d.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -135055695737.9 and -0.5.\nAnswer: -135055695738.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -q**6\/180 + q**4\/24 - q**3\/2 - 2*q**2. Let h(p) be the first derivative of c(p). Differentiate h(z) with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9254.\nAnswer: 2, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.834 + 0.434. Let j = 17 - 18.8. Put -2, x, j in increasing order.\nAnswer: -2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4481 divide 813677904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.1730921 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2\/43, -0.3 in decreasing order.\nAnswer: -2\/43, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 6*p - 2*p**3 - 14*p + 8 + 3*p**3 + 6*p**2. Let u be c(-7). Suppose -b = -u + 9. What is the highest common factor of 24 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 6 = 5*w, -3*w - 4*m + 12 = -m. Let t(x) = 0*x**2 - x**3 + x**2 + 2*x + x - 1. What is the remainder when 1 is divided by t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 794565976.\nAnswer: 2, 99320747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 8*w**2 + 216*w - 720. Let c(h) = 9*h**2 + 214*h - 723. Let x(s) = -6*c(s) + 7*y(s). Factor x(r).\nAnswer: 2*(r - 3)*(r + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -168, 209, 1258, 3315, 6716, 11797, 18894, 28343?\nAnswer: 40480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4.9 and 6.4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 1. Let z = -6 + 3. Let v be r(z). Suppose 33 = v*q - 39. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*n**3 - 834979940*n**2 + 21787234590070096*n - 10893617086290064.\nAnswer: 4*(n - 52186246)**2*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204) + -1*(sqrt(204) + (2*sqrt(204) - sqrt(204))) - 6*(sqrt(204) - (sqrt(204)*1 + sqrt(204))))\/((sqrt(300) - 1*sqrt(300)) + 2*sqrt(12)*3).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/3 + 106\/3. Let t(m) = 11*m - 10. Let a be t(2). Calculate the greatest common divisor of i and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/2 + 1\/(3\/(30\/5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 468000 = 4*k, -2*k - 3*k - 117000 = -x. What is x rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 49287743.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7759293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 2:46 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 3, 29, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 82, -5, 4 in descending order.\nAnswer: 82, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -10*q - 2. Determine l(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6 + 3 - (-3 - 0). Let l be 1\/(1\/2 - b). Let j be (-61)\/(-2) - 1\/l. Solve 0 = -4*s - s + x - j, 5*x - 10 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 132 and 18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 24 = 48. Suppose -t = -11*q - 8. Solve 3*m - 9 = i, -m + 4*m - 4*i = q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 2093729.8062 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g - 4. Let h(i) be the third derivative of i**3\/3 + 8*i**2. Let f(y) = -4*h(y) - 2*q(y). Let j(d) = 7*d - 1. Give f(j(l)).\nAnswer: 14*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3100.143 millilitres in litres?\nAnswer: 3.100143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*w - 396 + 378 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -32*j + 264, 103 = -4*i - 4*j + 99 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 26 = 4*i, -4*w + 3*i - 23 = -0*i. Let j be 2\/(-4)*w + -4. Let l be (-16)\/42 - 2\/j. Is l greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.128 + 5.128. Let h = 0.45 + 6.55. Sort x, -2, h in descending order.\nAnswer: h, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from ggglggggllgwgllggllg.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.2 - -2. What is the second biggest value in 2, 2\/3, l, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36 - 16. Suppose -v + b = v. Suppose -29 = -2*p - 5*o, 2*p + 3*o - v = 9. Solve 2*r + 0*r = 3*z - 11, z - 5 = p*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (280\/(-15))\/((-2)\/6). Suppose -n = -6*n + 40. What is the greatest common factor of f and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 1 = 3*s. Let i be (-1)\/(-3)*4 - s. Find q, given that -i*q + 0*q**3 + 0 + 2\/3*q**2 - 2\/3*q**4 + 1\/3*q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4)*n*(n\/(n*n**(3\/10)))\/n)**17\/((n\/(n*n\/n**(-3\/5)))\/n*((n**3\/n)\/n)\/n*((n\/(n**(2\/11)*n*n))\/n*n)\/n**(-2)) assuming n is positive.\nAnswer: n**(-1569\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 18882, 5, -1, 4 in increasing order.\nAnswer: -1, 0, 4, 5, 18882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 533, 2106, 4715, 8360, 13041?\nAnswer: 18758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/125 or -1?\nAnswer: -3\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -158158.03 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -164a5 (base 11) in base 14?\nAnswer: -8670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**26*m\/m**9 assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 69\/4 + -475\/28. Let a = -10 + 10.03. Let d = a + 1.97. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-463 - 8)\/(9 - (-130)\/(-15)). Do c and -1416 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*((2 + 0 + 1)*(-f + f - 2*f**2) + (-8*f - 13*f + 7*f)*(-5*f + f + 6*f) - 4*f**2 - 3*f**2 + 4*f**2).\nAnswer: -74*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 7 = 2*f + 3*t, 5*f + 5 = -5*t. Let c(a) = -a - 3*a**2 + 2*a**f + a + 1. Let l(r) = 5*r**2 - r - 5. Determine 3*c(h) + l(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -230116*l**3 + 115054*l**3 + 115060*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 5*s = 16 - 1, -2*n = -4*s + 24. What is the thousands digit of n\/(-4*7\/16478)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/790 and -97\/2070.\nAnswer: 163530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*p = -323*p - 757*p + 8960 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1432879 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 140*i + 0*i**2 - 41573 + 41573 - i**2 as u + n*i**2 + q*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + 3*p**2 + p + 1. Let c = 14 - 25. Suppose -5*i = -0*y + 5*y - 35, -y - 3*i = -5. Let l = y + c. Determine z(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**3 - 5. Let c(b) be the third derivative of b**6\/120 - b**3\/6 - 32*b**2. Determine -5*c(v) + o(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -122 - 118 + 2*k**2 + 0*k**2 - 125 - 99*k**3 + 367 in the form s + r*k**3 + o*k + j*k**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -89815, -179656, -269497, -359338, -449179, -539020?\nAnswer: -628861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 > -2438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**4 - 4*i**4 + 0*i**4)*(-1 + 3 - 1 + (-2 - 1 + 1)*(-3 + 4 - 2) + 2 - 3 - 1).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 7) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 4*(2\/(-1))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 145 = -3*u, 3*c + 2*u = 3*u + 105. What is the highest common factor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -1917.\nAnswer: 2\/1917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14734 > 14740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of x**4 - 3*x**3\/2 - 3*x**2\/2 - 13*x. Let r(j) = 0. Calculate j.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339 is divided by 159.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5927996.\nAnswer: 2, 1481999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1504\/2759 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-2 - -13) + (-7 + 14 - 13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -26?  (a) 3  (b) -3  (c) -2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/12 - (-63)\/((-26460)\/350).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -z**4\/24 + 11*z**3\/2 - 33085*z**2. Suppose -2*n = 8, 2*k + 0*k = -3*n + 26. What is o(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2 - v - 1. Let f be k(2). Suppose -5*u = -f - 0. Let x = 11 - u. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33.1 - 156.9. Let w = 188.77 + o. Let y = -0.43 - w. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.4 + 5. Let l = 1081 - 2161\/2. Which is the nearest to l?  (a) p  (b) -6  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(13) - ((sqrt(52))**2 + 3 - sqrt(13))).\nAnswer: -10*sqrt(13) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 2201 + 3*m - 3*m - 2201. Let w(c) = 16*c + 19*c - 25*c. What is g(w(u))?\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3825543?\nAnswer: 3, 197, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -128533, -130578, -133985, -138754, -144885?\nAnswer: -152378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(6\/18)\/((-2)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -500, 0, 5, -1 in ascending order.\nAnswer: -500, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/25 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007371481585 rounded to six decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1768*j + 2233*j = -681*j - 495*j + 15531 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 7:15 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-65)\/(-25) - 1)*(-65)\/(-26). Solve -3*f - 5 - 8 = 4*r, -o*f = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - q = -1, 2*v - v = 2*q + 3. Solve -2*z = l + v - 7, 4 = 2*l + 2*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(48) - (1 + -1*sqrt(48)) - (0 + sqrt(768))**2).\nAnswer: -3076 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 4*y + 29, 2*y - 13 = 19*v - 22*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 348 + -355. Is -2 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*(0 - 6\/4). Let n = j + 6. Suppose -5*s + n*p = 4*p - 271, 0 = -4*s + 2*p + 228. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3*q**2 + 13*q - 22. Let z(y) = y**2 - y + 6. Let a(r) = n(r) + 2*z(r). What is a(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7\/(-2)*2*-1*-1. Let c(f) = -f**2 - 10*f - 20. Let a be c(n). Suppose 0 = -3*p - 9, o + p = a - 2. Solve -q = -o*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/2 and -71\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 7:51 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 100178 and 78598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204615.\nAnswer: 3, 5, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**4 - i**3 + i**3 + 3*i - i**4 - 3*i + (-i**3 + 0 + 0)*(2*i + 2 - 2) + 3*i**4 - 5*i**4 + i**4 - 1 + i**4 + 1.\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 70*j - 19*j + 58*j + 3*j - 6*j + 2*j + 0*j + 6*j - 4*j + (-2 + 2 + 2)*(-j + 3*j - j) - 3*j + j + 3*j + 2*j + 4 - 4.\nAnswer: 115*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 38041483969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 24 = -6*d, 5*d + 14 = 5*g + 44 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1428828\/60 + (-16)\/(-20)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 982060 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3426 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -1950?\nAnswer: -1\/975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -9.1 + 0.02311\nAnswer: -9.07689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**2 + 30*y + 68 = 0?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2957765m to centimeters.\nAnswer: 29.57765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 976 divide 1733373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6620*y - 85753 + 582253 = 0 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2150902087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3233*f = 2*o + 3229*f - 28, -5*f - 41 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -3*c + 4. Let g be v(0). Let j be g\/(-6) - 48\/(-36). Is j at least as big as 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 8*l**2 - 41*l + 7. Let f be w(6). What is the greatest common divisor of f and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1640 + 1641.7. Which is the nearest to -1?  (a) l  (b) -0.1  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/5  (b) -61.89  (c) 0.4  (d) 34  (e) 308\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*n + 34*n - 6 + 6 to l*n + k and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 8*j = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 67901844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - -3)\/4*1. Suppose p = -s + 5. Solve 6 = 3*i - p*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 869445 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -e (base 16) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33 + -37. Which is the fourth biggest value?  (a) 4  (b) n  (c) 0  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (74\/12 - 9) + (-1)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by -784888.\nAnswer: -3\/392444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of 3*u**4\/4 - u**3\/6 + 17*u**2 - 76*u. Differentiate t(f) with respect to f.\nAnswer: 18*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5600 and 73.\nAnswer: 408800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 2387\/5, 34 in ascending order.\nAnswer: -11, 34, 2387\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4759 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/5 or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 11*a**2 + 13*a + 7. Give i(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 80 or 557\/7?\nAnswer: 557\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 40*u**2 + 1355*u + 54390. Calculate d(-39).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 541894104?\nAnswer: 2, 3, 2508769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*u - 59*u. Solve 1 + 2 = -3*l, u = x - 3*l + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from amamebmaeeaea. Give prob of sequence mm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.233849km in meters?\nAnswer: 4233.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -648 + -833?\nAnswer: -1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -3607.7 - 10767?\nAnswer: -14374.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 315 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5370*s**2 - 48313895*s - 44985 = 0.\nAnswer: -8997, -1\/1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 - -41. Let y = -16 + 34. Let m be 2\/y - (-3458)\/63. What is the greatest common factor of m and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-18)*(-3807)\/(-2820)*(-55)\/(-198)*7.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (86\/344)\/((-2)\/8). Which is the third smallest value?  (a) -43  (b) 0.5  (c) y  (d) 2\/23  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c - 9*c - 7*c - 4*c to the form u*c + k and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v**2 - 39662176*v + 39662172 = 0. Calculate v.\nAnswer: 1, 9915543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 1872*l - 67408. Calculate y(36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k**2. Let l(j) = 11*j**2 + 9. Let r(h) = -h**2 - 1. Let z(w) = -2*l(w) - 18*r(w). Determine f(z(n)).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2\/7*a + 2\/7*a**3 + 0 + 0*a**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -46*s**3 - s**2 - s + 1. Let u be n(1). Let x = -60 - u. Let f = 2234\/7 + -11597\/35. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.2727 take away 436622.73?\nAnswer: -436618.4573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9739*w = -545474 + 128883 - 391746 for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8985, -3, 4.\nAnswer: -8985, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71074, 69823, 68572, 67321, 66070, 64819?\nAnswer: 63568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 30 = 3*j, -4*x + 3*j + 34 = 2*j. Solve -23*t - x = -25*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 235.4937 minutes to hours.\nAnswer: 3.924895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-99)\/9)\/(-11)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 100071 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -106*h**2 + 180*h**2 + 77*h**2 + 142*h**2 to d*h**2 + y*h + c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*p**3 + 178*p**2 + 975*p - 450 = 0. Calculate p.\nAnswer: -5, 3\/7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**2\/4 + 3439*p\/2 + 184977\/4 = 0.\nAnswer: -6851, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**4*q*q*q**(-3)\/q*(q\/q**4)\/q**(2\/21))\/((q**(1\/3)*q)\/q**(-7))**(-2) assuming q is positive.\nAnswer: q**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*h**2 + 24*h**2 + 12*h**2 + (4*h**2 - h**2 + 3*h**2)*(0 + 0 + 1).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 253 - 244. Solve 2*c - c + x = -7, -2*x - j = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9014984, -18029968, -27044952?\nAnswer: -36059936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - -3001?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 11 = b + y, 2*b + y - 19 = 0. Solve 4*o**3 - 5*o**2 - 16*o**3 + 31*o**2 - 24*o + 2*o**4 + b + 0*o**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3 + 0.4. Let k = -0.2 - 0.8. What is the third biggest value in r, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -191 + 184. Let n(p) = -254*p**3 + 12*p**2 - 11*p + 13. Let s be n(y). What is s rounded to the nearest 1000?\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 2  (b) 0.5  (c) 300492  (d) 4  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 2*x - 4*x)*(0 - 3 + 5) - 7*x + 0*x + 6*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41)\/((-41)\/4) + (-14)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/3 + 217\/(-21). Let l = f + 25. Solve -l = -3*p, -4*y - p + 2*p = 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 91028.1 litres?\nAnswer: 91028100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.095 and -22.\nAnswer: 112.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or 1147?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -4*k + 4. What is n(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40 - -42. Suppose -49 = -3*x - 2*w, 2*x - w + r*w - 33 = 0. Let d = 22 - x. Solve 0 = -2*y - 4*n - 14, -d*n - 41 = -y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/10 and -19\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(125)*-2)**2 - -3*sqrt(320).\nAnswer: 24*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 5*g - 6. Let i(y) = -y - 1. Suppose 1553*x + 5 = 1558*x. Determine x*t(j) - 5*i(j).\nAnswer: 10*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 14*m**2 - 11*m + 5. Let l be b(-5). Let u = l - 376. Is u at most as big as 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 525 and 36620?\nAnswer: 3845100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-180)\/(-198) + (-2)\/(-22). Let v be ((-48)\/720)\/(1*f\/(-6)). Which is the closest to v?  (a) -2  (b) -4\/7  (c) 5  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139.594 less than -1.766?\nAnswer: -141.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -27*t - 2. Suppose 4*j - 643 = -647. Calculate k(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6217 - -6328. Solve 125*c = n*c - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 3:33 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -8*c**5 + 8*c**4 - 122*c. Let s(h) = -4*h**5 + 4*h**4 - 62*h. Let j(k) = 4*f(k) - 10*s(k). What is the second derivative of j(n) wrt n?\nAnswer: 160*n**3 - 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 3*x = -3 + 24, 10 = -2*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {q: 1, a: 4, h: 5, l: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 66 + -63. Let l(f) = 2*f + 1. What is l(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115956626243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 218035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*h - 7. Suppose 0 = -2*y + h*w + 2, 13 = -5*w + 33. Solve -2*l - y = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 198 and 10?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - (0 - 2))*-11. Suppose g + j = 9. Let x be (-6 - -3)\/(g\/14). Solve v + 1 = 3, 5*s + 3*v = x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of 5*q**3\/3 - 3*q**2\/2 - 4*q - 5860. Let z(i) = -9*i**2 + 6*i + 9. What is 11*g(d) + 6*z(d)?\nAnswer: d**2 + 3*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2. Suppose 0 = 4*v + 4*c - 6*c, -5*c = 2*v. Let t(a) = -32*a + 0*a + v*a. Give t(l(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**4 - 38*l**3 - 210*l**2 - 98*l + 1372 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*l + 16*l**2 - 12*l.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 203 + 174 = 4*u, 5*j = 4*u + 81 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(4\/5)*p*p**(-4\/7))\/(p\/(p\/(p\/(p*p**(2\/13)))*p)*p*p**(-2\/9)\/p))**(-6\/17) assuming p is positive.\nAnswer: p**(-21332\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -7*l**2 - 61*l + 2. Calculate t(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - -6)*(-3)\/(-6). Let q(j) = j**3 + 2 + 6*j**2 + z + j + 4*j + 0*j**2. Let r be (9 + -1)\/(5\/((-10)\/4)). Determine q(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110101011000 - 100110001110101?\nAnswer: -10111100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 102 and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(288)*-2*4*-2)**2 + 4 + sqrt(288)*-2 + 0.\nAnswer: -24*sqrt(2) + 73729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 285\/(-90) + (-1)\/(-6). What is the tens digit of (90\/12)\/m*632\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*s**3*z - 3304*s**3 + s**2 + 5936556*s*z + 425 with respect to z.\nAnswer: 3*s**3 + 5936556*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b + 83 = 127. Suppose 0 = -f - 2*y + 1307, 4*f + 2212 - 7460 = -b*y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -2\/9, -4, -7\/8 in descending order.\nAnswer: 1\/4, -2\/9, -7\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of k**7\/840 - k**6\/720 - k**5\/120 + k**4\/6 + k. Let r(h) be the third derivative of i(h). List the prime factors of r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -1333222?\nAnswer: -1333222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**3*n - 11*i**2*n*s**3 - 2*i**2*s**3 + 2*i*n*s**3 + 16*i*n*s + i*s**3 - 2*n*s wrt i?\nAnswer: -12*i*n - 22*n*s**3 - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1147906325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 41 + -41. Solve -3*h - 2*c - 9 = 0, t*h = -2*h + 2*c - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13*h**3 - 196190*h + 809817 wrt h?\nAnswer: -39*h**2 - 196190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 5*c + 4*s, 4*c - 2 = -3*s + 31. Suppose -3*b - 3*g = c, -4*b = -g + 3 - 15. Suppose 0 = -z + b + 1. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41 + (-21 - (-20 + 3 + 2)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 192 and 4261032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -6*w - 10. Let a(u) = 3*u**2 - 11*u + 8. Calculate the remainder when a(7) is divided by p(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -60580*j + 60584*j + 2*j**2 - j**2. Let k(y) = -5*y**2 - 4*y - 2. Let p(r) = r**2 - r + 1. Let x(d) = -k(d) - 3*p(d). Calculate 7*h(v) - 4*x(v).\nAnswer: -v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1 = 19. Let j be 3 + (-60)\/8*(-6)\/u. Solve 18 = -j*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 - 3*h**2 + 8*h. Suppose -20 = -2*y + 44. Let s = y - 38. Let f be b(s). Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39683, -39686, -39689, -39692?\nAnswer: -39695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 4 + 29. Calculate the remainder when 9 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 346123438, 346123437, 346123436, 346123435?\n\"Answer: -r + 346123439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i + 153 + 167 = -4*w, -5*w + 5 = -0*w + 23 + 7 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*y - 18. Let f be (-304)\/(-14) - y\/(455\/(-10)). Let x = f - 7. What is the remainder when 72 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 121, 698, 1995, 4288, 7853, 12966, 19903, 28940?\n\"Answer: 46*a**3 + 84*a**2 + 3*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 6*u**2 - 52*u - 1723. Is o(-31) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b. Let d(i) = 13*i - 5. Let c(n) = -7*n + 3. Let j(v) = -5*c(v) - 2*d(v). Let u(t) = -j(t) + 5*k(t). Determine u(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + f**2 + 24 + 13 - 9 to the form n*f**2 + w*f + l and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-2 + 3*sqrt(432) - (1 + sqrt(432) + 0)) + -1)**2.\nAnswer: -2496*sqrt(3) + 27817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -6\/3269?\nAnswer: -6\/3269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.8*4255.\nAnswer: -3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15196808 and 1464?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1533 + 6221\/4. What is the common denominator of r and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 13 = 4*r - 15, 14 = 4*h - 3*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.344 - -0.12.\nAnswer: -4.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-18)*3)\/((-8)\/456)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-4*((sqrt(240) + sqrt(240)*-1 + sqrt(240) - sqrt(240)) + sqrt(240) - sqrt(240)))\/(1*sqrt(320)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/(-1428)*21*-44.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 13, 17, 21, 25?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.25 - 0.15. Let z = 3692 + -3693. Sort -1\/2, q, z, -3\/4 in increasing order.\nAnswer: z, -3\/4, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**2\/2 - 5*z\/2 - 3 = 0. What is z?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -885867278*a + 885867278*a - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98 divided by 2693.\nAnswer: -98\/2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 134 + 56c3?\nAnswer: 5827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 11312301 (base 4) to base 9\nAnswer: 35810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6014.9 + -6013. Put 0, s, -4, 8, -0.1 in decreasing order.\nAnswer: 8, s, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117718 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*b\/b**(-2))\/b)**(-32))**(-38\/5)\/((b**(-2\/5))**(1\/49)*b**7\/b**(-3)) assuming b is positive.\nAnswer: b**(235888\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjnjnv. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2168 + -2123. Calculate the least common multiple of k and 6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, k: 1, d: 2, e: 1, p: 1}. Give prob of sequence ek.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -34 - -52. Let s be ((-93)\/w)\/(5\/(-30)). Suppose 103 = 4*i - 5*u, 3*i = 5*u + 45 + s. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-3) + 80\/6. Let h = l + -5. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7983 (base 13) in base 15?\nAnswer: 508c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 3*h + 25. Let y be j(-7). Let g(z) be the third derivative of 0*z + 1\/300*z**5 - 1\/1200*z**6 + 3*z**2 + 1\/240*z**y - 1\/30*z**3 + 0. Factor g(n).\nAnswer: -(n - 2)*(n - 1)*(n + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 140 and 359032?\nAnswer: 12566120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4*c = -855 + 8333, 37270 = 5*z + 4*c. Is z != 7458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -612*d**2 - 119*d + 120. Determine a(1).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 5*x + 1. What is z(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of a**4\/8 + 103*a**3\/3 - a**2 - 8*a. Let p(n) = -n - 104. Let f(l) = 6*j(l) + 11*p(l). Differentiate f(q) with respect to q.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -164, -202, -262, -344?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*j = 0. Let v be (-1 - j)*(-2 - 14). Solve 7*g = 3*g + v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161772 divided by -5?\nAnswer: -161772\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6144210 and 273076.\nAnswer: 12288420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.19  (b) -0.366  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6165 + 1558. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.90967 + 0.09033. What is the nearest to 0.1 in -1\/213, h, -1\/4?\nAnswer: -1\/213","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 PM and 10:38 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 16 + -2 - (-17 - -25 - -16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -6.3. Let z = 150.93 - 2.93. Let p = 147 - z. What is the second smallest value in p, 5, n, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 9, 5, -16\/3, 16\/9, -7\/10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 7. Let o be 2\/6*a - 3. Let b be 5*(-1)\/3*o. Solve -v = -b*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56) + 2*sqrt(2016))\/(-2*sqrt(72))*1.\nAnswer: -13*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -91410, -91516, -91622, -91728, -91834, -91940?\n\"Answer: -106*j - 91304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 54 - 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4208*c + 3530*c + 8351*c.\nAnswer: 7673*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 28781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000012978 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 286\/22*(80\/(-20))\/(32\/(-40))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.558386g in milligrams?\nAnswer: 558.386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 2)*(2 - 5 - 2)*(-2 + 1 - 1)*(-90*m**4 + 782*m**3 - 782*m**3).\nAnswer: -1800*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - m - 13 = -8, 0 = -5*k + m + 7. Which is the second biggest value?  (a) k  (b) 4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 11, c: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 4*m + 417, -j + m + 121 - 37 = 0. Let d(t) = j - 40 + t - 41. Let n(o) = -4*o - 5. Calculate n(d(a)).\nAnswer: -4*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-37)\/(-2))\/((-5)\/10) and (-3 + (-333)\/2)\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -14. Which is smaller: j or -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 5*y = 5*g + 152, -12 = 3*g. Let d be (y\/(-6))\/((-1)\/(-6)). Let b = d + 88. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/6)\/((-6)\/3393). Suppose 2*q + 0*q - 2*w - 248 = 0, 4*w + t = 3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 11:37 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -p**3\/8 + 4309*p**2\/8 + 9184*p + 75705\/2 = 0.\nAnswer: -10, -7, 4326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -w. Suppose -6 = 2*m - 4*r - w*r, -m + 4*r = 9. What is the first derivative of 3*z - 2*z**3 - 3 - 6*z + m*z wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, z: 3, y: 5, d: 7}. What is prob of sequence jzd?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 78*t**2 + 16*t + 3. Let f be x(-7). Let c = -1772 + f. Suppose 4*y - y = c. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.9 + -3. Let k = 1.0193 + -1.078. Let q = -0.2587 - k. Which is the third biggest value?  (a) 2\/17  (b) o  (c) q  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/3640 and 51\/259220?\nAnswer: 3629080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 11:53 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.8  (b) -2\/3  (c) 2  (d) 0  (e) -7\/5  (f) -1\/4  (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 17*w**2 + 4*w. Let n(x) = 3*x. What is n(h(c))?\nAnswer: 51*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 64 = -g. Calculate the remainder when 45 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24803 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 126, 961, 1 in decreasing order.\nAnswer: 961, 126, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2138533182.\nAnswer: 2, 3, 19, 47, 233, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.64, -0.04, -3, 243, 2\/29 in increasing order.\nAnswer: -3, -0.04, 2\/29, 0.64, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -l**2*v*x**3 - 13*l**2*v*x + 29*l**2 - 13*l*v*x**3 - 2*l - 509*v*x**4 + 2*v*x**2 + x**2 wrt x.\nAnswer: -6*l**2*v - 78*l*v - 12216*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 137339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 16\/10*(6 + -4 + 3). Suppose -q + 319 = -3*g, s*q + 4*g = 4*q + 1228. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16209?\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6341\/2 or -256\/53?\nAnswer: -256\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.1109478?\nAnswer: 0.554739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27494 and 2655?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1075.4587 to the nearest ten.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.05 - 0.25. Which is the third biggest value?  (a) 5  (b) s  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3293 - 1841. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 591490831.\nAnswer: 61, 9696571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2310333 is divided by 740?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -g**3\/3 + g**2\/2 - 10844. Let w(b) = -10*b**2 + 10*b + 1. Give 6*l(h) - w(h).\nAnswer: 4*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 306, 305, 292, 261, 206, 121?\n\"Answer: -h**3 + 6*h + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**3 - 15. Let j(p) = 4*p**2 + 3*p**2 + 8*p**2 - 5*p**2. Give r(j(y)).\nAnswer: -300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 3 + (1 - 1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by -6383.\nAnswer: -1\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**2 + 135 - 135 - 8*a.\nAnswer: 2*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -4 + 3 + 3*t - 10*t**2 - 4. Let q = -23 + 13. Let x(g) = 30*g**2 - 10*g + 14. Let n(d) = q*w(d) - 3*x(d). What is the first derivative of n(h) wrt h?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.6 - 1.6. Let h = -187 - -187.12. Let n = h - 0.15. Sort 0, n, y in decreasing order.\nAnswer: 0, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -s - 4. Suppose 2*z + 45 = 3*a + 13, -z = s. Suppose -6 = -3*x + 12. Calculate the smallest common multiple of x and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147624 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 20 = 2*h, 18 = -3*g + 6*g - 3*h. Suppose -5*r = -5, 2*r = z - 2*z + g. Solve 0 = 2*q - 2, 4*v - 3*q - z = -17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 25, -3, -1, -2112 in descending order.\nAnswer: 25, 4, -1, -3, -4, -2112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4831 divided by 4831?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/12986 and 123\/15115100.\nAnswer: 649949300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*p - 750 + 7900. What is the remainder when p is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-6))\/((-30)\/(-135)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, s: 2}. Give prob of sequence kkks.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 6.311664 years?\nAnswer: 0.006311664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2208 and 241914.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 26891632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p - 3. Let h(x) = -3*x + 4. Let n(l) = 3*h(l) + 4*w(l). Give n(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1030411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 2*o = -29, 5*a + 3*o = -0*o + 50. Let p(j) = j**2 + 2*j. Let h(z) = 4*z + 20. Let v be h(-6). What is the remainder when a is divided by p(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/5))**(-11)*(m\/m**(6\/7)*m*m*m)\/m*m\/(m*m**(-2\/5))*(m**(5\/4)*m**(-15)\/m)**(-27) assuming m is positive.\nAnswer: m**(56727\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 39975 and 65?\nAnswer: 39975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/8)\/(475920\/(-42304))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03952 and -0.4?\nAnswer: 0.015808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1264 + 4427. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 6, -20*h + 2*q = -25*h + 21. Solve -8*w + 11*w = h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**(-12)*x)\/(x*x**(-1\/3)))\/((x\/(x*x**(-4)\/x))\/((x*x**(-1\/8)\/x)\/x)))**3 assuming x is positive.\nAnswer: x**(173\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -31\/7*n**2 - 1\/7*n**4 - 32\/7*n**3 + 0*n + 0 = 0.\nAnswer: -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 146 = 18. Let r = g + 99. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/3 - (0 + 0). Let z(p) = -7 + 5*p + s*p + 7. Let x(u) = 0*u - 2*u + 3*u. Calculate z(x(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -3516230 to the nearest 10000.\nAnswer: -3520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 79144 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*b**3 - 65*b**2 + 260*b - 160.\nAnswer: -5*(b - 1)*(b + 4)*(7*b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23 - -3104?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 4*t + 1. Suppose -392 = 2*i - 392. What is a(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -72 + 503\/7. Let j = 66.2 - 66. What is the nearest to j in -5\/3, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of -s**2\/2 - 3*s - 3. Let v be l(-6). Solve 0 = -g - 0 + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1228\/14 - 4\/(-14). Let b = q + -443\/5. Let h = -6 - -10. What is the second smallest value in 2, h, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dyyyyyyyydd. Give prob of sequence yy.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*j = -26*j - 30*j - 27*j. Solve -4*r = -4*s - 24, -9*r + 4*r + 5 = j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29975 and 8592034.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6640880 and 262140.\nAnswer: 19922640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 92 and 1932.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.55*0.037632\nAnswer: 0.0206976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32541 + 32535. What is the third biggest value in 73, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.30314l in millilitres?\nAnswer: 49303.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39 - -68. What are the prime factors of q\/3 + (-6)\/(-18)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 17*n**2 - 60*n - 26. Calculate the remainder when s(-13) is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 725113 is divided by 238.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2189543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*j - 4 + 4)*(8 + 5 - 9)*(2 - 1 + 2 + 1 + 2 - 2 + (4 + 1 - 3)*(-3 + 0 + 4)) to d + g*j and give g.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 39\/33 - 1 - 16984004\/22. Round t to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 4 - -5) + (19 - 19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -92.5 + 93. Let z be 5\/6*(-210)\/700. Which is the third smallest value?  (a) z  (b) -2\/3  (c) -2\/7  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 5828437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dsppspzeddeddzsdtdz. Give prob of sequence sep.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 - 2*w + 7. Let k be x(-6). Let z = -13 - k. Suppose -4*q = 3*m - 188, 2*m - 65 - 127 = -z*q. Find the common denominator of q and 24\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13)\/((2\/4)\/((-22)\/(-4))). Let i = 713\/5 + g. Sort 2\/3, i, 1, 2\/7.\nAnswer: i, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-83 + 82 - -93) + -11.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 21*b. Suppose 5*w + 5 = 15. Let c(g) = -g**w - 217 + 217. Calculate y(c(u)).\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 y when three letters picked without replacement from {k: 2, y: 1, p: 1, s: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-28)\/(-3) + -8)\/(2 - -1). Let l = 37 + -112\/3. Which is bigger: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-21))\/(1\/(-12)) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -150 + 2442. Is 79 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -20, -1 = -2*u + 2*n - 3. Solve -u*d = d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zznzfnfn. Give prob of picking 1 f and 1 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 4:32 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1*(-4)\/(-3))\/(2\/6). Suppose -7 = -5*w + 8. Solve -w = k - p*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*c + 3*c + 2*c)*(2*c + 2*c - 3*c) + c**2 - c**2 - c**2 - 24*c**2 + 241*c**2 + 9*c**2 + (c + 2*c - 5*c)*(-3 + 3 + c) as l*c + o*c**2 + a and give o.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 528 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 7 = -i - 1, -3*r + 2 - 5 = -3*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 2) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15\/226 + 173\/904. What is the third biggest value in 5, 1\/10, g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-20)*(-12 + 536\/48). What is the nearest to -0.1 in -214, f, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u + 4*u - 2*u + 12 + 14 - 25. Let y(j) = 9. Give -2*c(r) + y(r).\nAnswer: -2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - x**2 + (1 - 1 - x)*(-1 + 2*x + 1) + 7*x**2 - 5*x**2 - x**2 - 2*x**2 + 2*x - 2*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 19, 89, 0.08, -864, -3\/2?\nAnswer: -864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -3*t**2 - 38*t - 17. Let z(p) = p**2 + 13*p + 6. Calculate -4*n(f) - 11*z(f).\nAnswer: f**2 + 9*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -34 - 264*n**2 + 135*n**2 + 131*n**2. Let l(z) = -12*z**2. Determine g(l(i)).\nAnswer: 288*i**4 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7070711 is divided by 5616?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/10523559 and 157\/173370.\nAnswer: 105235590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1145, 9279, 31367, 74387, 145317, 251135?\nAnswer: 398819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-80)*-2)\/(2596\/(-176))?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*i + 135*i - 840 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 71 + 279. Calculate the remainder when r is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51411?\nAnswer: 3, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 4182 times 496.07\nAnswer: 2074564.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/(-32))\/(378\/48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100 (base 2) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179534190.\nAnswer: 2, 3, 5, 11, 131, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 4*g + 5. Let k(a) = 1. Let j(o) = -f(o) - 2*k(o). Let v be j(6). Suppose 0 = -m + s - 2, v*m + s + s - 25 = 0. Solve 4*t + m = -13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 4:43 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2. Let g(k) = -k**3 + 25*k**2 - 23*k - 11. Let d be g(24). Let h(s) = -d*s + 19*s - 11*s - 22*s - 8*s. Calculate a(h(c)).\nAnswer: -2450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 - 46. Suppose 2*m = -2*i - 2*i + 14, 3*i = 5*m - 22. Let k be 2 + t + m + -4. Which is greater: 20 or k?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/(g**(4\/7)\/g)))\/((g\/(((g*g*g**2)\/g*g)\/g*g))\/g)*(g**0)**(-6\/11) assuming g is positive.\nAnswer: g**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 27. Let u = -10 + 18. Calculate the remainder when i is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 481285173 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/19, -5\/12, 29, -3\/7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(35\/(-21)*(-4)\/(-10)). Suppose -4 = 2*x - 4*x. Suppose 35 = 5*b + 2*l, -4*b - x*l = -9 - 17. Is s less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/6 + 1)*-16. List the prime factors of -4*(2 + 34\/f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12 + 20. Let b = -7999\/7 + 5748\/7. Let s = b - -321. What is the second smallest value in 5, s, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24 + -19. Let v be j\/15 + (-14)\/6. Suppose 2 = d - 3*d. What is the nearest to -1\/4 in 2, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 3*t + 44, 5*s + 0*t - t - 127 = 0. Suppose -4*q + 15 = -s. Suppose u - q = -3. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-122*o + 1799 - 1799)*(0 - 1 + 2)*(2 - 2 + 1).\nAnswer: -122*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2. Let r(f) = -3*f**2 + 5*f + 5. Let t(n) = -2*n**2 + 2*n + 2. Let w(s) = 2*r(s) - 5*t(s). Calculate k(w(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/69)\/((-5766)\/(-88412))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 735\/16, 3, 4, 2\/5.\nAnswer: 2\/5, 3, 4, 17, 735\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 242414 (base 5) to base 8.\nAnswer: 21625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-40)\/(-12)*(-756)\/(-245). Let o = -908\/91 + i. Factor o*z + 2\/13*z**4 + 8\/13*z**3 + 0 + 10\/13*z**2.\nAnswer: 2*z*(z + 1)**2*(z + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -38  (b) -0.5  (c) 3\/8  (d) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-18)*n*n**(-2\/29)*(n**3*n)\/n*n**(-3)\/n assuming n is positive.\nAnswer: n**(-524\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 6*y + 2. Let j be o(-6). Let a be (j - (-21)\/(-6))*-2. What are the prime factors of (a\/(-9))\/(1\/(-42))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -311 < -4663\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (64\/30)\/((-20412)\/25515)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*q + 58 = 97*z - 99*z + 82*q, 0 = -5*z + 2*q - 57 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -23 - (-4 + -2 + 4). Suppose 0 = -s - 7 - 14. Let c = t - s. Is 6\/11 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d + 9. Let k be (-6)\/24 + 69\/(-12). Let m be h(k). What is the closest to -3 in m, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*c = 8, 2*c = -2*c - 16. Suppose n = 4*s - 38 - 6. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 0*d - d - 64 = 0, -4*k + 2*d + 88 = 0. Suppose 3*z = -q - q + 20, 0 = -2*q + 3*z + k. Let n be 5\/(q\/(-6)) - -3. Solve -2*w + 5*w + 15 = n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4 = 0, 0*b - b + 8 = -x. Solve q - b*q - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fzdx when four letters picked without replacement from {f: 3, o: 1, d: 1, x: 3, v: 2, z: 3}?\nAnswer: 9\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (10\/380 - (-660)\/3800) + (444\/20)\/(-1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 66 = -2*p, p = -5*v - 471 + 152. Let a be 981\/15 - 4\/10. Let b = v + a. Solve 4 + b = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -148 + 228. What is the greatest common divisor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/100884214 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-22*u**4 - u**4 - 5*u**4)*(0 + 1 + 1 + (2 + 0 + 0)*(0 + 2 + 0)) to h*u + z*u**2 + v*u**4 + g*u**3 + i and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 54869.619 days in weeks?\nAnswer: 7838.517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*w + 4740972 = 49*w + 129*w. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -583*r**2 + 6397 - 6397 + (3*r**2 - 3*r**2 - 2*r**2)*(-2 + 4 - 1).\nAnswer: -585*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -107*q + 4*q**3 - 54*q**2 + 27*q**2 + 39*q**2 + 8*q - 320 - 213*q.\nAnswer: 4*(q - 8)*(q + 1)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 12. Suppose 4*m = -3*c + 6, 3*m - 8 = m + c. Let p*r**m - r + 5*r - 4*r + 12*r**4 - 3*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 179\/480 and 157\/33030.\nAnswer: 528480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -6*q - 5*d - 5, 35 = -5*q + 5*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 175636 and 37234832.\nAnswer: 37234832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 733*f*k*o**6 - 2*f*k*o**2 + f*k*o - 46*f*k - 2*f*o**2 - 9*f*o + 8*k*o**3 wrt o?\nAnswer: 87960*f*k*o**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*z - 95*z - 101*z + 1 + (z - 2*z - z)*(0 - 3 + 0) + 5*z - 2*z - 2*z as m + p*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.1, -222, 0.3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*s**4 - 14664*s**3 - 1410013*s**2 + 17054195*s - 28350450 = 0. Calculate s.\nAnswer: -1255\/6, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1606\/(-97966) - (8650\/15555)\/(-10).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1069*f - 117040 = 1076*f. Round f to the nearest 100.\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 153897 times 0.12\nAnswer: 18467.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/12*-70*407\/(-5180).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 PM and 7:25 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-3) - (4080\/153 + -32)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*s**3 + 588*s**2 - 588*s**2.\nAnswer: -121*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/10)*s)\/(s*s*s**7)*s*s**(-7)*s**(-9))**39 assuming s is positive.\nAnswer: s**(-8931\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p. Let o(v) = 26*v - 225. Let c(d) = -15*d + 113. Suppose -3*g = 2*t - 11, -5*t + 58 = -5*g + 43. Let m(f) = t*o(f) + 7*c(f). Calculate m(n(k)).\nAnswer: k - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 + -25.1. Let r = 0.11 - -0.39. Which is the smallest value?  (a) y  (b) r  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-185)\/(-111))\/(4\/2220). Calculate the greatest common factor of i and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15343352 (base 9) in base 15?\nAnswer: -a10762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 661351\/987 or 671?\nAnswer: 661351\/987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.56 - -0.32. What is d rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4323 = 2*b + u, -3*b + 6476 = 5*u - 12*u. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 277 - -54. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n**2. Let r(f) = f**2. Let q(d) = -3*r(d) + 3*y(d). Factor q(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -547 + 543. Let d = 0.6 - 0.1. Let u = -8 + 11. Put u, d, x in descending order.\nAnswer: u, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 7*t**2 + 2*t - 10. Let w be u(7). Let n(x) = x**3 - 4*x**2 + x - 1. Calculate n(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 4 + 0)*(-6*q - 41 + 41) + 593*q + 237*q - 135*q)*(-4 + 3 + 2).\nAnswer: 689*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*i = -15. Suppose -4*t = 3*n - 3, -5*n + i = -2*t - 0*t. What is the smallest common multiple of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**(18\/11)))**(-1)*c*c\/((c**(-6\/7)\/c*c)\/c)*c*c*c*c**(4\/15)*c assuming c is positive.\nAnswer: c**(7493\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*u + 57 = 9*u - 300 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z**2 - 4*z + 12. Calculate h(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 11*k**2 - 18*k + 27. What is the remainder when 54 is divided by b(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 13*q**2 - 28*q - 26. Let n(p) = 2*p. Let z be n(-2). Let x = 22 + z. What is the smallest common multiple of y(15) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66*c**3 - 9595*c**2 + 3275002*c wrt c.\nAnswer: 396*c - 19190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*f - 9, -9*f + 5*f = r - 15. Solve 0*l = f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n - 6. Let c be t(-6). Let i(p) = -p**3 - 4*p**2 - 5*p - 9. Let z be i(-5). Suppose 37*d - z*d = -12. Solve -3*f + d + 6 = c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3300*s**2. Let w(x) = -132*x**2. Give 4*t(z) - 99*w(z).\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 80 = 40*o - 39*o + 15, 5*o - 45 = -b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -472, -12.9 in decreasing order.\nAnswer: -4, -12.9, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15311 and 3399544?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_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: List the prime factors of 1721.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7.3*0.0617\nAnswer: 0.45041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000826768285 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in -10, 0.2, -139, 13\/47?\nAnswer: 13\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5225.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.06  (b) 93  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence thlt when four letters picked without replacement from lxtlxhbtm.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 61*p**2 - 33*p**2 + 6*p - 3*p**3 - 31*p**2.\nAnswer: -3*p*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29950.\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19830\/91 - -2844\/13. Is o greater than -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -900*y - 1367*y + 136840 = 1154*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 AM and 4:19 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4461869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 5282.895 to the nearest ten.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*y + 31 + 4*y + 11*y to the form k + i*y and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t. Let g(u) = 111*u - 14004. Let b be g(126). Let x(d) = 4*d. Let m = 1 - -3. Calculate b*q(p) + m*x(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 2*s - 3*d - 10, 4*s + 4 = 2*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 5*o + 13. Determine d(-13).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 - -1. Let y = 84 - 86. Let j be (-33)\/y + (-78)\/52. Are g and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {l: 1, b: 1, w: 1, c: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 1. Let w(y) = y - 5. Let t be w(5). Sort m, 8, t in decreasing order.\nAnswer: 8, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(44\/396*(-9)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 4*c = 9, -12 + 15 = -5*t - 2*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -20, 83 in descending order.\nAnswer: 83, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 29  (c) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 + 23. What is the units digit of ((-12)\/w)\/((-3)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 3*a - 4. Suppose -4*u - 5 + 25 = 0. Suppose -2*x - 2*w - 3*w = 0, u*x = a*w. Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(2\/13))**(-14))**(-29\/5))**(-1\/15) assuming a is positive.\nAnswer: a**(-406\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -844.5 to the nearest 10.\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*p + 2*y - 12, 45 = 5*p + y. What is the third derivative of 17*q**6 - q**2 - 7*q**6 - p*q**6 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/78*((-267)\/623)\/((-7)\/(-7))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 12. Suppose 5*y = -2*w + 1090, r*y + y - 5*w - 623 = 0. Let v be ((-324)\/45)\/(-3 + 86\/30). What is the highest common factor of v and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1015 - -612. Which is smaller: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 684285241 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -464*p - 415972 = -443812 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 301313578?\nAnswer: 2, 191, 788779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -31*y - 239. Let q be u(-14). What is the greatest common divisor of q and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 3*f + 49. Let v be c(-15). Suppose -v*l - 34 = -566. What are the prime factors of l?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 + (9 - 81) + 1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -148*o + 92*o + 18 - 135*o.\nAnswer: -191*o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of 1 - 1\/2*j**3 - 10*j + 2*j**2 + j**4. Find the second derivative of s(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3079 is divided by 1005?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21056*s**5 + 5*s**2 + 23*s + 34 wrt s?\nAnswer: -1263360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.4, 0.3, 98\/31.\nAnswer: -0.4, 0.3, 98\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 26892 - 11?\nAnswer: 26881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a - 15 = -6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d + 5. Let n be s(3). Suppose 0 = -n*w + 6, -4*o - 2*w - 243 = w. Let z be (32\/(-6))\/(7\/o). What is the greatest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -0.1058\nAnswer: -0.02116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 830077?\nAnswer: 103, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*k = -4*k - 141 - 1479. Put k, 3, 8 in increasing order.\nAnswer: 3, 8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**2\/2 - 41187*z\/2 + 41193 = 0. What is z?\nAnswer: -13731, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - q**2 - 3*q + 2. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/3 + 306860*t**2\/3 - 613723*t\/3 + 306862\/3.\nAnswer: (t - 1)**2*(t + 306862)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -12*z**2 - 10*z + 2. Let j(b) = -84*b**2 - 69*b + 15. Let a(u) = -2*j(u) + 15*s(u). Find the second derivative of a(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.2 - 17.2. Let o = f + -1. Which is the third smallest value?  (a) -2  (b) o  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -239493.97344 + 239651. Let d = q - 157. Round d to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 734856 by 914.\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*k**2*m + 5277673*k**2 + 2847050*k*m wrt k.\nAnswer: 8*m + 10555346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = 5*n - 3*g, -4*n + 2*g + 165698 = 165752 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -261a61 (base 15) in base 12?\nAnswer: -741bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is de + -4?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -7*d + 19. Let r(s) = s + 1. Let j(g) = -2*r(g) - v(g). Let n be j(10). Suppose 0 = -3*o + 134 - n. Calculate the remainder when 67 is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 168 = -7*m. Let a be (m\/9 - (-1)\/(-3)) + 8. Solve -4*b + 30 = a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 13 = -61*h + 59*h, -4*y = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*r + 40*r + 6 = -5*v, 2*v = 2*r - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1192253?\nAnswer: 1192253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(((-66)\/(-4))\/11))\/(819\/(-28) + 29)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 171745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(540) - sqrt(540)*1 - sqrt(540) - sqrt(15))*-5)\/(sqrt(20)\/(sqrt(16)\/sqrt(4)) + (sqrt(125) - (sqrt(125) + sqrt(125)*-2) - sqrt(125))).\nAnswer: -35*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3410944 and 12?\nAnswer: 10232832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 28559 greater than 28561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 602533473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8349?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5477 is divided by 769?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 125950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + z - 7 = 0, 0 = -287*y + 286*y - 8*z + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (3\/9)\/(6\/126)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {e: 8, z: 3}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 18\/11, -1, 33629?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 2. Let u be 3 + -3 + -1 + i. Let d be (2\/6)\/((-2)\/6). Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8615 - 4818. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2321365 * 1.\nAnswer: -2321365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 9*u - 24. Let j = -57 + 47. Let r be n(j). Which is the closest to r?  (a) -1\/2  (b) -0.2  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 285 = -n, -5*n + s - 202 = 1197. Let k = n + 597. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -145\/1632 and 11\/816.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 5*q**2 + 2*q - 3. Let i(j) = j**2 - 6*j + 5. Let w be i(6). What is s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.103501 rounded to 3 dps?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 53833*t**2. Let z(a) = 24*a**2. Determine z(m(d)).\nAnswer: 69551805336*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o - 1606 = -18448. Let g = -374 - o. What are the prime factors of g?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**2\/7 + 3975*l\/7 - 3974\/7 = 0 for l.\nAnswer: 1, 3974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 15, p: 4}. What is prob of sequence wpp?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.43576681 to 4 decimal places.\nAnswer: 0.4358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/5)\/((-2)\/5). Suppose 1 - 23 = -x*s. Does 7 divide 2*1 - (-11 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 870158 divided by 1\nAnswer: 870158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1484755.\nAnswer: 5, 19, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kthtkkhhkq. What is prob of picking 1 q and 1 t?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1053166158?\nAnswer: 2, 3, 11, 1773007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of 14*d - 2\/3*d**3 - 2*d**2 - 1\/3*d**4 + 0 - 1\/4*d**5. What are the prime factors of a(-3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 933*a - 19231 - 13219 = -1865*a - 447*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 7*r - 5*v - 46 = 0, 7*r - 2*v + 5 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -36679624 divided by 18339812\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -816 = -b - 812. Let v(z) = z**3 + 10*z**2 + 8*z + 1. What is the least common multiple of b and v(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 1.354, 1\/10, 0.4 in increasing order.\nAnswer: -5, 0, 1\/10, 0.4, 1.354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1900)*2 + sqrt(1900))*3)**2.\nAnswer: 615600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 651 is divided by 133.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 22283873 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5290 is divided by 231.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8355 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 189\/(-54)*18\/36?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 15.0045. What is u rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 3  (c) 443  (d) 9.3  (e) -2\/5  (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 4*p + 16. Let y be (2\/12)\/(2\/p). Factor 1\/3*o**5 + 2\/3*o**2 - 2\/3*o**3 - y*o**4 + 1\/3*o - 1\/3.\nAnswer: (o - 1)**3*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of 183*z**4\/4 + 215*z**3\/3 + 27*z. Find the second derivative of y(d) wrt d.\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 32 = -4*k, -2*d - 4*k - 1233 = -1245 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 216*h - 220*h + o + 58, 2*h - o = 30. Which is the fourth smallest value?  (a) -4  (b) -2\/51  (c) 1  (d) h  (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -133 and -244149.\nAnswer: 32471817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -10\/7, -4, 15, 2\/49 in ascending order.\nAnswer: -4, -10\/7, -2\/7, 2\/49, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - -10) + 23 - -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2*((sqrt(112))**2 + 4 - (5 + sqrt(7) + -1 + sqrt(7))**2).\nAnswer: -32*sqrt(7) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1653557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 9*-4*((-58)\/3 - -19)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223082716.\nAnswer: 2, 401, 139079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 88894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 123156480 and 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-40)*28 - 2091\/(-15). Solve 0 = -h*g + 129*g + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 1824*w - 3646*w + 183*w**2 + 1822*w. Let k(l) = -3*l**2 - 1. Determine k(j(h)).\nAnswer: -100467*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -17 - (-102 - -114)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(242)\/((sqrt(396)\/sqrt(9))\/sqrt(4)))\/(sqrt(22)\/(-2*sqrt(11)) + 5*(sqrt(18) + sqrt(2))))**2.\nAnswer: 44\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 + -13012201?\nAnswer: -13012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 5*p**2 + 23*p - 67. Is l(5) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-4\/3)*(h*h**(-33))\/h assuming h is positive.\nAnswer: h**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r - 2*r - r. Let f(i) be the third derivative of i**8\/5040 - i**5\/30 + 4*i**2. Let v(q) be the third derivative of f(q). Give v(k(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4\/6 - 2626321*y**3\/3 - 3448773118544*y**2\/3 + 6897577752976*y.\nAnswer: -y*(y - 6)*(y + 2626324)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 13286, 29914, 53228, 86570, 133282, 196706, 280184?\n\"Answer: 557*l**3 + l**2 + 12726*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 4*g + 80 = -0*c, 4*c - 84 = -5*g. Calculate the remainder when c is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -s - 8 - 11, -2*s = -2*b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n - 290*n = 3692 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -514 (base 6) to base 12.\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 3*p - 14 = 0, 4*s - 6*s - 2*p + 52 = 0. What is the greatest common divisor of 713 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11, 1\/2, -2\/7, 113\/36, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 96 + 33)*(4*f - f - 2*f)*(-1 - 4 + 1).\nAnswer: -572*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 29*w**3 - 2*w**2 + 1. Let i be y(1). List the prime factors of (-736)\/(-6) + 15\/(315\/i).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 123063\/(-166497)*12\/34.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3, 6, 3\/7, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -5*a**3 + 412*a**2 + 37403*a + 35. Calculate m(137).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + (27 - 3)*(-2)\/22. Let p = 19 + -10.8. Let z = 8 - p. What is the closest to 1 in v, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9182*g**2*r*x + 4*g**2*x**3 - g**2 + 18*g*r*x**3 + g*r*x**2 + 2*g*r*x + 782*r*x**2 + x**2 wrt g.\nAnswer: 18364*r*x + 8*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 584*f**3 + 110*f**3 + 524*f**3.\nAnswer: 1218*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 38662761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-46)\/69)\/(14\/(-704508))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-18)*-8 + -1. Let h = -0.2696 - -0.6696. What is the nearest to k in 0.7, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 15*h**2 - 3*h. Determine f(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**2. Let x = 53 + -47. Suppose 5*o + 14 = 2*h, 2*o + 6 - 20 = -2*h. Let p(w) = w - x*w + h*w. Give p(f(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 3\/113?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 21851.94 grams in tonnes?\nAnswer: 0.02185194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, -1, 2, 0, -108, -5 in increasing order.\nAnswer: -108, -45, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5*m - 10. List the prime factors of m\/(-15) - 17\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6540 + 42?\nAnswer: -6498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 36 = 65*v - 61*v, -x + 24 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 - (2\/(-11) - (-21567)\/(-143)). Let q = 216 + z. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -5. Let n be -4*(-2)\/(-12)*-3. Suppose i - 12 = -2*i - 3*r, -r = n. Calculate the least common multiple of v and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-37)\/(-2))\/((-3)\/(-24)). Let l be ((-1)\/(1\/((-356)\/(-4))))\/1. Let p = l + i. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33) + (sqrt(231)\/(sqrt(7) + 2*sqrt(7)) - sqrt(33)) + 5*sqrt(66)\/sqrt(2) + sqrt(33))*-2)\/(4*sqrt(396)*1 - 4*-1*sqrt(396)).\nAnswer: -19*sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 3*a - 5*w, -3*a - 13*w - 248 = -74*w - 4*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01027415615 rounded to 6 dps?\nAnswer: -0.010274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**2 + i + 505. Let v(l) = -4*l**2 + 1009. What is 5*q(h) - 2*v(h)?\nAnswer: -2*h**2 + 5*h + 507","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - -2) + -10 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-40) - (-658)\/140\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 13501043?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*u - 352 = 3*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 7026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of (-450116)\/(-22) - ((-4440)\/660)\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3214724.\nAnswer: 2, 19, 42299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1478 + 1566. Calculate the greatest common divisor of q and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 0*k - 16. Let q(c) = c**2 - 5*c. Let i be q(k). Let x be i\/2*10\/(-4). Solve 0 = -x*d + 2*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {u: 1, c: 1, y: 1, r: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*h = -11. Suppose -v = -0*z + 4*z + 9, -h = -v + z. Solve -v*k + 2*k = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 22040\/(-5516) + (-3)\/(-4)*(-208)\/(-39). Is 0 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3146 is divided by 434.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a + a1?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 44*r - 46924 + 48552 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-16))\/((18\/16)\/(-3)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 55*o + 0 + 97*o to v + w*o and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.9 minus 880?\nAnswer: -876.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/28434 and 127\/13468.\nAnswer: 27353508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkalyylllllylllylala. Give prob of sequence ky.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - (-2)\/(-6))*6\/(-38). Which is the closest to 0?  (a) -0.1  (b) -5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111636497 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 10 = 2. Suppose y*o - 6*o + 12 = 0. Suppose o*f = 4*f - 3. Solve -4*x + 3*h = 1, -2*h + 0*h = -f*x - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3240\/3480 - (-3 - (-3 - (-4)\/58))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 689, 1382, 2077, 2774, 3473, 4174, 4877?\nAnswer: 5582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -4*p**2\/3 + 16*p\/3 + 128 = 0.\nAnswer: -8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21 - 19. What is the nearest to -2\/9 in 0, -1, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -135*z + 134*z - 40, -5*s + 200 = z for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 42*l**2 + 33*l + 348. Suppose -5*y + 5*q = -55, -5*q + 4 = 4*y - 4. What is the lowest common multiple of y and z(41)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 + 75 - 6*d - 41 - 4*d)*(4 - 2 - 5)*(-279*d + 279*d - 10*d**2).\nAnswer: -300*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 14*n**2 + 15*n - 1. Calculate i(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1874 - -3815\/2. Let r(b) = -2*b**2 - 2*b - 1. Let a be r(-2). What is the common denominator of 2\/a - (-28)\/(-30) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n + 6. Let j be y(8). Let z(i) = -i**2 - 10*i - 8. Let t be z(j). Let p = 18 + t. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -233, -234, -235, -236, -237, -238?\n\"Answer: -i - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, m: 5}. Give prob of sequence mmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115948.\nAnswer: 2, 7, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 554*1.4.\nAnswer: 775.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + (-24)\/(-28) + -3. Let k = -9 + 5. Let t = k - -3.6. What is the second smallest value in t, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4503 and 9859911.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*k**3 - 69*k**3 + 132*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 + 8*k - 7. Let h be y(5). Let q be h\/(-20) + (-24)\/(-10). Suppose 0 = -q*w + f + 15, 3*w - 3*f - 6 - 12 = 0. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 8:28 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 222122212011 (base 3) in base 13?\nAnswer: 154b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1204 divided by -1?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -3 + -13 + (5 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - v**2 - 1. Let h(z) = -1118*z**3 - 12*z + 4. Let i(m) = h(m) - 6*w(m). Let q be i(-9). What is q rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 5*r + 291 = 5*v, 5*v = 4*r + 312. Let l = 64 - v. Sort l, -6, 1\/2 in decreasing order.\nAnswer: l, 1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 188, 450, 658, 788, 816, 718, 470, 48?\n\"Answer: -4*i**3 - 3*i**2 + 299*i - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*(k*k**(-1\/4))\/k*k*k*k**(-1\/2)*k*k**1*k**1*k*k*k**(-1)*k**(1\/4)*k\/k**(7\/3)*k\/((k\/(k**(-2)\/k)*k)\/k)*k assuming k is positive.\nAnswer: k**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -26319, -52637, -78961, -105291?\n\"Answer: -3*i**2 - 26309*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(144\/(-201)))\/((-11)\/((-748)\/17)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 57150886, 114301769, 171452650, 228603529, 285754406?\n\"Answer: -z**2 + 57150886*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/1290 and -103\/850884?\nAnswer: 4254420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 AM and 12:36 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 333 - 25. Calculate the lowest common multiple of f and 8.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 882569 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 8. Let x = 0.06 - 0.46. Let v = x + -0.1. Which is the closest to 2\/7?  (a) d  (b) -2\/11  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g - 2. Let r be w(-2). Let p = r + 8. Suppose 0 = 5*u - p*u - 267. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-250)*70\/(-4). Let u = -37\/50 - t. Find the common denominator of u and (-23)\/2*3\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 20*k - 79. What is the remainder when 67 is divided by z(-24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 6423?\nAnswer: 5\/6423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50 + -54. Let d(v) = v + 3. Let z be d(-5). Let l(c) = 3*c + 1. Let y be l(z). Are h and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 6. Let v be t(-8). Let h(r) = -6*r - 2*r**2 + 2*r**v + r**2. Let o be h(8). What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 480, 474, 466, 456?\n\"Answer: -r**2 - 3*r + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 54761060599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -534*z**2 + 1722*z**2 - 653*z**2 + 27*z**3 - 535*z**2.\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34*i + 60*i - 77*i)*(4 - 1 + 0).\nAnswer: 51*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fbbb when four letters picked without replacement from fbfbfbff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2124762337 and 4653.3?\nAnswer: 2124766990.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 4 = 2*q - c, 2*q + 5*c = -6. Calculate the least common multiple of 24\/(-40) - 33\/(-5) and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**4 + 580*x**3 + 1705*x**2 + 1130*x.\nAnswer: 5*x*(x + 1)*(x + 2)*(x + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {u: 4, n: 6, y: 3, v: 4, c: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - 7)\/((-5)\/6). Suppose -w - 8 = -2*v. Solve -3*x + 5 + v = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -12*t + 4. Let b be p(2). Let g be (-15434)\/(-10) - (24\/b)\/(-3). Suppose 1754 = 3*y - 2*q - g, -2*y - q = -2191. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10346240.\nAnswer: 2, 5, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1492 = 19*v - 1245 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -470 - -2?\nAnswer: -46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1248 divided by 13.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 545284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 8:22 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11385 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -17\/3  (b) -2  (c) -0.9  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13)*2 + 4 + -4.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 + -1031c44a?\nAnswer: -1031c441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 1. Let r be 8038\/(-56) + (-3)\/4. Let g = r - -144. Is g greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -410*l + 9 + 417*l - 2 + 3*l**2. Let q(j) = -j**2 - 4*j - 4. Give -4*f(h) - 7*q(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-34)\/6 - 8\/24. Let o be (r\/9)\/((-1)\/12). Solve 2*w + o = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 10*s = 125. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + 164076?\nAnswer: 16407b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (3 - -4) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 8*f**2 - 9*f + 1. Let t be d(9). Suppose 4*l - t = 191. What is the highest common divisor of 32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -675*s - 4076 + 2039 + 2037 in the form a + r*s and give r.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5441192 - 1732617 = 65*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (63\/36)\/((-1)\/(-4)). Suppose 0*j + 80 = 5*j. Let v = -10 + j. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1936110075 a multiple of 1475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7833817.\nAnswer: 97, 80761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 7*f. Sort -0.4, -4, f, 5 in descending order.\nAnswer: 5, f, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4211 times 0.4?\nAnswer: -1684.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.16+-306491162892\nAnswer: -306491162891.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 8*q + 15. Let h be i(3). Suppose -g - 4*a + 23 = h, 5*g - 10 = -2*a + 33. What is the common denominator of 65\/12 and (-4)\/g*203\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) -4\/7  (b) 3  (c) -230  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 2*o, 2*h - h = -3*o + 35. Let t = o - 5. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 5*r + 473 = -96, 0 = -5*h + 2*r - 923. Let d = -78 - h. Suppose -24*j + d = -17*j. What is the second biggest value in j, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of 76*a**6\/15 - 5*a**4\/4 - 2*a**2 - 148*a. What is the third derivative of g(w) wrt w?\nAnswer: 3648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1337594973 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 4*b - 195, 2*b = 3*s + s - 250. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -1. Let n(p) = p - 9. Let y(d) = -6*l(d) + n(d). Let v be y(7). Solve 3*r + 0*r = -4*h - 1, -v*h = -8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.12 and -0.4098.\nAnswer: -0.049176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 6:57 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*q + 31*q = -924. Which is greater: q or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(39)\/(sqrt(3) - (sqrt(3) + sqrt(300))))**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 - 4*d. Let r = -19 - -39. Suppose 2*i + 2*i - r = 0. Determine p(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -474 = 5*p - 449 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5963985.\nAnswer: 3, 5, 132533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*t + 4*i + 12, -i = -10*t + 14*t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2291833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 3*l + 4*l)*(l**3 + 5*l**3 - 4*l**3) - 10*l**4 + 45*l**3 - 41*l**3 + 6*l**4 - l**4 + 0*l**4 + 3*l**4.\nAnswer: -4*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 - 7)\/(-4*(-1)\/134) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 1 + 2 + 6*a**2 - 3*a + 3*a**3 - 9. Let t(s) = -3*s**3 - 6*s**2 + 3*s + 6. Let d(m) = 6*t(m) + 5*v(m). Find r, given that d(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 8*i**2 + 5*i + 13. Let y be u(-2). Solve -5*j = -0*c + 5*c + y, -3*c = 5*j + 25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-6))\/(4\/(-24)). Let y(a) = a**3 - a**2 - 5*a + 2. Let d be y(3). Let g = d - f. Solve -4*v - 16 = -2*r, -3*v + 7*v - g*r + 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32578215 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1*(-7)\/(-21))\/((-2)\/18). Let s(d) = 0 + 1 - i*d - 3 + 3. Suppose 5*l - 1 = -3*o + 13, 4*o - 12 = -5*l. What is s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*l**2 - 221*l\/2 - 15 = 0.\nAnswer: -6, -5\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/(k\/(((k\/k**(-2\/5))\/k)\/k)))**45)**(-45))**(-44))**(-44) assuming k is positive.\nAnswer: k**2352240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29.1 + -0.5.\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -5*d + 0 + 1\/4*d**4 + 0*d**3 + 0*d**2. Let c(t) be the first derivative of 3*t**2\/2 - 2. Calculate c(r(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4*t = -6. Find d such that 2*d + 1 - d + t*d**2 - d**3 - 2*d**2 - d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 74\/333 - 182\/9. Which is the closest to w?  (a) -7  (b) 0  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -0.1, -603, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 4*n + 45, 4*n + n + 45 = x. Suppose 5*z - 70 = x. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/122 + -65\/488. Let d = 6 - 9. Let v = -3.3 - d. What is the nearest to 0.1 in v, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3375825489 - -5.\nAnswer: 3375825494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26883 and 89610?\nAnswer: 268830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2051428177 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000253789 to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*s + 236 = -292 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 - (-2 - -1 - 0). Let s = -5 + d. What is the second derivative of z - 2*z**5 - 2*z + s*z wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-58)\/145)\/(10 + (-5096)\/(-70) + 2)?\nAnswer: -1\/212","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = v - 829, 2*v + 5*r - 838 = v. Calculate the remainder when 4770 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/9*384\/416*(-11)\/(-22)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -21*z**2 + 97*z + 238. Let s(v) = 13*v**2 - v + 1. Let k(f) = -i(f) - 2*s(f). Suppose k(c) = 0. Calculate c.\nAnswer: -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 5 - 6)*(45*g**2 + 8*g - 44*g**2 - 3*g).\nAnswer: -10*g**2 - 50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 8 = -9*k. What is the highest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 3*z**2 - 4*z + 3. Let g be f(4). Suppose -4*m - g*d + 1968 = m, 4*d = -16. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2 = -7. Let d(l) = l**2 + 1. Let j be d(v). Suppose 3*n = 4*a - 12, -3*n + 3*a - 9 = -7*n. Solve -3*g + 3*b + 6 = n, g + 5*b + j = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (10 - -91) + (13 - 29) + 16 + -3?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -5 - 0. Sort -5, 5, -4, t in ascending order.\nAnswer: -5, -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2033 + 1?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t + 5. Let r(g) = g**2 - 4*g + 3. Let q be r(3). Let j be i(q). Solve -j*m + 2 = -3*p - 0, -4*m = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -587, -1521, -3075, -5249, -8043, -11457, -15491?\n\"Answer: -310*k**2 - 4*k - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -81.726 rounded to the nearest integer?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 26977440 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -5*n + 6. Let b(r) = -6*r + 2*r + n*r + 0*r. Let d(z) = -3*z**2. Calculate d(b(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -4*o**3 + 2*o - 1. Let w(s) = 17*s**3 - s**2 - 9*s + 5. Suppose 0 = 4*l + 4 + 4. Determine l*w(p) - 9*a(p).\nAnswer: 2*p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -77 + 80. Suppose 0 = -47*r - 1161 + 5767. What is the remainder when r is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90 and 2 + (6 - -83) + 8.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*25\/10)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-68 - -22)*(-2)\/(2*-2). Let z be (-1 - 40\/6)*-3. Let g = n + z. Solve 1 = r - g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12265212 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -3. Let c(r) = 3*r. Let b be c(y). Suppose 64 = o + b*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 6 + 5)*(-l**4 + l**2 - l**2) - 743919*l**4 + 741271*l**4 + 2*l**2 + 28 - 26 to the form p*l**4 + i + f*l**3 + w*l + t*l**2 and give p.\nAnswer: -2646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -22*t - 95. Let k be h(-5). What is the greatest common divisor of k and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 105948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 smaller than -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 8) to base 3\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 390623.3 to the nearest one thousand.\nAnswer: 391000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t - 9. Let g be h(6). Let x(n) = -6*n - 3. Let d(c) = 2*c + 2. Let s(b) = 3*b + 2. Let f(w) = -2*d(w) + 3*s(w). What is g*x(q) - 4*f(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.58, 1, -0.1942, -7, 0.1 in decreasing order.\nAnswer: 1, 0.1, -0.1942, -0.58, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -12 + 4 + 4 - -12155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4074163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-22 + -2)*(-8 + 30\/4). Suppose 0 = 1141*w - 1138*w - z. Which is the closest to 2\/7?  (a) w  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from wwwwwwwwvwwvvwo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lloe. What is prob of sequence oele?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -10, -0.1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*p + 0*p - 3*p)*(-2*p**3 + 8 + 11 - 15) in the form u*p + n*p**3 + i*p**2 + a*p**4 + x and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 8\/(-30) + 6\/(-10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 6. Let t be b(5). Let n = 28 - 15. Calculate the remainder when n is divided by (-22)\/(-4) + t\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 0 - (-18)\/27*45\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63312389 greater than 63312388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**3 + 172980*j**2 - 12825784*j - 145551840 = 0. Calculate j.\nAnswer: -43319, -10, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002282824 rounded to 6 dps?\nAnswer: 0.002283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = 4*h + 4*r + r, -5*h + r = -203. What is the remainder when 5 + (-3 - 6) + (-210)\/(-2) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/((-16)\/(-6)))\/((-9)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d - 111 = -5*k, -8*k - d = -13*k + 153. What is the lowest common multiple of k and 2496?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*k + 3 = 27, -3*w = -k - 2. Let f(n) = 5*n**w - 2 - n + 3 + 0. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 10. Let t = 306 + -301. Which is the biggest value?  (a) s  (b) 1\/6  (c) t  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -119?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + -11. What is the first derivative of 2 + 177*q**d - 183*q**4 - 5 wrt q?\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-3))\/(2\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14948*a**2\/3 + 27368*a\/3 - 5056\/3.\nAnswer: 4*(a + 2)*(3737*a - 632)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -6*g - 69*g**3 - 7*g**2 + 229 + 68*g**3 - 225. Let h(x) = x**3 + 7*x**2 + 7*x + 4. Let p be h(-6). Let s be ((-3)\/(-2) + p)*12. Determine m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 AM and 8:42 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 364000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*k + 21*k + 46*k = -45*k - 192 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 8, o: 4, e: 1}. What is prob of sequence oded?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 3*w**2 - w + 1. Let r be (-1)\/(1 + 15\/(-12)). Calculate q(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/13)*x\/(((x*x**(2\/11))\/x)\/x*x))\/(x*x\/x**(4\/5)*x**(-4)) assuming x is positive.\nAnswer: x**(2697\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -219*h**3 - 2*h**2 - 6*h + 10. Let j(n) = 146*n**3 + n**2 + 4*n - 7. Determine 10*j(s) + 7*q(s).\nAnswer: -73*s**3 - 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 21 = 17*j - 22*j, 0 = -65*j + 62*j - t + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (2 + -1)) + (6 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266*h + 902*h = -738 - 7530 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -4*z**3 - z**2 - 8*z + 2. Let p(s) = 7*s**3 + 2*s**2 + 15*s - 4. Let h(n) = -11*i(n) - 6*p(n). Let j = -1431 - -1433. Give h(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127986869281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15398789 is divided by 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2ce - 0?\nAnswer: 2ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1680 and 6594.\nAnswer: 263760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -39 + 49. Calculate the least common multiple of 26 and x.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**3\/y**(-1\/11))\/(y*y*y*y**(-2\/13)*y*y**(2\/9)) assuming y is positive.\nAnswer: y**(-1258\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -50\/46921 and 2\/248011?\nAnswer: 1736077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 2, 2.7, -4.2, 277?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 77 - 76. Let t be (1\/(-3))\/((-10)\/12). Which is the closest to j?  (a) -0.5  (b) t  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/867 and 2\/48*-2*(2 + -99)?\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/2*6776\/(-1386)*12\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16801875 a multiple of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 677479?\nAnswer: 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1840)\/(-6))\/(-4)*(-7 - -4)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + q + 3 = 0, -x - 9 = 4*x + 3*q. Factor 0*h + h**5 + 0 + 3\/4*h**4 + x*h**2 - 1\/4*h**3.\nAnswer: h**3*(h + 1)*(4*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 8 + 48 = 0. Let g = -95 - -57. Let q = 47 + g. Which is bigger: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + 11*i. Let a be f(-10). Let r be (-8)\/a - (-862)\/10. Let z = 7 - -22. What is the highest common factor of r and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2940 + 2960. Calculate the highest common divisor of 725 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62, -118, -172, -224, -274, -322?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*v - 22*v + 36. Let w(h) = 0*h - 3 + h + 0*h. Let u be w(v). What is the closest to -1 in u, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -398 - -1303. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 0*t + 4*m - 778, -t + 4*m + 359 = 0. Suppose -2*y + 432 = 4*v, 2*y - t + 55 = -3*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 s(f) = f**2 - 2*f - 2. Let b be 5*(-2)\/6 + 800\/120. Calculate s(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108995 (base 11) in base 9?\nAnswer: 283142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24315, 97313, 218989, 389343, 608375?\nAnswer: 876085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2475)\/63)\/11 + 3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1404 (base 5) to base 15.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -63152*l**2 + 10*l + 756121?\nAnswer: -126304*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1047355493.\nAnswer: 4817, 217429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 6*f + 33. Let n(x) = 4*x + 22. Calculate -5*m(l) + 7*n(l).\nAnswer: -2*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.49268 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-31)\/4)\/((-5)\/20). Let u = j - -7. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5*(-60)\/(-200))\/3. Sort 27\/2, c, 0.04 in descending order.\nAnswer: 27\/2, 0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (7 + -7 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10*(-15)\/(-18)*(-1 - 41). Let z = 503 + p. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, q: 4, b: 1, d: 4}. What is prob of sequence qc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -45 + -247443078251.\nAnswer: -247443078296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -94, -228, -446, -766?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + m - 117, 12 + 0 = -4*m. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -68*(4 + 305\/(-80)) - -2 and 34\/(-160) - 2\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 12*n**3 - 4*n**2 - 5*n - 4. Let i(a) = 12*a**3 - 3*a**2 - 4*a - 4. What is 3*i(o) - 2*l(o)?\nAnswer: 12*o**3 - o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 25 = 3*s. Suppose 0 = 6*q - q - 80. Suppose 0 = 4*k - 20 - q. Calculate the remainder when k is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 289965248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/(-3) + (-105)\/(-63). Let j(a) = -a**3 + 3*a**2 + 5*a - 8. Let v be j(3). Suppose v*h + 2 = 8*h. Solve h*q = o*b + 6, 0*q + b - 3 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*-8.1.\nAnswer: -0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 293 = -3*u + 190, -u = -2*k - 154. Let g be (-25)\/(5\/u*(-4)\/65). What is g rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2 + (-3*(sqrt(68) + 5)*5 - (-2*sqrt(204)*1)\/((sqrt(972)*-2 - sqrt(972)) + sqrt(972))).\nAnswer: -271*sqrt(17)\/9 - 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3895 is divided by 1192?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -113, 0, 20, -2, 17 in ascending order.\nAnswer: -113, -2, 0, 4, 17, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(891))*-3)**2.\nAnswer: 162*sqrt(11) + 8028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 - 17*o - 27. Let y be x(10). Determine t so that -11*t**2 + 15*t**5 + 51*t**3 - 37*t**4 - 14*t**4 - y*t**3 - t**2 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009136 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-106)\/36 + 3)*2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -12, a + 32 = -5*d + 8. Is d equal to 507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 3) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 554*m**3 + 8*m + 12*m - 19*m.\nAnswer: 554*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -502*b - 306*b - 505*b - 438*b to t*b + n and give t.\nAnswer: -1751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 21*d + 28. Let x(a) = -6*a**2 - 110*a + 141. Let s(f) = 11*o(f) - 2*x(f). Calculate s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**5 - 170*q**4 + 13954*q**3 - 40278*q**2 = 0.\nAnswer: -137, 0, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -44 divided by 94\nAnswer: -22\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 13570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -23. Put 12, -1\/7, d in decreasing order.\nAnswer: 12, d, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1326633882 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 2*c - 88, -8*s - c = -9*s + 20. Suppose 2*h - 35 = 17. Suppose -l - 8 = -b + 6, -b + h = 5*l. What is the lowest common multiple of s and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 4*l + 10. Give f(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 557*g**2*h**2 + 32*g**2*h + 8*g*h**5 wrt h?\nAnswer: 1114*g**2 + 160*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - z + 145 = 197, -4*t = -2*z + 52 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**44*h**(2\/125) assuming h is positive.\nAnswer: h**(5502\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3797.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 14, a: 2, g: 1}. Give prob of sequence al.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.93673, 2, -1, -0.1 in decreasing order.\nAnswer: 2, -0.1, -0.93673, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5640 by -6.\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/(-6*sqrt(4)*1).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6866348 divided by 4\nAnswer: 1716587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-5)*100\/8. Suppose 4*n - y = -n. Factor 90*j - j**2 - 86*j + j**n - 4*j**3.\nAnswer: -4*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21976 + 21977. Suppose 3*p = -3 - 0, -3*p = -3*h + 69. Solve 3*r - h = -b - 4*b, -r = u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/809475 and -29\/52961?\nAnswer: 170799225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3163 - -4490. What are the prime factors of p?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32*s**2*z**3 + 49383*s**2*z - s*z + 71*z**3 + 2 wrt z.\nAnswer: 192*s**2*z + 426*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 424*r - 423*r - f, 4*r = 3*f - 13 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 1 = -0*r. Let m(c) = 42*c**2 + 124*c**2 - c - 36*c**2. Is m(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f\/f**(1\/73))\/f*f)\/f**(-1) assuming f is positive.\nAnswer: f**(218\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*5\/10)\/(11\/22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**5 + 13652*b**4 - 218616*b**3 + 983968*b**2 - 1749424*b + 1093440 = 0.\nAnswer: -13668, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 939 or 19987?\nAnswer: 19987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 45 = 5*d, 24 - 4 = -5*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (52\/(-130)*-30)\/(1*-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 653*w + 12664 + 17374 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 3) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - -127114624?\nAnswer: 127114623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -5. Suppose -u*n + 3*n - 44 = 0. What is the highest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 184.7008 + -185.7. Let u = x + 1. What is u rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -74 and -1235540.\nAnswer: 91429960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -76*l**5 - 77746*l**2 - 2*l**5 + 77135*l**2 wrt l?\nAnswer: -4680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/10)\/(21\/(-14)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47 - 44. Suppose 63 = t*c - 3*n, 3*c + 0*c + 2*n = 38. Calculate the remainder when 70 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 8*k + 15. Let z be j(9). Suppose 5*a = 2*a + z. What is the second smallest value in 0.4, a, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**5 + 0*y**5 - 2*y**5 + (y**3 + 2*y**3 - y**3)*(y + y - 5*y)*(-126*y + 11*y + 20*y).\nAnswer: 571*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/23 and 79\/1968.\nAnswer: 45264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of 1889*w**5\/5 + 4*w**3\/3 - 27*w**2\/2 + 1638. Find the third derivative of i(d) wrt d.\nAnswer: 45336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106473912.\nAnswer: 2, 3, 4436413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -15*s - 6. Let h be v(-1). Let z(w) = -2*w + 22. Let i be z(h). Solve 23 = -4*o + 3*q + i, 2*o - q + 7 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -782\/737?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6804 and 1038269988?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 58171 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of -10*k**3\/3 + 7*k + 997. Let s(z) = z**2 - 1. Determine -m(w) - 5*s(w).\nAnswer: 5*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.3 - 2.6. Let v = 0.1 + z. Which is the closest to -5?  (a) v  (b) -0.3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*1*7\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 7*j**2 + 2*j - 5. Let q be w(7). Let t be 2*1 - (-27)\/q. Solve 1 = t*k + 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1, -43, -105, -187, -289?\n\"Answer: -10*d**2 - 12*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*q + 5*q - 6*q + 3920 = 0. Calculate the least common multiple of 1544 and q.\nAnswer: 15440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*r + 0*r = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -6*a + 203 - 168, 4*d + 19 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -r + 2*r - 2*f, 4*f = -4*r - 104. Suppose 5*q - l = 244, 2*q - 247 = -3*q - 2*l. Let y = q + r. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 153, 729, 1673, 2973, 4617?\n\"Answer: -2*m**3 + 196*m**2 + 2*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 1, 4, 3, -50, 0.1 in decreasing order.\nAnswer: 4, 3, 1, 0.1, -7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-102)\/(-48) - 3)\/(5\/(-40))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 972784*a + 972781*a + 57 = 0, 33*s - 399 = 3*a for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(68)*2)\/(4*(sqrt(4) + sqrt(4)*1)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 715 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 2*z - 35, 5*l = 4*z - 1 + 6. Suppose -5*x + l*w + 921 = w, -5*x = -w - 909. What are the prime factors of x?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 9, 18, 33, 54?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 441140 (base 7) in base 3?\nAnswer: 10220222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 125175 and 16690?\nAnswer: 250350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 10*i**2 - 5*i + 5. Is d(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 - -18. Suppose -2 = -n - q, n = -b*q + q - 8. Let t be (-16)\/n - (-24)\/36 - 0. Let x(r) = -2*r**2 + 10*r - 9. Determine x(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1649  (b) -2  (c) 2  (d) 1  (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21 + 2110020?\nAnswer: 2110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 - 7868*q - 15752.\nAnswer: 4*(q - 1969)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 187 - 182. Suppose 5*z - f = 4*f - 1210, -3*z = 5*f + 710. Calculate the remainder when z\/(-18) - (-4)\/6 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, q: 2, v: 6}. What is prob of sequence vv?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 623 is divided by 149.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2640001 - (6 - (1 + -3 + 7)). What is s rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 11*r**2 + 11*r + 12. Let n be w(12). Let c(d) = d**2 + 2. Let z be c(n). Solve 0 = -0*q + z*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -193066 - 35?\nAnswer: -1930a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 943 or 13999?\nAnswer: 943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -46864 times 0.419?\nAnswer: -19636.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**3 - 2*i - 12*i**2 - i**2 - 4*i**3 - 18. Suppose -78 = -15*o + 21*o. Calculate the least common multiple of w(o) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2*r = 14964, 3*s - 5*r = s + 7498. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27872 or -28275?\nAnswer: -27872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1424 - 18513\/13. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6496 divided by 4?\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/2*(-12 + 10). Let f(b) = 106*b - 1. Let v be f(s). Calculate the highest common divisor of v and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8 - (-940)\/(-115)) + (0 - 0). Let j(b) = -b**3 - 5*b**2 + 5*b - 7. Let k be j(-6). Which is bigger: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 16*d - 20. Calculate the smallest common multiple of y(-18) and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -41 + 49. Suppose -4*q = -3*q + u*q. Solve 5*k + q*r = -2*r - 13, 0 = -5*k + r - 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39.054 + 39. Let s = -2.204 - y. Let p = s + 0.15. What is the closest to 1 in 2, 5, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -101*z - 96. Let d be u(-1). Let k be ((-6)\/9)\/((-10)\/9). What is the closest to k in d, 3\/4, 3\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*15\/(-378))\/(60*17\/(-1836))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1567 * -0.1\nAnswer: -156.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jtjjauuieetuaee. What is prob of sequence tja?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -4*u - 4*i, 0 = -3*i - 2 - 7. Let y = u - -4. Suppose q - 2*j + 1234 = 0, y*q = -q + 4*j - 1228. What is q rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + 11*n - 8. Give d(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of -w**5\/120 - w**4\/24 + 2*w**2 + 4. Let k(j) be the second derivative of a(j). What is q in k(q) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -220.202 - -220. Let m = -9.498 + d. Round m to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -7*k**2 + k + 1. Let u be j(-1). Let i be (-440)\/(-77)*u\/(-2). Let l be (-30)\/9*(-24)\/i. Let d(b) = b**2 - 4*b + 4. Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13534*i + 685 = 12849*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = o + 6, 87 = 3*o - 3*c + 81. Let v(i) = -2*i. Let u(j) = 8*j - 4 + 9*j + 3. Let m(b) = -2*u(b) - 18*v(b). Calculate m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 139*g**4 - 488*g**2 + 0 + 177*g**4 + 75*g**4 + 0 wrt g?\nAnswer: 9384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -221252 + 0.088.\nAnswer: -221251.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 + 2*d + 5. Let c(w) = 2*w**2 + 2*w + 6. Let p = -2118 - -2112. What is p*v(r) + 5*c(r)?\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-52)\/(-78))\/(50\/(-15))*26\/(-2)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 72 - 10 + 23 + b to k + t*b and give k.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 11263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1080) + -2*sqrt(1080))\/sqrt(10).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -0*i. Let r be 1 - i - (1 + -2). Let l(o) = -3*o**3 + 595*o**2 + 392*o + 1194. Let n be l(199). Solve -6 = r*m + s, -5*s + 14 = -m - n*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/45 + 56\/280?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**2 - 1316*q - 216482 = 0. Calculate q.\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*v + 11*v - 36*v - 5 to the form d*v + m and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2662 divided by -242.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 270, 1396, 4096, 9162, 17386, 29560?\nAnswer: 46476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1548087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -832.24 + 842. Let f = n - 9.8149. What is f rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*z + 2*t + 88 = 41*z, 2*z + 4*t = 96. Which is the fourth biggest value?  (a) 2  (b) z  (c) -0.3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 554309101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 48*b - 222. Calculate the lowest common multiple of h(5) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 192 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(1\/2))*c**(-5\/4))\/((c**(1\/5)\/c)\/(c*c*(c**(-1\/4)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3050 is divided by 1524.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 177 - 127\/6*c**6 + 0*c + 0*c**5 - 11\/2*c**2 - 1\/3*c**3 + 0*c**4. Find the third derivative of d(f) wrt f.\nAnswer: -7620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/2*(10\/(-10))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*(15\/10 + -2). Suppose -3*j + 6*j + 5*u - 16 = 0, 3*j - 4*u = -29. Does 12 divide m\/j - (-292)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.2 - 0.2. Let h be (3 + -4)\/(-1) + 1. Suppose 4*y = 5*q - 23, -y + 3 = h*q - 1. Which is the biggest value?  (a) y  (b) m  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 65 + -64.38. Let u = 4.62 - j. Which is smaller: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 55106743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -18363  (b) 4\/5  (c) 3\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + -21. Let y = -11 - 13. List the prime factors of (-234)\/y - p\/8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d**2 - 57*d - 19. What is the smallest common multiple of 30 and t(-8)?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.12, -0.4, 3\/4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 113430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -6373*g - 2808. Let t(r) = 9559*r + 4245. Let s(h) = -5*t(h) - 7*x(h). Find the first derivative of s(i) wrt i.\nAnswer: -3184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2764*w + 1525*w - 241444 = 196*w + 278367 for w.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46095 is divided by 518?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(65) - (sqrt(65) + (sqrt(65)*2 - sqrt(65)) - sqrt(65))) + sqrt(65) + (sqrt(65) - 6*(sqrt(65)*-1 + sqrt(65))))\/(sqrt(320)*-2*-6).\nAnswer: sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4*5.81\nAnswer: -23.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1170 divided by -195?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (38\/5)\/((-200)\/(-125)) + -5. Which is the fourth biggest value?  (a) x  (b) 0.23  (c) 0.7  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.01 - -81.59. Let a = -85 + w. Let m = 10 - 7. Does m = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-7) + (-6)\/21. Let c(u) be the first derivative of 0*u + 1\/2*u**t + 1 - 3\/4*u**4 + 0*u**3. Find the second derivative of c(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 - (-21 + (-23 - -50)) - -57?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, 213, 328, 425, 498, 541, 548?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1396*w**3 + 2835*w + 5601*w**3 - 2835*w.\nAnswer: 6997*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvjvvvvv. Give prob of picking 4 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 1 + (1 - 12 - 6)*(-3 + 7 - 3))*(2 + 3*b - 2).\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1033432.\nAnswer: 2, 101, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 115.17732 to 2 dps.\nAnswer: 115.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13796467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3900*w**4 + 7792*w**3 + 3884*w**2 - 8*w.\nAnswer: 4*w*(w + 1)**2*(975*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 911462 = -3174*x + 3205*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 692.86um?\nAnswer: 0.00069286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - -2) + -15 + -4. Let c = 22 + z. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 - 24) + 13 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -5, 0 in descending order.\nAnswer: 0, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7588?\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/28 - (-141)\/126. Is 2 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(1\/(-2)*(-4)\/(-26)*2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -515 and 0.06.\nAnswer: -514.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 195897*o*q**2 - 2*o*q - 8854856*o - q**2 wrt q?\nAnswer: 391794*o*q - 2*o - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 48*l**2 + 15. Let t(g) = 25*g**2 + 7. What is -3*o(m) + 5*t(m)?\nAnswer: -19*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-2755)\/2185*-115*(-6)\/10\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - ((-8 - -7) + 2*58). Let s be 9\/(i\/(-20)) + 2\/(-1). Is 0.8 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 41300 and 1770.\nAnswer: 123900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2445 (base 6) to base 4.\nAnswer: 21131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m + 83. Give i(-11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.44227*5.\nAnswer: 2.21135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-54)\/36)\/((-371)\/(-570)). Let p = h - -1\/53. What is the common denominator of 7\/2 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, a: 2, h: 2, v: 2}. Give prob of sequence avvz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/27 and 31\/282.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 634109 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19\/5 in -0.3, 0.2, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23063788, -46127605, -69191422?\nAnswer: -92255239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245408.\nAnswer: 2, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 36291387383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 955 = -5*r, 4*r = d - 3*d + 376. Suppose 6*w - 5*g - d = w, -5*g = 4*w - 107. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -244, 3, -9, 0.5, 1\/3 in increasing order.\nAnswer: -244, -9, 1\/3, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -14*q - 19. Let b(t) = 40*t + 56. Determine -6*b(i) - 17*h(i).\nAnswer: -2*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w + 11*w - 5*v + 31 = 0, -w - 4*v = -1 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111011100110 - 101100001100110?\nAnswer: -110011101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - -3)\/((-6)\/(-12)). Let u be m\/(-4*(-2)\/4). Is ((-50)\/8 + u)*-44 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -316 - -236. Let t = b - -549. What are the prime factors of t?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1520 and 16.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-2\/9)*(r*r**(-1)*r)\/r)**(-1))**(-25))**(2\/47) assuming r is positive.\nAnswer: r**(-100\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 8 - 1)*(0 + 3 - 1)*(-10*v**2 - v**4 + 8*v**2 + 17*v**2 + (-2*v**2 + 2*v**2 + v**2)*(-v**2 - v**2 + 0*v**2) - v**2 + v**2 + v**4).\nAnswer: 16*v**4 - 120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**5\/15 - 16*g**4\/3 + 4146*g**3\/5 + 128036*g**2\/15 - 14813656*g\/15 - 10012912\/5 = 0.\nAnswer: -91, -39, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 63 = -5*c, -3*h + 6 + 57 = 3*c. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(12\/8)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3143381197.\nAnswer: 11, 47, 552731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -774, -2992, -6686, -11856, -18502?\n\"Answer: -738*g**2 - 4*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -7*r**3 - 5*r**2 - 7*r - 6. Let p(k) = -15*k**3 - 10*k**2 - 14*k - 12. Let o(b) = 6*p(b) - 13*w(b). Give o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 12:09 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (27\/(-36))\/(2\/(-160)*-4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*r**5 - 2*r + 1 + 7*r**5 + 33*r**5 + (0*r**3 - 5*r**3 + 3*r**3)*(-3*r**2 + r - r) - 4*r**5 + 11*r**5 + 5*r**5.\nAnswer: 69*r**5 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of g**3\/3 + 121*g**2\/2 - 2*g - 23. What is the tens digit of f(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2131 (base 6) in base 8?\nAnswer: -747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 92007986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -5*n + 2250, 0 = 3*q - 4*q. Let p(l) = 6*l + 20. Let r be p(5). What is the greatest common divisor of n and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/13)*g*g**(-12) assuming g is positive.\nAnswer: g**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1*((-1668)\/14595)\/((-8)\/14)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12  (b) 1.31  (c) 0.104  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 10*n - 48. What is the remainder when 109 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 484682 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7910, -10378, -14492, -20252?\n\"Answer: -823*v**2 + v - 7088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 9 - (-2 - (0 - -2))) + -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) -1\/3  (c) -6\/17  (d) 2\/5  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v - 5*v + 0*v)*(-2*v**2 - 5*v**2 + 5*v**2)*(3*v - 14*v - 16*v).\nAnswer: -108*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26185 (base 14) to base 16.\nAnswer: 16da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 7*c + 3. Let w be s(7). Suppose -w*u + 18 = 6. Suppose -66*n + 55*n = -33. Solve -2*r - n = -u*b + 3*b, -r + 1 = -b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-24)\/(-10))\/(96\/2080). Suppose -p*v = -61*v + 4644. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 14, d: 5}. Give prob of picking 1 r and 3 d.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 7*t + 130. Let p be d(-11). Suppose -56*m = -p*m - 921. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 divided by -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(3 + sqrt(704)) + -1*sqrt(704)*-2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 10*t**2 - 31*t - 6. Let v(g) = -g**3 + 10*g**2 - 30*g - 5. Let q(r) = -6*v(r) + 5*z(r). What is x in q(x) = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -86bb6 - 3?\nAnswer: -86bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 382347 divided by 2499?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1782737 a multiple of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17163*n**3 + 8585*n**3 - 6376*n - 1600*n**5 + 8578*n**3 wrt n?\nAnswer: -32000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7691 - 6851. Sort 4, -0.5, -3, c.\nAnswer: -3, -0.5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 + 19.16. Let v = r - -0.14. Let o = -0.3 - -0.4. Sort -0.1, v, o in decreasing order.\nAnswer: v, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t - 4*t - 9*t - 2. Let n(v) = 4*v**3 - v**2. Let i be n(-1). Let b(h) = 240 - 438 + 197 - 4*h. Calculate i*b(q) + 2*f(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of 6*z**5\/5 + 5*z**4\/2 + 4*z**3\/3 + 14. Let l(p) = 0. What is p?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**4 - 7*h**4 - 13*h**4 + (2 - h - 2)*(7*h**3 + h**3 - 3*h**3 - 2*h**2).\nAnswer: -23*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 18*o**3 - o**2. Let j be w(-1). Let q = j + 22. Solve l = q*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -745?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6894 by 841.\nAnswer: 6894\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009844 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -13 + 9 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12*57\/(-152))\/(-9)*34.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -17*q**3 - 7*q**2 - 4*q - 12. Let k(i) = 12*i**3 + 5*i**2 + 3*i + 8. Let p(x) = 7*k(x) + 5*z(x). Give p(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2464 by -1232.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 12. Let r(q) = -q**2 - 3*q - 7. Let i(p) be the first derivative of -p**3\/3 - p**2 - 5*p + 1. Give s*r(c) - 7*i(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 129, 191?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*p**3 - 179*p**4 - 18*p + 52*p - 35*p to the form m*p**4 + x*p**2 + t*p**3 + q + g*p and give m.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -11*r**9\/2520 - 7*r**5\/30 + 25*r**4\/12 - 13*r. Let t(g) be the third derivative of j(g). Differentiate t(z) wrt z.\nAnswer: -264*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 3*m + 2. What is k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by 2835\nAnswer: 13\/2835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - 3)*6\/((-66)\/52943) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -0.008  (b) -4\/3  (c) -3\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(360)\/(sqrt(18)\/sqrt(2)) + sqrt(240)\/(sqrt(6)*1))\/(-5*(sqrt(800) - 4*sqrt(800)) + sqrt(800)).\nAnswer: sqrt(5)\/80 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 924192 and 346572.\nAnswer: 2772576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 + 35. What is the remainder when 32 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24\/23 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1038, -313, -3, -2 in descending order.\nAnswer: -2, -3, -313, -1038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 227*d**2 + 13156*d - 650. Determine g(-58).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 3*t + 1, 0 = 3*t - 3*c + 5 + 1. Let p(z) = t*z**2 + 34*z - 27*z + 5*z**2 - 8 + z**3 - 1. Is 7 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8 - ((1 - -1) + 16 + (19 - 32)). Solve -115 + 81 = -4*x - 2*d, 3*d = z*x - 12 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of -1819*s**2 - 6279*s + 9768. Find the first derivative of u(i) wrt i.\nAnswer: -3638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3978 and 3366?\nAnswer: 43758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -257, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 163 by 1732.\nAnswer: 163\/1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.1 - -3.1. Let h = 3.1 + -3. What is the nearest to h in -3, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 113 + 20. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 14  (b) -4  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183*i - 222*i = 117 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(832) - (-2*sqrt(832) + -3)) + -1)**2 - 3*(sqrt(832) + (1 + sqrt(832))**2)*6) + 3.\nAnswer: 2016*sqrt(13) + 45015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 414.1 + -406.311. What is l rounded to one decimal place?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 78 + -76. Is (1 - 2)\/c + (-53694)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(95) - (sqrt(95) - (sqrt(95) + sqrt(95)*-2)*5 - sqrt(95) - sqrt(95)))\/(sqrt(5) - sqrt(5)*2*5) + (2 + sqrt(1539) + 0 + sqrt(1539)*2*2)**2).\nAnswer: 541*sqrt(19)\/3 + 38479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -19944.64 minus 0?\nAnswer: -19944.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*j + 2 - 42 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/(-6))\/((-2)\/(-56)). Let h = q - -17. Find the first derivative of -n**3 - 6 + 0 + 0 + 8*n**h wrt n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 259365.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 697, 701, 705, 709, 713?\n\"Answer: 4*v + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1122, -1019, -836, -567, -206, 253, 816?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5983 times 15?\nAnswer: -89745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 9:26 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 99, 223, 387, 585, 811?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + 5*(sqrt(5) + sqrt(15)\/sqrt(3)))*3)**2.\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*i + 773 - 4094. What is the remainder when i is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-4))\/(3\/6). Let r(t) = t**2 + 2. Suppose 3*u = 4*f - 6, 0*f - 4 = 2*u - 2*f. Let a be r(u). Sort s, -3, a in descending order.\nAnswer: a, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**3 - 4*l**2 + 6*l + 7. Let c be t(-3). Suppose 0 = -19*g + c*g + 348. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 82\/165 and -56\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, 3035, 3 in decreasing order.\nAnswer: 3035, 3, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-15)\/10*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2 + -1)*0 + -1)\/(1305 - 1306).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-105)\/(-70))\/(9\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -780 = -5*r - 65. Suppose -2*i = -4*l + 14, 0*i - 6 = 2*i. Suppose -r = -l*p + 63. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.446 - 0.554. Which is the second biggest value?  (a) -5  (b) z  (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*p + 14*p + 346518 = 1871158. What is the ten thousands 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\/2?  (a) 1\/1773  (b) 152  (c) 0.1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.08 - 214.\nAnswer: -217.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/54340 and 20\/209?\nAnswer: 54340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -y + 853, -2*y = -q - y + 291. Suppose -2*s - m - q = -5*s, -4*m = 2*s - 214. What are the prime factors of s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.9 - -0.1. What is the second biggest value in 11, -2\/15, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2340 (base 5) to base 6.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130727 is divided by 209?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 + 323300333?\nAnswer: 323301011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10011, 19170, 28329?\n\"Answer: 9159*f + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-3)\/(-88))\/(795\/6572) and -3\/770.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**5 - 3 + 3 + (-3*f**2 - 4*f**2 + 5*f**2)*(-2*f**3 + 7*f**3 - 48*f**3) - 3*f**2 + 3*f**2 - 4*f**5 + (4*f - 3*f - 3*f)*(-4*f**4 + 5*f**4 + 0*f**4).\nAnswer: 79*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3954649775 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (b - 4*b + 2*b)*(4*b**3 + 0*b**3 - 3*b**3) + 159 - 159 + 61*b**4 to z + q*b**4 + k*b + d*b**3 + u*b**2 and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 4*s - 12. Suppose -30 - 15 = 5*q. Let d = q + 9. Solve -3*p + s = -d*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33143075 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 295 and 1593.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -60165 * -0.2.\nAnswer: 12033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1070*b**6 - 63*b**2 + 3.\nAnswer: -128400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 - -48. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2697999, 2698448, 2698897, 2699346, 2699795?\nAnswer: 2700244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1b1 + 86?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 8*a - 7. Let r be 54\/10 + (-18)\/(-30). Let x be l(r). Solve 2*j = -2*t + 12, 2*j - 6 = -2*j + x*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/9, 0.0492, -0.891 in ascending order.\nAnswer: -0.891, -4\/9, 0.0492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-320)\/784)\/((-4)\/(-14)))\/((-4)\/28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/3*236)\/((40\/700)\/((-405)\/4725))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.4  (b) 3\/4  (c) 34085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/3)\/((-1)\/(-21)). Let o = x + 16. Solve j + d - 1 = -0*d, d = -o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*f - 8*f = -16*f - 2*f - 34*f. Let h = 2 + 0. Which is the closest to 1\/2?  (a) -12  (b) f  (c) 0.2  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 910206 + 7955534. Let m = -8022870 - x. What is m rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 49*o**2 - 115*o + 663. Let k be u(51). Solve -20*m + k*m = 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 - -28. Put -1\/16, u, -5 in decreasing order.\nAnswer: u, -1\/16, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t + 1. Let v be j(-4). Let u = 30 - 21. Let n = v - u. Solve -l + n*l + 17 = 2*s, -3*l - 5*s - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 942 is divided by 805.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/5)\/(318\/(-1378)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 513\/(-1710) - 3363\/(-10) and 16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.473 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-1)*10\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 19*h**2 + 3*h - 10. Let x be k(4). Suppose -5*d = x + 19. Let o = d + 155. What is the highest common factor of o and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - -18 - -52) + 23 + 16\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 4:55 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -8461, -0.2, -1.4204 in increasing order.\nAnswer: -8461, -1.4204, -0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 24480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 + 693172*z**2 - 49892832*z + 897977664.\nAnswer: -4*(z - 173221)*(z - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 10*x**2 - 24*x. Let p be m(-12). Suppose p = -7*u + 9*u - 190. List the prime factors of u.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 4*s**2 - 10*s - 6. Let j be f(6). Let h be 10\/(-4)*-2*1. Suppose 4*i + r - j*r = 16, h*i = 4*r + 29. Round i to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 421, 418, 413, 406, 397, 386, 373?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12303111321 (base 4) in base 8?\nAnswer: 6632571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 8. Suppose -2*t + 1 + 1 = b. Calculate the common denominator of 161\/30 and t\/(3 + 9)*-7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 34?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -113*y**3 + 1982*y**2?\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -272986*z + 1637897. Determine n(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 82 - 82.41. Let k = y + 0.01. Let n = k + 0.2. What is the closest to 1 in -0.3, n, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1457820 divided by 1602\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, l: 8, t: 3, n: 2}. Give prob of sequence nb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-14)\/(-8) - -5) + (-5 - 1). Which is the biggest value?  (a) 4  (b) i  (c) -1  (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from varoaasoslaavasoa. What is prob of sequence oo?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 40 = -5*p, -3*p + 20*b - 24*b + 31 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 390 and 242023470?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 107744 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1*128\/(-16))\/8)\/(8\/(-9)*3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86900, 173839, 260778, 347717, 434656, 521595?\nAnswer: 608534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 1, 0*a + 3*n = a - 19. Suppose 94 = 3*l - 29. Calculate the remainder when l is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 - -774156513.\nAnswer: 774156518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 30*k**3 + 30*k**2 - 238*k - 262. Let f(x) = 19*x**3 + 20*x**2 - 159*x - 175. Let i(t) = 5*d(t) - 8*f(t). Solve i(g) = 0.\nAnswer: -9, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -376, -766, -1202, -1684?\n\"Answer: -23*j**2 - 321*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 1998?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -38*c - 1. Is s(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4709 (base 10) in base 12?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15880 by 1808.\nAnswer: -1985\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -186*z + 182*z - d - 22, -d = -3*z - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1499 a factor of 459981641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25)\/(6750\/(-20)))\/((-2)\/(-12))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 2*b = 1422, 4*u - 1836 + 708 = -4*b. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - z**2 - 2*z + 2. Let k be d(1). Suppose k = 4*u - u - 243. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 135, 146, 167, 204, 263?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 2)\/((-2)\/(-4)). Suppose 0*l - k*x = -l + 13, -l - 3*x = -6. Let y be -3*(-1 - (11 - 0)). What is the greatest common divisor of l and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -40*c + 14. Suppose -5*l + 286 - 346 = 0. Is 26 a factor of y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**5 - 310*u**4 - 1908*u**3 - 3848*u**2 - 2576*u = 0. What is u?\nAnswer: -2, 0, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-62 - -70 - (-1 + -1)) + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 7*b**2 + 16*b + 8. Let r(p) = p**2 + p + 1. Let y(t) = o(t) - 6*r(t). Determine y(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19786*h - 704070 = 27609*h for h.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8\/133 + 979\/798. Let a(q) be the third derivative of -q**2 + 1\/24*q**4 + 0*q + 0 + y*q**3. Calculate a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 6:24 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 152067 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**2 - 3*k**3 + 0*k**3 + 1099718*k + k**2 - 1099821*k.\nAnswer: -3*k**3 - 103*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/7070 and 113\/26190.\nAnswer: 18516330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 12. Let f(o) = o**3 - 2*o + 1. Let d(x) = -8*x**3 - x + x + 2 - 3*x + 9*x**3. Suppose 4*s = a + 6, a + 0*a + 9 = 5*s. Give a*f(v) + g*d(v).\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-5 + 2)*-2. Let g be ((-2)\/o)\/((-2)\/(-12)). Let t(m) = -2*m + 20. Let k be t(12). Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) 4\/3  (c) -51  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 80089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 267?\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 7*r - 1623. Suppose -2*s + 1065 = 5*d, -s = 5*d + r - 1601. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4623\/10 and 463 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-20)*(7 + (-30)\/6). Which is the closest to m?  (a) 5  (b) -0.2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1565 - -1568. Solve -5*m = x - 10*m - 19, 2*m + 5 = z*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -7*f**3 + 2*f**2 + 48*f + 20. Determine c(6).\nAnswer: -1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/5  (b) -5\/4  (c) 5  (d) -8092  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63.063 + -818504.6339.\nAnswer: -818441.5709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**2\/7 + 2818044*n - 6948700487694 = 0. Calculate n.\nAnswer: 4931577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -335.267379 - 0.042621. Let k = h + 338. Let c = -0.31 - k. What is the nearest to 1\/3 in c, 5, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 10, -2\/11, 16, -0.05, 0.\nAnswer: -0.5, -2\/11, -0.05, 0, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 865 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -3*q - 32. Let t(r) = 14875*r**2. What is k(t(u))?\nAnswer: -44625*u**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5955, -6194, -6433, -6672, -6911?\nAnswer: -7150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, -3, -1419, -2, -4 in descending order.\nAnswer: 2, -2, -3, -4, -6, -1419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.8 + -1. Let j = z - 0.1. Let i = j + 0.3. Is i <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) 5  (b) -0.5  (c) 2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - 80\/(-36))\/1. Which is the fourth smallest value?  (a) r  (b) 1  (c) -2\/13  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5881723 and 2?\nAnswer: 5881725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 6*d + 2. Let f be 4\/32 - (-444)\/32. Suppose -3*t = -f + d. Solve -u + 6 = -t*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 5) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 218004*m**2 - 195*m + 194. Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven thirds of a hour in seconds?\nAnswer: 80400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/5 + 9494*x\/5 + 225700.\nAnswer: 2*(x + 122)*(x + 4625)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of -d**6\/120 - 2*d**5\/15 - 2*d**4\/3 + 6*d**2 - 2. Find t such that o(t) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/90)\/((13\/(-156))\/(8\/208)).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 447\nAnswer: 134.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**4\/19 - 108*n**3\/19 - 288*n**2\/19 + 972*n\/19 + 2754\/19 = 0.\nAnswer: -51, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -74785, -84531, -94277, -104023, -113769, -123515?\nAnswer: -133261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 167562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-816)\/36)\/(4\/18). Round m to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*a**2 + 9*a**2 - 3*a**3 - 2*a)*(-796*a - 120188 + 120188) as r*a**2 + s + u*a + o*a**4 + b*a**3 and give o.\nAnswer: 2388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5992367057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 49994 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11016 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (105\/(-714)*-17)\/(3\/(-1))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4140359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 136 + -133. Let i be -3 + ((-968)\/(-2) - v). Suppose a + i = 3*r, 2*r - 269 - 47 = 2*a. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.320999167 - 0.321. What is h rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + l = -66, 4*l - 19 - 6 = o. Let h(q) = 3*q**2 + 29*q + 116. Is 35 a factor of h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -7*z + 181. Let b be w(26). Let m be 12\/(-2 + -1)*2\/b. Solve -9*h = -7*h - m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28 (base 10) to base 2.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1*sqrt(252)*1 + ((sqrt(252) + 1*sqrt(252)*2)**2 - sqrt(252)) + -3 + -5 + (sqrt(252) + 0)**2)*4.\nAnswer: -48*sqrt(7) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4be (base 16) to base 15\nAnswer: -55e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1838 + -1255. What is the highest common divisor of 44 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 PM and 8:06 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(468) + 0)**2 + 0.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/12811 and 59\/581095?\nAnswer: 323669915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oioi. Give prob of picking 1 i and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011000111 + 1001010110?\nAnswer: 10100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {l: 2, o: 4, v: 4, u: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3225 divided by -215.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2420) + 2*sqrt(2420) + sqrt(2420))\/sqrt(10).\nAnswer: 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1187 + 2615. Is g a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 324 + -308. Let g be 64\/12*2\/j. Put -2, g, -9, -4 in ascending order.\nAnswer: -9, -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50525.\nAnswer: 5, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/4 and -63\/82.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -4*w + 4, 3408*t + 4 = 3*w + 3404*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w**2 + 1. Give m(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(((-2)\/(-4))\/(-1)). Suppose 4*c - 8 - w = 0. Solve 0*t - c*v = t - 21, -t = v - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3692.16669 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**2 - 318659 + 318659.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 4*c - 23500 + 4516, -5*c + 3*i + 23736 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -157*v**3\/3 + 2*v**2 + 3*v + 30. Let r(c) = -c + 1. Let o(j) = 3*r(j) - z(j). What is the units digit of o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*u**5 - 2*u**5 + 4*u**5 + (0*u**2 + 3*u**2 - u**2)*(2*u**3 + 0*u**3 - 3*u**3)*(5 - 7 + 1).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 389 divide 754660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/((172\/(-430))\/(2\/35))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p - p + 5*p - 2)*(-2101 - 2265*p - 2481*p + 2099)*(2 - 3 - 1).\nAnswer: 9492*p**2 - 18980*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8424)\/5616)\/((-6)\/176*-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 3) + 364\/(-8). Let z = x + 26. Is -19 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11\/26 - -1\/13. Find d, given that -d**2 + 1 + f*d - 1\/2*d**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159323.\nAnswer: 107, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 77755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0967184 + -0.08939. What is c rounded to four decimal places?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 4374585.\nAnswer: -2\/1458195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 5:14 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/4*(-1)\/(-18)*6)\/((-6)\/27).\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1760.928 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21*t**4*z + 36174*t**3*z + t**3 + 8*t**2 - 300650*t + z - 2 wrt t.\nAnswer: 504*t*z + 217044*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 81, 178, 275?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1743141 or -101?\nAnswer: 1743141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 4, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5*k + 1 - 3*k)*(39 - 39 + 4*k**2 + (-2*k - 1 + 1)*(k - 2 + 2)).\nAnswer: 4*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -582\/13 at most -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g - 12. Let f be a(9). Suppose 56 = -4*j - 2*m, -m = j + f + 6. What are the prime factors of -1 - 18\/j - 1918\/(-16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 8 = -5*s, 5*s = 9*y - 13*y - 14. Is 2\/65 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 - 0 - (0 + -4358 - 1416\/177).\nAnswer: 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -8. Let x be (n - -2)*1 - 1. What is the least common multiple of 8 and 21\/x + (-2)\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 670 a factor of 155440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.8751  (b) 1\/6  (c) 2\/3  (d) -3\/79  (e) 3  (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r**3 + 5*r**4 - 9*r + 735*r**2 + 374*r + 383*r**3 = 0. What is r?\nAnswer: -73, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*x**5\/4 - 1225*x**4\/8 - 10203*x**3\/4 - 107865*x**2\/8 - 89725*x\/4 + 4125 = 0. What is x?\nAnswer: -6, -5, 1\/6, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1630426 = 77*x - 462*x + 3656009. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*t + 13 = 0, -9 - 2 = 5*o + 4*t. Let p(m) = -2 + 1 - 2*m - o. What are the prime factors of p(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 9:49 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-2 + -1 + sqrt(80))*-4 + (6*(sqrt(80) + -1 + sqrt(80)))**2 + sqrt(80) + sqrt(80)*1*-6 + sqrt(80) + -1.\nAnswer: -608*sqrt(5) + 11572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -5. Let r = -16 - -22. Calculate the remainder when r is divided by w + 3\/((-6)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7\/130 + -5237\/520. What is the common denominator of 93\/160 and p?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 987 + 32*u - 2*u**2 - 987.\nAnswer: -2*u**2 + 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -79, 9, 3, -2 in increasing order.\nAnswer: -79, -2, 3, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 209445885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of -y**4\/12 + y**3\/2 - y**2\/2 + 80*y - 1. Give g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((9\/(-27))\/((-3)\/(-9)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i - 5*o + 38, -i - 7 - 19 = -5*o for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -8281, -14476, -20683, -26908, -33157, -39436, -45751, -52108?\n\"Answer: -j**3 - 6188*j - 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -556 by -80251.\nAnswer: 556\/80251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/((2 - 1)\/8). Let l = 4562\/19 - f. What is the second smallest value in 2\/7, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43 (base 9) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 591, -3, -1\/43 in ascending order.\nAnswer: -3, -1\/43, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 5*j**2 + 2*j + 6. Suppose 5*t = w + 5, 6 = 2*w - 3*t + t. Calculate the remainder when 61 is divided by a(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n. Let v(x) be the third derivative of -2\/3*x**4 - 1\/6*x**3 - x**2 + 0 + 0*x. Determine v(u(l)).\nAnswer: -32*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 2, 14708, -5 in increasing order.\nAnswer: -5, 2, 19, 14708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 10*v - 12. Suppose 0 = 3*u - 9 - v. Suppose -u*z + 20 = -20. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**7\/2520 + f**6\/180 - f**5\/24 + f**4\/24 + f**2. Let p(z) be the second derivative of j(z). Give p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/9320 and 27\/46486.\nAnswer: 216624760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(4 + ((sqrt(190) + (2*sqrt(190) - sqrt(190)) + sqrt(190) + sqrt(190))*-2)\/(sqrt(1440)*2 - sqrt(1440))).\nAnswer: -24 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -16*d - 1. Let x be u(-5). Let j be x\/7 + 16\/(-56). What is the greatest common factor of j and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 2*s + 16 - 4, -4*t + 2*s - 2 = 0. Suppose -3 = -v - y - 7, 3*y = t*v + 13. Sort 0, -19, v in descending order.\nAnswer: 0, v, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 142 - 127. What is the first derivative of 2*c**3 - 57*c**3 - 6*c**3 - g wrt c?\nAnswer: -183*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p**2 + 81*p + 133. Determine o(28).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 410303241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 56236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -7*t**2 + 9*t - 2. Let m(x) = -x**3 + 5*x**2 - 2*x + 5. Let p = -5 - -10. Let v be m(p). Let w(i) = -4*i**2 + 5*i - 1. Give v*w(n) + 3*r(n).\nAnswer: -n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2772000 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4752 and 3348?\nAnswer: 147312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -26*s + 1479. Calculate k(47).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-148))\/3*(3782\/183)\/31.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 260 + -257. Solve w + 14*g - 10*g = 13, 5*w + q*g + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - 8*q + 13. Let o be d(6). Let b = o - -3. Suppose 0*v + b*v - 148 = 0. What is the greatest common divisor of v and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*m**3 + 27*m**2 + 460 wrt m.\nAnswer: -15*m**2 + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - z. Suppose -2 = 2*t - z. Suppose 3*s - 15 = -v - v, 5*v + 5*s = 30. Which is the nearest to t?  (a) -2  (b) -0.3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6.5 + -16.9. Let m = k - -24. Let u(g) = -g**2 - 6*g - 2. Let i be u(-5). Which is the third smallest value?  (a) i  (b) m  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 84 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -9358?\nAnswer: 3\/9358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16571 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -5*l**2 - l - 1. Let b be q(-1). Let k(h) = -h**2 - 5*h + 4. Let z be k(b). Is -28*((-7)\/z)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/21*1\/(-2). Let w = -1038 + 1040. Put v, -2, w, -5 in descending order.\nAnswer: w, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c = 5*c - 20. Suppose -3*n - 2*n = 25. What is the third biggest value in c, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -6. Suppose 2*q + n - 6 = -2, 4*q - 3*n = -j. Which is smaller: -2\/65 or q?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2350 and 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - 1227.7176?\nAnswer: -1227.8176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1719 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 417 - 417.000366. Round k to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 - -79\/3. What is the biggest value in c, -2\/7, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1299 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -381462*l + 23654 wrt l?\nAnswer: -381462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, a: 5, s: 1, p: 1, w: 3, u: 4}. Give prob of picking 1 u and 1 p.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -1191?\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1095 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-13786)\/(-1590) - 248\/31. Let z = w + -1\/265. What is the nearest to 0 in z, -0.5, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7739 + 2888. Calculate the common denominator of 21\/10 and d\/84*(-2)\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7552, 30218, 67990, 120868, 188852, 271942, 370138?\nAnswer: 483440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17\/2 in -250, -1.1, -2\/5, 5, 17?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 195 and 175358805?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23\/50 - 1\/25. Put 0, -5, t in decreasing order.\nAnswer: 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -722 - -389. Let l = v - -332. Is l less than 3\/98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*m + 4*f - 4, -69 = -3*m - 3*f - 66 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from knttjvttyvvtjttyyvy. Give prob of picking 1 j, 1 k, and 1 t.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3265577 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do -43201003 and -43201001 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -930 + 1308. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -16 + 3*(-2)\/(-6). Let d be u*(-4)\/((-6)\/(-3)). Calculate the highest common factor of 75 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29.949 + 0.051. Let x = 684 + -654. Let y = t - x. Which is the nearest to 5?  (a) -0.5  (b) -2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7436 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 12*j**2 - 23*j - 5. Suppose -61 = 3*x + 5*y, -2*x - 8*y = -5*y + 39. What are the prime factors of s(x)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 218 = 78. Suppose 5*n - 133 = -4*x + 30, 39 = x + 3*n. Let v = f + x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*z + 8 = -4*z, 2*s + 5*z = -11. Let l = s + 0. Find the third derivative of 0 + 5*n**l - 4*n**5 - 2*n**5 + 0 wrt n.\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -4*p + 17, -5*h = -p - h + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06103 in -3, -4, -9.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3154030527?\nAnswer: 3, 1051343509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 34 = -5*j, -2*j + 0*k + k + 18 = 0. Suppose j = 3*b - 7. Solve -5*p = -b*f + 20, 3*p + 3*f - 12 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 2*i**4 + 26*i**3 + 90*i**2 - 50*i - 500 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 13. Let o(y) = y - 17. Let n(f) = -6. Let c(u) = -2*n(u) + o(u). Give c(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49*(-24)\/168*-2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -151139\/84 greater than or equal to -1799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.25 - 0.05. What is the smallest value in 4, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202469.68 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186*o + 50*o + 26635 = -41909. Calculate the greatest common factor of o and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65455 = 930*b + 77*b for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.285774625 to 4 decimal places.\nAnswer: 0.2858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 73779.\nAnswer: 8\/73779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 2. Let d = 1 + j. Suppose 0 = -0*w - d*w. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*h + 180*h + 793 + 1066 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 214728, 429459, 644196, 858945, 1073712?\n\"Answer: t**3 - 3*t**2 + 214733*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -8*r**2 + 9*r - 3. Let b(p) = -12*p**2 + 13*p - 4. Let c(a) = 5*b(a) - 7*w(a). What is c(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 2*z - 3*z)*(0 + 2 + 0) + (-4 + 2 + 1)*(15 - 10 - 25)*(2 - 6 + 2)*(2*z - 3*z + 6*z).\nAnswer: -198*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5239859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 7:19 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47 + 5237*t - 3*t**2 - 5237*t to m*t + r*t**2 + h and give h.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -408 and -6.3687.\nAnswer: 2598.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, l: 1, t: 2, i: 7, o: 4, u: 4}. What is prob of sequence iet?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 242\/8 + (-12)\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j - 21 = -9*s + 6*s, 3*j - s + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9338 and 411191.\nAnswer: 132403502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 875*g - 12 = 3*o + 874*g, -10 = -2*o - 7*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {c: 1, p: 5, r: 5, s: 7}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 182 and -0.0614.\nAnswer: -11.1748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -848 in -2\/7, -5, 5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 3206?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t\/t**(-32)*t*t)*t**12)\/(t**(-20))**(-49) assuming t is positive.\nAnswer: t**(-1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (36\/24)\/((-2)\/(-44)). Calculate the greatest common factor of 297 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-46)\/(-1610))\/(4\/14)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -200741 * -0.02.\nAnswer: 4014.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.022142 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 143, 3, -3, 1 in ascending order.\nAnswer: -3, -2, 1, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 3. Determine j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7136*o - 24 - o**2 + 7*o**2 + o**3 + 7138*o - 50 to the form h + k*o**3 + g*o + v*o**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 51182 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5469.\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2784770, -2784775, -2784780?\nAnswer: -2784785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 151 - 455\/3. Let o = 673\/2 - 338. What is the nearest to -2\/5 in -3\/5, o, q, 17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*d + 311 = 3*d + 215 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (41 - -9) + (-158 - -133)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16985590*c**2*v - 137024460*c**2 wrt v.\nAnswer: 16985590*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.6 - -0.7. Let q = 1.555 + -4.555. Which is the nearest to -2?  (a) 3\/5  (b) o  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/3))**(1\/3)\/(o*o**(4\/5)*o**(-16)))**(-29) assuming o is positive.\nAnswer: o**(-18821\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d + 2. Let u be w(3). Let j be 2010\/(-1225) + (-2)\/u. Let h = -2\/49 - j. Which is smaller: h or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-81)\/(-5) + (28\/10 - 3). Let n be (-21)\/(-15) - (1 - j\/10). What is the lowest common multiple of 11 and (20 - n)\/2 - (-1 - -4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51 and 2567.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 2 = -5*h, 53*h = 52*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -85, -137, -157, -151, -125, -85, -37?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1.54*0.1\nAnswer: -0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -x + 3*y + 26, -2*y = 4*x - 64. Suppose 3*p - g = 5*p - 65, -4*p = -g - 115. Suppose 3*s - p = -2*s. What is the remainder when x is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010001111010 + -100?\nAnswer: -1010001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/9  (b) -4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000967337042 rounded to five dps?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -119.\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 143083609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c = -6*c - 18. Suppose 12*p = c*p + 33. Find y such that -35*y**4 + 3*y**5 - 3*y**2 + 9*y**2 - p*y**2 + 12*y**5 + 25*y**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110 - 101110010?\nAnswer: -101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*h**4 - 35055*h**3 - 1241*h**2 - 3*h + 1?\nAnswer: -72*h - 210330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5622, 210, -5202, -10614, -16026?\nAnswer: -21438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 287725 and 14425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**3 + 44*k**2 - 59*k - 308. Calculate g(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (1 + (-14)\/(-42))*177 and 20?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 10*n + 10. Let z be x(1). Let m(g) = -4*g - 4. Let h be m(-1). Solve -d - 16 + z = h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 77, 186, 475, 1034, 1953, 3322, 5231?\n\"Answer: 15*b**3 + 4*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 a factor of 1013381138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - -15) + (-330)\/(-45) + 815\/(-15).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/5 or -0.1183?\nAnswer: -0.1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 123*z**2 + 5*z + 12. Let k(q) = -246*q**2 - 12*q - 31. Give -2*k(s) - 5*u(s).\nAnswer: -123*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 197467.1 from 0.056.\nAnswer: -197467.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 4*j + 3. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 3*s - 24, s = 5*z + 4*s - 72. Let i be (((-160)\/z)\/4)\/(6\/(-9)). Let o be (-1 - 0)*(-3 + 3). Solve i*u - 4 + 24 = o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6b (base 14) to base 12\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**5\/19 + 84*i**4\/19 - 1148*i**3\/19 + 5520*i**2\/19 - 7922*i\/19 + 3468\/19 = 0. Calculate i.\nAnswer: 1, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 31208, 62397, 93586, 124775?\n\"Answer: 31189*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1267 or 215843?\nAnswer: 215843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -66201, -65857, -65521, -65199, -64897, -64621?\n\"Answer: -r**3 + 2*r**2 + 345*r - 66547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.202  (b) 0.3  (c) -5  (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -32.34 + 37.34. Which is the second biggest value?  (a) -0.2  (b) j  (c) -2  (d) -0.07  (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -9 + 10 + (335\/(-2))\/5. Which is the nearest to x?  (a) 1\/6  (b) -2\/11  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + 6 - 6)*(0*i + i**2 + i - 5*i) - 5*i**3 + 4*i**3 + 3*i**3.\nAnswer: 3*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((-6)\/(-4) + -1). Let u(f) be the third derivative of 5*f**4\/12 - 2*f**3\/3 - 10*f**2. Does 12 divide u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103372017439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 + 9*p - 14. What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5*(-12)\/(-10) + -6. Let u(x) be the third derivative of 0*x + m + 5*x**2 - 2\/3*x**3 - 5\/24*x**4. Differentiate u(w) wrt w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (9 - (21 + 23)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of r**5\/20 - r**4\/12 - r**3\/6 + 37*r**2\/2 - 52*r - 3. Give d(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1542093 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**(-1)))**(-1\/5)\/(w**(-1\/5)*w\/w**(-3)) assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 775*h**2 + 770*h**2 + 691*h**2 - 2217*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 404826094 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7920\/7128 - (-14)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2411 + -1324?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 131394 (base 10) in base 6?\nAnswer: 2452150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of 23*b**4\/3 + 2*b**3\/3 + 2*b**2 + 4*b + 1. What is the second derivative of t(a) wrt a?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 3*m - 118, -3*m = -4*c - 0*m + 242. Suppose 323 + c = 7*a. Calculate the highest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -348702, -696857, -1045012, -1393167?\nAnswer: -1741322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 5*d = 36, 3*d + 7 = 2*q - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 2:07 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 + 23 = -12*p. Let f(j) = -44*j. Let w(v) = -9*v. Let u(y) = p*w(y) + 3*f(y). Let g(o) = -2*o. What is u(g(r))?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + b**4 - 158*b**3 + 160*b**3 + 2*b**2 + 2 to o + t*b**3 + x*b**2 + j*b**4 + a*b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**3 + 2*f**2 - 2*f**2)*(-11*f - 186 + 108 + 76).\nAnswer: -22*f**4 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -o**5\/60 - 5*o**4\/8 + 5*o**3\/6 - 19*o**2. Let g be l(-15). Solve -g*t - 22 = 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -461.1 - -425. Let b = d - -10.6. Round b to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.2, -2, -42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/2*(7 + -8)\/(109\/2943).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + 8*n - 2*n)*(1029 - 50*n - 1029) to the form i*n**2 + d*n + r and give i.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 90 - 104. List the prime factors of (i\/(-5))\/(20\/1450).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 74925060 and 8400?\nAnswer: 1498501200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*m + 20 = -44 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (6288\/9 - 9\/27)*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 819, 817, 815, 813?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 7*f**2 - 10*f + 13. Let p = 101 - 96. Let r(h) = -2*h**2 - h**3 - 3*h**2 + 7*h - 544 + 535. Calculate p*n(t) + 7*r(t).\nAnswer: -2*t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018343 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4*1\/2*3. Let i be 2\/f + 7\/3. Let b = -348 - -347. What is the closest to b in 0.1, 1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m*m*m**(-1\/9)*m*m\/(m*m\/(m\/m**(1\/27))) assuming m is positive.\nAnswer: m**(104\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g**2*o**3*v + 373*g**2*v - 2*g*o*v - o**3*v + 2*o*v + 42*o wrt g?\nAnswer: 2*o**3*v + 746*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9615160 and 92.\nAnswer: 221148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m + 3. Let n be a(7). Let g(k) be the third derivative of k**5\/60 + 5*k**4\/24 + k**3\/2 - k**2. Let r be g(n). Is r at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*g**3 - 4*g**2 + 21*g - 8*g**2 - 21*g wrt g?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1275 - -58?\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 + (-3 - (-6 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 708525440014 + -4\nAnswer: 708525440010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3489.0420231 and 3.56?\nAnswer: 3492.6020231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -379\/5  (b) -2  (c) 1\/2  (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*h + h. Suppose h*f - f = 454. Suppose 0 = -3*l - 32 + f. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -q**3*t + 11*q**3 - 2*q**2 + 59*q*t wrt q?\nAnswer: -6*t + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353918?\nAnswer: 2, 311, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 8*a - 15 = 3*a, -a + 3 = -4*y. Suppose -2*s - 3*q + 35 = 0, -2*s - 5*q - 11 + 56 = y. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 43 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*t + 13. Suppose 0*j = t*j - 150. Let n = j + -34. Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 943127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 183 - 177. What is the smallest common multiple of 34 and n?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 163703 = -304112. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6054\/(-80) - 21\/(-56). Let r = v + 305\/4. Calculate the common denominator of -29\/6 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-5))\/(26\/(-390)) + 18 + -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Is 13120388587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 0.3, 0.12, 0.8 in decreasing order.\nAnswer: 0.8, 0.3, 0.12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 275016.9 meters in millimeters?\nAnswer: 275016900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*-1*sqrt(1008))\/((-1*sqrt(180) - sqrt(45))\/((-1*sqrt(5) - sqrt(5))*-5)).\nAnswer: 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 132085229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -124442 (base 5) in base 7?\nAnswer: -20366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + q - 6*q)*(21 - 21 + 5*q**2)*(0*q + 2*q - q).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 5:14 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 - x + 4. Let o be m(-3). Let w be (-4 - o)*(-4 - -2). Solve q - 10 = 2*s, w*s = -5*q - 0*s - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*q - 266 - 145 - 517 = 0. What is the smallest common multiple of 366 and q?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + -124958033?\nAnswer: -124958033.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 8*n**2 - 5. Let r be s(8). Which is the closest to -1\/3?  (a) -0.1  (b) 0.1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5, 15, 35, 71, 129, 215?\n\"Answer: l**3 - l**2 + 6*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 227789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -547*s + 547*s - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fmomjlofovvflojl. What is prob of picking 2 o and 1 j?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 6 + 36 + -11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -330 - -575\/2. Find the common denominator of z and -29\/106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 21, 3, -0.4, 23, -13, 0.2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + v - 2 - v - 5*v + 4*v + (-2 + 2 + 2*v)*(-1 + 3 - 1) + 4*v - 2*v + 0*v + 5*v - 3*v + 0*v + v + 3*v - v)*(106*v - 1 + 4 - 4).\nAnswer: 848*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 2 - 10 = 0. Let q be (-12)\/(-2) - (1 + -1 + 1). Let s = q + k. Solve -a - s = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, a: 2, r: 4}. What is prob of sequence ccr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -16572, -5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1869468, 1869470, 1869472, 1869474, 1869476, 1869478?\n\"Answer: 2*g + 1869466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 4*o + 11*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1343939?\nAnswer: 41, 32779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbtnbbbndtddttbn. Give prob of sequence tn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v - 7. Give s(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z - 4. Let k(w) = -6*w - 13. Let x = 43 + -81. Let i = x - -36. What is i*k(p) + 7*c(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -1)*(-7 - 1). Let k = -5 - n. Find g such that 8*g + 2 + 8*g**k - 12*g**2 - 92*g**4 + 22*g**4 - 24*g**5 - 72*g**3 = 0.\nAnswer: -1, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/1109802 and -95\/12.\nAnswer: 2219604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7\/3 - -5\/3. Which is greater: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from phhphpphpppphhhhphpp.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1999130773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -8*b**2. Let o(v) be the third derivative of v**4\/24 + 5*v**2. Determine o(z(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 13 + (-459 - -424)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.046674 times -0.05?\nAnswer: 0.0023337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5110 + -180.37\nAnswer: -5290.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c87 + 5?\nAnswer: c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t + 40*t + 7*t - 10*t.\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13 or -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u - 31*u**3 + 0*u.\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/((b**(-3\/5)*b)\/b)*b*b*(b\/(b**(2\/31)\/b)*b)\/b*(b*b**7*b)\/(b\/((b**(1\/3)\/b)\/b)))**23)**(-1\/9) assuming b is positive.\nAnswer: b**(-137632\/4185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4112*g - 55525 + 69 = -773 + 56341 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 4*w - 1622, 4*w - 4*y + 244 = 1868. Let o(m) = m**2 - 46*m + 180. Let r be o(43). Calculate the highest common divisor of w and r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5403, -16605, -33585, -56343, -84879, -119193, -159285?\nAnswer: -205155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w. Let a(l) = -l**2 - 21764*l. What is m(a(g))?\nAnswer: 2*g**2 + 43528*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-66)\/132)\/(3\/40*45\/(-54))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9796080 divided by -199920.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 7 = -3*k - k, 0 = 3*k + 2*i. Let p(m) be the second derivative of m**4\/12 - m**3\/6 + m**2 + 6*m. Determine p(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 11, q: 2, r: 1}. What is prob of picking 2 x?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-250)\/60)\/(-25))\/((-2)\/42)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 1, -150, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -414278 - -1?\nAnswer: -414277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 8. Suppose -39 = r*s - 6*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 5, -2\/3, -42.\nAnswer: -42, -2\/3, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -103331 + 423202?\nAnswer: 315431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k - 3. What is the remainder when 34 is divided by i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1656837208 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 2)*(-9*u + 25*u + 16*u)*(2*u**3 - u**3 + u**3) + (3*u + 3*u - 4*u)*(0*u**3 + 3*u**3 - 2*u**3).\nAnswer: 194*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10110101111101011 (base 2) to base 10\nAnswer: -93163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 213540288248 take away 0.346?\nAnswer: 213540288247.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (60\/(-480))\/(3\/(-312)). Let u(f) = -f**3 + 11*f**2 - 17*f + 13. Let a(j) = -2*j**3 + 23*j**2 - 33*j + 27. Let h(i) = 3*a(i) - 5*u(i). Calculate h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -402 (base 6) to base 9.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - -31494.\nAnswer: 31493.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) 15  (c) -13374  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44\/(-16))\/(15598\/(-5672)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20002 - 1102201211?\nAnswer: -1102111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r - 3. Let x be n(-1). Let q(t) = -10*t**3 + 7*t**2 + 7. Let g(w) = -3*w**3 + 2*w**2 + 2. Determine x*q(l) + 7*g(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 234626 and -304?\nAnswer: -71326304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -9060 < 537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-32)*w)\/w**(-20)*((((w*w**(-4\/5)*w)\/w)\/w*w)\/w)\/w*w*w\/w**26 assuming w is positive.\nAnswer: w**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 560*d**5\/9 - 418*d**4\/3 + 596*d**3\/9 + 40*d**2 - 292*d\/9 + 10\/3 = 0.\nAnswer: -3\/5, 1\/8, 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (45 - (-20 - -23))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -51*b**3 - 4*b**2 - 4. Let x(a) = -6580*a**3 - 517*a**2 - 517. What is -517*s(q) + 4*x(q)?\nAnswer: 47*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -70  (c) -183  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.5 + -1. Let s be 2\/32*-7*2\/(-7). Which is the closest to -2?  (a) 5  (b) h  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 21 = -4*t, -5*a - 15 = -t + 6*t. Let b = 5 + a. Solve b = -5*p - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 411*o**2 + 1 - 120*o**2 - 186*o**2 + (4*o - 4*o + o**2)*(3 - 4 + 0).\nAnswer: 104*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 54534 = 2*g, 34861 + 265011 = 11*k - 2*g. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.07 - 0.13. Sort f, -0.5, 0.\nAnswer: -0.5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 1 - (1 + -7) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -180  (b) -1  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 511 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-4*((2 + sqrt(125) + (1 + sqrt(125) - sqrt(125)))*-3 + -4)*5)**2.\nAnswer: 156000*sqrt(5) + 517600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -18001 and -51089.2665.\nAnswer: -69090.2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*w + 15 = -0*j, 2*j - 2*w - 20 = 0. Let o = -21 + 25. Suppose -j*n + 3 = -o. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 46 - 43 - (1 - 2 - -1). Solve v + 1 = l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (96\/(-80))\/(68\/40 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*p + 93*k = 111*p - 69, -p - 3*k + 0*k - 27 = 0 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10243, -15831, -21421, -27013, -32607?\nAnswer: -38203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - -4) + 7 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -520*t**2 + 2 - 545*t**2 - 513*t**2 + 1606*t**2.\nAnswer: 28*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1440.58 less than 11689?\nAnswer: 13129.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80377292.\nAnswer: 2, 17, 1182019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 137010382 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 43296 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(2299) - (sqrt(57)\/(sqrt(3)*1) - sqrt(19)) - 3*(3 + -3*sqrt(19) + sqrt(19)))**2.\nAnswer: 288*sqrt(19) + 4945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -77*r**5 - 4*r**3 - 477*r wrt r?\nAnswer: -1540*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1487, 2, 1, -5, -15 in ascending order.\nAnswer: -15, -5, 1, 2, 1487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 28014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 + 23. Suppose -9 + 30 = o*w. Let p(t) = -t**3 + 7*t**2 + 4*t - 8. List the prime factors of p(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 6.69.\nAnswer: -33.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/2 - (-861)\/(-42). Let w = m + 18. Let s(r) = r**3 + 3*r**2 - r - 4. What is s(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 539*o - 546*o. Solve 1 = o*d + b, 0*d - 4*d = 4*b - 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13868*z - 15880*z = -42252 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 14 = 4*l, 4*l + 27*s = 32*s - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 6:47 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r - 4. Let w be u(-11). Calculate the highest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 31 - 32. Let i(m) = 293*m - 33631. Let o be i(116). What is the highest common divisor of o and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**4 + 0*f**4 - f**4)*((3*f + f - f)*(-3 + 2 + 2) - 2*f - 5*f + 3*f).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3716*q - 11575. What is l(3)?\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 - 869944*x - 47300160196.\nAnswer: -4*(x + 108743)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -450 divided by 90.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.2392um in meters?\nAnswer: 0.0000062392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 87052433?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/6, 1, 2, 1468?\nAnswer: 1468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*c + 0*c - 2*c)*(23 + 11 + 11)*(4*c + 2*c - 4*c) to w*c + z*c**2 + b and give z.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6826 is divided by 2271.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 34. Let o be q(10). Let m = -24 + o. Suppose m = -9*z + z + 56. Solve 0 = -3*y - 2 - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 3*i**3\/7 + 138*i**2\/7 + 1716*i\/7 + 2904\/7 = 0.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2699619, 2699630, 2699649, 2699676?\n\"Answer: 4*s**2 - s + 2699616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(11\/3))**42*s**(2\/29)\/(s**(-3)*s*s*s) assuming s is positive.\nAnswer: s**(4468\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 67*d**2 - 536*d - 10358. Give h(-72).\nAnswer: 2314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2377 + 6?\nAnswer: -2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.011 - 1.763128.\nAnswer: -1.752128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1109 + -1084. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 3\/4*q**4 - 1 - 3\/2*q**2 + 3*q - q**3. Factor b(j).\nAnswer: 3*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -398\/5 - -401\/5. What is the nearest to 0.07 in o, -3\/7, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u**3 - u**3 - 15*u**3)*(5 + 19 - 9).\nAnswer: -165*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3872)*-2)\/(sqrt(16)\/(2*sqrt(8))))\/(sqrt(256)\/(-2*sqrt(648)))*-2.\nAnswer: -792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 799\/18 + -89\/2. Put l, 0.2, -0.3, -2.6 in ascending order.\nAnswer: -2.6, -0.3, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**4 + 1 - 1)*(-48*o - 51*o + 2*o) - o**5 + o**5 + 2*o**5.\nAnswer: -95*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 103  (b) -3\/2  (c) 143  (d) -1  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/520 and 53\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f**2 + 105*f - 13828. Calculate m(61).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1767713\/82677 - (-5 - -6 - 2)*4\/14?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -2*i + 295, -9*i + 5*i = 3*m - 591. Is 37 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263089?\nAnswer: 263089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3204 - -3199. What is the closest to -1 in 2, l, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/15)\/((-7)\/((-245)\/(-14))). Let p = 10421\/150 + -139\/2. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 3*m + 11 + 14, 3*m = y + 13. Solve y*p + 2 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 9*m**2 - 9*m + 13. Let z be i(8). Sort 1, z, -4.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 1, -41 in descending order.\nAnswer: 2, 1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (-19 - 0 - -13) + 15\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -817 + 942. What is the greatest common factor of s and 2125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = -w + 6*w. What is the greatest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -10\/3, -5, -3\/8, -2\/33, -1\/68, 0.2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10997141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -90 + 82 + (-3 - (4 - 3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*(p*p*p\/(p*p*p*p*p*p*p*p**2*p)*p)\/p)*p*p\/(p*p\/(p\/p**(-1\/8))*p)*p)\/(((p*p*p**(-2\/5)*p*p)\/p)\/(p**(-2)*p)) assuming p is positive.\nAnswer: p**(181\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (19 + -21)*107546\/4*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*y - 31*y + 606 + 1254 = -5*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 384 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 6 + 10 = -4*h, -29 = -5*x - 4*h. Let r = 2 + x. Let p(l) = -l**3 + 8*l**2 - 7*l + 9. Calculate the lowest common multiple of 2 and p(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-24))\/(-2*(-1)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14\/(-49) + (-72)\/(-7). Suppose 118 = 5*t - c, -2*t + 54 = 8*c - 5*c. Let z be 5 + -1 + -4 + (t - -6). What is the greatest common factor of v and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*z - 159192 = -4025*z + 271*z for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -305, -38, 491, 1354, 2623, 4370, 6667, 9586?\n\"Answer: 12*f**3 + 59*f**2 + 6*f - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 263065529 to the nearest integer?\nAnswer: 16219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 31. Let k be (1 - 2) + j - 0. Suppose -4*f + f = k. Let v(t) = t**3 + 3*t**2 - 5*t + 2. Determine v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/((-3)\/((-150)\/4)). Suppose 3*b - i = -2*b. Let k be 0\/((-16)\/(-40) + 7\/(-5)). Put b, k, -5 in decreasing order.\nAnswer: b, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxxxxxxxxxv. Give prob of sequence xxv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -59*x**3 + 58*x**3 + 7 + 0*x**2 - 3*x**4 - 2*x**2 + 6*x**4 as b*x**2 + p*x + y*x**3 + a*x**4 + z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*d**3 - 491959953213*d**2 + 491959953213*d**2.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + ((sqrt(1377) - (sqrt(1377) + -1)) + sqrt(1377))**2 + sqrt(1377).\nAnswer: 27*sqrt(17) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 24024 (base 7) to base 16\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 28*7\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 385234117 plus -26.9?\nAnswer: 385234090.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.14, 2, -1\/2, -213 in increasing order.\nAnswer: -213, -1\/2, -0.14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 53777 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jncn when four letters picked without replacement from njccqnqjc?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide ((-4708536)\/(-126))\/(3*(-16)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/1927 and 51\/611?\nAnswer: 25051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 4  (c) -10  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/6 and -236028140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 4*i + 1 = 0, 3*m - 2*i = -0 + 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xknxnnxx. Give prob of picking 3 x and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -85*h**5*k - h**3*k**2 - 4*h*k**2 - h*k + 11*k**2 wrt h.\nAnswer: -1700*h**3*k - 6*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 570 - 461. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14303017 to the power of 1\/2, to the nearest integer?\nAnswer: 3782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3345, -3503, -3659, -3813, -3965, -4115?\nAnswer: -4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3764528 and 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5618 = 174*d - 172*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8\/(-6)*((-580216)\/70 - 1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 277024 and -151.5?\nAnswer: -41969136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -106712*w**5 + 36*w**3 + 1665246*w - 3 wrt w.\nAnswer: -2134240*w**3 + 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-2)*2*-851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -876663*j**3 + 796791*j wrt j.\nAnswer: -5259978*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from ddddddoododdddd.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*w + 4*l, 4*l - 6 = 2*w - 24. Suppose -2*f = -15 + w. Solve -p**3 + p**3 + 6*p**5 + 15*p**4 + f*p**3 + 3*p**5 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-18447\nAnswer: 9223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x - 4*x + 5*a = -24, -5*x + 30 = a for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p + 1. Let d(i) = -2163*i - 9 + 1102*i + 1059*i. Give 2*d(a) + 6*j(a).\nAnswer: 2*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-380)\/48 + 3 + (3 - 6) and (-40)\/(-48)*1*(-102)\/(-28).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-6)\/q*q**(2\/3))\/(q**(-4)*q*q**(-2)))**30 assuming q is positive.\nAnswer: q**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 2*p - 1325, -5*p - 43 = -2*z + 872. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*k + 351 = -867 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 17 - 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -178*n + 2496 - 113 + 287 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 12 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/15)*a)\/((a*(a\/a**(-2\/11))\/a)\/a)*a**(-1\/9)\/(a\/((a*a**(-1\/10))\/a)))**39 assuming a is positive.\nAnswer: a**(-3341\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/12 and -1\/260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 + -6. Let v be z\/(-3) - (-1)\/(-3). Which is the third smallest value?  (a) -1  (b) 0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 1:29 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 3*h + 4 = 4*h, 2*h - 8 = -3*i. Suppose -p - 2 + 5 = i. Let k = p - 3. Solve k = -3*y - 0*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -66, -4.\nAnswer: -66, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4052541401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 15. Let b(k) = k + 1. Let x(n) = -4*n - 7. Determine r*b(j) + x(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**5 - 141*z**4 + 1242*z**3 + 4602*z**2 + 4899*z + 1683.\nAnswer: 3*(z - 33)*(z - 17)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -18*g + 10. Let w = -23 + 18. What are the prime factors of c(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 6}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2366440 and 176600?\nAnswer: 11832200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**3 + 4*u - 11*u**2 + 21 - 26 - 12*u**2.\nAnswer: 2*u**3 - 23*u**2 + 4*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 3) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 78582480 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-4\/3)\/(((a**(1\/2)\/a)\/a*a*a)\/a)*(a**(-2\/7))**20 assuming a is positive.\nAnswer: a**(-275\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/7, -0.1, -5, 32, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -4, 0.3, 1\/3, 4, -26\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 430*j - 107. Is d(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**2\/2 + 439*p\/2 + 220 = 0. Calculate p.\nAnswer: -1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -15400 and 0.2.\nAnswer: -3080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1116 - -1158. What is the fourth smallest value in 0.3, i, -0.1, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38741679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1509 + -1504. Which is the nearest to i?  (a) -2  (b) -4  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-387)\/(-774))\/(1\/(-24)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((2808\/1288)\/(-39))\/(4\/((-56)\/3))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175539?\nAnswer: 3, 7, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide (-99)\/(-18) - 6 - 61102\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -244, -2083, -7102, -16891, -33040, -57139, -90778?\nAnswer: -135547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*g + 72*g + 65*g - 228*g + 2*g**2 + 17*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/6 + (-2 + 952\/176)*(-22)\/99.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 5*m - 231 + 855, 0 = -4*m + k - 501. Let s be ((-2)\/(-7))\/((-9)\/m). Let y be (-2)\/(-9) + 14\/(-144). What is the third biggest value in s, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -21*m - 6. Suppose 0 = o - g - 58, 0 = o - 32*g + 22*g - 4. Calculate the remainder when z(-7) is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -15*z**3 + 29*z**3 - z - 8*z**3. What is d(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 24 = -34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(475) - (-3 + (sqrt(475) - (sqrt(475) + 1 + sqrt(475))) + sqrt(475) + sqrt(475)) - ((4*sqrt(475) - sqrt(475)) + -3))**2.\nAnswer: -1050*sqrt(19) + 21620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 3*u + 14, 3*p + 0*u - 2*u = 16. Calculate the remainder when 71 is divided by ((-72)\/p)\/((-3)\/4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 4*d**2 + 12*d - 13. Let j = -83 - -90. What is the hundreds digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-270)\/(-81)*(-27)\/(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -324\/19 less than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c. Let k = -3 - -8. Suppose -3*b + 5*w = -20, -b + 15 = b - k*w. Suppose -4*p - b = -1. Let u(m) = -2*m**2 - m + 1. Determine p*u(h) - 3*g(h).\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**3 + 18*i**3 + 6*i**3)*(5*i + 15*i + 21*i - 1).\nAnswer: 984*i**4 - 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**32)\/(m*m**10) assuming m is positive.\nAnswer: m**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 34  (b) -4  (c) 0.2  (d) 1.154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2752\/21 - -131. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7206*i**3 + i**2 + 819*i wrt i?\nAnswer: 43236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -6. Let z = -0.66 + 0.56. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 3, 8 in descending order.\nAnswer: 8, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-117*(-29)\/(-261))\/(1\/(1 + -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-18))\/(6\/(-9)). Let n = 4.963 + 0.037. Which is the nearest to r?  (a) n  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vybhhhhth. Give prob of picking 1 y and 1 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/3*-1*(-81)\/(-18). Let y(n) = 8*n. What is the remainder when (208\/(-20))\/((-154)\/p + 5) is divided by y(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -220001212 (base 3) to base 7\nAnswer: -102104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 721*u - 70. Let r be z(10). Suppose 0 = -11*v - 19*v + r. List the prime factors of v.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cfzscnfzx. Give prob of sequence cf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 136 - 61 - 145*g**2 - 81 to the form u*g**2 + d*g + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - w**3 + 0)*((-1 + 2 - 3)*(-4*w + 5*w - 2*w) - 1 - w + 1)*(98 + 245 - 694).\nAnswer: 351*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -p**5\/330 + 2*p**4\/33 + 60*p**3\/11 - 96*p**2 - 9. Factor h(d).\nAnswer: -2*(d - 18)*(d + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 36*s**3 + s**2 - s - 2. Let m be r(-1). Let k = 33 + m. Let p = -1 + -1. Sort 3, p, k.\nAnswer: k, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*c + 2*c. Suppose -c*j + 184 = -0*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.75 to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from {o: 1, z: 1, l: 10, g: 3}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*b, 0 = -0*f - 2*f - 5*b - 21. Let x = -19 + 11. Let o = -5 - x. What is the nearest to 1\/4 in f, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -0.05  (c) -3  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -w**3\/6 - 4*w + 9. Let r(n) = -4*n - 15. What is r(d(v))?\nAnswer: 4*v - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + g**2 + 2)*(-2*g**2 + 1 - 1) + (5*g - 2*g + g)*(0*g**3 - 4*g**3 + 2*g**3) + 0*g**4 + g**4 + g**4.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 193243*l - 579708. Determine j(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.8 in -1\/3, 5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5977 and 973?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -3.1. Let a = 34447\/5 - 6889. Put o, a, -0.2 in ascending order.\nAnswer: -0.2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 3*n - 2. Suppose -3*w = -7*w - 36. Let a(h) = 76*h - 40. Let u(g) = -15*g + 8. Let f(y) = -2*a(y) - 11*u(y). Calculate w*c(j) + 2*f(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 != -410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38*w**2 - 56*w - 6786 wrt w.\nAnswer: -76*w - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/7*24012 - ((-960)\/280)\/(-12). Calculate the highest common divisor of 560 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvh. What is prob of picking 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of 0 + 0*p + 0*p**3 + 2*p**2 + 0*p**4 + 3\/20*p**5 + 3\/70*p**7 + 0*p**6. What is the third derivative of r(k) wrt k?\nAnswer: 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 341711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 179\/34861890 and -113\/39842160.\nAnswer: 278895120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -12*d - 2*d**2 + 4*d + 8*d. Let g(n) = -8*n**2 + 4*n**2 + 7*n**2 + 7*n**2. Give g(u(c)).\nAnswer: 40*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26252926.2us to days.\nAnswer: 0.0003038533125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -475.22, 375?\nAnswer: -475.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7222 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 3918.05?\nAnswer: -7836.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -67730000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5127652?\nAnswer: 2, 397, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.7, -0.3, -0.09, 25.3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4\/5  (b) 0.3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 25*x - 10. Is s(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 187589\/160393 - 125\/107. Let t = f + -3012\/10493. Which is the smallest value?  (a) -1\/2  (b) t  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 930882732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16\/3 + -49\/9. Which is the second smallest value?  (a) y  (b) 2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 5. Let b = y - 2.998. Round b to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 47*k + 10170. Give v(80).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102462 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/83)\/d*d*d\/(d\/d**28))\/((d*(d\/(d**(-38)*d))\/d*d)\/d**(3\/14)) assuming d is positive.\nAnswer: d**(-12505\/1162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*f - 2 + 2)*(3*f**2 - 5*f**2 + 5*f**2).\nAnswer: -6*f**3 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 63  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1388 + 1488. What is the highest common divisor of 175 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 v, and 1 t when three letters picked without replacement from {v: 2, y: 3, t: 1, g: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-324)\/(-10))\/3)\/((-8)\/(-20)). Calculate the highest common factor of s and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as 4\/229773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 15949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*s + 26 = o + 25*s, 2*s + 26 = 3*o. Solve 3*p = 4*n - 2*p - 17, -n + 3*p = -o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 35714*d**2 - 17856*d**2 - 17856*d**2. Let y(a) = 25*a - 8. Give y(r(v)).\nAnswer: 50*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 6 = -j, -4*j + 8*j + 2*p + 18 = 0. Let m = j - -94. Calculate the remainder when m is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -713 * -0.1\nAnswer: 71.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(-5\/6)*d**(2\/13) assuming d is positive.\nAnswer: d**(25\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.85 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 387939.9 tonnes?\nAnswer: 387939900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 10 = 2*u - 13, -a + u = 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 110089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/9 - 2\/3*s - 2\/9*s**2.\nAnswer: -2*(s + 1)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44 - (54 + -29 + -97) - -75.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 + 10*p**2 - 50*p - 262. Calculate n(-17).\nAnswer: -1435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -10*(-9)\/(-24)*(-36)\/27. Suppose -4*n - 5*h = 22 - 7, 3*n + p*h = -15. Solve n = 2*o + 2*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8075*m + 787*m + 415416 = 0 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**5 - 383*u**4 - 11532*u**3 - 110646*u**2 - 371790*u - 159651.\nAnswer: (u - 219)*(u + 9)**3*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + -7)\/(-7) + 4*(-5)\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + sqrt(21)\/sqrt(3) - (2*(-1 + sqrt(7)))**2 - 1*(sqrt(77)\/(sqrt(55)\/sqrt(5)) + sqrt(7))**2).\nAnswer: -310 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*(3 + (-228)\/80). What is the nearest to 0.1 in 0, u, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 6, p: 4, b: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24861 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -45, -67, -103, -153, -217, -295, -387?\n\"Answer: -7*b**2 - b - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.82, -4, -0.1, 1, -3, -8 in decreasing order.\nAnswer: 1, -0.1, -2.82, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 7495.51233 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) -10  (c) -5  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j - 13. Let y be t(-13). Suppose p + 3*v - 3 = 2*v, 4*p - v - 7 = y. Suppose -p*k + 148 = -98. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -5*k + 392, 2*k - 310 = -2*k - 2*o. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -179 + 187. Suppose -4*j = 3*t - 1911, -5*j + 2360 = c*t - 10*t. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w + 6. Let d(m) = 2*m + 5. Calculate -7*d(k) + 6*u(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 1 - 1 - 1. Let l(n) be the first derivative of -n**4\/2 - 8*n - 2. Suppose -3*c - 12 = 12. What is c*u(y) + l(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of -5*b**4\/24 - 5*b**3\/2 + 12*b**2. Let m be k(-3). Put m, -21, -5 in descending order.\nAnswer: m, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**6\/(w\/(w*w**(-2)*w)))**(-2\/9) assuming w is positive.\nAnswer: w**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -333.76535 + 0.68?\nAnswer: -333.08535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -2\/399, 4\/3, -1, -33 in descending order.\nAnswer: 4\/3, -2\/399, -1, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 4 = 4*k. Let l be (-4)\/(-6) + k\/6. Let x = l + 6. Let g(b) = -2*b + 6. Determine g(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 3*o, 3*b - 4*o - 11 = -3*o. Suppose -3*g - 3*d = -9, 5*g = 2*d - b*d + 35. Let x = 327 + -309. Calculate the remainder when x is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 342 and 532.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 20ab3a98?\nAnswer: 20ab3aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8358327 to the nearest integer?\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 50033896 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: Round -0.00001721633 to 7 decimal places.\nAnswer: -0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1019051 is divided by 187?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v - 2. Let p be n(2). Suppose -8 + 32 = -p*j. Let w be 9*((-2)\/1)\/j. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 93*g + 677. Calculate d(-9).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, f: 3}. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**5\/3 - 40*l**4\/3 - 610*l**3\/3 - 720*l**2 - 744*l = 0. What is l?\nAnswer: -6, -3, -2, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 247682110 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 35, 6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10229145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1330 + -6653\/5. Let d = 0.25 + -0.05. What is the biggest value in d, -4, i, 0.047?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 450576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6548\/60 - -10) + (-6)\/45. Find the third derivative of 63*c**2 - 405*c**3 + 405*c**3 + 119*c**4 - 2 - 93*c**6 - p*c**4 wrt c.\nAnswer: -11160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 4:48 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence knp when three letters picked without replacement from {p: 11, k: 1, n: 2}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 23450280 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 divided by 3?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2405 - 2360. Calculate the smallest common multiple of 57 and b.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27467591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 543 and -25.158749.\nAnswer: 517.841251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 11 + 4. Let m(o) be the third derivative of o**4\/6 - o**3\/6 - 375*o**2. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29636576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 34, -4 in ascending order.\nAnswer: -4, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + -3 + 5*(sqrt(75) + (sqrt(75) + sqrt(75) + 4*(-2 + sqrt(75) + sqrt(75)) - sqrt(75))**2)).\nAnswer: -21450*sqrt(3) + 184176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 14*f = -14*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q. Let x(d) = -175 + 175 - 15*d**2. Calculate z(x(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/186 and -35\/192.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 29315 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 67 - (-14 - (-18 + 14 + -27)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23 - -43\/2. Let l = -0.6 - -0.1. Put -0.3, l, h in increasing order.\nAnswer: h, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*v + 23*v - 23*v)*(1 + 0 - 4) to d*v + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88 (base 11) to base 9.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 5*a**3 - 44*a**2 + 31*a + 317. Determine q(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 + -3 + (-2520)\/(-2000) and 37\/55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + sqrt(1053)*-3 + 0 + -4 + -5 + 1 + -3*sqrt(1053))**2.\nAnswer: 720*sqrt(13) + 26389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.3, 5\/6, -4\/5, -2, -0.021?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-18)*2\/(56\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 17, 128, 315, 578?\n\"Answer: 38*q**2 - 3*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8804908 months in millennia?\nAnswer: 0.0002400409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 502.6 + -503. What is the nearest to 1\/5 in 0.2, o, -0.08, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -327*k = 172*k - 112*k - 14706 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 186 - 131. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -b0300?\nAnswer: -b0304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186*s**3 - 4*s - 372*s**3 + 191*s**3 + 4*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -153062200 rounded to the nearest 100000?\nAnswer: -153100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 + 1*(-6)\/3. Let d(n) = t*n - 3*n - n - 4. Let r(p) = p**3 + p**2 - p - 4. Let x be r(0). Give d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -3. Let i be 14 - k\/12*3. Let r = i + -14. Sort 0.1, -5, r, -2.\nAnswer: -5, -2, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 802.5 + -802. Which is the nearest to 0?  (a) y  (b) -3  (c) -35  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1322592 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*s**3*t**2 + 2*s**3 - 2*s**2*t - 426*s**2 - 38*s*t**3 wrt t.\nAnswer: -42*s**3 - 228*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 6847 - 2830*f + 238*f**2 - 2062*f + 115 - 2*f**3 - 305*f - 2001*f = 0.\nAnswer: 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2891846, -5783691, -8675528, -11567351, -14459154, -17350931, -20242676, -23134383?\nAnswer: -26026046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13 - 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 13*b + 104. Calculate the remainder when 184 is divided by g(8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 513 = 4*v + 53. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -839 = 5*n - 1089. Suppose 123 + 2 = i. What is the greatest common divisor of n and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -468*n + 6686. Is s(-94) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22563 is divided by 376.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36*c**3 + 228*c - 228*c)*(-13*c**2 + 3*c**2 + 3*c**2 - c**2 - c**2 + 5*c**2 + 2*c - 2*c - 2*c**2 - c + 2*c**2 + c + (0*c - 3*c + c)*(-2 + 2 - c)).\nAnswer: 72*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 2\/7, -2, 7.3 in descending order.\nAnswer: 7.3, 2\/7, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*d**2 + 13*d*z**2 - 14*d + z**2 + 385*z - 15 wrt d.\nAnswer: -8*d + 13*z**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-25) - (-2)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0, 4, -11, -0.5, -0.3, 569, -334?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.1 - -5. Let y = i + -0.89. Let h = 0.22 - 0.32. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -57, -94, -149, -222, -313, -422?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-1*sqrt(228))\/sqrt(12).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/499, -3, 20\/3 in decreasing order.\nAnswer: 20\/3, -3\/499, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7018957 a multiple of 2600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 268 = 423. Let c(q) = -7*q - 5. Let u be c(-5). Let j = m - u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-198)\/1056*10\/(-5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 34*w - 215. Let c be t(7). What is the greatest common divisor of 2952 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 1458\/5 + 2\/5*f**2 + 108\/5*f = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(5)*-1 + sqrt(5) + -2 + sqrt(10)\/sqrt(2).\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of f**6\/180 + f**4\/8 - 4*f**3\/3 + 3. Let t(a) be the third derivative of g(a). Find the first derivative of t(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -117.47, -0.5, 0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10443 = 132*l + 24*l - 5469. Calculate the smallest common multiple of l and 27.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 246020 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -352.\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of -h**9\/161280 - h**8\/26880 + h**7\/13440 + h**6\/960 + h**5\/6 + 8*h**2. Let q(k) be the third derivative of w(k). Factor q(d).\nAnswer: -3*(d - 1)*(d + 1)*(d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.091 or 562020?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 124 (base 5) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2 + -2.8. Let c = o + 16. Let j = c + -12.000008. What is j rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-11))\/s)\/((s\/s**11)\/s) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - y**2)*(25*y + 53*y + 5*y + (-2 + 2 + 1)*(-y + 3*y - 3*y) - 1 + 1 - y) to the form v*y**2 + f*y + s*y**3 + b and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -4\/7  (b) 3  (c) 8  (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10858253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u**3 - 5866159*u**2 + 7542214*u - 1676048 = 0. What is u?\nAnswer: -838024, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1193 + 1042.6. Let u = -0.199 + -170.801. Let w = l - u. Round w to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2441*h**3 - 3585*h**3 + 884*h**3 + 832*h**3 + 3 - 1074*h**3.\nAnswer: -5384*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 642 + -590. What is the remainder when 169 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -7. Let v(u) be the third derivative of 0*u + 0 + 0*u**z - 1\/15*u**5 - 1\/60*u**6 - 1\/12*u**4 - u**2. Determine f, given that v(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 110 and 307406810.\nAnswer: 3381474910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 1688 = 4*m, -m - m + 2*w = -828. Let c = -809\/2 + m. Let t = -3583 + 25131\/7. Find the common denominator of c and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of g**8\/672 - g**7\/210 - g**6\/120 + g**5\/30 + g**4\/48 - g**3\/6 - 7*g**2. Determine j so that l(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65415248.\nAnswer: 2, 97, 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 46 = -9*t. Let c = 38 + t. Put 1\/5, c, 0.1, 1 in descending order.\nAnswer: 1, 1\/5, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8624 and 23929444?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 516\/5*p**3 + 992\/5*p**2 + 88\/5*p**4 + 0 + 4\/5*p**5 + 112*p = 0.\nAnswer: -14, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of -71*g**4\/12 - g. Let j(m) = -13 + 13 - 720244*m + 720246*m. Determine o(j(t)).\nAnswer: -284*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of -x**8\/210 - x**6\/120 - 2*x**3 + 5*x. Let z(v) be the second derivative of u(v). Find the third derivative of z(m) wrt m.\nAnswer: -192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2 + 4 - 1 + 0*d**2 - 16*d**2 + 2*d. Let g be m(-3). Let z = -70 - g. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 267 - 263. Suppose 4*y - 6290 = -3*v + v, 7843 = 5*y - o*v. What is y rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 520667923.\nAnswer: 520667923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 6781831084*j**2 + 6781831084*j**2 - 1 - 46*j**3.\nAnswer: -46*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -30  (b) 4  (c) 364  (d) 1\/3  (e) -12.92  (f) -4  (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1167 divided by 1025.\nAnswer: 1167\/1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 111301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119836 is divided by 56923.\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - -4)*12\/18. Factor -w**4 - 3 + 1 + w**n + 2 - w**3 + w.\nAnswer: -w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/17 + (3 - (-72)\/(-34)). Suppose 2*m = m. Which is greater: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of 41*x**4\/6 + 91*x**3\/6 + 32*x**2. Is l(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v\/v**11)\/v))**(5\/14)\/(v**(-1\/4))**43 assuming v is positive.\nAnswer: v**(421\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from fbbffffbbbffbfffff?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -431 + 1?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13dc053 - -49?\nAnswer: -13dc00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75614 and 29276366?\nAnswer: 322040026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/40*(-1 - -3). Let n = -0.8 - -0.4. Which is the third smallest value?  (a) 5  (b) s  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 276\/966 + (-48)\/28*27?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 261675.197 to the nearest 100.\nAnswer: 261700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by 6.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 + 4*y + 9. Let c be o(5). Suppose -c = -u, 2*u = 4*t + 3*u - 8. What are the prime factors of -1*t*(5 - 95)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -4874*y. Let g(z) = -53*z**2. Determine g(l(q)).\nAnswer: -1259061428*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + -1)\/(-2 + 0). Let q = h - -3. Suppose i - 4 = q. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3797127.\nAnswer: 3, 179, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1))**(5\/9)*(k\/k**(1\/4))**(-1\/19) assuming k is positive.\nAnswer: k**(-407\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 814*m**4 - 2*m**3 - m**2 - 94*m + 841383 wrt m?\nAnswer: 3256*m**3 - 6*m**2 - 2*m - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 1326 + 1335. What is the third derivative of 20*u**l - 78*u - 24*u**3 + 8*u**4 + 6*u**4 - 130*u**2 + 77*u wrt u?\nAnswer: 336*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -17*w + 14. Let y be m(-4). Let v = -82 + y. Suppose 10 + 2 = 3*p. Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4620, -38, 228 in ascending order.\nAnswer: -4620, -38, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/16*30\/(-21).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22346636 (base 7) to base 6.\nAnswer: 105403352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 18455, 36909, 55363?\n\"Answer: 18454*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 16) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, t: 4, h: 9}. What is prob of picking 2 t and 1 w?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -10, 0*u + 5*j = 4*u - 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*r - 5*r + 3*r)*(6*r - 3*r - 4*r + (4 + 7 - 3)*(-r - r + r))*(0 + 5 - 4) - r**2 - 3*r + 2*r**2 + r**2 to the form i*r + w + f*r**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -k - 1. Suppose k*u = 0, -3*d + d = 2*u. Suppose d = 2*y - y - 59. What are the prime factors of y?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -73.59 and -5806466041.\nAnswer: -5806466114.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 839438436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 547, 1129, 1775, 2515, 3379, 4397, 5599?\nAnswer: 7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 511310671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*(17\/2 + -11). Let m = 6 - 1. Let k be (-15)\/(-5)*-1 + 6. Solve -i*d - 2*r = -27, 0 = -2*r + m*r - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5*(0 + sqrt(363) + sqrt(363)*-1 - (3 + sqrt(363) + -1 + sqrt(363) + sqrt(363)))**2 + 5.\nAnswer: 660*sqrt(3) + 16364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*5*((3*(1*sqrt(119) + sqrt(119)))\/sqrt(7)*-1 - (4 + sqrt(17) + (sqrt(17)*2)**2 - ((sqrt(85)\/sqrt(5))**2 + 3))).\nAnswer: -260 - 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2525*q + 13*q**2 - 1262*q - 1262*q - 25 + 2*q**3. Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 5 = -5*d - 13, 4*d = 2*f - 4. Let w = -4 - f. Let g(c) be the second derivative of -c**3\/2 + c. Determine g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78 and 18450.\nAnswer: 239850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -1432*g**2. Let x(c) = -15989*c**2 + 31983*c**2 - 15995*c**2. Give a(x(f)).\nAnswer: -1432*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 8*i**2 + 7*i + 2. Let u be t(-7). Suppose -u*y = 3*y. Suppose y = 2*g - h - 33 - 27, 0 = -2*g - 5*h + 48. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -632\/5 - 624\/5*q - 30*q**2 + 2\/5*q**3.\nAnswer: 2*(q - 79)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3)\/(56\/(-294)) - 6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of -3\/20*o**5 + 20*o + 0*o**3 + 0*o**2 - 9\/70*o**7 + 1\/10*o**4 + 0 - 8\/25*o**6. Let a(x) = 0. Calculate x.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*u + 4*u**2 + 32*u**2 + 43*u**2 + 19874 - 13*u**2 - 19876 to the form n*u**2 + c + l*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2583921 and 19785.\nAnswer: 3957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4769*w**3 - 6737*w**2.\nAnswer: -28614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 153 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2066 + 1018 - 58*j - 402*j + 1048 to the form x*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -45 or -49?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/6)\/(314\/1413).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22934622 plus -0.473518?\nAnswer: 22934621.526482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 3*s - 6, -7*n + 3*s = -3*n + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 5*u + 37, -3*u + 5 = 3*n - 16. Let f = n + -8. Is (f\/2)\/(9\/1566) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 2*u. Suppose -3 = -m - u. Suppose -v = -4*a - 116, m*v - 559 = -v - 3*a. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.3, -1\/3, 675\/451, 1\/6 in descending order.\nAnswer: 3, 675\/451, 1\/6, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 6*i + 5. Let j be y(-5). Let q(c) = -2*c**2 - 30*c + 108. Let d be q(-18). Suppose x - 40 + j = d. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 - ((-30)\/(-6))\/((-20)\/(-16)). Solve -c = -3*d + 2, -d + 5 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 472266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i - 380 = -6*i. Let w be i\/(-2 + (-44)\/(-24)). Suppose 0 = -v - 4, 5*d + 0*v = 5*v + w. List the prime factors of d.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 317, 318, 319, 320, 321?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 - 376215550?\nAnswer: -376215561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(1\/5)*g**12)\/(g**3\/g*g*g*g\/g**0))**19)**(-14) assuming g is positive.\nAnswer: g**(-10374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 964.635 days to microseconds.\nAnswer: 83344464000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 5*y - 43. Give b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -91, -70, -39, 2?\n\"Answer: 5*y**2 + 6*y - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 + 1 + -2 + 1 + (34424 - 34435).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -116. Suppose -6*p + p + c = 0. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (14 - (10 + -6) - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 124579 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzqq when four letters picked without replacement from {z: 4, q: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3880672, 7761340, 11642008?\nAnswer: 15522676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/98 and 5\/1197.\nAnswer: 16758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 27\/20 in -5, -12, 0.3, -115, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -385*s**4\/12 + 361*s**3\/3 - 196*s**2 + 3*s. Find the first derivative of o(a) wrt a.\nAnswer: -770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8837532?\nAnswer: 2, 3, 11, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, y: 2}. Give prob of sequence yhh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5.1 + 5. Let s = b + -0.4. Put 0.2, s, 5 in increasing order.\nAnswer: s, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + -2 + 1 + 3.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 0.132, -0.3, 3?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -1 + 1\/2*d + 1\/2*d**2 = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1906?  (a) 4\/7  (b) 4.08  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 344909531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -13*m + 16*m + 39*m**2 - 40*m**2 + 6 + m**3. What is the lowest common multiple of f(0) and 224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.82 minus 20?\nAnswer: 31.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 768979, 1537979, 2306977, 3075973, 3844967, 4613959, 5382949?\nAnswer: 6151937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, s: 8}. What is prob of sequence ee?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/255 and -46\/27?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*s**5 + 4*s**3 - 377*s**2 wrt s.\nAnswer: -1500*s**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -30*s**2 - 527*s + 1441. Calculate o(-20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6767 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6cc (base 14) to base 8\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 38.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-9)*9\/2. Suppose -2*f + 18 - 6 = -y*z, 0 = -4*f. Let o(i) be the first derivative of -i**4\/4 - i**3 + 3*i**2\/2 + 5*i - 1. Calculate o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1374 and 16?\nAnswer: 10992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/126756 and 17\/340815195.\nAnswer: 1363260780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*j**3 + 4*j + 86*j**3 - 4*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/11)\/(916\/(-15114))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80, -143, -206, -269, -332?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68, 138, 208, 278?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1389 + -1380.888. Let q = i + -0.112. What is the second smallest value in q, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n - 18 + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3*y**2 - 22*y - 21. Let r(v) = -v**2 - v. Let g(h) = -c(h) - 6*r(h). Suppose -22 = -3*u + 2*u. Calculate the remainder when g(-10) is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (110\/(-25))\/(20\/(-50))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1872)*-4 + sqrt(1872) + -3 + sqrt(1872) - (1*sqrt(13)*-3 + (sqrt(325) + sqrt(325) + -1 - sqrt(325) - sqrt(325) - sqrt(13)))**2.\nAnswer: -212 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 340*w**3 + 374*w**3 - 3.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 9*a**2 + 8*a + 4. Let b be s(-8). Suppose 0 = b*n - 2*n - 6. Let q = -39 + 39. Sort n, 5, q in descending order.\nAnswer: 5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*x + 10*x + 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -658742*p**2 + 102720*p.\nAnswer: -1317484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 17, 74, 161, 272, 401, 542, 689?\n\"Answer: -h**3 + 21*h**2 + h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8750927.5 - -47741629.5. Let p = -38990707.0000023 + u. Let r = p + 5. Round r to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 12*o - 17. Let f be d(6). Suppose 49*c - f*c + 894 = 0. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3191511899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 3*i + 2. Let v(a) = 2*a - 1. Let q be v(2). Let y be o(q). Suppose -31 = -y*k - 5*l, -2*k - 3*k + 4*l - 5 = 0. Solve k*h = 2*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2763, -5531, -8297, -11061?\n\"Answer: l**2 - 2771*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1590  (b) -2\/5  (c) 0.1  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 504*c = 731*c - 6356 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 15*j**2 + 45*j**2 + 6*j**2 - 8*j**2 + 16*j**2.\nAnswer: 74*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-6*((sqrt(720)*2)\/sqrt(12) + sqrt(60)))\/(sqrt(84)\/(sqrt(7) + sqrt(28))*-5))*-4 + 4.\nAnswer: -216*sqrt(5)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 31 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/47029 or 98\/11?\nAnswer: -4\/47029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 + (-124)\/16)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -18. What is the remainder when -10*(-2 - 1\/2) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.35, 5, 0.6, -0.23, 1\/3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1101\/40435 or -1?\nAnswer: -1101\/40435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/249 and -13\/170049.\nAnswer: 14114067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 19488 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27128 and 9389679.\nAnswer: 75117432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -29 + 0 - 4*f - f in the form v + j*f and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 600 = -0*m. Suppose -5*k + m = -65. Suppose -4*c + 107 = k. What is the highest common factor of c and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 4*z + z)*(-4*z - z + 7*z) + (6038*z + 6044*z + 779 - 12081*z)*(2*z + z - 5*z).\nAnswer: -6*z**2 - 1558*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (15\/2)\/(-34 - (-4170)\/120)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 5*k**2 - 4*k + 4. Let d(x) = x**2 - x + 1. Let j(g) = 2*d(g) - r(g). Let m be j(1). Is 16 a factor of 1\/(-1) - 99\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7641 - -7644. Put -122, -4, l in ascending order.\nAnswer: -122, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1399612 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -19988 divided by -730\nAnswer: 9994\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*t**2 + 155*t**3 - t - 134*t**3 - 4*t + 7*t**2 to d*t**2 + v*t**3 + z + j*t and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 3*b + 18. Let f be v(6). Suppose -1 - 9 = -5*y - 2*i, -5*i = -y - 25. Let s = 1 - y. Do f and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*d + 10*d + 27*d**3 + 6*d - 2*d**2 to w*d**3 + c + h*d + r*d**2 and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u + 3. Let a be p(6). Suppose 0 = -x - 3 + a. What are the prime factors of (-296)\/(-7) - x\/21?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ngnf when four letters picked without replacement from {f: 1, n: 4, w: 2, r: 5, g: 1, s: 7}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.474203 to 2 dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -58*y**2 - 32*y - 10. Let w(n) = 2*n**2 + 3*n + 3. Let q be w(-2). Let d(l) = 59*l**2 + 32*l + 9. Let a(s) = q*m(s) + 6*d(s). Factor a(z).\nAnswer: 4*(4*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28559674*a**3 + 37411343*a wrt a?\nAnswer: 171358044*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -63, -8, 64, 646, 1 in ascending order.\nAnswer: -63, -8, 1, 4, 64, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/4)\/(1\/2). Let a = -5 + s. Let j(i) = i**2 + 4*i + 5. Let f(d) = d + 1. What is a*f(u) + j(u)?\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0456, 1.1, -0.05.\nAnswer: -0.05, 0.0456, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2594302.5 - 1266?\nAnswer: -2595568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 115808121, 115808123, 115808125?\n\"Answer: 2*p + 115808119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179 - 172 + 6 + 16*k**2 - 123 + 20*k**2.\nAnswer: 36*k**2 - 468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l = 15 - 35. Sort -8, l, -7 in ascending order.\nAnswer: -8, -7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3183 in 2.2, -1\/4, 5\/2, 1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/15)\/((-2)\/(-10)). Let v be 3 + b\/(-4)*-2. Let u(g) = 3 - 5 + g - g**3 + 2*g**v + 0. Determine u(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {x: 17, a: 3}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-193100261 - 28410*m + 193100261)*(-3*m**3 + 4*m**3 - 2*m**3) as u + x*m**3 + r*m + j*m**4 + w*m**2 and give j.\nAnswer: 28410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((15\/(-5))\/(-3))\/1. Let a(i) = 21*i**2 + i. Let r be a(n). Find the first derivative of r + 4*j + 1 - 6*j + 15*j wrt j.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 111\/214 + -2\/107. What is the closest to d in -1\/6, -0.2, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = i + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2889*c**4 + c**2 - 20831?\nAnswer: -11556*c**3 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(1\/3))**50 assuming y is positive.\nAnswer: y**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (2 - -1) - 1 - 896\/(-416)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 1 + 5 - 13712*t - 1 + 4144*t to a + q*t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(165)*1)\/sqrt(3) + sqrt(110)\/sqrt(2)*1))\/(4*1*sqrt(1584) + sqrt(1584) + sqrt(1584) + sqrt(1584) - -6*-2*sqrt(1584)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3621 divided by -1207\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 487440113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12587*n**2*x**2 - n**2 + 519*n*x**2 + 48*n*x + 18468*n - 2*x wrt x.\nAnswer: -25174*n**2 + 1038*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 243 - -10?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1))**(2\/55)\/(l\/l**(-2)*l)**(-38) assuming l is positive.\nAnswer: l**(8358\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1687*p + 1792*p + 105 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 10:49 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-6 + 5) - 12 - (45 - 38)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 - -7)*(-4)\/(-3). Let t(p) be the third derivative of -p**5\/60 + 5*p**4\/24 + p**3\/2 + 3*p**2. What is the units digit of t(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 876075534887 and 145?\nAnswer: 876075534742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 307 + 149. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 31072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*c = -26, -54 = -4*g - 2*c - 10. Suppose -3*u + 29 = -5*r - 11, 4*u = r - g. Suppose 2*k = k - k. Put r, k, -2, 5 in ascending order.\nAnswer: r, -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -61.6 - -57. Let m = -516542 - -516536. Are l and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10004 - 32443?\nAnswer: -22434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10780 and 248920?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46 and 4439.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**4 - 17956*a**3 - 26874144*a**2 - 13419143936*a - 13392287744.\nAnswer: -4*(a + 1)*(a + 1496)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2052 divided by 9?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -210113 (base 4) to base 8.\nAnswer: -4427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + 7*z + 5. Let h(g) = -g - 1. Let j(s) = -2*h(s) - q(s). Let a be j(-5). Let m be 18\/(-42)*(-378)\/(-72). Which is greater: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from kkuukkkkkkuukkkkkkuk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0.022121072, 0.5.\nAnswer: 0.022121072, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -75753.116 to the nearest 1000.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -35*q**2 + 68 - 21458*q**4 + 21459*q**4 - 259*q**2 wrt q?\nAnswer: 4*q**3 - 588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 44e44 + -5?\nAnswer: 44e3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j + 0*j + 10*j**2 - j**2 - 5*j**2 in the form v*j**2 + l + r*j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 4*j + 191, 0 = -5*p + j + j + 889. Suppose -5*h + p + 396 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33862.98 - -33863. Which is the closest to 0.2?  (a) -3\/2  (b) -5  (c) -219  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-4)\/10 + (-12)\/(-5) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*v - 17*v - 7*v**2 + 3*v - 3*v - 2*v**2 + (2*v - 2*v - 2*v)*(3*v + 2*v - 3*v) + 9*v**2 - 247*v + 247*v as r*v + b + l*v**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s + 0*s - 63612*s**3 + 16573*s**3 - 79529*s**3.\nAnswer: -126568*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 4*o = -112, -4*p - 1 - 87 = 2*o. List the prime factors of (-4)\/(-8) + 3*(-14932)\/p.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of -t**10\/1260 - t**6\/120 + t**3\/6 + t. Let u(s) be the second derivative of q(s). Find the third derivative of u(y) wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a + 28 = -8*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*c, -c - 5647 + 5678 = 4*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 7*m - 21. Let z(v) = 20*v - 63. Let c(n) = 17*p(n) - 6*z(n). What is the remainder when c(8) is divided by (1\/2)\/((-1)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12a8 (base 15) in base 12?\nAnswer: -237b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 t when three letters picked without replacement from {t: 5, w: 1, s: 3, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 826 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 8:15 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 4569*t + 108 = -4564*t, 111*t = 2*i + 2438 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s + 151 - 3*s + 3*s.\nAnswer: 3*s + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1351, -0.2, 1.27?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 0.04  (c) 2316  (d) -2\/3  (e) 0.2  (f) 14  (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 509*b + 118*b + 9534 + 12411 = 0 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -21. What is the third biggest value in 0.1, 1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x - 8. What is d(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-144))\/(155\/20 + -9).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 22000 (base 4) to base 8\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48) - (-5 + 2 + sqrt(48)) - (sqrt(48) - (sqrt(48) + -2 + 1) - sqrt(48))**2.\nAnswer: -46 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -169\/42 and (-178)\/126*-3*21\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5 - ((-1355425)\/25 + -9).\nAnswer: 3, 18077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -2.9. Suppose 5*j - 3*j + 42 = 0. Let r be ((-36)\/j)\/((-2)\/(-1)). Sort -4\/9, r, k in descending order.\nAnswer: r, k, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/k**37*k\/k**(-3\/16))\/(k**14*k\/(k**(2\/13)*k)) assuming k is positive.\nAnswer: k**(-9913\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 + 5 = -2*m, 2*n = -3*m + 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -407 * 0.01.\nAnswer: -4.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q - 2*z - 2, -34*z - 23 = q - 31*z for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 897 = 5*c, 10*c - 5*f - 900 = 5*c. What are the prime factors of c?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47839 + 77999. What is the greatest common divisor of a and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 634 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - -3. Suppose 3*y + 59 = 14. Is v at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -31 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 450441 is divided by 135.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a (base 15) to base 16.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5423\/22)\/17)\/(10\/(-20)) + -10 + 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 6, 19*r - 16*r = -6*z + 89730. What are the prime factors of z?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n. Let z be t(7). Find the first derivative of 2*k - 4 - z*k + 7 wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2057))**2 + (4*1*sqrt(17) - sqrt(17)).\nAnswer: -19*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2*(-2 - (-182)\/4)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s = -18*s + 27. Solve 5*v = -s*u - 2, -4*u + 4*v + 12 - 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -2. Let z(p) = -117*p - 3. Is z(f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 16861.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 56\/2093779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 2*i**2 - 1. Let f be d(-2). What is the closest to f in 0.8, -8, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1.3  (b) -11  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3889744335 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-2*sqrt(1152)*-6 - sqrt(1152)).\nAnswer: 2 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -66.29 - 3.71. Let g = x - -70.7. Sort -4, 0.2, g in decreasing order.\nAnswer: g, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.37 + -8.67. Which is the closest to 0?  (a) 4  (b) m  (c) -5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4634 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00108129 rounded to 5 dps?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -141 - -102. Let i = j - -39. Suppose -10 = -2*l - 2. Solve 4*k - 2*b - 14 = -i*b, -8 = -k - l*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (9 + 1 - 9) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2907, 5812, 8717, 11622, 14527, 17432?\n\"Answer: 2905*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t. Let z(a) = 304196*a. What is x(z(r))?\nAnswer: -304196*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 + 3)*(0*z + 0*z - z) + 7 - 7 - 16*z as j*z + p and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -27. Suppose 23*w - n*w = 0. Which is the nearest to 0.5?  (a) 3\/7  (b) w  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c**(-2)*c))**(-7\/5))**17)**(-42) assuming c is positive.\nAnswer: c**(9996\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 12*p**2 + 249*p - 2566. What is h(11)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*y - 11324 = 90*y - 306*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/6*45360\/(-10800)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2483 - 134404 - 137049 = -6*g. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3689, -5, 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, -4 in descending order.\nAnswer: -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 116900570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1438.300683 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -85 + 160. Let n be k\/(-10)*2\/(-3). Suppose 0 = 2*o + n*h - 5 - 5, 4*o - 20 = -2*h. Solve o*t = -0*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 97.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 6. Let y be (-1)\/(-5) + 4\/(60\/1527). What are the prime factors of (-1 - o)\/(2\/y)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 230*m - 451*m**3 - 2*m**2 + 1 - 502*m**3 + 951*m**3 in the form o*m**2 + g*m**3 + p*m + f and give p.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 0.4  (b) 123\/4  (c) -0.07  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = -290 + 857 - 282 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1553 - 1552. What is z rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15511536 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u. Determine x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8327, 16676, 25025, 33374, 41723, 50072?\nAnswer: 58421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 + 1259 + 0 = 141*z - 1038 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + p - 28, 4 = -2*h - 2*p - 0*p. Let i be (0 - 2)\/(26\/4 - 7). Sort -1, h, i in decreasing order.\nAnswer: i, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15551 times -2261?\nAnswer: -35160811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 1:48 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2073 - 2070. Let b(m) be the second derivative of -m + 3\/4*m**2 + 3\/160*m**5 + 1\/2*m**a + 0 + 5\/32*m**4. Find q, given that b(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5 - 1 - 8*a + a**2 - 3*a**2 - 2.\nAnswer: -2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 298 (base 11) to base 14.\nAnswer: 1ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/25569 and -38\/15.\nAnswer: 127845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 32563*c**2. Let z(g) = -9*g**2. Give z(r(o)).\nAnswer: -9543140721*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 1588*z**2 + 167*z + 339. List the prime factors of m(-2).\nAnswer: 3, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -62477 - -37?\nAnswer: -62440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**4*v**(-21)*v*(v**(8\/5))**8 assuming v is positive.\nAnswer: v**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -20996700 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) -0.6  (b) 5  (c) 2\/5  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((1 - 0)*16\/(-384))\/(55\/(-99)). Let g(h) be the first derivative of 0*h + 0*h**2 - 1\/15*h**3 - 26 - 1\/50*h**5 - j*h**4. Factor g(w).\nAnswer: -w**2*(w + 1)*(w + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1028.3723209 to the nearest ten.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 - (-6*(-6)\/(-18) - 37) and 6\/4*(-8)\/(-2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cg when two letters picked without replacement from dbbdcpbcbgbgvddpbdpd?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 28 = 10. Let l = t - -6. Solve l = p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -8*y + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 58338428507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3054 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 + -56 - -73 - (-42)\/(-2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-5)*2 + (-1123)\/(-11230).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 + 17)\/(9\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*f + 163*f - a - 5 = 0, 2*a - 6 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide (-5 + 78\/18)*(-36 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44935260*k - 44935260*k - 4*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - 2 + 2)*(2*i - i - 2*i) + i - i + i**2 + 3*i - i**2 - 3*i - 2*i**2 + 3*i**2 - 3*i**2 + (3*i**2 + 2*i**2 + 5*i**2)*(5 - 2 - 1).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 336041322?\nAnswer: 2, 3, 6203, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**3 + 4*r**2 - 3*r + 4. Let f be d(-4). Is 9 a factor of f*(2 - (-5)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-64)\/(-20))\/((-2)\/(-480)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 11*m**2 + m - 1. Let s be t(1). Suppose -q - s = 4*y - 5*y, -21 = 2*q - 3*y. Find the common denominator of -81\/10 and (2\/3)\/(q\/(-186)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(28\/(-48)*3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*b + 18*b - 36 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vymyvrvmvr. What is prob of picking 2 y?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5625, 4, 6?\nAnswer: 5625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -7554*h + 14. Let y(u) = -7553*u + 10. What is -3*s(c) + 4*y(c)?\nAnswer: -7550*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 11. Let t = -2 + c. What is the third derivative of -12*v**t + v**6 + 10*v**2 + 0*v**6 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 589.8476 millennia in centuries?\nAnswer: 5898.476","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 162?  (a) -2.2  (b) -72  (c) 0.06  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i**2 - i - 1. Let c(d) = 6*d + 0*d**2 - 4*d**2 + 4 - 2*d**3 + d**3. Let n be c(-5). What is the smallest common multiple of b(n) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273105196557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.2 and -1234.659?\nAnswer: 1234.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 27 - 29*a**3 - 2 - 3 - 3*a**2 + 0*a**2 + 9*a. List the prime factors of v(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 26974 and -2.\nAnswer: 26972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of w**3\/3 - w**2 - 2*w + 7. Let t(l) = -l**2 - l - 1. Let a(c) = -2*t(c) - y(c). What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1473342254 a multiple of 8945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -640*p - 5313 = -717*p for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b - 3. Let a be (1 + 0)*(-5 + 8). Suppose 5*o - 3*o + 14 = 5*x, 2*o + 6 = a*x. Let z(w) = 2*w - w + x*w - 5. What is -7*u(l) + 4*z(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 - (-3*27 - -1). Suppose 6*x + d + 505 = 0. Let c = x + 109. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 20*t - 36. Suppose -20 = b - 6*b. Suppose 2*f - 8 = -2*m, 4*f - b*m + 9*m = 13. Is 13 a factor of y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63957778 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 128 + 7426?\nAnswer: 7554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 3*o + 2*o)*(0 - 2 - 3)*(-o**2 - 2*o**2 + 2*o**2).\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iuw when three letters picked without replacement from uiuiuiuiuuuwiiwiuui.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51970 - 314414 = -13*k + 130676. Is k a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 b when four letters picked without replacement from yyyybbby?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 671423640 - 4?\nAnswer: 671423635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15230511 and 106613577?\nAnswer: 106613577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -20.75*-2\nAnswer: 41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/15?  (a) 3\/4  (b) -2  (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + 1)\/(6\/78). Let a(c) = -28*c**2 + 13*c**2 + l*c**2. Let w(j) be the first derivative of 7*j**2 - 309. Calculate w(a(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.07736 less than -5?\nAnswer: -2.92264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 6*b - 10. Determine x(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15144448 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2116*h - 570 = -2105*h + 4*w, 4*w = -h - 0*h - 70 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*r*s**4 + 4*r*s**3 + 2*r*s**2 + s**4 - 13*s**3 - 5978*s**2 wrt s.\nAnswer: -168*r*s + 24*r + 24*s - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q + 7. Let f = -11 + 1. Let k be o(f). Let p(d) = d + 4. Let s be p(-4). Put s, 2, k in decreasing order.\nAnswer: 2, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q. Let m be -4 + 4*18\/6 - 8. Let n(p) be the third derivative of 1\/6*p**3 + 0*p + 12*p**2 + m - 1\/6*p**4. Give v(n(g)).\nAnswer: 8*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -7*a + 52. Let b be d(7). Suppose 11 = 5*t + 4*r + b, -3*r = 5*t - 11. Suppose 0 = t*n + 64 - 164. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (58 - 54) + (3 - (-14 - -2 - -3))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.25084073433 less than -1.827?\nAnswer: 3.42384073433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1151488 by 104.\nAnswer: -11072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-618252.\nAnswer: -247300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -3\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 475 and 213085.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -13, -2, -29 in descending order.\nAnswer: 0, -2, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from msksmmsksm. What is prob of picking 1 m and 1 s?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 709435877?\nAnswer: 709435877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.260864 rounded to 2 dps?\nAnswer: -12.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 3*b - 145, 2*b - 5*s = -3*b + 235. Suppose -b = -5*l + 235. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8064 and 24192.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -665684, -1331367, -1997050, -2662733, -3328416?\nAnswer: -3994099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 43 = 2. Suppose -4*n + 28 = 5*f, n - f - j = -17. Solve n = -w - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 8*z**2 - 10*z + 13. Let l be b(-9). Suppose j = -y + 2, 3*y + 0*y - 5*j = l. Solve -20 = -y*r - 0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 650878\/7 + -93160. Is -176 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**2\/3 + 45975*c + 34481\/3 = 0. What is c?\nAnswer: -34481, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/((r*((r**(2\/23)\/r)\/r)\/r)\/r*r)*r*r*r**(-2\/11)*(r**(-2\/5))**(25\/3) assuming r is positive.\nAnswer: r**(1061\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59239289 is divided by 1335?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p. Let i(t) = 133*t - 17. Let j(z) = 445*z - 51. Let r(g) = 10*i(g) - 3*j(g). Give 6*h(o) - r(o).\nAnswer: -o + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1651 + 1871. Solve -a = -215 + f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 x, and 1 g when four letters picked without replacement from gvvdoox?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 1:58 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 1. Let y(r) = r**2 - 10 + x - 4 + 6*r. Let z be y(-8). Calculate the greatest common factor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*(3\/15)\/(17\/((-1530)\/(-42)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 54*z + 221. What is the remainder when x(-4) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1540 is divided by 768.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, -130 in descending order.\nAnswer: -1, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3587 - -240.3987. Let r = w - 240. Round r to three dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*y + 77*y + 75*y - 22 + 22 in the form k + u*y and give u.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -2\/9, -2 in descending order.\nAnswer: 1\/6, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {l: 7, x: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/1084 and 77\/85636.\nAnswer: 85636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 10:58 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1374 - -1381. Solve -4*j + 9 = -c*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by (-2)\/(-7) + 770\/49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/33 and -37\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1938070728?\nAnswer: 2, 3, 11, 2447059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 6*x**2 + 2*x + 9. List the prime factors of c(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3501, 3609, 3789, 4041?\nAnswer: 4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h - 5*h - 18*h + 140 - 140.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -55*k**2 - k - 4. Suppose -f = -3*l - 2*l - 6, 2*f - 12 = l. Let b be h(f). Round b to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -18736, -18748, -18760, -18772, -18784, -18796?\n\"Answer: -12*c - 18724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 803.\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 2 + (0 + (sqrt(17) - sqrt(68)) - sqrt(17)) + 2 + 5 + (sqrt(1377) - -2*sqrt(1377) - sqrt(1377)))**2.\nAnswer: 192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**(-2\/9))\/z**10)**(-17\/4) assuming z is positive.\nAnswer: z**(629\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 28 - 2)*(-3*h**3 + 0*h**3 + 7*h**3) + (-2 + 2 - h)*(4*h**2 + 4*h**2 - 6*h**2).\nAnswer: 126*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*((-3)\/9 + 1). Let b(q) be the first derivative of -2*q + 1\/2*q**4 + 3*q**x - 2*q**3 + 1. Factor b(k).\nAnswer: 2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 2 o, and 1 h when four letters picked without replacement from orovohocook.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 8:12 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -814864206 or -814864207?\nAnswer: -814864207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**2 - 24449458*f + 24449456 = 0. Calculate f.\nAnswer: 1, 12224728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00059867474 to six dps.\nAnswer: -0.000599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -132*t**2 + 499*t + 116. Let n be l(4). Let q(k) = k - 306. Let s be q(0). Let h be (-6)\/(-4)*8\/s. Is h != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8884931?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 30 + 10*z**2 + 21 - 51 + 3*z**2 - 114*z**3 as i + f*z + j*z**3 + h*z**2 and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3085 is divided by 997.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3962*l**4 + 242*l**5 + 3962*l**4 + (-12*l + 11*l + 9*l)*(2*l**3 - 2*l**3 - 2*l**4).\nAnswer: 226*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -0.3, -0.1, -1073?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 5. Suppose y*d + u = 22 + 50, -d = -u - 18. Solve -5*m - 2*x + 8 = 19, 0 = -4*m + 3*x - d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**4 - 2828*q**3 + 11324*q**2 - 11328*q = 0.\nAnswer: -2832, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 14 = -3*u, 64*u = 62*u - 2*t + 16. Suppose o + 0 = -1. Let i be o + 6*u\/9. Solve -i*l + 1 = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 412346707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-26)\/(-8) - 9\/(-12). Solve -p*h + 10 = 5*w + h, 0 = 4*w - h + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2a4 + b97?\nAnswer: 8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggqgggq. What is prob of picking 1 q and 1 g?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 20652, 41294, 61936?\n\"Answer: 20642*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1413*p - 21818 = 33289 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -m - 4, 5*m + 9 + 11 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -8*o**6\/15 - 2*o**5\/3 - 5*o**4\/3 + 5*o**2 + 2. Let p(f) = 5*f**3 + 3*f**2 + 3*f. Determine -3*l(j) - 40*p(j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 217 - 216.91. Let p be 2\/(-9) - (-42836)\/(-180). Let j = p - -239. Which is the smallest value?  (a) s  (b) j  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 2 - (19 + -19)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 504 divide 43207416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-4))\/((-12)\/(-56)). Solve -2*p = -h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9478, -37442, -84048, -149296, -233186?\n\"Answer: -9321*r**2 - r - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 38*m + 98. Suppose -782 = 18*i - 260. Let j be s(i). Suppose -178 = -3*y + j. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-6))\/(-2)*6. Suppose -2*x - 2*p + 12 = 0, 106*x - 102*x - 2*p = 0. Suppose 355 = z*y + x*y + v, 3*v = -3*y + 264. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - (-2 + (-25)\/(-5)). What is the remainder when 51 + 1 + 15\/r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 - 10)*((-272358)\/8)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0981*-0.1563\nAnswer: -0.01533303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 13 = -33 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 5:45 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 728283718 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/18486 and 131\/936?\nAnswer: 73944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2820696 years in decades?\nAnswer: 0.02820696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 43234144 (base 6) in base 14?\nAnswer: 254704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -3*p + 3*x, 6*p - 2*x = 10*p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 1\/(1\/25). Suppose 18 + v = 3*l. Suppose 4*z = 3*w - 0*w - l, -3*w + 3*z = -18. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of 5*f**4\/12 + 8*f**3\/3 + 3*f**2\/2 + 27*f. Let y be n(-8). Suppose k = 3*m - y, k + 34 = m - 31. Are 64 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -3 + 3 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03057841 to 5 dps.\nAnswer: -0.03058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-2) + 24 - 0. Let l = -37 + 34. Let j be l\/18 + 1736\/48. Calculate the highest common factor of p and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2 + sqrt(95)\/sqrt(125) - sqrt(209)\/(1*sqrt(1584)))**2.\nAnswer: -28*sqrt(19)\/15 + 15331\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 570 + 572 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/(-4))\/(67\/134))\/9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8, 28, 76, 164, 304, 508, 788?\n\"Answer: 2*b**3 + 2*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = -f - 561 + 563, -4*f - 22 = 2*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 15*y - 11. Put -3, y, 1, 39, 2 in decreasing order.\nAnswer: 39, y, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (48*h + 7 + 2 - 54*h)*(h - h - 5*h**2) to j*h + f*h**3 + c + a*h**2 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 54.74115 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 362015881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i. Suppose v + 3*a - 2 = 5*a, 3*v - 36 = -4*a. Let k(t) = v*t + 10*t - 16*t. Determine k(r(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30.76 - 0.24. Let k = -30.8 - l. Is k smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 4*d**2 - 84*d + 12. Give p(-11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 3, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(2\/13))\/m)**(-26) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -5*s**4 + 705*s**3 - 25785*s**2 + 58995*s + 428490 = 0.\nAnswer: -3, 6, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - ((-1 + -3 - -3) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 0*i**2 + 2*i + 0 + 5\/6*i**3. Let y(v) = -3 + 5 - v - 2. Give y(j(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/5  (b) 21  (c) 4  (d) 24.3  (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/3*(-5)\/(-3))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77523 is divided by 657.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5958395?\nAnswer: 5, 1191679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/8*-2*0. Let j(w) = 0*w**3 + 6*w**2 - w**3 - 1 + a*w - 6*w. Determine j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -11*k + 11. Let u be y(-1). Let q be ((-2)\/5)\/(u\/(-165)). Solve -3*p + 16 = -q*r - 2*p, 3*r + 3*p = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3099.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*l**2 - 345*l - 57.\nAnswer: -3*(l + 19)*(6*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (2 + -9)) + -8 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 163639923 and -60622?\nAnswer: 163700545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1504621 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3c5b (base 15) in base 13?\nAnswer: 5b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -22058  (b) -3\/5  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/377 - -8304\/1885. Calculate the common denominator of q and -1\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12 + 14. What is the least common multiple of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.5 - 0.5. Let v be 4\/6*15\/20. Let c = v + -3\/4. Sort 1, c, q in descending order.\nAnswer: q, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.099889 and -0.01?\nAnswer: 0.00099889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32577 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*u + 6. Let b(i) = 57*i + 691. Let o be b(-12). Suppose 3*l - u*y = -y + 9, o = 2*l - 3*y. Solve 4*h = 2*h - l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 62 = 3*j. Let u be 1632\/(-40) + -4 + 57\/15. Let p = 51 - u. What is the remainder when p is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(-5)*d*d)*d)**(-43)*(d**(-10))**26 assuming d is positive.\nAnswer: d**(-475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -3  (c) -10  (d) -47.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25489, -25492, -25495?\nAnswer: -25498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j. Let x(c) = 14*c + 13. Let g(s) = 2*u(s) + x(s). What is the tens digit of g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2*1\/(-174))\/((3\/108)\/((-23)\/(-92)))\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5\/254*(-111 - (-92235)\/825)\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 - 19*r**2.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 264 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.11944 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n**3 - 32*n**2 - 29*n + 13. Let s be w(17). Solve -114*c + s*c = -16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 25*h**3 + 15*h**2 + 3*h. Let q(x) = -48*x**3 - 27*x**2 - 6*x. Calculate -11*g(y) - 6*q(y).\nAnswer: 13*y**3 - 3*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -271485 - -271236.9946. Let v = 0.0054 + c. Let j = v - -248.0000398. Round j to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z + 7. Let a be ((-70)\/15)\/((-4)\/6). Let j be l(a). Suppose 3*w = j - 2. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 2\/33, 196\/115, 2\/5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i**4 + 12*i**4 - 17*i**4)*(-3 - 4 + 4) - i**4 + i**4 - i**4.\nAnswer: 29*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -179 + 178. Let a be 12\/(-7) - (-4)\/(-14). Does 25 divide 125*(2*-1 - (c + a))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 5 = 4*m, 17 = -2*m + m - 4*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.5 and -20339.\nAnswer: -20337.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.97 + 2.37. Let j = 5 + -3. What is the nearest to u in j, 3\/5, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 15 = -0. Suppose -11 = -p*j - 1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 + 9*b**2 - 4*b - 18. Let d be v(8). Suppose d*w - 4*w = 0. Suppose 0 = z - w*z - 72. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2 = -w, 2*i + w + 1 = 2*w. Let p be 21*(i - 2)*(-242)\/33. Let n = -103 + p. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11091, -22144, -33161, -44130, -55039, -65876, -76629, -87286?\nAnswer: -97835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2135369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 5 = -u, -19 = y - 3*u - 4. Let k(r) = 10*r. What is k(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - 1*(4 + -1). Let k(l) = l**3 + l - 3. Let s be k(0). Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -5*z - j, -j + 11 = -2*z + 14 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + 10*g**2 - 7*g - 61. Give i(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 718 = 4*d, 2*q - 688 = -4*d + 6*q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k + 19. Let i be (2*(1 + -6))\/1. Let b be y(i). Is 10 a factor of (b + -39)\/(-4) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 117, 229, 339, 447, 553?\n\"Answer: -m**2 + 115*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 - 7*b - 1. Let r(s) = s**2 + 8*s + 4. Let y be r(-4). Let j be (1\/(-2)*y)\/(-1). Calculate t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 4*f + 15, -l - 5*f + 21 = 37 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -5*m**2 - 13495*m + 81150 = 0.\nAnswer: -2705, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 17694.24 rounded to the nearest 100?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-43455*(26\/(-5))\/(-13))\/(6\/(-4))?\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -5*r**3\/3 + 5*r**2\/2 - 6*r. What is the derivative of n(o) wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 12668556?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + 448*y + 42595. What is a(-311)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27640 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 25813 + 130?\nAnswer: 25943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26427 and 5745.\nAnswer: 132135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17088360, -17088377, -17088394, -17088411, -17088428, -17088445?\nAnswer: -17088462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -15*w**5 + 2060*w**4 - 94305*w**3 + 1429440*w**2 + 900220*w - 20948400 = 0?\nAnswer: -11\/3, 4, 45, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 31*j + 168 + 80 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u - 5. Let l be (-1 - -4) + (-4)\/(-2). Let w be t(l). Solve w = q + 3 - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16.7 - 0.7. Let n = r - 13.04. Let t = 3.2 - n. Is t less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + -43 + -19 + 3 + 0.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27567ab2 + -4?\nAnswer: 27567aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 28 - 19?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*r**2 - 22*r**2 - 3*r**2)*(5*r**2 - 2*r**2 - 4*r**2) in the form q*r**2 + j*r + h*r**4 + u + g*r**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q - 9*q + 54 = 0. Solve 22 = q*h + 5*i, -3*h + 7 = -0*h + 2*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.02, -0.2, 21\/10, -28, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1962 < 1961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -76*c**2 - 5699*c + 83. Give v(-75).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-5 + (-4 - -8)). Let i be (-2)\/c*5*9\/30. Suppose -k = a - i, 2*k - 2 = -0*a - 4*a. Solve a = 4*d - 5*w + 13, -2*d = -5*d + w - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*o**4 - 39*o**3 - 5342*o**2 + 7164*o - 2392.\nAnswer: (o - 26)*(o + 23)*(3*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (46750\/2805)\/(1\/3)*(-15)\/10\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + a**2 - 3 + (23 + 2 - 138)*(a**2 - a**2 + 2*a**2).\nAnswer: -225*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -206*u + 210*u - 56. Suppose 0 = 2*n - 3*s + 1, 5*n - 4*s + 2 - 10 = 0. What is the remainder when u is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 - 13. What is the remainder when 25 - 2 - (3 - 5) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of -a**4\/12 - 5*a**3\/3 - 9*a**2\/2 + 4*a. What are the prime factors of x(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of g**3\/3 - g**2\/2 - g - 2. What is the remainder when a(-6) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-18)\/u)\/(u\/(u**(-45)*u))*u*(u**(-10\/9)*u)\/u*u*u\/(u\/(u*u\/u**9)) assuming u is positive.\nAnswer: u**(-631\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 - ((-17)\/1)\/(4\/60) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from sfwkwwsfk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 l when three letters picked without replacement from {l: 2, e: 1, d: 1, m: 2, z: 1, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9436797 = 32*b - 9438205 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**5\/60 + 2*q**2. Let g be ((-4)\/5)\/(4\/(-10)). Let j(o) = -7 + 7 + 2*o**g + 4*o**2. What is k(j(z))?\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i. Let k(n) = -n. Let x(y) = -6*k(y) + 5*q(y). Let r(u) = 22*u + 19*u - 1 + 10 - 43*u. Determine x(r(d)).\nAnswer: -2*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*h = 40*h + 73616. What is the highest common factor of 107 and h?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1450 = 39*d + 1592. List the prime factors of (d\/65)\/((-6)\/5350).\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 320 and 112403240.\nAnswer: 899225920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 - 2*v - 4. Let h be a(4). Suppose -h*r + 2169 = -r. Calculate the common denominator of 1\/(-3) - r\/(-198) and -89\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -1608842.\nAnswer: -1608842.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -50 and -493610?\nAnswer: 24680500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000134923579 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus 2617?\nAnswer: -2616.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i. Let m(z) = 5. Let d(c) = 6*k(c) - 3*m(c). Let l(r) = -3*r + 8. What is 6*d(f) + 11*l(f)?\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 7422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*z + 157*z + 314*z + 2 - 34*z.\nAnswer: 354*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*r + 20, -2*r = -2*m + 22. Suppose m*j = 3*j + 40. Suppose -8*x**3 - x**5 - x - j*x**2 - 5*x**4 - 4*x - 2*x**3 - 1 = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 81 + -76. Suppose -7*b = m + 16. Let g = 19 + -20. What is the fourth biggest value in b, g, 0, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(3) - sqrt(192)*2))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhthnhnha. What is prob of sequence hah?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 65*b - 2. Let k(z) be the first derivative of -1041*z**2\/2 + 30*z + 25. Let q(g) = -2*k(g) - 33*w(g). Find the first derivative of q(m) wrt m.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3561*a**3 - 728.\nAnswer: 10683*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*s - 181 + 149 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 159 and 3?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38 and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1363619644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1492313432?\nAnswer: 2, 59, 3161681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 9 + 34 = 0. Suppose -4*s + 26 = 2*o, -4*o + b*s - 2 = -15. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 702747 - 702747 - 68*u**3 + 46*u**3.\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m - 3. Suppose 3*x - 45 = -n - 4*n, -4*n - 3*x + 33 = 0. Let a = -266 + 269. Suppose a = -3*j - n. Give k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27792.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 4:10 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32.994 + -33. Let m = 1.006 + f. Is 4 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-78728004.\nAnswer: -15745600.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 264866.7 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(((-8976)\/957)\/(-34))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6*30\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3178 a factor of 1836181662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 10:46 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2260473891 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) 4.7  (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + y - 1. Let a be d(2). Let n(m) = m - m**2 - a + 8*m - m. Does 2 divide n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/(-4))\/((-2)\/(-1)). Sort 2, i, -4 in decreasing order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-955)\/(-10) + (-1)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r*r**(-5)*r))*r)**(-2\/7)\/((r\/r**(1\/8))\/r**14) assuming r is positive.\nAnswer: r**(767\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3407459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, 2, 2\/115 in descending order.\nAnswer: 2, 2\/115, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and 123.2?\nAnswer: 128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 5*l**2 + 12*l + 33. Let s be w(-6). Let j(d) = -4*d - 6. Calculate j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.09 - -0.08. Let u = 0.01 + i. Let v = -0.2 - u. What is the smallest value in v, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -182*x**2 - 11*x - 1. Let a(h) = 61*h**2 - 1. Let p(c) = -3*a(c) - r(c). Determine p(15).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -316\/1057 + 2\/151. Let c = -0.09 + 0.02. Let v = c - -0.04. Is v at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 33 = -3*o. Let w be 88\/o*(-3)\/2. Determine s so that -2*s - w*s**3 + 16*s**3 - 3*s**4 - 12*s**2 + 2*s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o\/((o\/o**(-2\/3))\/o*o)*(o*o**(-6))\/o assuming o is positive.\nAnswer: o**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -4. Suppose n = -2*v - 0 + 10. Are v and 5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1854, -3706, -5554, -7398, -9238, -11074?\n\"Answer: 2*a**2 - 1858*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(243))**2*4 + sqrt(243).\nAnswer: 9*sqrt(3) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53 and 229331?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t - 15. Suppose 5*f - 7 = -4*u, -4*u + 7*u + 1 = -5*f. Let d(r) = -2*r + 44. What is u*q(k) + 3*d(k)?\nAnswer: 2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -978.\nAnswer: 13\/978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -3.57940126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6905248 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 1420623*b**2 + 8613*b + 5742. Let q(i) = 990*i**2 + 6*i + 4. Let z(v) = 2*d(v) - 2871*q(v). Let l(s) = 13*s. Determine l(z(f)).\nAnswer: -13572*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k = 9*k - 18*k - 171. Which is the nearest to -0.1?  (a) k  (b) 2\/13  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 35565063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*u + 21*u - 15*u + 12*u + 20*u + 9*u.\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 3:41 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 1 - 9 = 0. Let w = 5 - t. Let u = 13.5 + -13. Sort w, u, -2 in increasing order.\nAnswer: w, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/36*(-5427)\/(-134)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3417*p**3*u*z**2 + 5*p**3 + 9*p*u*z**2 - 1143*p*u*z + p*z**2 - 19*z wrt z.\nAnswer: -6834*p**3*u + 18*p*u + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46376?\nAnswer: 2, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 12. Suppose 5*f - 52 = -127. Let m = j - f. Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 1001100100110100110?\nAnswer: -1001100100110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -82.59 to 0 decimal places.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4835\/4 - 1205. What is the common denominator of j and 77\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 150 + -19713?\nAnswer: -19563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-5*(5*sqrt(1782)*-3 + sqrt(1782))\/(5*sqrt(1584)*-2).\nAnswer: 63*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/588 and -23\/12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 12*t - 17*t + 8*t. Put -5, -8, t in descending order.\nAnswer: t, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (1190 - 368 + 215)*(1 + 4 - 3)*(-8*l + 10*l + 6*l).\nAnswer: 16592*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 4*o - 1. Let x = -16 + 19. Let a = -132 + 234. Calculate the lowest common multiple of j(x) and a.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(200))\/(-6*sqrt(64)) - (sqrt(98) + sqrt(98) + (-4 + sqrt(98) + -1)**2 + sqrt(98))*4.\nAnswer: -492 + 2357*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(20 - (-14688)\/(-729))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6 + 6)\/3 - (-3 - 0). Let d = 11.74 + 0.26. What is the closest to 0.1 in 5, z, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + (-68)\/(-36))*(285 + -282)*(-468)\/(-2).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 - -44. What is the highest common divisor of 105 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 16\/7  (b) 0.36  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-9)\/(-3))\/(1012\/(-92)))\/((-90)\/(-12))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 215787174 - 1?\nAnswer: 215787173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 46121, 92145, 138003, 183611, 228885, 273741, 318095, 361863?\n\"Answer: -14*l**3 + l**2 + 46119*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 18 = 2*k - 5, 6 = -k + r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-5 + 582\/120). Suppose i + 3*i + 5*b = 20, 5*i = 5*b - p. Solve 3*a = 4*c + 32, i*c + a - 9 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -6.4. Let a(p) = 7*p**2 - 45*p - 28. Let o be a(7). What is the second biggest value in 1\/18, o, 4, t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.55 - -1.3. Let f = l - 4.7. Let x = 0.15 - f. Sort 1\/2, 2\/7, x in ascending order.\nAnswer: x, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73240807.11 + 698\nAnswer: 73241505.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20287\/42 + -483. Let a(o) be the second derivative of 0 - 2\/21*o**3 - 1\/7*o**2 - s*o**4 + o. Find y, given that a(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of z**4\/4 + 4*z**3\/3 - 4*z**2 - 3*z + 30. Let s be n(3). Let o = s + -32. What is the third biggest value in o, 1, 2\/5, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 20 = -8*v. Suppose -8 - 22 = -v*i - 5*d, 2*d = 2*i - 6. Let w(k) = 14*k**2 - 7*k + 4. Is w(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109 + 19 - -50 - (-3 + -14)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 12*b**2 - 10*b - 93. Determine l(-13).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -5.03.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 38645168 and 261.\nAnswer: 347806512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 14) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 1063*g + 244*g + 255*g + 380*g + 28.\nAnswer: -184*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-24)\/(-10))\/(2\/15). Suppose 0 = 6*b - 4*b - v. Is 3\/(3\/b*1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*i - 17*i + 140. Suppose i*a = -6*a + 10. What is the nearest to a in 0.4, -1, -0.19, 1\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 151469 and 47409797?\nAnswer: 47409797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14821, 119428, 403615, 957178, 1869913?\nAnswer: 3231616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 15*(-10)\/(-4)*(-8)\/(-12). Let q = -32 + m. Let f(s) = s**2 + 3*s + 4. Let z be f(-3). Sort z, q, 3 in descending order.\nAnswer: z, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83903, 83853, 83807, 83765, 83727, 83693?\nAnswer: 83663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -13464\/178289 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 104 = c. Let f be 2*173\/14 - (-2 - 60\/(-35)). Suppose -c*s + f*s + 210 = 0. Is s a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 2*z**3 - 14*z**4 + 3*z**3 + 13*z**4 - z as o + g*z**4 + s*z**3 + n*z**2 + y*z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30 - ((1 - 12) + 2)) + -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/4 in -2\/3, -0.12, -0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*i - 16*i = -57000. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -84218 - 7?\nAnswer: -84224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**3 - 49*d**2 - d*w - 375*w wrt d.\nAnswer: 6*d**2 - 98*d - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 28. Suppose 5*g - 17 = -l*f - 57, 41 = -4*f - g. Let w = 15 - f. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 6*o - 5. Let i be y(7). Suppose -3 = i*v - 21. Find the second derivative of 9*s**2 + 2*s + s**3 - v*s**2 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187247550?\nAnswer: 2, 3, 5, 7, 151, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.642  (b) 2\/5  (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.83741 decades in millennia?\nAnswer: 0.3683741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.45488 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4*l**3 - 6*l - 2 + 2*l**2 + 3*l**3 - 2*l**3. Let p(a) = 80*a + 1 - 6*a**2 - 64*a**3 + 25*a**3 - 63*a + 5 + 25*a**3. Determine -17*c(g) - 6*p(g).\nAnswer: -g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 13*s**2 + 13*s - 9. What is d(-12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 18 = -0. Let y(u) = -5*u + 1. Let q(i) = -i. Let f(s) = 11*q(s) - 2*y(s). Is f(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 83*g**2 - 48*g - 20. Give i(2).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 336736117?\nAnswer: 336736117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (271 + 571 + 411)*(-n**2 - n + n).\nAnswer: -1253*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -1315 + 1335 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 2\/13, -69080, 1\/4 in increasing order.\nAnswer: -69080, -0.5, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 5*r + 2. What is the tens digit of x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.324184+1.0529\nAnswer: 0.728716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70)*1 - sqrt(70))*3)\/(3*sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 33. Let z = 11 - v. Let x be (-63)\/28 + (-4)\/z. Which is the second biggest value?  (a) x  (b) 1\/3  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 50*z**2 - 12. Let f(q) = -49*q**2 + 10. Determine -6*f(j) - 5*l(j).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 23*b - 8 + 6 + 12 + 4*b. Is y(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 3*d**2 - 6*d. Let h be c(-4). Let p be h*(-4)\/6*-3. Suppose 78*z = p*z - 96. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1075881*o**2 + 439004 wrt o?\nAnswer: -2151762*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -2*o + 80. Let x = -32 + o. Let u be 5\/50*(-20)\/x. What is the second biggest value in -2, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 14, -3, -9, 5, 2\/15, -1\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*c**4 - 268080*c**3 + 1608588*c**2 = 0. Calculate c.\nAnswer: -89366, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -508.81802 rounded to one decimal place?\nAnswer: -508.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1330 and 3838?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -15879766000 rounded to the nearest 1000000?\nAnswer: -15880000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/13 + 392*r\/13 + 7958\/13.\nAnswer: 2*(r + 23)*(r + 173)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1162461 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 63906615 to the power of 1\/2, to the nearest integer?\nAnswer: 7994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.061654 to 4 decimal places.\nAnswer: 0.0617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d**2 + 77*d**4 + 34*d**4 - 12*d**4 - 7*d**4 wrt d?\nAnswer: 2208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, h: 10, z: 2}. What is prob of picking 3 h?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 697, 886, 1069, 1246, 1417, 1582, 1741?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 510.0171 years in centuries?\nAnswer: 5.100171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -7*a + 57. Give y(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -3*b - 1. Let a be f(-2). Suppose 0 = -5*i - 0*i + a. Solve 3*r + r**2 + i + 0*r - r = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 12*r**2 - 12*r + 5. Suppose -5*n = t - 51, 5*t - 29 = -4*n - 5. Let x be u(n). Let o(j) = 6*j**2 + 4*j - 5. Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000026062676 rounded to seven dps?\nAnswer: 0.0000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3 = 2*a, 2*y + 1 = -5. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -13*r**2\/2 + 2*r + 1984. Determine n(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 356, 1472, 3350, 5990?\nAnswer: 9392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*a - x, 0*a - 2*x - 12 = -3*a. Suppose f = -f + a. Suppose -f*n + 1 = 4. Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 31815 and 60.\nAnswer: 127260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.73, 4, -0.4, 3\/7 in decreasing order.\nAnswer: 4, 2.73, 3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 5*d = 0. Suppose 141 = 3*v - d*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g**5 + 372*g**4 + 1272220*g**3 - 1909488*g**2 - 1272752*g = 0 for g.\nAnswer: -377, -1\/2, 0, 2, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 9150 = -5*h, 2*g = 29*h - 24*h - 9150. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -19*l**3 - l**2. Let u be k(-1). Let j = u - 40. Let d = 53 + j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*w**4 + 45*w**3 + 225*w**2 - 2905*w + 5880 = 0. What is w?\nAnswer: -8, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.365 + -0.055. Let p = x + -0.01. What is the third biggest value in -1\/3, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 485669548 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -92 + 91. Let w be (n\/5)\/(-8 + 39\/5). Let i(g) = -22*g. Determine i(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 - 5. Suppose 3*u + 97 = 4*d, 0*u + 117 = 4*d + u. Let w be (-99)\/(-21) + 8\/d. Solve -f + w*f + g = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.1 + 2. Let u = 18.1 + 107.9. Let r = -125 + u. Which is the third smallest value?  (a) r  (b) 0.07  (c) n  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g\/(g\/g**3)))**(-37))**(-1\/11)*(g**(-4\/11)*g*g**1)\/((g*g\/g**(-3\/8)*g*g)\/(g*g**(-2\/21))) assuming g is positive.\nAnswer: g**(-22037\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k**2 - 5*k. Let o(j) = -7*j**2 + 6*j. Let l(c) = 6*n(c) + 5*o(c). Let y(b) = 3*b. Calculate l(y(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-4)\/(-22))\/1 + (-1241)\/(-11) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/28?  (a) -2.88  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38 + 85. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2692\/4051 - -26\/12153. Let -20\/3*b + 2\/3*b**2 + 16\/3 + p*b**3 = 0. Calculate b.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(672)\/(sqrt(96)\/sqrt(8)))\/sqrt(7))\/((sqrt(256) - (sqrt(256)*-2 + sqrt(256) - sqrt(256)))*5).\nAnswer: sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 92 + 1207 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (35 - 530*y - 523*y + 1056*y)*(13 - 3 - 2) to the form u*y + a and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 770 - 282804652533.\nAnswer: -282804651763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 10*b - 4. Let l be o(-9). What is the second derivative of t + 55 - 2*t - 55 + 8*t**l wrt t?\nAnswer: 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -9*d - 2. Let s(n) = 42*n + 19. Let x be s(3). Let v = x + -148. Give w(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from {a: 5, g: 1, f: 4, n: 1, l: 1, s: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from wawwwaww.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -5\/7*d**2 - 2\/21*d**3 + 55 + 0*d. Let n(a) = 0. Calculate a.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 1011011001110101011001?\nAnswer: -1011011001110101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 9*o**3 - o**2 + 2*o - 1. Suppose i = -3*i + 2*n, 0 = 2*i + 3*n - 8. Let y be v(i). Suppose 10*c = y*c. Solve c*b + 5*b = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1057680\/(-8475)*(-10)\/26?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 745.2486l to millilitres.\nAnswer: 745248.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31 and 395777.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 16 = 3*y, -2*f + 0 - 4 = 0. Suppose -5*u = y - 12. Suppose 0 = 2*w - u, 0 = -4*m + 2*w - 0 + 14. Solve 0 - 4 = -m*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4137 (base 8) to base 6.\nAnswer: 13531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**3 - 3*u**3 + 3*u**3 + (-6*u - u + 3*u + 2)*(7 - 7 - 5*u**2).\nAnswer: 17*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -338 divided by -26\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 3346347\nAnswer: 1003904.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 24*g - 6. Let o be j(4). Let m(z) = -z**3 + 4*z**2 + z - 2. Let x be m(3). What is the greatest common factor of x and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14046 - -14041. What is the closest to 9\/7 in 2\/5, 8\/7, v, -0.5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 4  (b) 1  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -383*p - 714*p - 758*p.\nAnswer: -1855*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2 - i - 1 + 1 + 8. Does 6 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - 1 - (-9 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 2*m = -t - 8, -t - 3*m + 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110 + -202201231?\nAnswer: -202202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(270)\/(sqrt(6)*2) - -3*sqrt(1620))\/((sqrt(72)\/(sqrt(4)\/sqrt(2)))\/sqrt(4)*4).\nAnswer: 37*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Convert 111020022111212 (base 3) to base 14.\nAnswer: d110bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + 10*m**2 + 10*m + 12. Suppose j - 24 = 2*r + 4*j, 3*j = 2*r + 12. Let t be i(r). Suppose 2*c - t = 1. Solve c*g - 6 = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.205039 tonnes in micrograms?\nAnswer: 2205039000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -107 + 335 - 114 - 113. Let f(k) = -33*k**2 + k - 7. Let a(o) = -f(o) - 5*w(o). What is the hundreds digit of a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11653 = -12*y + 21755. Let z be 14*70\/y + (-6)\/16. Is -1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 968*t**4 + 9944*t**3 + 26858*t**2 + 6780*t + 450.\nAnswer: 2*(t + 5)**2*(22*t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37201080 and 26264.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1823 divided by 74\nAnswer: -1823\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4)*w)\/(w**12*w)*w**11\/w*w\/(w*(w*(w*w*(w\/((w\/w**(4\/9))\/w))\/w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -111*l + 195 - 306. Which is smaller: l or 2\/4883?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 17 + (-35)\/28*12. Suppose 2*g - 7 = 3*c, -4*c - 4 - 13 = 5*g. Sort 5, r, g, 4.\nAnswer: g, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 352 (base 7) in base 16?\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -989, -4179, -9539, -17105, -26913, -38999, -53399, -70149?\nAnswer: -89285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -766 + n - 36 - 1796.\nAnswer: n - 2598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -o**6\/60 + 11*o**3\/6 + o**2. Suppose -205 = -50*d + 45. Let z(c) = -3*c**3 + 17. What is d*z(p) - 8*j(p)?\nAnswer: p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -22*j**2 - 72*j - 34. Calculate q(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.040402710703 from -0.3.\nAnswer: -0.340402710703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s**2 + 6*s - 4. Determine c(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*a**2*s**2 + 4*a**2*s + 69*a*s - 23*a + 2471581*s**2 wrt a?\nAnswer: 10*a*s**2 + 8*a*s + 69*s - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1620531*m*u**2 - 745073*u**2 - 3*u wrt m?\nAnswer: 1620531*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 5*r + 35 = 0, r + 74 = 20*c - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 7:59 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l**2 - 6*l + 5. Let q(a) = -a**3 + 6*a**2 + a - 4. Let w be q(6). Let p be j(w). Solve -4*t = 4*o + 12, o = -t + p*t + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 334605507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 65*m**6 + 26*m**5 - 3*m**4 - m**2 + 2415*m - 1 wrt m?\nAnswer: 7800*m**3 + 1560*m**2 - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, k: 6, m: 2, w: 1, l: 3}. Give prob of sequence km.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i - 5. Suppose -3*y + 8*y = 0. Let m(z) = -11 + y - z - z + 0*z. Suppose 0 = -0*f + 3*f + 39. Give f*h(l) + 6*m(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2531*q + 1875*q - 3758*q.\nAnswer: 648*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.145 - -0.055. Let g be 2 + (-36)\/17 + 0. What is the third smallest value in -3, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2*y = -214, -6*z - 3*y + 1035 = -z. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2752 in 18, -2\/13, -2\/5, 0.6, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 12621.4034 - 0.4\nAnswer: 12621.0034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 9. Suppose -3*c - 9 = -n*c. Suppose w = -a - c*a - 304, -a - 1201 = 4*w. Round w to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**2 + x - 2. Let b be s(-2). Let k = 5709 - 3798. Suppose -347 + k = b*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of 0*n + 0 - 1\/4*n**4 + 0*n**3 - n**2. Let w(p) = p + 2. Let x(d) = -d - 1. Let g(f) = -w(f) - 2*x(f). Calculate g(j(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2024*d**5 + 2*d - 103 wrt d.\nAnswer: 40480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -59632*l - 67306 wrt l.\nAnswer: -59632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*f - 1214 = 283, 3*u = 2*f + 1496. List the prime factors of u.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1671787)\/151983 - 4) + 15. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55227.\nAnswer: 3, 41, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 392*c - 169743. What is i(433)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 - 27*q - 92.\nAnswer: -(q + 4)*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 + 10 = -3*t. Let m = -45 - t. Let r = -1 - m. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {j: 3, c: 2, s: 3, p: 2, r: 1, v: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*a + 17299 + 6784 = 0, -2*p + 16074 = 2*a. Let v = -4294 + p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -23747050\nAnswer: -1\/4749410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 861272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c4 + -3d80b?\nAnswer: -3d627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 15 = -4*j, -9*y - 3*j = -8*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141 + 146. Let r = -740 + 6662\/9. Which is the smallest value?  (a) -1\/2  (b) 4  (c) v  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 3*n - 11, n = -1 - 1. Suppose -3*k - 102 = -4*f, 5*f + k - m*k = 127. Suppose -333 = -4*t + f. Is t a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-212)\/(-10)*(-55)\/(-22). Suppose -m + d = -4. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -1. Let i(p) = -32*p - 85. Let v(q) = -7*q - 16. Let w(r) = 2*i(r) - 11*v(r). Determine -w(z) - 6*y(z).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -60 and -382.9.\nAnswer: -442.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.1  (b) -3\/4  (c) -3  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4098*h**2 - 11178 wrt h?\nAnswer: -8196*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 183759212 divided by 82.\nAnswer: 2240966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 16*v - 13. Let x be g(17). Let y be -1*5 + (x\/(-6) - 6). Let k(l) = l**2 + 7*l + 2. What is k(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3411031 (base 6) to base 4\nAnswer: 222020323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n - 7. Let q be x(-5). Let f be 0 - (1 - (0 - q)). Let s(c) = -c**3 - 6*c**2 + 3. Let v be s(-6). Is f >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13782 + -13781. Which is the nearest to 11?  (a) 9  (b) r  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, o: 1, q: 1, m: 2}. Give prob of sequence qo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 - 19. Let i = w - -9. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 not equal to -109\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1398422 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 650 = -82*v - 334 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/67 or 0.09057?\nAnswer: 0.09057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92, 1051, 2018, 2993, 3976, 4967, 5966?\nAnswer: 6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*x - 1224 = -584 + 197 + 2091 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4 = -4*u, -5*h - 11 = -5*u - 6. Suppose -5*z + 20 = 5*c, 4*c - 3*z + 29 = 2*z. Is h greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, v: 1, u: 8, a: 2}. What is prob of picking 1 u and 1 y?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 1 - 3\/3. Suppose -2 - z = -s. Suppose 19 = 3*k + 5*w, 0 = 3*k + s*w - 0*w - 15. Solve -2*x - x = -k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*u - 49*u - 49*u + 260*u - 94*u.\nAnswer: 47*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16710790 + 16710641.99846. Let g = h - -148. Round g to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*(d\/d**(2\/25))\/d)\/d**(2\/3)*d**(2\/17)*d*d**(-2) assuming d is positive.\nAnswer: d**(473\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3*z - 4 = 2*v, 4*v = 5*z + 19. Let y(t) = 3*t + 2. Let f be y(v). Suppose s = -f*s. Which is smaller: s or 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 106119267*j**3 - 162740421 wrt j.\nAnswer: 318357801*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 69449 + -69449. Factor 0*o + 1\/2*o**4 + o**3 + t - 3\/2*o**2.\nAnswer: o**2*(o - 1)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 + 22. Suppose 49 = 4*o - 3*k, k + 3 = -h*k. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3. Let o(c) = -c + 3. Let l be o(-1). Calculate the remainder when (-1240)\/(-44) + l\/(-22) is divided by a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.9 in 1\/4, 0.5, 2\/31, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -103, -534, -1295, -2386, -3807, -5558?\nAnswer: -7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47796, 95410, 142656, 189348, 235300?\nAnswer: 280326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, g: 7}. Give prob of sequence gmgg.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/41218486 and -16\/61827729.\nAnswer: 123655458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4\/3)*a**(-21))\/(a**(2\/3))**(-33) assuming a is positive.\nAnswer: a**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 + 16 = 2*g. Suppose i - 49 = -4*j + 28, -4*j + g = 3*i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193 is divided by 59.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.051433*-17.\nAnswer: 0.874361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -30\/11*j**4 - 68\/11*j**2 + 124\/11*j**3 - 126\/11*j + 98\/11 + 2\/11*j**5 = 0. Calculate j.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1124\/7 - -161. Let l be ((-2)\/4)\/(-2 - 5\/(-2)). Is l smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/8)\/((-6)\/(-56)). Let i be (-80)\/(-14) + 4\/t. Let q(c) = c**2 - 8*c + 9. Let m be q(i). Put -1, m, 3 in decreasing order.\nAnswer: 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56726 divided by -8.\nAnswer: 28363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 494166, 494165, 494164, 494163, 494162, 494161?\nAnswer: 494160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - y + 1. Let j(g) = -38*g**3 - 3*g + 3. What is 3*h(w) - j(w)?\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2174568.\nAnswer: 2, 3, 11, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 30238835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzzl. What is prob of sequence zl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -201*i + 34. Let l be z(-2). Find the third derivative of -73*u**3 - 4*u + 880*u**2 - l*u**2 - 436*u**2 wrt u.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-12 - 3)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -74*s**2 + 316*s - 357. What is l(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1718*x + 1795*x**2 - 765*x**2 - 971*x**2 + 42*x - 683*x**2 wrt x?\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 + 6*w - 4. Let b(d) = d**2 + 7*d - 8. Let a be b(-7). What are the prime factors of l(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nyk. What is prob of sequence ynk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 9:47 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -3*u**2\/7 - 369024*u\/7 + 294522579\/7 = 0.\nAnswer: -123801, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 6828.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 7. Find the common denominator of 143\/6 and ((-114)\/16)\/((-1)\/l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.12 + -0.08. Let r = 327358.40000112 - 327359.6. Let k = g - r. Round k to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31 - -1) + (-279 - -266).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*c + 1 - 1)*(-81*c - 70*c - 49*c) to the form h*c + q*c**2 + v and give q.\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130 = -3*j + 52. Let d = 52 + j. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m**2 + 3*m + 3. Let l be p(-3). Let o = l + -11. Is 21\/6*o - 0 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3787 - -3786.9. Which is the closest to p?  (a) -2\/27  (b) -0.17  (c) -2\/11  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 1)*(52*p**4 + 161*p**3 - 161*p**3)*(0 + 4 + 16) to the form h*p**4 + v*p**2 + a*p + j*p**3 + k and give h.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -131  (b) 1.9  (c) -0.02  (d) 0.08  (e) 0.4  (f) -1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(243) + 1 + sqrt(243))*6 - (-2 + sqrt(243) + 1)*-1)**2.\nAnswer: 1710*sqrt(3) + 87748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, 5, 0.6, -1\/2, 2\/209 in decreasing order.\nAnswer: 5, 0.6, 2\/209, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -168, -1.3, 4\/81?\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - (-39 - (-3 + 1)). Let c = 45 - q. Suppose -13*b = -223 - 115. Calculate the remainder when b is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-2 - ((0 - 5) + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -119214333*r + 224064617?\nAnswer: -119214333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.03 + 0.87. Let x = -1.9 + f. Which is bigger: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2441842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -6*2\/6*(-60)\/20 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + 16)\/(-6) + 10. Let h(v) = -12*v**2 + 84*v + 6. Let i be h(x). Solve 2*m + 6 = 2*g, 2 + i = -4*m + 3*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 6*n**2 - 4*n - 2. Let i be l(5). Suppose 2 = 4*u - i*u. Determine z, given that 5*z + 1 + 3*z**3 + 10*z - 12*z**u - 7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9048, 9118, 9188, 9258, 9328?\nAnswer: 9398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 10*a - 8*a - 28, -2*a + 44 = -4*u. Solve -4*t + 2 = -a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 837 - 412. List the prime factors of d.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -535*u + 538*u = 3*d + 24, 5*u - 70 = -d for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/sqrt(3)*-3 - sqrt(12)) + (sqrt(24)\/sqrt(2) + sqrt(12))*-2)\/(6*(sqrt(4) - (sqrt(4) + sqrt(4) + (sqrt(400)*3 - sqrt(400))))).\nAnswer: 4*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62349554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/4)\/(-1 + -1). Let o be (-3 - (-425)\/140)*12. Which is the second biggest value?  (a) y  (b) 1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9\/30)\/(4\/(-10)) - 30261\/(-11004). Solve 18\/5*j + 0 + 38\/5*j**m + 2\/5*j**4 + 22\/5*j**3 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -1100100?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1\/12)*(d\/(d*d\/(d\/((d*d**(-2\/5))\/d))))\/d*(d**(2\/5)\/d)**(-1\/46)*((d**0*d*d)**(-37))**(-3\/40) assuming d is positive.\nAnswer: d**(3367\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -47 - 25*q - 15\/2*q**2. Find the first derivative of c(w) wrt w.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 10*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -73 + 75. Let y(j) = j. Let b be y(2). Suppose -k + 18 - 1 = b*c, -10 = -2*k. Solve -5*h = 0, -w*s + 0 + c = 4*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 730 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of -13*y**6\/120 - y**5\/20 - y**4\/12 + y**3\/6 + 10*y**2. Let t be c(-4). Let o = -472 + t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4432.24 millimeters to meters.\nAnswer: 4.43224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a7 - 54a23?\nAnswer: -54827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.336*-0.022688.\nAnswer: -0.007623168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 761, 1583, 3819, 8177, 15365, 26091, 41063?\n\"Answer: 118*b**3 - b**2 - b + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 10*k**2 + 821*k + 93. Let n be y(-82). Let s = -91 - -135. What is the greatest common factor of n and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjgeelljejgjjlfagl. Give prob of picking 3 e and 1 g.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65248 and 3411247.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -409, 538, 4 in increasing order.\nAnswer: -409, 4, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 298 - 305. Let x(r) = -3*r - 10. Determine x(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(2) + 1*sqrt(6)\/sqrt(3))**2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) 2  (c) -2\/105  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from iikkikkikk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 95.5 + -131. Let y = i - -63.2. Let j = -27 + y. What is j rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19193\/4 - 4698. Suppose 1515 = -10*y - 5*y. Let h = w + y. Which is the smallest value?  (a) 0.06  (b) h  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + -3)*3\/(-3). Let v(p) = 12*p**2 + p**3 - 10*p**2 + x + 11*p + 11*p**2 - 14. Let b be v(-12). Solve -4*j + w = 4, b = -j - 4*j + 4*w - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 23 + 13 = 4*p, 4*f = -2*p + 32. Let a = 34 + -30. Solve a*m = -12 - p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3250*q + 3255*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5445.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 4. Suppose -2*l + 98 - 88 = a. What is the second derivative of l*t + 24*t + 33*t**4 - t wrt t?\nAnswer: 396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**0\/f*f))**(-27)\/(f**(2\/3)\/f**(-2))*(f**(-3\/8)*(f\/(f*f**(-4\/7)))\/f)\/((f\/f**(1\/2))\/f)**(12\/5) assuming f is positive.\nAnswer: f**(-1907\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 239 minutes after 12:25 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3*q - 2. Let t be ((-4)\/6)\/2*-3. Suppose g = -2*p + 2, -2*p - 1211*g = -1206*g + 14. Let w(b) = 1. Give p*w(v) + t*f(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 388565984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -5. What is the first derivative of a*z**2 + 3 + 0 - 3*z**2 wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 less than -61528?\nAnswer: -61528.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {h: 1, f: 1, g: 3, k: 3, q: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + -146*2\/(-4). Let q = 185 + a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 7*i**2 - 15*i + 24. Let p be x(-9). Let b = 24 - 20. Let q = 0.3 - 8.3. What is the second smallest value in b, q, p, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2701 - 2*g + 5904*g**2 + 6*g + 17*g - 19*g wrt g?\nAnswer: 11808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205220961.\nAnswer: 3, 11, 31, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 36228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a**2 - 6*a + 7. Let o(m) = -9*m**2 + 26*m - 30. Let x(c) = -3*o(c) - 13*t(c). Let r(s) = -88*s**2 + 121. Give 2*r(j) + 242*x(j).\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -828, -618, -232, 330?\n\"Answer: 88*s**2 - 54*s - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1588, -3179, -4770, -6361?\n\"Answer: -1591*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1888341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {n: 2, w: 1, z: 4, i: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22054.1394311897 - 3.\nAnswer: -22057.1394311897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12c30a (base 13) in base 12?\nAnswer: 19b594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13464*-6.92\nAnswer: -93170.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -a + 2 - 1, 0 = 3*x + 2*a. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1)**(2\/27)*(k\/k**0)\/((k*k*k**4*k)\/k))**32 assuming k is positive.\nAnswer: k**(-4256\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(2) + -2 + 4 - (sqrt(288) + sqrt(288)*-1 - sqrt(288))*-5)**2.\nAnswer: -236*sqrt(2) + 6966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.47 - -0.4700128. What is p rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 500310156 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + o + 8 = 0, o = -3*f - 2*f + 12. Let g(r) = r**3 + 7*r + 8 - 5*r**f + 0*r**3 - 12. Let z be (-2)\/((0 - 2)\/4). What is g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(45) + sqrt(360)\/(sqrt(80)\/sqrt(10)))*-3)**2 - (4 + sqrt(500) + 0)*6.\nAnswer: -60*sqrt(5) + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 86 - 85. Solve -2*u + 3 + p = 2*c, -c = -5*u - 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27.5 - -27. What is the nearest to 2\/7 in -4, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(567) + (sqrt(343)*1 - sqrt(343))**2 + -1.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 31941 and 38331 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12269 - -351381. Let b = 363642.90031 - r. Let p = -7.1 - b. Round p to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 807.3294 days in milliseconds?\nAnswer: 69753260160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2732*l**2*t - 593219*l**2 + l*t**2 + 4*l wrt t.\nAnswer: -2732*l**2 + 2*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 102, 104, 106, 108, 110, 112?\n\"Answer: 2*j + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**2 - 48*u - 64. Calculate the lowest common multiple of z(-21) and 34.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (101*w + 15*w - 23*w + w + w - w + (7 - 2 - 3)*(-w - w + w))*(1 + 5 - 1).\nAnswer: 460*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 5*s + 32, 5*t - 2 = -22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2474 divided by 1.\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3342537265.\nAnswer: 5, 37, 1061, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (57*j**3 - 10*j**3 + 2*j - 2*j)*(j - 5*j + 2*j) to the form d*j + v*j**2 + n + g*j**4 + h*j**3 and give g.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -679 + 740 - (-1 + -1 - (-3 - 4))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 61, 406612 in ascending order.\nAnswer: -4, 61, 406612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*s = 4*s + 44. Let 2\/9*n**3 - 2\/9*n**2 + 0 + 2\/9*n**s - 2\/9*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -173*n + 2245. What is g(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.011073 and 0.06.\nAnswer: 0.048927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*j - 2*j - 302 + 48*j**2 + 380 wrt j?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -1342*i - 88560. What is d(-66)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8707 is divided by 2833?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220*a - 64*a + 2862 = -7646 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m + 0*m - m)*(4 - 1 - 10) to h*m + b and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f - 8. Let t be s(-6). Let u be (-3)\/(1\/(2\/t)). Suppose -u*p = -6 - 3. Which is the biggest value?  (a) -0.3  (b) p  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-25636)\/(-96135))\/(22\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 213aa7 (base 11) to base 5.\nAnswer: 41421223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 10:11 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -34 + (18 - (-14 - -33))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*z**2 + 1)*(1431*z**2 - 612*z**2 + 756*z**2 + 1650*z**2 - 238*z**2).\nAnswer: 5974*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159090 is divided by 6916?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*z**2 - z**3 - 17*z**2 + 8*z**2 as t*z**3 + k*z + d*z**2 + y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.3, -1.06, -83\/5, 0 in decreasing order.\nAnswer: 0, -0.3, -1.06, -2, -83\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 132103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (140\/45)\/((-92)\/(-414)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3815 divided by -4?\nAnswer: 3815\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 2 - (9 + 4 + -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24, -34, -56, -96, -160?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -4*u - 8 - 16, 20 = -4*u - 3*t. Let k(d) = d**3 + 3*d**2 + 3*d + 2. Let z be k(u). Solve -2*b = 2 - z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 0.25, -5046\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 295730 - 451530. Let w = -73907 - g. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2962.1361 to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 27816 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -25*p**2 + 3*p - 2. Let m be u(1). Let o(t) = t**3 + 26*t**2 + 19*t - 36. Let k be o(m). Calculate the highest common divisor of k and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -2\/11, -23?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -8382*-0.09\nAnswer: 754.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*p + 14 = -13, -2*q + 74 = 3*p. Solve -10*b - 7 = q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 174 and 290.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 2*g - 142. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 149 - 139. Solve -2*j - 2*j = -5*u - 45, -j + u + h = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - 1 - 3*r - 4*r**2 + 0*r + 0*r**2. Let o(z) = -6*z**2 - 5*z - 2. Give -3*o(v) + 5*p(v).\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1068*c**2 - 316*c**2 + 532*c**2)*(c - 3*c + 4*c) + (-3*c + c + 3*c)*(-c**2 - 2 + 2).\nAnswer: 2567*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s - 5*s + 3*s - 2*s**2 + 4*s**2 to x + y*s**2 + v*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 150494 and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-16)*-4*4)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 1:21 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 102 and 8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -72 - -75. Suppose -4*v - 2*p + 521 = p, p = -x*v + 387. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -0.00628599\nAnswer: 0.03142995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, q: 2, c: 1}. What is prob of sequence gc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*c**3 - 2*c*j - 173*j wrt c.\nAnswer: -24*c**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/114*114\/1520.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -14*q**2. Let i = -66 - -71. Suppose 7 + 4 = i*r - t, 5*r = 3*t + 13. Let s(g) = 363*g - 363*g - 2*g**r. Calculate x(s(d)).\nAnswer: -56*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -74668\/9 - -7467907\/900. Let t = s - 12\/25. Let o = -7788\/13 - -54464\/91. What is the second smallest value in o, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 7*m - 4*k - 60, -2*m - 3*k = -24. Let h = m - 9. Suppose 0*r = h*r. Let o(l) = l - 8. What is o(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 13*b - 32*b + 35*b. Solve -b*h - 5 = h + 4*c, -5*c = -4*h + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 434a5 (base 11) to base 2\nAnswer: 1111011010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 5*z + 9 = -37 + 19, 0 = 16*v + 2*z + 29 + 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - 3*m**2 - 3*m - 4. Let b be j(4). Suppose -k + b = c - 5, -4*c = 16. Let a = -7 + k. What is the remainder when 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o + 12. Let m be p(-7). Suppose -5*w = 9*s - 4*s - 15, -1 = w + 3*s. Let t be (-6 - -3) + 1\/(2\/6). Solve t = -m*z - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*k + 70 = -0*x, 4*x = -2*k + 250. Let v be (6\/(-4))\/((-48)\/x). Solve v*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169 = -h + 72. Let q = -224 + 235. What is the remainder when h is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -46*o + 184. Let p(i) = -100*i + 370. Determine -7*j(z) + 3*p(z).\nAnswer: 22*z - 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 3*a - 1980231 - 2169672, 0 = -5*q + 2*a + 6916505. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v**3 - 11*v**2 + 6*v + 8. Let c(w) = -w**3 + 4*w**2 - 2*w - 3. Calculate 4*a(n) + 11*c(n).\nAnswer: n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 124.7228 to one dp.\nAnswer: 124.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1027 + -1027. Is 13\/11 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 3*y + 18, 0 = 5*a + 172*y - 167*y - 20. Solve 0 = 3*t + 15, 16*j = 19*j + a*t + 37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -2. Suppose m*q = 9*q - 10. Solve -w + c + 7 = -2*c, q*w = -c - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/14  (b) 18  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*d + 27 + 543. Which is greater: d or 29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7777 or 60?\nAnswer: -7777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = -5, 6*k + 3469*o - 3466*o + 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 7\/60*m**5 + 0*m + 0 - 1\/24*m**4 + 14*m**2 + 56\/3*m**3. Differentiate f(p) with respect to p.\nAnswer: 14*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 110 - 2?\nAnswer: 10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.197254 + -1397.927254. Let m = f + 1411. Round m to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20007 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -5*p**2\/2 - 6. Let s(c) = 2*c. Determine l(s(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -3)\/(4 - 3). Is p smaller than -2\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 45 - 195 = 0. Let q be (5 - 54\/12)*c. Suppose 7 + 5 = 3*a. Solve -z + 3*j = 9 + 5, a*z + 4*j - q = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 24*w + 27*w = 24008, -35999 = -3*d + 2*w. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/12))**7)**19 assuming i is positive.\nAnswer: i**(133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 6*k**2 - 6*k + 2. Suppose 0 = -l - 3 - 2. Let i = l + 7. Let o = i - 7. Determine h(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 120 and 780?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/7 in 2\/3, 0.7, -3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -9*x**2 + 16*x - 11. Let b(m) = -5*m**2 + 8*m - 5. Let w(t) = 7*b(t) - 4*j(t). Let k be w(7). What is the third biggest value in 4, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 183006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + 4*x. Let h be a(-5). Suppose 5*b + h*p = 5, -p + 11 = 2*b + 4*p. Let u = b + 3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12795*l**4*v**2 - l**4 - 2*l**2*v**2 - 2*l**2*v + 2*l*v**2 + 685*v**2 wrt l?\nAnswer: -307080*l*v**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than 0.245805?\nAnswer: -0.254195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + -3 - (-121 - -100)) + -185 + 266.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*f - 449 - 22*f + 405 + 39*f.\nAnswer: 2*f - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 416 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 150552 and 408?\nAnswer: 150552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that a**5 + 61*a**4\/7 + 171*a**3\/7 + 163*a**2\/7 + 22*a\/7 - 24\/7 = 0.\nAnswer: -4, -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17753*g + 94220*g + 88631*g + 15232*g.\nAnswer: 215836*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -2.4. Let u(h) = 3*h - 25. Let q be u(11). Let z be 1*(-5 + 42\/q). Put 4, 0.3, z, l in descending order.\nAnswer: 4, l, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2\/3 + 188879630*w - 5351327194340535.\nAnswer: -5*(w - 56663889)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 AM and 9:13 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3783, 7441, 11089, 14727, 18355, 21973?\nAnswer: 25581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3140 divided by 5?\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 16422  (b) 3\/2  (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1181, 4734, 10659, 18962, 29649?\nAnswer: 42726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157*g - 19781 = -1569. Which is the smallest value?  (a) -1\/2  (b) g  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75769 is divided by 75735.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2166029817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(12\/(-200)) + -3. Let s = c - 15. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 11914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 388783559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 - 40. Let r(x) = -3*x - 9. Let q be r(z). Solve -2*n - n = -5*m - 5, -q*n - 19 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 p when three letters picked without replacement from pppzpzzppzppz?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aljw when four letters picked without replacement from lwwwazwlzjl.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 1. Let a(p) = 3*p**2 + 0*p**u + 0*p**2. Let q(z) = 7*z - 10. Let i(d) = -38*d + 55. Let g(h) = 2*i(h) + 11*q(h). Give g(a(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) 0.01  (b) 3  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -665 = -670*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/198 and 145\/1386?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396581 is divided by 2448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -953 divided by 43720.\nAnswer: -953\/43720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3*f = 4. Suppose 3*r + 2*r = 3*v, -5*r = 3*v. Let q = f + r. Which is greater: q or -1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xbe when three letters picked without replacement from {e: 2, x: 1, b: 1, i: 2, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.33?  (a) -1\/12  (b) 3  (c) 0.1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**4\/12 + o**3\/3 + o**2 + o. What are the prime factors of r(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-12))\/(6\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**4 - 2443*j**3\/2 - 33305*j**2\/2 - 49469*j\/2 + 85215\/2 = 0. Calculate j.\nAnswer: -23\/2, -3, 1, 1235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) -40  (c) 5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77618416 is divided by 155.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7766 divided by -263.\nAnswer: 7766\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**5\/60 - 17*r**4\/24 - 38*r**3\/3 - 30*r**2 + 2. Calculate g(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 215520805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3717 and -5?\nAnswer: 18585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13227.\nAnswer: 3, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29868.\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o - 8*o = 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {v: 1, n: 3, f: 3, s: 5, o: 1, z: 6}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 120 - 120.1475. Let n = y - -0.16. What is n rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 + 9*f + 11. Let j be u(-8). Suppose -3*o - 9 = j*d, -2*d + 3*o = -0*d - 19. Calculate the remainder when 32 is divided by 4 + (-2 - -3) + d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 5:20 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1765 - -12358\/7. Is r bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*d = -h - 26*d + 8, -h - 16 = 2*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/9944 and 27\/14464?\nAnswer: 159104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 6*v**2 - 11*v - 9. Let j be r(-4). Sort -1, j, 4.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2742 + -2734. What is the smallest common multiple of z and 74\/6 - (-8)\/12?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3871 and 40211?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1310 = 1310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -11832459 divided by 3944153?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*y**2 + 5\/3*y**3 + 0 + 60*y = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231525 (base 8) in base 7?\nAnswer: 445244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 2*b**2 + 3*b + 3. Let w be u(3). Suppose 4*n = w*n + 4. Let y(a) = -a**3 + 5*a**2 - 3*a + 1. Calculate y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (-6 - -2 - 13). Suppose -a - 1293 = -3*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007681 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 229800 - 3442561\/15. Let b = -871\/3 + i. Find the common denominator of b and -43\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 5*l - 5. Let a be o(-2). Let s be (6\/12*-5)\/(a\/6). Suppose 4*w + 10 - 410 = -2*t, -s*t = 3*w - 986. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9.9 + -9.7. Let k(i) = i**2 + 28*i + 23. Let a be k(-27). What is the closest to s in -3, a, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(19) - ((sqrt(133)*-2 + sqrt(133))\/sqrt(7) - sqrt(19))) + (-2*sqrt(152))\/sqrt(8)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a**2*g + 16*a**2*k - 2*a**2 - 1396*a*g*k - 5*a*k - g**2 + 5*k wrt g?\nAnswer: -2*a**2 - 1396*a*k - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(0 - -1) + (134 - 138).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -i - 3*i - 38, 4*p = -2*i + 76. Let r(k) = 2*k - 2. Let o be r(-2). Let t = p + o. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 16 - 144. Suppose v = -4*v + y. Suppose -3*d + 5 = -v. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(2\/5))**(2\/17)\/((j\/(j**(-1\/4)\/j*j))\/j**4)*(j\/(j\/(j*j\/(j*j**(1\/4)))))\/(j\/(j**6*j)*j)*j\/(j**(3\/5)\/j)*j\/(j*j*j**(-3\/5)*j) assuming j is positive.\nAnswer: j**(1457\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1612*d + 1577*d - 58 + 47.\nAnswer: -35*d - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from fbbbbbebbbbbbb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*a + 4*a + 1197 = 67*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*n - 0. Let p(d) = d**3 - 5*d**2. Suppose -4*t = -7*t + 15. Let i be p(t). Solve 2*s + 5*j + 26 = i, -s - 1 = -3*j - n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2245 and 85.\nAnswer: 38165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 5*n**2 + 39*n - 179. Give z(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 361959115\/1192 - 303657. Find the common denominator of m and 31\/447.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1199 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**4\/28 + 5*y**3 + 525*y**2\/2 + 19*y. Solve o(x) = 0 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 563, 2 in descending order.\nAnswer: 563, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 100202 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(((h\/(h\/h**(1\/3))*h)\/h)\/h)*h*h\/(h\/h**(-1\/27))*h)**36)**(-2\/143) assuming h is positive.\nAnswer: h**(-784\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-10)\/3)\/(16\/(-24)). Suppose l*z = -5*q + 175, -4*q - 2*z + 85 + 55 = 0. What is the remainder when q is divided by 25\/5 + -1 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(4 + sqrt(117)*-2))**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 1\/2, 4, -2\/29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 49592 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from {j: 6, i: 2, f: 7, t: 1, h: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 195 + -192. Suppose -c + 7*a - 3*a + 1207 = 0, -w*c + a + 3566 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 - 9*(-4)\/6. Suppose 16 = a*o + b - 3, -4*b = 5*o - 52. Solve 4*v + o = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2, -5, 3\/5, -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 26, 0, -0.4, -54, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -151 - -79. Let d be q\/65 + (-24)\/(-30). Is d less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 20*s - 46. What are the prime factors of t(6)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3884903.616 to the nearest 1000.\nAnswer: 3885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -249, -2020, -6827, -16188, -31621, -54644, -86775?\n\"Answer: -253*k**3 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3170*g**3 + 10*g**2 - 9*g - 931. Let s(c) = 1585*c**3 - 4*c**2 + 4*c + 465. Let b(l) = 2*q(l) + 5*s(l). Find the second derivative of b(n) wrt n.\nAnswer: 9510*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p - 8. Suppose 29 = -5*f + l, -l - 1 + 12 = -2*f. Let z be o(f). Is 4 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) - 2*sqrt(102)*1)\/(sqrt(30)\/sqrt(5)*-1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.045 * 86139.\nAnswer: -3876.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -32197, -128823, -289865, -515323?\n\"Answer: -32208*g**2 - 2*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f - 1. Suppose -4*o = -4 - 8. Let m(d) = 0 - 1 - 1 - o*d. Let r(k) = -k**2 - 4*k - 4. Let s be r(-4). Determine s*j(l) + 3*m(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1131441310 (base 5) to base 12.\nAnswer: a5998b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1110466 or -1110452?\nAnswer: -1110466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 4 and -3.13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 1502 - 1502 - 4*q. What is a(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*s - 55*s**3 - 3*s**4 + 2 + 2*s - 2*s**2 + s**4 + 52*s**3 to the form v*s**4 + o*s**3 + p + w*s + k*s**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 10*r**2 + 8*r - 1. Let o(i) = -10*i**2 + 1. Let l be o(1). What is the units digit of f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*2\/(-4) + (-40)\/(-80).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-16 + 2 + 1 - (-173 + 209))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(102) + 4*sqrt(102)*-1))\/((sqrt(60)\/sqrt(250) - sqrt(6))*6).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.5 + -4.49. Let k be (24\/(-63))\/(1\/(-183)). Let s = k - 70. Which is the closest to s?  (a) -0.1  (b) j  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -12, 144293, -5 in descending order.\nAnswer: 144293, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - (-2 - (-248)\/(-4)). Suppose 2*w - v = -w. 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: Which is the third biggest value?  (a) -46  (b) 4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 4:46 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 80 - 34. Suppose -5*s + u = -9. Let t be (2\/4)\/(2\/44). Calculate the highest common divisor of s and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of l**6\/75 + 13*l**5\/25 - 49*l**4\/10 + 244*l**3\/15 - 124*l**2\/5 - 13*l - 10. Solve q(z) = 0.\nAnswer: -31, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6185\/18537 - 2\/6179. Solve j - 1\/2*h**3 - 2\/3*h**2 + 1\/2*h + 1\/3*h**4 = 0 for h.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 + w - 5 + 2*w - 3 + 3 + (2*w - 2*w - w)*(-3 - 1 + 2) + 5*w - 5*w - w - 4*w - w + 6*w + 3*w - 3*w + 4*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*(-9)\/378*(-27)\/6.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*c + 9333 = -130*c - 529*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of 19*a**2\/2 + 43. What is h(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kyykykyyky. What is prob of sequence ykyy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w + 183 = -3*y + 30*w + 264, 0 = -3*y + 4*w + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u**3 + 368*u**2 + 17568*u + 64512 = 0 for u.\nAnswer: -96, -84, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**4 - 2*d**4 + 0*d**4)*(-507 + 276 + 303) - 2*d**4 - d**4 + d**4.\nAnswer: 70*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*r - 5. Suppose -5*j - a = -402, 2*a - 199 = -r*j + 200. Suppose 3*h = -9, 0*h = -3*g + h + j. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/1197 and -71\/665.\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1171, -4665, -10487, -18637, -29115, -41921?\n\"Answer: -1164*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 6*s**2 + 5. Let g(z) = -3*z**2 - 3. Let l be (12\/10)\/(2\/(-5)). What is l*x(j) - 5*g(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 114 - 109. Let p(r) = 5*r**2 - 9*r + 16. Let k be p(v). What is the highest common factor of 64 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2, 46, 94, 146, 202, 262, 326?\n\"Answer: 2*v**2 + 38*v - 38","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 f(q) = 15*q. Let l(n) = -10*n**2 - 6*n. Let w(c) = 22*c**2 + 13*c. Let m(v) = 13*l(v) + 6*w(v). What is m(f(s))?\nAnswer: 450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - b - 1. Let i(l) = 17*l**2 - 51*l - 51. Let f(d) = -2*i(d) + 102*t(d). Let w(y) = -15*y. What is f(w(g))?\nAnswer: 15300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -0*d - 5*j + 35, -4*d + 40 = -5*j. Find the common denominator of 79\/8 and 476\/21*(d\/(-58))\/5.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0769 - -0.0767354. What is q rounded to 6 decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3 = 3. Suppose 57 = d*o - 0*o. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.66 - 1.34. Let h = 0.03 - -0.07. Let i be (-2)\/(-4)*(-12)\/11. Which is the nearest to h?  (a) -0.2  (b) n  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1543 - -4050. Suppose 4*k + h - y = 1761, -4*h - 3201 = -3*k. Let j = k - 760. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**8\/784 - t**7\/245 + t**5\/70 + t**4\/56 - 6*t**2. Factor v(p).\nAnswer: -3*p*(p - 1)*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3976*s + 23854. What is k(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8190, -32746, -73724, -131166, -205114?\n\"Answer: -7*x**3 - 8169*x**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-5)\/(-6))*147\/1029?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10859 + -10859. Solve -3*g - 2*i = 19, m = 6*i - 4*i + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 - 3*j**2 - 7*j + 4. Let y(v) = v - 1. Let x(c) = b(c) + 5*y(c). Calculate the remainder when 40 is divided by x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 11. Suppose -3*a + d*b = -3*b - 390, -2*b = -3*a + 389. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 4*z**4 - 2*z)*(0*z - 4 + 2*z - z).\nAnswer: -4*z**5 + 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 301.645 weeks?\nAnswer: 182434896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1140265 and 21455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*j + 138*j = 42 + 86. Solve j*o = 2*v, -4*o - 6*v + 8 = -4*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 2, -12591, -5, 0 in ascending order.\nAnswer: -12591, -11, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4))**(-32) assuming w is positive.\nAnswer: w**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -c + 65, 2*n - 215 = -3*c + n. What is the greatest common divisor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 4*w**5 - 2040*w**4 + 29752*w**3 - 25104*w**2 - 314300*w - 257400 = 0.\nAnswer: -2, -1, 5, 13, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 1.6. Let p = -5 + 8. Suppose 5*f - 5*d = 10, f + 27 = -p*f - 3*d. What is the nearest to -0.5 in f, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 764?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1078 is divided by 611?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2356.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**3*s**5 - 16*c**3*s**2 + 17*c**3*s - 2*c**3 - 6*s**3 + 3 wrt s?\nAnswer: 40*c**3*s**3 - 32*c**3 - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 399\/9 + (-2)\/(-3). Let v = i + -23. Let o = -15 + v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22)\/15 + 4\/6. Let l be 22\/(-8) - (-9)\/12. Let b = -1 + l. What is the nearest to 0 in p, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 242*x + 7*x**2 + 488*x + 9*x**2 - x + 726 - 13*x**2 = 0. Calculate x.\nAnswer: -242, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*x**5 + 241*x**4 + 151*x**2?\nAnswer: 120*x**2 + 5784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7412, -7367, -7336, -7319?\nAnswer: -7316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 4*h + 100 = 0, 5*h + 228723 - 228825 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {c: 3, p: 2, x: 4, o: 2, s: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 225461 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 143786791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 8. Let i = 2 - h. What is the units digit of 32\/5 - i\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.52447674 rounded to three dps?\nAnswer: 1.524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8425, 16853, 25281, 33709?\n\"Answer: 8428*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -168971*a**2 + 1394*a + 9?\nAnswer: -337942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + -1 + 0 + 1. Let f = -5 - -2. Let x be 8*3\/6 + f. What is the highest common factor of x and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1600 (base 10) to base 8.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.862349ml in litres?\nAnswer: 0.000862349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*q**2 + 1 - 463*q + 857*q - 430*q.\nAnswer: -67*q**2 - 36*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-4*((sqrt(3) - (sqrt(3) - (sqrt(18) - sqrt(54)\/sqrt(3))\/sqrt(6))) + -5 + (-2*sqrt(4752))\/sqrt(11))**2.\nAnswer: -35060 - 4800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 6*o**2 - 5*o - 1. Let a be q(4). Suppose 0 = 4*v - 5 - a. What are the prime factors of (v\/8)\/((-2)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2 - 46*a + 1. Let v be h(23). Let z be 102\/(-30) - (-3)\/v. What is the nearest to z in -3, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2. Let q(b) = -5*b + 13. Let w be q(3). Let v be (-45)\/(-20) + 2*w\/16. Determine h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20631966.\nAnswer: 2, 3, 23, 47, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-15)\/(y\/(y*y\/y**(3\/19)*y*y*y)) assuming y is positive.\nAnswer: y**(-212\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 86 + 4?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1340*c - 4019*c + 1340*c + 1342*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 255 - -5?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + -21. Let y(v) = -v**3 - 20*v**2 - 6*v - 64. Let g be y(-20). Calculate the greatest common factor of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b. Let t(g) be the second derivative of 0*g**2 + 4\/3*g**3 + 0 + 27*g. Give t(v(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -9. Let x = 11.2 + -12. Let i = -0.6 - x. Sort 1\/2, n, i in decreasing order.\nAnswer: 1\/2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*2\/(-11 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 - 10 = 5*f. Suppose 0 = 3*t + f - 30. Solve 0 = -t*n + 4*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 - -1122202?\nAnswer: 1122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19847*m**3 + 100663*m**3 + 83069*m**3.\nAnswer: 163885*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {f: 17, b: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(245) - (sqrt(245) - 4*(1 + sqrt(245))).\nAnswer: 4 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353355?\nAnswer: 3, 5, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54.3 + -54. Sort 0.2, 4\/5, b, 2.\nAnswer: 0.2, b, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -1. Let b(u) = 3*u - 1. Let f(z) = b(z) - 6*o(z). Let x be f(5). Calculate the highest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(-2) + -6 + 5. Let x be 0*(-3)\/6*s. What is the units digit of 6 + x - 2\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000569496 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f - 1. Let m(c) = -10*c - 4. Give m(w) - 5*p(w).\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23.4 - 1.6. Let m = -18.2 - 6.7. Let r = c - m. Is 0.1 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (194 + 1)\/(11\/11). Let q = n + -138. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*t + o + 30, 56 = 4*t - 2*o. Let i be 3*(t\/(-4))\/(-3). Suppose -16 = -i*g - g. Solve 5*z = g*c + 13, 0*c = -2*z - 3*c + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 144800451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*f + 2*g, 3*f - g - 3 = -1. Let b be (12\/5)\/(f\/(-5)). Suppose -b = n - 3*n. Solve -n = 4*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 51, 111, 183, 267, 363, 471, 591?\n\"Answer: 6*d**2 + 42*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*f = 100. Let g = 40 + -36. Suppose -g*d + f = -206. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 12:22 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 122*n + 14 = -127*n, 6 = -3*v - 3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 55, 150, 289?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121 - 10330202213?\nAnswer: -10330202032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/2  (b) -0.1  (c) 1  (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48673 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/12?  (a) 725  (b) 2\/33  (c) 2\/13  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7163373 and 1288.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 428+0\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -192 * -0.1.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/10)\/((-12)\/60). What is the highest common factor of x and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -104 + 104 + 21*l**3 + 79*l**4 - 77*l**4 - 87*l**3 + 180*l**2.\nAnswer: 2*l**2*(l - 30)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10472357.465 to the nearest one thousand.\nAnswer: 10472000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27174 is divided by 120.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**3 + 29*b**2 - 6*b + 6. Let g(q) = -2*q**3 + 28*q**2 - 7*q + 7. Determine 7*d(z) - 6*g(z).\nAnswer: -2*z**3 + 35*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxjxxxxkpxjxhxxjxfxk. Give prob of sequence jp.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65366900 is divided by 2842039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**4 + l**4 - 4*l**4)*(-5*l + 3*l + 0*l)*(-3 - 1 - 3).\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*i + 57*i - 350*i - 320 = -125*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001671975483 rounded to 7 decimal places?\nAnswer: -0.0001672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 249 + -242 + (1 - 18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -5, 8, 3, 15.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-90) - (-322)\/(-840)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1921867\/56 or 34318?\nAnswer: 34318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 5*q. Let v(f) = 14*f + 1. Suppose -46 = 7*o + 220. Let w = o - -42. Suppose 37 = -4*m + 5*i, m + 3*i + 1 = -w. What is m*p(s) + 3*v(s)?\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42.51 - 1.99. Let s = -73 - d. Let b = -36 - s. Round b to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 6025*x + 469921. What is b(-78)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vivmljjk. Give prob of sequence ml.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - 3*b - 5. Suppose -6*a = -4*a - 8. Let z be f(a). Let q(g) = 15*g**2 + 2*g + 2. What is the smallest common multiple of q(z) and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 - (64 + (-24 - 20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i - 2. Let d be k(4). Is (-831)\/(-18) + d\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 152574647 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 624 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 + -32. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (18\/50)\/(33\/(-55)). Which is the closest to 0.1?  (a) t  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-6) - 1)*(11 - 12). Factor 0*p - 2\/3*p**2 + 0 - w*p**3.\nAnswer: -p**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -7, 0.4, -0.3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 129, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 3*q - 2*q**5 + 3*q + 2*q**5 - 4*q**5 - 4*q**5 + (-2*q**4 + 0*q**4 + 0*q**4)*(-1 + 1 + q).\nAnswer: -10*q**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(1\/9)*d)**26 assuming d is positive.\nAnswer: d**(494\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 110670 and 227562.\nAnswer: 246904770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 0*j - 3*j)*(6544*j - 13095*j + 1232 + 6553*j).\nAnswer: -2*j**2 - 1232*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 79*n**3 - 1227*n**2 + 5*n - 860829?\nAnswer: 474*n - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 848 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 8*a**2 + 25*a - 22. Let m be q(-12). Let n be 192\/(-36)*m\/(-8). Which is smaller: n or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 47 = -19. What is the smallest common multiple of 20 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 + 4*w - 6. Let g(b) = -3*b**2 - 3*b + 8. Let m(s) = 3*g(s) + 4*p(s). Suppose 9 - 37 = -4*n. What is m(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 797 - 797.00000852. What is v rounded to seven dps?\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 + 6*p - 9. Let i be u(6). Suppose 0*a = 2*a - 40. Let q = i + a. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) -3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 112 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 2*a - 68, 4*a - 5*l - 141 = -10. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 5*o - 72. Suppose 0*k + o = 4*k. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 1 - 5, 4*p - 4*y + 56 = 0. Let t = -14 - p. Solve -d + 0 = t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**3 - 16*b**2 + 6*b - 9. Let q be h(8). Let i = 48 - q. Calculate the remainder when 59 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 55.2 + -354.2. Let m = 295 + l. What is the closest to 1\/2 in -27\/4, -1\/7, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2. Let c(z) = -136*z + 2. Let l(g) = -135*g + 4. Let w(a) = 4*c(a) - 3*l(a). Calculate i(w(p)).\nAnswer: 19321*p**2 + 1112*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 52525929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z + 73 = 109. What is the remainder when 51 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 6670\/70 + (-91)\/(5733\/18)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1080027 divided by -153.\nAnswer: -7059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61097 is divided by 6939.\nAnswer: 5585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v + 4933 = -101*v + 6713 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 PM and 5:07 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j*n - 2*j*p + 21*j - 3*n*p - 2*n + 62*p wrt p.\nAnswer: -2*j - 3*n + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.5978 times 5?\nAnswer: 32.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 41. Suppose -5*a + 2*g = -50 - 4, a - 4*g - k = 0. Suppose -5*p - 100 = -a*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3943632277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14294.7971 rounded to the nearest 100?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 8*c**2 + 8*c + 9. Let j be x(-7). Suppose 0*y = -j*y + 14. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2679565 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 123222 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10685*a - 10644*a + 21288*a - 1 + 6.\nAnswer: -41*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 242352, 484721, 727094, 969471, 1211852, 1454237, 1696626?\nAnswer: 1939019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 2*q - 8, -5*i - 7 = -q - 18. Suppose 0 = -i*k, 0 = z + k - 4. Suppose z*a - 47 = 1. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419095 divided by -5305?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7445657*a**2*y**3 + 6895869*y**3 wrt a?\nAnswer: 14891314*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.2, -3\/8, 3, 2 in ascending order.\nAnswer: -3\/8, -0.2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 - -38. Suppose 3*m = 2*g - 5 + x, -3*m - g = -10. Solve a = -m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -14*o. Calculate the remainder when n(-2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5725 or 5726?\nAnswer: 5725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 10 - -16 - 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -918 - -642. Let g = -273 - n. What is the closest to -1 in 2\/7, g, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 2*n - 4*n - 64 = 0, 3*m - 14*n - 440 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 5*l**2 + 2*l - 27. Suppose -27 - 15 = 6*j. What are the prime factors of d(j)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286426 is divided by 2894.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -10418, -41684, -93758, -166604, -260186, -374468, -509414?\n\"Answer: 6*o**3 - 10440*o**2 + 12*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/594 and -119\/286?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2056?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406071?\nAnswer: 3, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11 and 28?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1061 (base 7) in base 2?\nAnswer: 110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2*x + 2.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11358 - 117?\nAnswer: 11241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2*o + 2)*(-2 + 1 - 2)*(-21243*o**3 + 47034*o**3 - 21399*o**3) as y*o**3 + s*o + a*o**2 + r*o**4 + m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2, -0.02, 0.3, 3\/2, -0.11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -98, -195, -286, -371?\n\"Answer: 3*j**2 - 106*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -995\/34 - 4\/17. What is the common denominator of -7\/10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 0*h + 204 = -4*h, -4*h - 588 = 3*v. Let w = v + 1232. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.35011 rounded to 2 dps?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/2)\/(18\/144).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 6:06 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/5*n**2 - 2\/5*n**3 + 2*n - 12\/5.\nAnswer: -2*(n - 3)*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -256, -516, -776, -1036, -1296?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/3 + 7586*t**2\/3 + 15166*t\/3 + 7582\/3.\nAnswer: 2*(t + 1)**2*(t + 3791)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 16 + 4. Let t be (q\/(-8) - -2)*10. Differentiate -3*w + t*w - 8 + 13 + 9 wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zx when two letters picked without replacement from zxzczzzxxzxzzxzcxzz?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -14035350 divided by 93569?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -11*v - 1. Suppose 36 = 10*s + 26. What is n(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -198925316, -198925315, -198925314?\nAnswer: -198925313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 57, 92, 121, 138, 137?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/33 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6037 = -a - 4*v, -30*v + 32*v - 30239 = -5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8788?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-11)\/q))\/q)**33*q**(28\/9)\/q**(3\/17) assuming q is positive.\nAnswer: q**(61037\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1778637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -562*j**5\/21 + 72494*j**4\/21 - 232496*j**3\/7 - 3684944*j**2\/21 - 4005152*j\/21 - 9440\/7 = 0. Calculate j.\nAnswer: -2, -2\/281, 15, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 91106, 92512, 93918?\n\"Answer: 1406*h + 89700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z + 6*z + 3*z + 1 + 2*z - 1 - 5 - 4*z + 5 - 4*z + 5*z + 0*z + (0 - 2 + 1)*(2*z - 1 + 1) to the form l + x*z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 439*l - 424*l + 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q**(-2\/19)\/q))\/q**(-2\/17)*q**(2\/11)\/(q*q\/(q\/((q**5\/q)\/q))*q))**(-42) assuming q is positive.\nAnswer: q**(238056\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 5*o + 127, -2*p - 16 = -3*o + 53. Let n = p + 35. Suppose n*y + 85 = 7*y. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 194194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3243, 2304, 7851, 13398, 18945, 24492?\nAnswer: 30039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*u - 41 = 0, -3*u - 9 = -4*t + 4. Suppose 4*x = -f - t, -4*f - 4*x - 17 = -5*f. Let l be (f\/25)\/((-4)\/5). Is l > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 + 6*f - 5. Suppose -3*c + 18 = -c. What is the least common multiple of c and k(-8)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2809897410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/7)\/((45\/150)\/((-112)\/40)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-14)\/(-49) + 6\/(-21). Let x(i) = -i. Let j(h) = 3*h. Let m(t) = 5*j(t) + 10*x(t). Let o be m(z). Solve o = -5*c + 3*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 43421 - -411433?\nAnswer: 1010404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -1, 3, 576.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4*(-9)\/(-12) + 0. Is ((-2)\/w - -1)\/((-1)\/(-501)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + 1 + -3 - 1. Suppose -5*q - 64 = -3*z, p*z = -4*z + 3*q + 78. Let h be z\/(-27) - (-2)\/6. Which is the nearest to h?  (a) 0  (b) 2\/5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2641 is divided by 126?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/(-5))\/(2 + -4). Let l be (-12)\/36*(g + 75). What is the tens digit of (-13)\/(0 + 5\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -211002 (base 4) to base 14\nAnswer: -c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 97, 1, 8 in descending order.\nAnswer: 97, 8, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2420 and 726.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 1:57 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifty-one fifths of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1883562?\nAnswer: 2, 3, 23, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1974\/19 < -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5306, 21453, 48372, 86087, 134622, 194001, 264248, 345387?\n\"Answer: 4*g**3 + 5362*g**2 + 33*g - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27929622?\nAnswer: 2, 3, 7, 53, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 5*k - 50, -5*o = -5*k - o + 10. Suppose -4*y - 5*r = -148, -31 = -y + 5*r + k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -372*p = 5*i - 375*p + 18, 2*p - 2 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/2 - 14\/14. Let i(q) be the second derivative of -q**5\/5 + q. Let p be i(k). Solve 4*t - 4*a - 36 = 0, -4*t - a - 3*a = -p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3 = j, -7*j + 7 = m - 2*j. Let w(r) = -6*r**2 + 2*r**2 + 2*r**3 + 5 - m*r**2 + 4*r. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 10 = -2*h, 3*h = 36*i - 43*i - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**3\/3 + 12877*t**2\/3 - 973462*t\/3 + 483512\/3 = 0.\nAnswer: 1\/2, 76, 6362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 70, 111, 158, 211, 270, 335?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7.15 - 7. Let l = y + 0.85. Which is the closest to l?  (a) 4  (b) 3  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 413166, 413167, 413168, 413169, 413170, 413171?\nAnswer: 413172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295569596?\nAnswer: 2, 7, 23, 458959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -277, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 50*g + 1. Let z(p) be the third derivative of -p**4\/12 - 33*p**2 - 6. Determine z(i(b)).\nAnswer: -100*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of -k**4\/24 + 2*k**3\/3 - 20*k**2. Let t be v(6). Which is the nearest to 1?  (a) -7  (b) -0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 + (-2)\/1 - -155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, x: 4, q: 4, g: 7, f: 1, r: 2}. Give prob of picking 1 r, 1 q, and 2 x.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 - 5*f. Suppose 3*l + w + 12 = -2*w, -2*l - 4*w - 18 = 0. Let t(c) = c. Calculate l*b(i) + 5*t(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 441700 rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13602746 + 13602746 + 16*z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 86435383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -93*c - 6. Suppose 173*r - 1 + 6 = 5. Calculate z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-9\/4)*h**25)\/(h**(3\/34)*h**31) assuming h is positive.\nAnswer: h**(-567\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 0*r - 4*o = 0, 4*r + 5*o - 13 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39581 is divided by 1646.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -74 + 70. Which is the second biggest value?  (a) -0.3  (b) x  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(l - 2*l + 0*l) + 5 - 12 - 27 + 4*l.\nAnswer: 5*l - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*(-1 + 2)\/(-2). Suppose -2*u - z + 3 = 0, -2*u - 2*u - 5*z = -21. Let m = i - u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.8484 hours in nanoseconds?\nAnswer: 78654240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2373 - -3423. Is -3 + (i - (-36)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1109.98 - -1110. What is the second smallest value in -3, -1\/2, d, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 3*v**2 + 2*v + 10. Let k be n(-4). Suppose -10*i + 40 = -k*i. Which is the closest to 3\/4?  (a) i  (b) 12  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-318)\/106*(3\/(-5))\/(-3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**3 - 3*t**2 + 16*t + 4. Give u(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-15)\/(-4) + ((-44)\/16)\/(-11). Solve 0 = k*b - 5*b - u - 4, 5*b + 13 = 2*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/4*136\/(-10). Suppose -4*r - u = -2*r. Let w = r - -42. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 AM and 8:01 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add 57 and 4987875.\nAnswer: 4987932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8172 is divided by 389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 9 = -4*m + 3, -q + 3*m = -4. Let u = q + 8. Suppose -8 = -5*n + u. Solve -n = -2*w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-66 - -53) + 8 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -100100?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03482 in -2, 8\/5, -1, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10472 and 115888388?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/191681 and 35\/54766.\nAnswer: 383362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p. Let u be n(-1). Suppose u*r + r = -9. Let f(q) = 5*q - 4. Let a(d) = 14*d - 11. Let k(i) = -4*a(i) + 11*f(i). Determine k(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00097134964 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - -9. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b58 (base 13) to base 9.\nAnswer: 5587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 104\/(3*(-4)\/(-18)). Suppose q = 3*c + 4*g - 267, -c + 148 = -g. List the prime factors of c.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2631475*s**5 + 43134572*s?\nAnswer: 52629500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -4*p. Suppose -4*y - 10*k + 8 = -14*k, -5*y + 2*k = -16. Let x(b) = -13*b**2 + 7*b**2 - y*b**2 + 6*b**2. Calculate x(n(f)).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**5 + 3*s**5 + 2*s**5 - s**2 + ((-1 - s + 1)*(-12*s**2 - 7*s**2 - 6*s**2) + s - 2*s**3 - s)*(-1 + 1 + 2*s**2).\nAnswer: 47*s**5 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + 10*a**2 - 6*a. Let f be w(6). Suppose 2*j + 52 = s + s, -4*s = -3*j - f. Suppose -2*d = d - s. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2 + 4)*(37 - 37 - 5*i)*(0 + 17 - 4)*(-1 + 0 + 0) as g + u*i and give u.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (17 + -2) - -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 7) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2018670, 8074641, 18167932, 32298549, 50466498, 72671785, 98914416?\n\"Answer: r**3 + 2018654*r**2 + 2*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l + 11. Determine b(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**2*u**2 - 1998*l**2 - 11030*u**3 - 2*u**2 - 2 wrt u.\nAnswer: 2*l**2*u - 33090*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 663 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -4*f - 5. Let h be n(-2). Let u(w) = 5*w**2 - 10*w**2 + h*w**2. Let x(m) be the first derivative of -9*m**2\/2 - 18. Calculate u(x(g)).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 100 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 16\/13  (b) -3  (c) -122710\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20383380 divided by 4?\nAnswer: -5095845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 11 = -3*s - 0*b, -5*b = -s - 23. Let k(q) = -q**2 - 3*q + 0*q - 7 - s*q. Calculate k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2582 - -2676. Let l(q) = q**3 - 9*q**2 + 7*q + 10. What is the smallest common multiple of v and l(8)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 + 36.4. Which is the nearest to 0.1?  (a) 0  (b) z  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69636 is divided by 5339.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3*p - 15 = 0, -3*p - 11 - 9 = 2*m. Let q be m\/(56\/10)*2\/5. Let n be 1\/(2\/(-2)) - 2. What is the biggest value in n, 4\/5, q?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/3 + 2 - -97. Let o = -17 + n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(-2*v + 0*v + 0*v)*(-3*v**4 + 0*v**3 + 0*v**3) - v**5 + v**5 + 2*v**5.\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 552 and 207.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2147240424 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -1525*j. Let t(i) be the third derivative of i**5\/30 + i**2 - 12. What is t(b(l))?\nAnswer: 4651250*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 100 = k. Let p = k - -33. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 - 14*n - 68. Let w be z(17). Is (-161 - w)*29\/(-3) + 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24\/18 + 2\/(-6). What is the greatest common factor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oot. What is prob of picking 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2 + 6*q + 3. What is l(-4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 381\/60 - (-10)\/40 and -23\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6280*j**3 + 2120*j**3 + 2014*j**3 + 2108*j**3.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h**7)**(5\/3)*(h\/h**1*h)**26*h**(1\/2)*(h\/h**(2\/9))\/h assuming h is positive.\nAnswer: h**(1381\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -5. Let j = 0.0129 - 14.9729. Let r = -0.96 - j. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from crcccccrrccccccc?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175, 321, 457, 577, 675, 745?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5874\/7 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -290.6 - -281. Let f = -10.6 - c. What is the closest to f in -5, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 410 and 287122426?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((3\/(-9)*4)\/(40\/(-708)))\/(858\/(-4290))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -28*o**5 - 183800*o**4 + 3999956*o**3 - 28520864*o**2 + 63808304*o + 20653696 = 0. Calculate o.\nAnswer: -6586, -2\/7, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 82\/5863*(-106 - 115)?\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -99*w**3 + 1295*w**2 + 29*w**3 - 1294*w**2 + 647 wrt w.\nAnswer: -210*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2176\/(-153) - (-2 - (-7 + -1 + 20))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-22)\/((i\/(i*i\/(i**(1\/13)\/i)))\/i))**(6\/11) assuming i is positive.\nAnswer: i**(-1488\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + 4*r + 0*r)*(-5*r**4 + 3*r**4 + r**4) + 625*r**4 + 1630*r**5 - 625*r**4.\nAnswer: 1629*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5879988 and 1959996.\nAnswer: 5879988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32*i**3\/5 - 203906*i**2\/5 - 324831816*i\/5 - 20301192\/5.\nAnswer: -2*(i + 3186)**2*(16*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-35)\/20)\/(6160\/(-320))*8\/4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 39751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -74, -149, -222, -293, -362, -429?\n\"Answer: n**2 - 78*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 PM and 5:29 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/1)\/(10\/20))\/((-4)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 414 and -0.3?\nAnswer: 414.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {n: 1, p: 1, z: 2, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*p - 5*f - 37, -3*f - 17 = 2*p + 2*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13371*p - 52 = -13384*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 728*v + 9313. Calculate f(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -7. Solve -w = -t - 2*g - 2*g, 0 = 5*t - 5*g + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-38)\/24 + (-20)\/(-24))*-2. Suppose q - 3*p = 0, -5*q + 2*p = 19 + 33. Let w = q + 12. What is the nearest to w in 1\/2, f, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168873619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7b3955 - -1?\nAnswer: -7b3954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10064 + 0?\nAnswer: 10064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -4, 1\/3, -5, -2\/15, -386, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 3. Let l be (-2)\/(n*2\/(-145)). Let d = -115 + l. What is d rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1851 = 6*z + 1947 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/y**(2\/7))*y*y)\/y*y\/y**(-4)*(y*y*(y*y\/(y**0\/y))\/y)**(-18))**(-1) assuming y is positive.\nAnswer: y**(460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -406 = 6*k + 74. Let o = k - -192. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2271 and 52568351?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20653963.\nAnswer: 11, 17, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4b13e (base 15) to base 6.\nAnswer: 5050405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(12\/(-44)) - 2. Let d(y) = 2*y**3 + 6*y**2 - 1. Let x(b) = -4*b**3 - 13*b**2 + 2. Calculate h*d(l) - 6*x(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l - 23. Suppose k + 124 = 3*h, -3*h + 4*h - 4*k - 45 = 0. Let a = h - 29. What is the units digit of f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37228\/3 + 12406. Which is the third biggest value?  (a) n  (b) -2  (c) -1  (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 836.011575 - 836. Round z to 4 decimal places.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbwbbnnbbwbb. Give prob of picking 3 b.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of 7*o**3\/3 + 4*o**2 + 16*o\/7 - 12. Factor h(q).\nAnswer: (7*q + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(4\/(-3)) - -114. Let h = a - 50. Let k = -30 + h. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.4 + 0.8. Let p = f - -1.600085. What is p rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.64 + 5.04. What is the nearest to 10 in 0.5, y, 0.2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - z = 12. Calculate the remainder when z is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 136065049*m + 117699304 wrt m?\nAnswer: 136065049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 32*z + 105. Calculate q(32).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*y - 17 = -85. Suppose 5*f = -5*m + 50, -7*m + 5*f = -3*m - 22. Suppose m = 3*d + d. Solve 4*u = -y*w - 4, -u + 2 + 6 = -d*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3826 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*s - 34297 = -4*y - 34625, 0 = 5*s - y - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -95 - -104 - (-42 + 25).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 5*k + 18. Let v be u(-4). Sort v, 2, -3 in decreasing order.\nAnswer: 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 3*b - b)*(4*b**2 + 81394*b**4 - 4*b**2 + 36 - 36 + 79964*b**4).\nAnswer: 161358*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 99705\/(-35) + (-4)\/14. Let r = u + 59800\/21. Let x = -13945 + 418409\/30. What is the common denominator of x and r?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.098972934 + 4.901027766. Let j = 5 - x. What is j rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 220 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j + 18*j + 3*j)*(-4 - 3 - 6) - 4*j - 3*j + j.\nAnswer: -214*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 13*l + 23. What is the tens digit of p(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t - 256 = 8*u - 4*t, -37 = -14975*u + 14976*u - 3*t for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5*a + 14 = 0, -w + 5*a - 42 = -34. Put -1, -2\/19, w, -18 in descending order.\nAnswer: -2\/19, -1, w, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h + 77 - 320 = 0. Let n be (-655)\/(-105) - 45\/h. Factor n*u**2 - 34\/7*u + 2*u**3 - 12\/7.\nAnswer: 2*(u - 1)*(u + 3)*(7*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -16*p**3 - 11*p**2 - 5*p - 11. Let t(k) be the first derivative of 2*k + 3\/4*k**4 + 2\/3*k**3 + 1\/2*k**2 + 1. What is 2*n(z) + 11*t(z)?\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(14*i + 208 - 417 + 206).\nAnswer: 28*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (4 - (-69)\/(-18))\/(3915\/954) and -13\/21?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 4807431218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(36)\/(sqrt(6) - sqrt(96)))\/(sqrt(24)\/(sqrt(12)*-1)).\nAnswer: -1 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -24*m - 280. Let i(r) = r**2. Give i(l(n)).\nAnswer: 576*n**2 + 13440*n + 78400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -856*l**2. Let d(q) = 8*q**2. Calculate d(z(s)).\nAnswer: 5861888*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8943.271nm to micrometers.\nAnswer: 8.943271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -6. Let x be (-1 - 0)\/(g\/11). Let v = x - -86. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 3 + (8 - 6) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -31*1*(-2632)\/(-2632)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-28))\/(20\/(-14)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 2, c: 1, n: 1, q: 1, j: 2, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 PM and 12:26 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**2 + 2*g. Let b(f) be the first derivative of f**4\/4 - f**3 - 3*f**2\/2 - 13. What is -2*b(a) - 3*k(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + (5*-39)\/3. Let i = x - -107. What is the tens digit of i\/(-6 + 4)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -6*q - 69. Let z be i(-12). Solve 5*m + 3*d + 17 = 5*d, z*m + 27 = -3*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 52445442.\nAnswer: -15733632.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 4*i + 4*z = 131, 719*i = 724*i - 55*z + 1895 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -3020312?\nAnswer: -3020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-625)*-5*(-5)\/(-3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 5:21 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 11:24 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 373*y + 65 + 201 - 185*y - 35 - 189*y in the form z + r*y and give z.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 235\/93 < 6672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6931951 is divided by 578.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -4*v**2 - 3*v - 3. Let t(u) = -9*u**2 - 7*u - 7. Let g = 35 + -41. Determine g*t(f) + 14*d(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -q - 11, -5*q + 4*q + 9 = -5*t. Let o = 0.121 + 121.879. Let h = o - 119. Which is the closest to t?  (a) h  (b) -0.1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, l: 2, o: 1}. What is prob of sequence bobl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -2*r**3 - 665216*r**2 - 55275438120*r + 6420905090208 = 0.\nAnswer: -166362, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 126 and 217.\nAnswer: 27342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2585\/1741 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - (-2 - 0) - -4) + 943 + -927?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.142, 2, -1\/2, -2\/7.\nAnswer: -5, -1\/2, -2\/7, -0.142, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7\/2  (b) 4  (c) -0.4  (d) -20  (e) -190\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 + 61. Find the third derivative of 942 + y*s**6 - 942 + 6*s**2 wrt s.\nAnswer: 1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -44, -37, -26, -11, 8, 31, 58?\n\"Answer: 2*o**2 + o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 173\/58 - -178127\/522. Do 345 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b507 + -2403?\nAnswer: 9104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 61596343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 215 - 107. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-4) + 637\/26. What is the second derivative of -47*g**3 - 46*g**3 + 165*g + z*g**3 - 20*g wrt g?\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (16\/10)\/((-60)\/(-9750)). Let v = x - 255. What is the second smallest value in -0.02, v, -0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22956482?\nAnswer: 2, 89, 128969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -1\/25  (c) -1514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {f: 3, n: 2, r: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 21 = -9. Suppose 0*v + q*v + 12 = 0. Let d(z) = z**3 + 4*z**2 + 2*z - 1. What is d(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/sqrt(108)*-4)**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3056 and 20.\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -11*r**2. Let n(a) = 3797*a - 1901*a - 2 - 1899*a + 2. What is b(n(q))?\nAnswer: -99*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78015 is divided by 15603.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3880*z + 7. Let l be s(9). Let m = l + -88927. What is m rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -397*y**6\/6 + y**5\/5 - y**3 - 2117*y**2\/2 - 2559. Find the second derivative of p(a) wrt a.\nAnswer: -7940*a**3 + 12*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 16*g. Let t(h) = 10*h + 8*h + 8*h - 22*h. What is t(v(q))?\nAnswer: 64*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/8556 and 22\/303.\nAnswer: 864156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 9*h**2 + 9*h - 6. Let u(g) = g**3 - 5*g**2 + 6*g - 10. Let z be u(3). Calculate p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30 + 44. Suppose 0 = 5*x - 2*x. Suppose -3*c = -x*i - 2*i - h, 2*c + 4*i = 4. Calculate the remainder when 7 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of 283*a**2\/2 + 94*a - 168. Differentiate v(j) wrt j.\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -376\/185 + 90\/37. Which is the second biggest value?  (a) -2\/949  (b) -1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -1133?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*p - 67180 = -0*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + (1 - (-1 + 0\/(-4))). What is the third derivative of 37*d**3 + 7*d**5 - 37*d**l + 14*d**2 wrt d?\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3144 + 3485. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 12*z - 3*z**2 - 8 - 15*z - 1 + 5*z**3 - 6*z**3. Let m be c(-3). Solve -6*x + 2*x - 12 = m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*u + 108*u + 256878 = 44*u. List the prime factors of u.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 132, 168, 100, -72?\n\"Answer: -52*c**2 + 192*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25 and 159245.\nAnswer: 796225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4454657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -59111, 7\/4, -5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -9*j - 4. Let a be r(2). Suppose 0 = 81*y - 22*y + 1298. Is a greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 158 - 134. Suppose 8*t - a = 16*t. What is the least common multiple of 416\/10 + t\/((-75)\/10) and 22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 4:41 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.33 + 0.17. Let g = -0.2 - -0.3. What is the second biggest value in g, k, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 696 = 2*l - 3*v, -5*v - 338 = -l. Suppose 3*b + 88 = -d + l, -3*d + 823 = -4*b. What is d rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*t**2 - 2*t**2 - t**2)*(10*t - 28*t - 21*t)*(3 + 10 - 1) in the form b*t + a*t**2 + v*t**3 + p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 + 2*b + 10. Let q(s) = -54 - 52 + 118. Let r(m) = 7. Let v(z) = -4*q(z) + 7*r(z). Calculate -l(i) + 10*v(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (3 - 0) - (-20 - (20 + -51) - 18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -32 - 5402136?\nAnswer: -5402201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*l**3 + 414*l + 11391 wrt l?\nAnswer: 15*l**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5760 divided by 18.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 494203282 or 494203283?\nAnswer: 494203282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-3)*(-6)\/(-135))\/2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - -27. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(96))\/sqrt(4) + (sqrt(864) - 2*sqrt(864) - sqrt(864)))\/((-1*sqrt(288) - sqrt(8) - sqrt(8)) + -3*sqrt(56)\/sqrt(7)).\nAnswer: 15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 4*x + 34 = 253, 4*k = -2*x + 174. What is the remainder when (-942)\/(-2) + (-3 + 8)\/(-5) is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4292 and 6493.\nAnswer: 27867956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -423080 rounded to the nearest one thousand?\nAnswer: -423000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 6 = -4*b. Let m be 22*2*b\/(-12). Suppose 4*w = z - 179, 2*z + m = -2*w + 329. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 - -26. Suppose -1 + 8 = -b + 3*d, -5*b - l*d + 65 = 0. Let m = 25 + -3. What is the remainder when m is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 141 and 5969?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 1698 - 182. Suppose y = 5*h - 4. Let x = h - 38. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*l = -35*l + 68222230. Let y be 4\/18 + l\/(-18). Suppose 3*r - 5*a = r - y, 0 = -4*r + 2*a - 1516010. Round r to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2052 is divided by 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -147219.\nAnswer: -1\/49073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, -3\/2, -0.02, 2\/3, 0, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.913768 to one dp.\nAnswer: -37.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/2977535 and -52\/107015.\nAnswer: 50618095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 84*c = 81*c + 20, 2 = 5*m - 2*c. Solve -2*k + m*j = 0, -k - 3*j + 6*j + 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -1 + 4 - 2 + 0 + 2*i. Suppose 5*h - 10 = -0*h. Let b(j) = 10*j + 3. Let d(z) = 11*z + 2. Let s(w) = -3*b(w) + 2*d(w). Calculate h*s(r) + 9*f(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.004, 7\/16, 29614?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x**3 - 27*x**2 + 10*x + 13. What is the tens digit of m(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 9:46 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((600\/(-112))\/15)\/(21\/(147\/2))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 2*j, 12*j - 16 = 8*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4554*j*s**2*y**2 + 3431*j*s*y**2 + s wrt s?\nAnswer: 9108*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-6)*((-12)\/63)\/((2485\/245)\/71)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -224 = -957*a + 950*a for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 8:24 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6154060?\nAnswer: 2, 5, 11, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54\/(-20)*13820\/(-149256).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.127 + -2.362. Round m to 1 dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-15)\/3 + 7 + -3. Let c(w) = 9*w**2 + 6*w - 1. Let y(d) = -d**2 - d. What is p*c(f) - 6*y(f)?\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5019*i + 5106. Give h(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.65 - -8. Let x = 0.05 - v. Let m = 0.2999968 + x. What is m rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + w = -4*w - 19, -4*w - 14 = -2*c. Suppose -37*j - c = -34*j. Is (-6397)\/(-2) + (j\/(-2))\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + -2)\/(-2 - -3). Let w = 10 + x. Let g(b) = 3*b**2 + 4*b + 1. What is the smallest common multiple of w and g(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3227722387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1490 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 3*y - 3*y. Suppose -4*m - m = -25. Solve w + 4*u = 9, y = w + 4*w - 5*u + m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -226 + 853. List the prime factors of (w - 2) + (3 + 0 - 0).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/618 and -75\/844?\nAnswer: 260796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) -20  (c) -0.3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 5 = k. Suppose u = -o + 6, 4*o + 2*u - 10 = 20. Is k at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p**(2\/3)\/p))\/(p*p**(-3)\/p)*p**12\/p*p\/((p*p**(2\/5))\/p) assuming p is positive.\nAnswer: p**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -13*r**3 + 4*r**2 + 3*r - 3. Let u(n) = -12*n**3 + 3*n**2 + 2*n - 3. Let y(s) = -6*f(s) + 7*u(s). What are the prime factors of y(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269751699.\nAnswer: 3, 7, 17, 61, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/26 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2350*a**4 + 45*a**2 + 75231*a + 1 wrt a.\nAnswer: -28200*a**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6256)\/36 + (-4)\/18. What are the prime factors of 12\/(-30) + y\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28579 is divided by 178?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b - 28*b = 185 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2.9312 - 0.1\nAnswer: 2.8312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 4, o: 1, x: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2039223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15 + 416?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3\/5 - 111449*y**2\/5 + 44582*y + 891608\/5 = 0. Calculate y.\nAnswer: -111451, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 0 + (3 - 2). Suppose 2 = -3*q + 4*a, -2*q - 2*a - 2 + 10 = l. Let z be (1\/3)\/(q\/(-6)). Is -2 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**8)\/b)\/b**6*b**(-8)\/b*(b\/b**(-1))\/b assuming b is positive.\nAnswer: b**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 332 = -0*t + t, 4*t - 998 = -3*o. Suppose 0 = 5*p - 285 - o. List the prime factors of p.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8.3 - -9. Let t = a - -2.3. Let v = 398951 - 398947. Put v, 5, t in decreasing order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -210.6 + 95.7. Round f to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -624 - -943. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + o - 2*o - 35, -3*p + 2*o = -30. Suppose -3 + 27 = p*h. Factor -2\/9*i**5 - 2\/9*i**h + 0*i**2 + 0 + 4\/9*i**4 + 0*i.\nAnswer: -2*i**3*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**5\/z**1*z*z**(-4)\/z*z**5 assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 6, z: 7, k: 2, v: 1, w: 3}. Give prob of sequence uw.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 7804.\nAnswer: 31216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 264?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 14*o**2 + o + 3. Let a(d) = 70*d**2 + 4*d + 14. Determine 3*a(i) - 14*r(i).\nAnswer: 14*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3807, 4150, 4525, 4938, 5395, 5902?\nAnswer: 6465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 14. Which is bigger: 2\/35 or g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/9 - -2*9\/(-2). Let b be -1 + y - (-147)\/15. Find k such that -2\/5*k**3 - 8\/5*k**2 - b - 2*k = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 + -38. Let x be (1 - g)*(-20)\/90. Suppose -4*t + x = -10. Solve -3*q - s - 4 = 0, -t*s + 35 = -3*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f*k**3 - 1896*f*k - 5969*k**4 - 7*k**3 + 36*k**2 + 10440 wrt k?\nAnswer: 6*f*k - 71628*k**2 - 42*k + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -16*u + 249. What is r(12)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(36)\/sqrt(4)*-3)\/((sqrt(6)*-2*5)\/sqrt(2)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 54552 (base 8) in base 15?\nAnswer: 6bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 5. Suppose -5*n = 27 + r. Let v be (n\/(-4))\/((-4)\/(-8)). Solve 4*p + 3*i = v*p - 7, 5*p + 22 = -2*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 + 4*v**2 + 7*v - 5. Let z be r(4). Let g = 32 - z. Let f be (-56)\/66 - (-6)\/g. Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(1088) + 0) + -3 + sqrt(1088) + sqrt(1088) + 2)*-5)**2.\nAnswer: -2400*sqrt(17) + 979225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 45277692247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 516 and 52?\nAnswer: 6708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7, -14, -21, -28, -35, -42?\n\"Answer: -7*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -357\/1040 + -271\/80. What is the common denominator of k and -91\/566?\nAnswer: 7358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 176, 170, 134, 50, -100, -334, -670, -1126?\n\"Answer: -3*s**3 + 3*s**2 + 6*s + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6867541 to the nearest integer?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -138\/17 <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**8\/336 - 5*w**7\/168 - w**6\/8 - 7*w**5\/24 - 5*w**4\/12 - 2*w**3 - 9. Let c(z) be the third derivative of n(z). Factor c(r).\nAnswer: -5*(r + 1)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 7:06 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -9, 5, -1.\nAnswer: -9, -1, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1573 is divided by 67.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 56093167 to the power of 1\/3, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**3 - c**3 + c**3 + (-5*c + 8 - 8)*(-26*c + 26*c + 7*c**2) in the form n*c + s*c**2 + o + g*c**3 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**3 - q + q**3 + q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(-4) + -1 - -9. Suppose -n + k = -3*o - 6, -4*n = 4*o - 40. Sort -3, 3, n.\nAnswer: -3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 - 5 + 5)*(4*w + 0*w - 3*w) - 49*w**3 + 100*w**3 + 75*w**2 - 68*w**3.\nAnswer: -18*w**3 + 75*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**3\/7 - 324280*l**2\/7 + 3567374*l\/7 + 8431852\/7 = 0. Calculate l.\nAnswer: -162151, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 402006.\nAnswer: 2, 3, 11, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-15) + (-1)\/5. Suppose 2*p - 4*w - 16 = k, 2*p - 8 = -w - 3*w. Let i = p - 5. Is 4\/7 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*l*n**4 + 32512*l - 32624*n**3 - 14*n**2 wrt n?\nAnswer: 312*l*n - 195744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 564.558um to centimeters.\nAnswer: 0.0564558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2*sqrt(275)*5 + sqrt(275)*-2 + -2)**2*-5 + -3.\nAnswer: -198023 - 1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 90 - 87. Let r(v) = -v**2 + 4*v. Let a be r(4). Suppose -l*q - 2*q = a. Solve 0*z - 27 = 4*c - 3*z, 4*c - 5*z + 37 = q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -68560031 - 0.2.\nAnswer: -68560031.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-36)\/(-40)*5)\/((-6)\/(-208)). Calculate the highest common divisor of m and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 162 + -171. Which is the biggest value?  (a) m  (b) -2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 1, -11, 0 in descending order.\nAnswer: 4, 1, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-6))\/(3\/9). Suppose 4*i = i + 12, 0 = 4*y - x*i. What is the second derivative of w**3 - 2*w - w**3 + w**y wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 1233\/(-36) - (246\/24 - 11).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -550.8 + 551.2. What is the third biggest value in -1, 0.1, j, -4, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 5*g + 1. Suppose -4*z + l - 2*l = 23, -1 = 2*z - 3*l. Calculate y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14956286.\nAnswer: 2, 29, 257867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 2*i - 51, -3*i + 6*i + 5*n = 74. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -16*f - 24. Let t be x(-5). Suppose -4*l + t - 12 = 0. What is the least common multiple of 32 and l?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 6 = 3*r. Let q be (-1*(-2)\/(-6))\/(r\/(-72)). Suppose 12 = q*w - w. What is the greatest common divisor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57649*u - 57638*u = 561. Solve -u*b + 602 = 35*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**3 - 40*t**2 + 15*t + 40*t**2 - 3*t**3 + 5*t**3 - t**3 + (-t + 3 - 3)*(t + 2*t**2 - t) + 0*t + 0*t + 2*t**3.\nAnswer: 3*t**3 + 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-16)\/(-20))\/((-168)\/20))\/((-15)\/9).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16052 - 6696. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 3*v**2 - 19512*v + 31726512 = 0.\nAnswer: 3252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 smaller than 39803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -690 + 21*q**2 - 8*q + 411 + 8*q + 279.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 15*b + 6*b + 32*l - 431 = -b, 5*l - 53 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 > -346\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 29*d - 33. Let i be k(-27). Suppose i = 3*r - 3*j, 2 = -r + 21*j - 23*j. Solve -r*m = -0*m - p - 1, -4*p = 4*m + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38107177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2*w - 14, -4*w - w + 3*h = -19. Suppose -166*o - 63 = -173*o. Solve 0*t + t + o = 2*g, 0 = w*g - t - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 40.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 812*n**3*s + 75*n**3 - 106*n**2*s**2 - 26355*n wrt s.\nAnswer: 812*n**3 - 212*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(2736) - (-1 + sqrt(2736))) + 5)*1*-1)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 88*o**3 - 13*o**2 + 2. Let p(b) = 176*b**3 - 32*b**2 + 5. Calculate -5*n(q) + 2*p(q).\nAnswer: -88*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1  (b) 1  (c) 1\/3  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4068 - 1876 = -187*i - 6971 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 493 and 1769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 118 and 571769?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, u: 2, b: 2, s: 1, q: 1, a: 2}. Give prob of sequence uq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is a897 (base 16) in base 3?\nAnswer: 2012012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4*n**3 - 3 + (-2*n**3 + 0*n + 0*n)*(1 - 1 - 2) + 6*n**3 - 4*n**3 - 3*n**3)*(0*n**2 - n**2 + 6*n**2).\nAnswer: 35*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 5:46 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 18725631 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28167583 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 18082 minus 911?\nAnswer: 17171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -190.1016 + 190. Which is bigger: 0.01 or m?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -436 - -42. Which is the biggest value?  (a) s  (b) 3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 5840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 + 186*d - 188.\nAnswer: 2*(d - 1)*(d + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 < -0.0508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*x - 144*x + 5*z + 27 = -293*x, -5*x - 23 = 8*z + 27 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 80 - 61. What is the third derivative of 28*i + 22*i**2 - 48*i**5 - 28*i - y*i**2 wrt i?\nAnswer: -2880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*x + 1093 - 1035 + 111*x - 36*x.\nAnswer: 163*x + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 286, 2\/3, -18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 107085 - 22786 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 2:42 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 81 + 85 = 0. Sort -1\/3, i, -0.5, -2\/5 in ascending order.\nAnswer: i, -0.5, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**2\/g))**10)**3\/((g**(2\/5))**44*g**7\/(g\/(g\/g**(-2\/11)))) assuming g is positive.\nAnswer: g**(-1363\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/1*9 + (-6)\/2. What is the second derivative of -j**3 + 37*j + 0*j**3 - 39*j**2 + 0*j**3 + l*j wrt j?\nAnswer: -6*j - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 8*t**2 + t + 10. Let b be s(-8). Let n(l) = -2*l**b + 2*l - 2*l. Let x(m) = 4*m + 1 - 1 - 5*m. What is x(n(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142657*i - 142658*i + 231 = -5*u, 5*u + 232 = 2*i for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by -6037\nAnswer: 11\/6037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -6, -5 in decreasing order.\nAnswer: 8, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y. Let w(v) = v. Let c(x) = 3*x. Let z(i) = -3*c(i) + 5*w(i). Determine z(u(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52.8 - -4.2. Let l = 57.01 - u. What is the third smallest value in 5\/3, l, -13, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -6*n + 19. Let a be p(1). Suppose -8*c + 52 = -7*c. Calculate the highest common factor of a and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, y: 2, k: 5}. What is prob of sequence ff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 8, f: 2}. Give prob of picking 3 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.4 + -29.4. Let x = v - -28. What is the third smallest value in x, 0, 5\/3, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62 divided by 2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15209, 7, 423, -4.\nAnswer: -15209, -4, 7, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83017*l + 218 - 83004*l + 166011*l - 218.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/((-16)\/(-9)))\/3. Let z = 827 + -810. Sort k, 0.4, z in ascending order.\nAnswer: k, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000751 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 8, f: 2}. What is prob of picking 2 u?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100101010110 - 10010100111110?\nAnswer: -1101111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 524218 is divided by 95.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 924*-5.\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 2.8, -7, 7, 5?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5b55 (base 12) in base 6?\nAnswer: -115345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1533 - -626?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -435 + -150. Let n = m - -585.1. Which is the nearest to 0.8?  (a) -4\/5  (b) n  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 56600 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12*-1*(-6)\/4. Suppose 4*q + 5*a - 509 = 0, 5*q + 20*a = u*a + 632. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 10:13 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1005 divide 5160492090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.0341*-19774\nAnswer: 674.2934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23624*q + 23624*q - 1253*q**3.\nAnswer: -1253*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*k + 12*k + 27*k)*(-2*k + 0*k + 0*k)*(2 + 3*k**2 - 2) - k**4 - 4*k**4 + 6*k**4.\nAnswer: -179*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2769*c + 4644*c + 5059*c + 249624 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 44 + -46. Sort 2, m, -6 in descending order.\nAnswer: 2, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 232 = -5*j - 83, 5*f = -4*j + 97. Solve -3*p - 7 + 3 = 4*v, -3*p = -4*v - j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3727 - 3547. Calculate the lowest common multiple of 36 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (39\/(-156))\/((-58)\/32 - -2). Let j = 3.4 - 3. Suppose 4*v + 4*n + 0*n = -8, -17 = v + 4*n. Which is the closest to t?  (a) j  (b) 0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/54*(-12)\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -74.8 and -142502.\nAnswer: 10659149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -757 = 5*d + 2*r - 6030, 5*d = -3*r + 5272. What is the remainder when d is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/66)\/(12\/36) - (-369936)\/(-1235322).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 822717.2 years to months.\nAnswer: 9872606.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 26 - -33 - (-1 + 14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 11:33 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3526.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t**(-7)*t*t)\/(t**12*t))\/(t**(-1\/5)*t**(-1\/4)))**9 assuming t is positive.\nAnswer: t**(-2799\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 6. Let n be (2 - 1 - (3 + -5)) + q. Let j = 17 - 13. Solve -5*t = -p - 7, 0 = -0*p + j*p + 5*t + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r**3 - 147*r**2 - 1033*r - 477. Calculate s(80).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 428.9 + -422. Let z = 7 - y. Which is the closest to 3.2?  (a) z  (b) 3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + 14 + 97\/(-8). What is the closest to -2 in -14, h, -7, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74142006?\nAnswer: 2, 3, 37, 333973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -158 + 86. Let n = z - -293. Let v = n - 435. Round v to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**4\/4 - 3*p**3\/4 + 81*p**2\/4 - 297*p\/4 + 81.\nAnswer: -(p - 3)**3*(p + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x + 5*s + 31 = -5*x, 2*s + 19 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1320 (base 5) to base 3.\nAnswer: -21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*v + i + 20 = -53*v, -2*v = -6*i - 40 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -0.46  (c) -4  (d) -7  (e) 4  (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 8*l**2 - 7*l - 4. Let r be g(7). Let s = 12 + r. Suppose 2*w - 4*k = -s, 4*k = w + 3*k + 1. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42 + -45 - (-1 + (-2 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2629\/105 + 137\/7. What is the common denominator of (-5277)\/28144*404\/(-6) and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -238295 or -238303?\nAnswer: -238303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -5*z**2 + 141*z + 53. Calculate the lowest common multiple of u(28) and 198.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55 and 22130.\nAnswer: 243430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 73.23 - 73.73. What is the nearest to -2 in -3, n, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 5*d**2 - 12*d - 31. Let t be v(-6). What is w in -11*w**4 - 15*w + 5*w**4 + 5*w**t - 1297*w**3 + 28*w**2 + 2 + 1283*w**3 = 0?\nAnswer: -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -183*s**2 + 6*s + 3. Let g(m) = -558*m**2 + 17*m + 8. Give -4*g(z) + 11*i(z).\nAnswer: 219*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30912 divided by -3864.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 2\/9, 2\/11, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4574 - y**2 - 4574. Let i(b) be the second derivative of -19*b**4\/12 + 6*b. Calculate i(z(n)).\nAnswer: -19*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - 2*o + (2*o - 3*o + 0*o)*(-2 - 2 + 6) + 0*o + 0*o - o + 0 + 0 - o + (-3*o + 2*o + 4*o)*(-1 - 2 + 2) - 3 + 2*o + 3 + 11 + 3*o - 11.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 69395311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**3 + 1284*w**2 - 12507*w - 13794 = 0. What is w?\nAnswer: -1, 11, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52 or -45?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 j, and 1 e when three letters picked without replacement from {j: 6, t: 2, w: 3, a: 4, e: 1}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(((-16)\/(-24))\/1)*156\/1144.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 137198 + -40747753\/297. What is the common denominator of x and -131\/162?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5558*s + 5558*s + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 9, e: 7}. What is prob of sequence kkke?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 + (-7)\/(28\/(-129384)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 38.2664.\nAnswer: 37.2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*t**3 - t**3 - 11*t**3.\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 79363730 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -6*a**2 + 10085*a - 10079 = 0.\nAnswer: 1, 10079\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of 0*b + 2\/3*b**3 + 16*b**2 + 1\/12*b**4 - 1\/60*b**5 + 0. Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 - 23. Suppose -3*b + 7*b - o - n = 0, -4*b + 5*o = -15. Suppose i - b*i + 40 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 11 - 12*x**2 + 10*x**2 + 2 + 10*x. Determine y(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 + 5*i**2 + 11*i - 26. Let h(a) = -2*a**3 - 75*a**2 - 35*a + 79. Let x be h(-37). What is the remainder when 83 is divided by r(x)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1521 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 402*v + 12*v**2 + 12 - 5 - 45*v**2 - 79 = 0. Calculate v.\nAnswer: 2\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 18*y**2 - 12*y + 41. Let n be m(17). Suppose n = 4*r - 78. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 1 = 1. Suppose 0 = -3*f - s*f + 27. Suppose -b = -k - 5, -2*k - 3*b + 4*b - f = 0. Is -4 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 4*t - 167. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of 0 - 1\/6*d**3 - 5*d + 13\/2*d**2. Let t be k(9). Solve -4*l = 4*c + c + 15, 3*c - t*l - 23 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -11 + (34 - 18) + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/(48\/9)*-2. Let v be (30\/(-25))\/(y\/(-10)). Suppose -15 = -n - v*n. Solve -n*d + 0*d + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 761 = -2*j - 249. Let o = 708 + j. Suppose -5*d - 3*b + 169 = -o, -230 = -3*d + 5*b. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 0*t + 10. Let r(f) be the third derivative of 0*f + 0 - 2*f**2 + 1\/3*f**3 - 1\/20*f**5 - 1\/12*f**4. Give r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 + d + 2. Let g(m) = -2*m**3 - 3*m**2 + 8*m - 7. Let r(k) = 4*g(k) + 4*y(k). Factor r(t).\nAnswer: -4*(t - 1)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -4*j + 86. Let c be b(29). Calculate the remainder when (c\/9)\/(2*3\/(-9)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 37*u**2 + 69*u - 52. What is h(-35)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14525 (base 7) in base 6?\nAnswer: 30405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*t**5 - 2472*t**4\/5 - 1809*t**3\/5 - 426*t**2\/5 - 33*t\/5 = 0 for t.\nAnswer: -1\/4, -1\/5, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/400 and -113\/360.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) 2  (b) 0  (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -9 + t**2 - 4*t**2 + 7*t + 11 + 2*t**2. Let j be k(7). Suppose 0 = 3*d - j*d. What is the nearest to 1 in d, 3\/4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 0.173.\nAnswer: -0.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 11\/(33\/(-15))*(-16)\/10. Let z = 15 + f. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 907541 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268192 is divided by 5156.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4610903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-576)\/210*(-320)\/6. Let b = 146 - q. Let u be 18\/(-30)*(-2)\/(-3). Are u and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 5*i**2 + 11220*i - 17707985 = 0.\nAnswer: -3313, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 5*c + 10*c**2 + 2*c**2 - 27 + 3*c**3 - 5*c**3. Is a(12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1686411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 149 + 503. Let n = j + -233. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c. Let k be h(-2). Solve k*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.54998 weeks in microseconds?\nAnswer: 19686227904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 + o - 3. Determine l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8260000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4890822 centuries to years.\nAnswer: 48.90822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xgsg when four letters picked without replacement from zegssggzgevxegz?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -2253, -3 in decreasing order.\nAnswer: 3, 2, -3, -2253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 144*k**3*q - 17885*k**3 - 6769*k**2*q + 22*k + q with respect to q.\nAnswer: 144*k**3 - 6769*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -715 + 713. Which is the fourth biggest value?  (a) 2\/7  (b) 1  (c) r  (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15326 (base 9) to base 4.\nAnswer: 2203221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -30\/7  (b) 9  (c) -5  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f**3 + 6*f**2 - 5*f. Let u(j) = -2*j**3 + 5*j**2 - 4*j. Suppose 3*w - 3*x = 9, -2*w = -0*x + x - 9. Determine w*p(r) - 5*u(r).\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*k - 3*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b\/b**(-1)*b))**(-16))**(-16)\/(b**(1\/2)\/((b\/(b\/b**(-1\/4)))\/b*b))**(5\/6) assuming b is positive.\nAnswer: b**(-6149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + u = 3*u, 5*u = 4*b. Suppose b = -2*k + 31 + 11. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2*-1)\/(7*7\/49)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-30)*2*40\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 9*f + 13. Let p(j) = -j**3 + 5*j**2 - 4*j + 7. Let w be p(5). Suppose -5*d + 3 = -27. Let g(l) = 4*l + 6. Give d*b(i) + w*g(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, d: 2, i: 3, w: 2, x: 4, l: 2}. What is prob of picking 1 x and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1505 - -0.0105. Let t = 13.76 + -14. Let i = t - q. What is i rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15019597 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2770*z - 5 + z**2 + 5 + 5420*z - 1963*z.\nAnswer: z**2 + 6227*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.521 * -3\nAnswer: -1.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 513 is divided by 345?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*k - 20 = 0, 0 = -2*i + 5*i + 3*k - 12. What is the units digit of (-1 - i - -2) + 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*t - 17*t = 0. Let u(d) be the second derivative of -d**4\/12 + d**3\/6 + 2*d**2 - 16*d. Calculate u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 4. Let h be (68\/32)\/j - 2. Suppose -7*i = -2*i - 25. What is the second smallest value in -0.5, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12485*w**4 - w**3 + 2*w**2 + 111330*w.\nAnswer: 149820*w**2 - 6*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -68, -64, -58, -50?\n\"Answer: b**2 + b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 402413.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 4:48 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16597*b*n**2 + 2*b*n - b - 6542*n**2 - 18*n - 6477110 wrt n.\nAnswer: -33194*b - 13084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 802542218 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: Simplify sqrt(17) + (sqrt(153) + sqrt(153)*-1)**2 - ((sqrt(255)\/sqrt(5))\/sqrt(3))**2.\nAnswer: -17 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -51\/32 > 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n + 4669 = 64*n + 7105 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 9 + 12 + -9 + -15 - -15.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 11:05 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-7))\/((-88)\/308).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + s = 10. Suppose -a = s*a. Let f(x) = 4*x**2 - 6*x**2 - 3*x + 4*x**2 - 4 + a. What is f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -464 + 464 - 14*t + 15*t. Let d(j) = -5*j**2 + 0*j**2 - 14*j**2. What is d(b(f))?\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, -1\/6, 0.7, -14\/3, 0.3, -5?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*i**3 + 54*i**2 + 36*i**3 - 185*i**3.\nAnswer: -256*i**3 + 54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*(2 - (-12)\/(-8)). Suppose v*i + 40 = 6*i. Solve 4*w - i = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 108, -5 in decreasing order.\nAnswer: 108, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*q = -5*q, 0 = -3*b - 5*q - 8. Let f be (-15 - -11)*b\/(4\/46). Let n be f\/12 + 1\/6. Solve -y = n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 591274061?\nAnswer: 7, 84467723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 + 4f6?\nAnswer: 4f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of -d**7\/735 - 8*d**6\/105 - 19*d**5\/15 - 190*d**4\/21 - 25*d**3 - 2008*d**2. Find y, given that u(y) = 0.\nAnswer: -21, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22 or -3759\/173?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 198683601324710.\nAnswer: -198683601324709.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21549 - -76300. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 4*g**2 + g. Let s be i(4). Suppose -s*a + 13460 = a. Suppose -4*r = 2*q - 1346, -q = 3*q + 5*r - a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x + 29. Let j be d(7). Suppose j*o - 10*o = -266. List the prime factors of o.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w**2 + 83*w - 40. Let v be f(-42). Sort -1\/4, v, 5.\nAnswer: -1\/4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 491525567 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 + 27. Suppose 4*g = y + 17, 3*y = 3*g - 2*g - 18. Solve o = -g*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/(-4))\/((-5)\/(-20)). Suppose 2*q = p + 9. Suppose 21 = o - q*k, 2*k - 189 = -4*o + k. Is o a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 15521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 7*y. Let g be s(-7). Let w(j) = 13*j**2 - j**3 - 5 - 2*j**3 + 4*j**3 + g*j**3 + 12*j. Let c be w(-12). Sort c, -1, 2\/5.\nAnswer: c, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*d**3 - 69*d**3 - 61*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2\/21, 1381 in decreasing order.\nAnswer: 1381, -2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 37 = -4*a. Calculate the greatest common factor of 111 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -60*-1*(13\/5 - 3). Let d = 27 + l. Suppose 5*x = 3*g + 7373, -2*g = 4*x + d*g - 5928. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1214100312 (base 5) to base 10\nAnswer: -2878207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1125 and 1296375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**3 - 8*v + 8*v)*(-1 + 2 + 0 + (1 - 6 + 3)*(2 + 0 - 3) - 3 + 2 + 2 + (-3 + 1 + 5)*(-3 + 0 + 2) + 2 - 3 + 2).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 40181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-15)\/10)\/((-3)\/18). Solve 2*z = -10, -3*z - r = 2*c + c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 279 divided by -1476\nAnswer: -31\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 4*c = 150. Let g = -106 + c. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/6280 and 61\/7850?\nAnswer: 31400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 28295 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: Which is the closest to 0?  (a) -3  (b) -11.31  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 4*d + 6 = 0. Suppose d = -2*q - f, 2*f = q - 2*f + 12. Let c = 8 + -7.5. Put q, -0.5, c in descending order.\nAnswer: c, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 178.6661226s to weeks.\nAnswer: 0.0002954135625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -56\/13 or -2.02277?\nAnswer: -56\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 2*n - 513 = -463, d + n = 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 46*l**2 + 2199*l - 147. Give n(-48).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*q**4 - 3*q**2 + 50*q.\nAnswer: -24*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-1\/4)*j)\/j)\/j**(-3\/2)*(j\/(j**(-1\/2)*j))**22 assuming j is positive.\nAnswer: j**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 48311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*4\/(48\/9). Suppose -9 = -m*x + 3*w, 0 = x + 3*x + 3*w - 26. Suppose -7*k + 2*k = 3*g - 140, -4*g = 4*k - 120. Solve x*u = a - k, 0 = -6*a + 2*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 39688 - -6783. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1271031 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 57 = -3*t + 18, -x - 3*t + 45 = 0. Suppose -x = -y + 112. List the prime factors of y.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -0*j + 3*j + 4, -5*j = -10. Is (9\/r - -2)\/(4\/(-2056)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 20544 = -2*r + 2723, -4*r = 8. What are the prime factors of a?\nAnswer: 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence veq when three letters picked without replacement from qaavaaoaaeaeqe.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.705969 years?\nAnswer: 0.001705969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -y - 664, -r + 3*r + 1280 = -2*y. Let b = 1399 + y. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28481 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -143 - 11134312?\nAnswer: -11140010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401018603?\nAnswer: 89, 167, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3 + 5*s + 3*s - 5*s. Let b be i(2). Let g = -1\/80 + -397\/240. What is the closest to -0.1 in g, 1\/2, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-255)\/(-170) - (-91)\/(-62)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 1:53 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -76959854*h**2*n**3 - h**2*n - 106074*h**2 + h + 8*n wrt n?\nAnswer: -461759124*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 33 = -7. Suppose 3*k - 96 = -3*h, 4*k + 0*k - 163 = -t*h. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 1238.39\nAnswer: 371.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1381, 2773, 4171, 5575, 6985, 8401, 9823?\nAnswer: 11251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of c**4\/6 + 13*c**3\/6 + 4*c**2 + 6*c. Let w be p(-6). Suppose 8 = w*q - 2. Solve -4*g - 1 = -q*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7826)\/(-6708))\/(56\/30)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**3\/3 - 4413428*z**2\/3 = 0. What is z?\nAnswer: -2206714, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24 - 0) + (-285 - -271).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21756 + 35711. List the prime factors of b.\nAnswer: 5, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100710 divided by 746.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q\/q**2*q\/(q\/q**(2\/15))*(q*q**2)**(-15\/8) assuming q is positive.\nAnswer: q**(-659\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -1\/20*y**5 + 4*y + 0 - 5\/6*y**3 + 7\/12*y**4 + 2*y**2. Calculate the lowest common multiple of 9 and o(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -163.8 + 168.8. What is the nearest to 6\/7 in -2, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (56\/6)\/((-22)\/(-33)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 146 + -143. What is the highest common factor of x and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of 0 + 2*l - 1\/6*l**4 + 1\/6*l**3 + 0*l**2. Find the second derivative of h(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t + 40. Let w be r(21). Let f be (w - -2)*(-1)\/2. Sort f, 2, -7, -1 in increasing order.\nAnswer: -7, -1, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62354323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 94\/15, 4, -2, -36007.\nAnswer: -36007, -2, -0.5, 4, 94\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1662 - -1657. Put 11, 0, o, -4 in ascending order.\nAnswer: o, -4, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12194910 and 1548?\nAnswer: 1048762260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ehoiohkhoohihyhyekh. Give prob of sequence iky.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 5 + 11 = 0. Suppose -o + 61 = -3*h + l*h, -o - 122 = 2*h. What is h rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 AM and 12:32 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -47*j**2 - j + 7. Let s be v(5). Let p = s - -12918\/11. Let l = p + -14\/99. Find the common denominator of l and 79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15591950.\nAnswer: 2, 5, 11, 28349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.06 - -2383.255288.\nAnswer: 2383.195288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 - 2*c + c + 1 - 1 + (1 - 3 + 0)*(3*c - c - c) - 4*c + 2*c + 2 - 17*c to the form s + l*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -39 (base 16) to base 4\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 4*w + 20. Let u(z) = z - 1. Let x(n) = -a(n) + 6*u(n). Let q be x(15). Suppose -q*m = -c + m + 214, 2*m = -2*c + 452. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -265, 2, -2 in ascending order.\nAnswer: -265, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 815 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3*z + 5, 4*a + 2*z = 26. Suppose 0 = 4*b + 3*b + 1029. Let p = b - -148. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10223*r - 10208*r + 30 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**3 - 14*x**2 + 23*x - 10. Let z(q) = -q**3 - 7*q**2 + 12*q - 5. Let i(m) = 4*u(m) - 7*z(m). Calculate i(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -1121*c**3 - 7*c**2 + 115*c + 358. List the prime factors of f(-3).\nAnswer: 11, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -196, -390, -584?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 66402.7 litres in millilitres?\nAnswer: 66402700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 - 13*i + 5. Let f = 25 - 15. Let l be k(f). Is (l\/(-20))\/((-9)\/192) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 4 + 85*w - 2 as i*w + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 14*a = -96. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27 and 70181064.\nAnswer: 210543192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 2177000 to the nearest ten thousand.\nAnswer: 2180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -12. Suppose 0 = i*o - y - 5, 2*o - y = -2*o + 5. Suppose 2*h - 2*f = 0, h + f - 3*f + 2 = o. Solve 5*d + 2 = 5*a + h*d, -d - 1 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 0)*(0 + 0 - 2)*(6*p**2 - 3*p - 3*p + 2*p) in the form q + a*p**2 + n*p and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*j + z, -4*z = j - 3*z. Suppose j*s - 2 - 14 = 0. Let m = -249\/65 + 42\/13. Which is the closest to s?  (a) m  (b) 0.4  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 34\/(-4) - (54\/12)\/(-9). Let y(t) = t**2 - 4*t. Let n be y(3). Sort n, w, -5 in descending order.\nAnswer: n, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7327110\/1150 + ((-8)\/(-5) - 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 60020*c*g**2 + 304689*g**2 wrt c.\nAnswer: 60020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + 10. Let i = -5 + k. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 6:10 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(136) - sqrt(136)*-1))\/sqrt(8).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 3657 + -9*(-8 - (-15 + 8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1078 and 242109.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 + 2469*j - 428778.\nAnswer: -3*(j - 574)*(j - 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 13.3 times -3.83\nAnswer: -50.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 5\/6*v**3 - 1\/3*v**4 + 0*v**2 + 0 - 1\/20*v**5 - 4*v. Give s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33790243 or -12?\nAnswer: 33790243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -1 + 3. Suppose 2*k + o + 20 = 6*k, 0 = -k + i*o + 12. What is the remainder when k is divided by ((24\/(-10))\/4)\/(2\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = 2*y - 10*c, -y - 4*c - 8 = 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*w - 64*w + 1952 = 0. Is w a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -161, -648, -1459, -2594, -4053, -5836, -7943?\n\"Answer: -162*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -76, -98, -126, -160, -200?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 296 + 31 = 5*w, 5*w + 3*h + 270 = 0. Let n be 24\/(-132) - w\/11. Is -1*(2 - 1875\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 5*m + 216. Give t(-41).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 705 divide 41921001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 860672223 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of h**9\/756 - h**7\/70 - h**6\/45 - 8*h**3\/3 + 24*h**2. Let r(f) be the first derivative of k(f). Find x, given that r(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p**4 + 561*p**3 - 35154*p**2 + 749580*p - 714984 = 0 for p.\nAnswer: 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -9, -0.8, 4\/3, -2\/31, -3\/4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12240 and 23040?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6932, -72, 6, 5 in decreasing order.\nAnswer: 6932, 6, 5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8292202 is divided by 392.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*(16*z**3 - 164*z + 164*z).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*j**2 + 19*j**2 + 26*j**2 - 59*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -60*t. Let d(n) = 239*n. Calculate i(d(y)).\nAnswer: -14340*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1737226.\nAnswer: 2, 868613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47725.\nAnswer: 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-2)*(-20)\/60. Is j >= 8\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134394418 to the power of 1\/2, to the nearest integer?\nAnswer: 11593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101110011111000 - -11111110?\nAnswer: 11101110111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1074.257 + -896948.257. Let m = 895874.01200046 + b. Let n = -0.012 + m. What is n rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 5*d**2 + 3*d. Let i be u(-4). Let o be (-6)\/(i\/8 + 2). Let z(k) = 4*k + 6 - 8*k + 3*k**3 - 2*k**3 + o*k**2. Determine z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -7\/32237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1 + sqrt(1900) + sqrt(1900)*1*-2 - (-1 + sqrt(1900)*-1)*3)**2.\nAnswer: 200*sqrt(19) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -25*f**3 + 11*f**2 - 62*f - 365. Let j(z) = -9*z**3 + 4*z**2 - 21*z - 122. Let o(y) = 11*j(y) - 4*w(y). Find the first derivative of o(n) wrt n.\nAnswer: 3*n**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50 + -70 + 7 + 24 + 8.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.93 from -1407.13397545.\nAnswer: -1410.06397545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3*p + 5. Suppose -3*v = d + 3, -p*v + 4*d + 12 = -3*v. Solve -5*h + v - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 81465000 to the nearest 1000000.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 45 + -40.4. Let a = -0.6 + h. What is the third smallest value in a, -4, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39.8 + 40.8. Let d = -6 - -31\/5. Let i = -12 + 13. Which is the closest to t?  (a) i  (b) 0.1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -24 + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2615 + 2880. Are q and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12131 (base 5) in base 16?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-260)\/(-242) + (-2)\/2. Let l be (210\/8)\/(1573\/(-2782)). Let m = l - a. Calculate the common denominator of 45\/2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-1) - (-1)\/((-11)\/(-50)). Factor 4\/11 + w*s + 2\/11*s**2.\nAnswer: 2*(s + 1)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**6 - 19*l**4 + 54*l**2 - 1.\nAnswer: -240*l**3 - 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 6*n - 183 = g, 4*g + 657 = 3*n. Let j = 317 + g. Calculate the remainder when j\/((-18)\/81 + 33\/27) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8238\/(-9)*219\/(-28). Let k = 7154 - d. Let q = 31259\/12 + -2610. Find the common denominator of k and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = 13*r + 4 - 20, -1 = r - 4*l + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 7814948 divided by 3907474\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27521964.5 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -0.2  (c) 34  (d) 2  (e) -2\/5  (f) 12\/35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/22 + 171\/33. Suppose 5*k = -f*r + 30, 52 = 4*k - 4*r + r. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12a268 (base 14) to base 3\nAnswer: -1012122110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 2 + 17\/7*u**7 + 2\/3*u**3 + 0*u**4 + 0*u + 0*u**6 + 0*u**5 + 0*u**2. What is the third derivative of p(h) wrt h?\nAnswer: 2040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7\/1161, 1\/11, 5, 0.3 in ascending order.\nAnswer: -7\/1161, 1\/11, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 3 + 5 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {g: 1, d: 2, w: 3, k: 4, q: 6, j: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 52460 + w**2 + 3*w + 2*w**3 - 52559 - 3*w**3 - w as x*w**2 + p*w + c + f*w**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8.8 in -49\/3, 15, 2, 9?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 6*c**2 - 1. Let a be k(1). Solve -a*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16d - 1ea?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 8:19 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 13 = 3*d, -2*d = -5*j + d + 17. Solve -j*z = -2*n - 6, 5*z + n = 6*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3725 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*v - 3876 = -37*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-444)\/(-333)*(-20)\/(-12))\/((-8)\/12)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 180781464 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 782812 and 2246012?\nAnswer: 7316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*q**4 + 63*q**3 - 1122*q wrt q?\nAnswer: 72*q**2 + 378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00116154921 to 5 dps.\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 1 + -6*(sqrt(208) + 0))**2.\nAnswer: -288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2136 + -1699. Calculate the highest common divisor of 38 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 0) + 204\/(-54). Let l = -53 + 54.1. Let w = l - 1.2. Which is the second biggest value?  (a) w  (b) x  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + 4*j**2 - 2*j + 1. Let b be x(-4). Let q be 0 + (b - 5) - (-2)\/(-2). Solve 1\/5*o**4 - 2*o**q - 54\/5*o + 27\/5 + 36\/5*o**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-6)\/9)\/(8\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.29 + 0.19. Let u be -82 + (2 - 0\/4). Let h be u\/50 + (-3)\/(-5). Which is the closest to 0.3?  (a) -1\/5  (b) m  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h - 2. Let y be v(-4). Suppose 3*f = 2*l - 29, -y*l + 5*f + 19 = -0*l. What is the lowest common multiple of 12 and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.9092 + -0.90129. Round w to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 8) to base 9\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1 + -0.3. Let v = f - -1.2. Let l = 3 - 6. Which is the third smallest value?  (a) 3  (b) l  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -71 + 177. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, m: 3, y: 1, d: 1, b: 1, k: 5}. What is prob of sequence bk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -674 or -919?\nAnswer: -674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 27*n + 30. Let h be p(28). Sort 0, 4, h, 1\/3.\nAnswer: 0, 1\/3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -110, -161, -286, -521, -902, -1465?\n\"Answer: -6*n**3 - n**2 - 6*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-16))\/(-2*90\/1296).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -890, -2056, -3222, -4388?\n\"Answer: -1166*z + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1 + 0. Let k = -1 + -1. Let i = k + 7. What is the closest to o in -0.3, i, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1075130*t**2 + 4*t + 5740903?\nAnswer: -2150260*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 199289361 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -424463 divided by -13.\nAnswer: 32651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 = -7*o + 32. Suppose -34*n = -o*n - 28. Solve -3*u = -n*m + 3*m - 3, 4*u + 3*m + 9 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -5*z**3 + 3*z + 1. Calculate c(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3617?\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**5*o)\/o**1)\/(o**(-2\/7))**(-41) assuming o is positive.\nAnswer: o**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 426.55 - 489.55. What is the closest to -1 in -6, f, -5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1785.79 - 1785.4. Does t = -2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -73, -567, -1903, -4501, -8781?\n\"Answer: -70*m**3 - m**2 - m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, a: 4, b: 2, q: 6, u: 1, m: 1}. What is prob of picking 1 o and 2 q?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, y: 2, k: 1, u: 1, z: 1, r: 2}. Give prob of sequence dukr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2877 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.004 * -5455505\nAnswer: -21822.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 239992249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 566763 to the power of 1\/2, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -942137*o + 942138*o - 150 = 4*w, 0 = 4*w - 2*o + 148 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 - (-95)\/(-15) - 1624063\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2\/11, -444, -0.4, 3\/7, 16459?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (26 - 28) + (9 - -13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30958302 to the nearest integer?\nAnswer: 5564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6\/305 or 339750?\nAnswer: 339750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + 0*q**2 - 4*q**2)*(1 - q - 1).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9566331 is divided by 1826.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 12*l. Let t(g) = 232*g + 1. Determine 14*h(i) + t(i).\nAnswer: 400*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 + -18. Let b(h) be the first derivative of 2*h**3\/3 - 27*h**2\/2 + 12*h + 291. Let w be b(13). Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + u - 3*c - 629 = 0, u - 156 = c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/2 + (17 - 16). Suppose d*y = -y. Solve -5*b - 23 - 2 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9355, -9421, -9487, -9553, -9619, -9685?\nAnswer: -9751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005495856649 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38911.391 + 38911. Which is bigger: -0.05 or u?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4184.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.340283 nanometers in millimeters?\nAnswer: 0.000003340283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 - 9*o**2 + 7*o + 26. What is the remainder when l(9) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 201233.57 - 200240. Let t = r + -993.6500044. Let d = t + 0.08. What is d rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-15))\/((-70)\/(-15))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 157271051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.1, -0.4, 260\/387, 0.3, -0.3, -0.2, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/(-3))\/((-15)\/(255\/(-34)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 2666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27713, -111253, -250487, -445409, -696013?\nAnswer: -1002293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2539 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3763004 divided by -263?\nAnswer: -14308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**5)\/i*i\/(i*i\/i**(-4\/7))*(i**(-1\/10)\/i*i)\/i**(-2\/7) assuming i is positive.\nAnswer: i**(253\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) 82  (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0.37, 27, 873 in descending order.\nAnswer: 873, 27, 0.37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*(-7 - 13080\/(-1870)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -z**6 - 1198*z**3 + 47*z**2 + 8 wrt z.\nAnswer: -120*z**3 - 7188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -4  (b) -17  (c) 13  (d) -0.4  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -742, -1483, -2224, -2965?\n\"Answer: -741*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*i**4 + 15*i - 13*i + 5*i**3 - 12*i**3 - 1 + 5*i**3 as c*i**4 + b*i**2 + z*i**3 + x*i + g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = z - 15. Suppose -z*u = -3*u - 32. Calculate the least common multiple of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 280, 1114, 2502, 4444?\nAnswer: 6940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 7:45 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -16 + 19 - (1 + 0). What is the nearest to 2 in 0, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34581.\nAnswer: 3, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r + 4 = 12*r - h, -h = -4. Sort r, 6, 17, -5 in increasing order.\nAnswer: -5, r, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1065, -2131, -3197?\nAnswer: -4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 + 43. What is the remainder when t is divided by 8 - (-274 + 2)\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/13)*(z**(2\/7)*z*z)\/z)**(1\/4) assuming z is positive.\nAnswer: z**(131\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -642 + 642. Let c(z) be the second derivative of p - 2*z - 1\/12*z**4 + 1\/20*z**5 + 0*z**2 - 1\/6*z**3 + 1\/30*z**6. Determine q, given that c(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176)\/sqrt(275)*-4)\/(-5*(sqrt(968) - (sqrt(968)*-1 + sqrt(968)))).\nAnswer: 4*sqrt(2)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 64169 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -9*r - 11. Let a be (300\/(-28))\/1 + (-2)\/7. Let j(u) be the first derivative of -5*u**2\/2 - 6*u - 2. What is a*j(l) + 6*i(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(2 + -5 - -9). Let n(o) be the second derivative of 0*o**2 + x*o**3 - 4*o + 0 - 1\/3*o**4. Find the second derivative of n(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 585 + -585. Suppose 50*s - 359 - 891 = b. Calculate the remainder when 123 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 572 = -5*s - 188. Let g = s + 605\/4. Do -2 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p**4 + 621862*p**3 + 3109378*p**2 + 4975040*p + 2487528 = 0. What is p?\nAnswer: -2, -1, 310941\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nineteen tenths of a litre?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 118 + 3*r + 3*r + 117 - 13*r + 9*r in the form l*r + q and give q.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1059*z + 302*z - 837*z to w*z + v and give w.\nAnswer: -1594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ecjj when four letters picked without replacement from ecccjccejecje.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -186, -5, 3 in decreasing order.\nAnswer: 3, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 121177.890085 + -121269.89. Let v = 92 + t. What is v rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 9 + 7 - 3*o - 2 - 5. Calculate g(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(390\/(-36))*45\/(-459).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -i**9\/126 + 7*i**5\/60 - 5*i**2\/2 + i. Let l(o) be the first derivative of t(o). What is the third derivative of l(r) wrt r?\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 9 = 1. Let d be (-26)\/(-42) + n\/(-6). Let u = -2 + 4. Which is the closest to d?  (a) u  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18\/2833 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 1\/19  (c) -1\/3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -8176.\nAnswer: -3\/8176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4*d - 8*d - 4 = 0, 2*p + 26 = 4*d. Let x = -949 + 950. Which is the closest to 2?  (a) 5  (b) x  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 - 7*x + 4. Let p be z(7). Let y = -51 - -136. Suppose -y = -p*t + 23. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 3) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 340\/(-1125) + -14*(-3)\/525. Let n = 26.7 - 32. Let g = -0.7 + n. Sort g, -1, o in decreasing order.\nAnswer: o, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*s - 7*s. Calculate the greatest common factor of s and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42 - 42. Solve z*p = -5*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.32 + -0.52. Put 1, x, -0.3 in ascending order.\nAnswer: -0.3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30\/(-20)*1956\/(-18) is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.01 - -0.01. Let u = -8.9 - -7. Let x = u - -1.9. Which is the second smallest value?  (a) -5  (b) f  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 3*h**2 - h - 2. Let z be d(2). Suppose g + g = z. Solve -5*p = l - 16, 2*l = g*l + 3*p - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7219*i**3*y**2 - 8*i**3*y*z + 51*i**3*z + 5*i**2*y**2*z - 5*i*y**2*z - 15*i*y*z - 15*i - 56*y**2*z wrt i.\nAnswer: 43314*y**2 - 48*y*z + 306*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-140)\/(-70)*(2 - 0 - 52\/(-8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16300 + -10791. What are the prime factors of j?\nAnswer: 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10235 + 18846. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 28*o**2 + 7*o. Let d(k) = -k**2 - k. What is -7*d(y) - m(y)?\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 93918*d + 93948. Determine c(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 260376900166 and -29.\nAnswer: 260376900137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -8*s + 36. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (0 + 1 + 2 - (-13 + -9 - -33))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 + 6 + -7 - (-1 - 213). Suppose -a = -6*k - 29*k. Solve 15 = -5*l + v - k*v, 0 = -2*l + v + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -8 + 4. Let d(y) = -21*y + 90. Let q be d(b). Put -4, -0.06, q in decreasing order.\nAnswer: q, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 9*t**2 + 10*t + 10. Determine k(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 3*l + 3. Suppose -29*k + 30*k + z = -5, 10 = -2*z. Calculate y(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/5)\/(r*r*r\/r**(8\/5)))\/(r**(1\/5)\/(r\/(r*r**(-3\/8)))))**(-46) assuming r is positive.\nAnswer: r**(299\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -8*c + 6. Is 10 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 3 - x**3 + 3*x**3 to q*x**3 + z*x + c + l*x**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/96 and 41\/234186?\nAnswer: 3746976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 55907 rounded to the nearest 100?\nAnswer: 55900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -5*g**3 + 25*g. Let b(m) = -m. Give 5*b(u) - d(u).\nAnswer: 5*u**3 - 30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165838 is divided by 78?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*a - 26, -4*a + u - 30 = -4*u. List the prime factors of 0*1\/2 - a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -1\/10, 0.59, -1\/5, 4 in decreasing order.\nAnswer: 4, 0.59, 2\/9, -1\/10, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 27523, 109570, 246317, 437764, 683911, 984758, 1340305?\n\"Answer: 27350*l**2 - 3*l + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z + 2. Suppose 2*a + 3*a - 30 = 0. Suppose a*v + 8 = 2*v. Let j be b(v). Calculate the greatest common factor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -20 - o - 2 - 4. Let n be c(-19). Sort 4, -2, n in descending order.\nAnswer: 4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.5 + -28. Which is the nearest to 0?  (a) u  (b) -2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-20))\/(((-81)\/(-30))\/9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u - 22 - 22 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 28, 32, 0, -86, -244, -492, -848, -1330?\n\"Answer: -3*f**3 + 25*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -386?\nAnswer: 1\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/5733 and 11\/39?\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 - z + 2. Let c be d(0). Let w = c - 1. Suppose -w - 3\/2*o - 1\/2*o**2 = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 PM and 8:41 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 336308?\nAnswer: 1008924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m - 5. Let k(c) = -117*c + 1076. Let l(n) = -6*g(n) + k(n). Calculate l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of r**7\/14 + r**3\/3 + 4*r. Find the second derivative of v(m) wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**8)*l**(3\/7)*l*l*(((l*l\/(l*l**(-20)))\/l)\/l)\/(l\/(l**(7\/5)*l)))**44 assuming l is positive.\nAnswer: l**(47476\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 87 + -74. Suppose -5*l - 17 = b, 6*l - l = b - z. Let n(c) = -9*c - 13. Let m(p) = -3*p - 4. What is b*n(q) + 7*m(q)?\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -624.9, 0.3, 4, -0.2 in ascending order.\nAnswer: -624.9, -0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/15 + 502*t**2\/15 - 168*t\/5.\nAnswer: 2*t*(t - 1)*(t + 252)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, g: 1, u: 5}. Give prob of picking 1 k and 1 g.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 0 = -4. What is the remainder when v*((-18)\/3 + -1) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.07 + -0.47. Let d = 37\/15 + -9\/5. Which is the nearest to 1?  (a) w  (b) d  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -103592 divided by 4?\nAnswer: -25898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2 = 2*x, 4*x + x - 4*i - 65 = 0. Let r = x - 4. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 166 (base 15) to base 4.\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**3 - 3*d**3 - 2*d - 3007*d**4 - 3003*d**4 - 6*d**2 + 6012*d**4 to h + y*d**3 + a*d + g*d**2 + x*d**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-27)*x*x*x**19)\/(x*x\/x**(-13\/5)*x)**(2\/23) assuming x is positive.\nAnswer: x**(-631\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a microsecond in nanoseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -150*q*s**2 + 191193073*q + 101*s**2 + 108*s with respect to s.\nAnswer: -300*q*s + 202*s + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -26dac - -6c?\nAnswer: -26d40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 2*u - 3. What is i(-8)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of -j**5\/390 - j**4\/13 - 20*j**3\/39 - 37*j**2 - 2. Factor m(r).\nAnswer: -2*(r + 2)*(r + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 322, 156, -10?\n\"Answer: -166*r + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.5, -6, -0.4, 2.\nAnswer: -6, -0.4, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*a - 3*d + 62 = 84, -4*a + a - 18 = -3*d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 33\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 2, 4*s - 22 = 3*v - 8. Let h be ((-6)\/(-12))\/(21\/18). What is c in -3\/7*c**s + 0 - 1\/7*c**4 + 1\/7*c + h*c**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 1 - 1) + 22 + -12 + (-31 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/93 and 55\/21.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of -j**6\/780 - j**5\/390 + j**4\/156 + j**3\/39 + 26*j**2. Solve q(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2891 - 2886. Let d(s) = -9*s - 1. Let q(t) = -8*t - 1. Give m*d(f) - 6*q(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w\/(w\/(w**(1\/2)\/w))))\/w)**(-14)*w*w*w**7*w**0 assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkknkkknkkkkkknkk?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 0. Put h, 15, 3 in decreasing order.\nAnswer: 15, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 586, 1234, 1832, 2380, 2878, 3326?\nAnswer: 3724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**2\/2 + 33*j\/2 + 31 = 0. Calculate j.\nAnswer: -31, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 149861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t + 69 = -4*f, 4*f - 2*f = -4*t - 38 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/7676 and 149\/606?\nAnswer: 23028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 55 - 58. Is (-3 - (-18476)\/q)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -1 - (8 + 20\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1364852*s**3 + 34*s - 21089 wrt s.\nAnswer: 8189112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m - 112 = -126 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 113261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3*i = -4 - 4, -4*i = 4*h + 24. Put h, -4, 1 in descending order.\nAnswer: 1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(85)*-2)\/(sqrt(605)*2).\nAnswer: 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 31*l**2 - 402*l - 24. Determine m(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of c*i*p - 34*c*i - 36*c*p + 7358*i*p wrt c?\nAnswer: i*p - 34*i - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 93670799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 15. Let r(n) = w*n**2 - 4 - 3*n**2 + 7*n - 2*n**3 + 4*n**2 + 3*n**3. Give r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t - 3 - 8*t + 0*t)*((-4 + 1 + 5)*(-2 + 4 - 3) + 14 - 1 - 8).\nAnswer: -9*t - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 1:30 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 72\/(-34) - (-2)\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + 0)\/(5\/245). Let p = 29 - t. What are the prime factors of (-18)\/(-15)*p\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -411 - -401. Let z = 1 + -3. Let m be 2\/(-5)*s\/z*-5. Solve -2*v - 3*v + m = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v = 5*a + 455, 12*a - 124 = -17*v + 21*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/17))**(-2\/33)*f**27\/f*f**(25\/3)*f assuming f is positive.\nAnswer: f**(6606\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -12*u + 7*u**2 - 3*u**3 + u**3 + 3*u**3 + 16*u - 6. Calculate the remainder when 23 is divided by d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 311 = -214. Suppose -58*i + z = -37*i. Solve -2 = 5*g - 0*l - 3*l, -i*l - 1 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4493585 divided by 5?\nAnswer: -898717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28.3 - 28. Let r = -5.07 - -0.07. Which is the nearest to o?  (a) r  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from qzhhoouhuojo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 156904174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + 6*j**2 - 3*j - 6. Let w be l(5). Suppose -i + 22 = -w*t, 0 = t - 5*i + i - 2. Let s(c) = c**2 + 4*c - 4. What is s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -4*w + 30. What is the third derivative of -w*h**6 + 12*h**6 - 5*h**2 + 3*h**3 - 3*h**3 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -11\/4, -3, -9\/43?\nAnswer: -9\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 3:27 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8423479*v**3 - v**2 - 19555*v - 76?\nAnswer: 50540874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**3 + 9*j**2 - 9*j - 17. Let k be q(-5). Suppose 2*b = 2*w - 0*b - 2268, k*b = 2*w - 2265. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -105*a**3*q**3 + 4*a**3*q**2 + a*q**2 - 104*q**3 wrt a.\nAnswer: -630*a*q**3 + 24*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -100.52715 to 1 dp.\nAnswer: -100.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g**3 - g**2 + 4*g - 4. Let l be s(1). What is the units digit of ((-719)\/l)\/((-6)\/12) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 n, and 1 r when three letters picked without replacement from vrwnvrnnrwvnn?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeaa when four letters picked without replacement from aaaaaaeaea?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, 0.1, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 75821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 d when four letters picked without replacement from duuuzym.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5206*p**3 + 5307*p**2?\nAnswer: -31236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b**3 + 64*b + 132*b - 3 + 52*b + 2.\nAnswer: 2*b**3 + 248*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*f - 29*f - 28. Determine s so that 0 + 0*s - 2\/7*s**f + 0*s**3 + 0*s**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 7:21 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -109 divided by -135910?\nAnswer: 109\/135910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, i: 3, w: 1, k: 7}. Give prob of sequence qi.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 5839.93 to the nearest one hundred.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 38178880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -0*k + 10. Let u be 2\/3 + (-35)\/(-42). Let l = u + -4\/3. Which is the smallest value?  (a) k  (b) -0.2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2710047 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*x - 0*x. Suppose 3*j - 34 + 19 = 0. What is the derivative of 1 - x*n**2 + 0 - j wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9571?\nAnswer: 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 56523201369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l**7)\/l**(-1\/4))\/(l*l*l*l\/l**(-7)*l*l\/((l**(-3)*l)\/l)*l)*(l**2)**(-44)*(l**(-4)*l)\/(l\/l**(1\/6)) assuming l is positive.\nAnswer: l**(-1195\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/4)\/g)**(-49)\/(g**(-4\/5)*g*g*g**8\/g))\/(g\/g**(-5)*g*(g\/(((g\/(g*g\/g**(-2\/17))*g)\/g*g)\/g))\/g*g*(g*g**5)\/g**0) assuming g is positive.\nAnswer: g**(12897\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1030 and 12187990.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*v - 7*v + 4*w + 22, -4*v - w - 43 = 0. What are the prime factors of 1\/(((-14)\/4130)\/(4\/v))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29\/963 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + x + 171. Let v be w(0). Let a(m) = -2*m**3 + 10*m**2 - 4*m + 115. Let o be a(6). What is the highest common factor of o and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -7*n - 4. Let z(v) = -35*v + 50*v - 14*v. Determine z(u(r)).\nAnswer: -7*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 137527 and 994.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 5*f + 4*f. Let k(l) be the second derivative of -1\/3*l**3 + 0 + 6*l + 0*l**2. Give i(k(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/6 + (-28)\/(-6). Let w = v - 1. Solve w*x - x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + 2a1?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 30 = -4*q + 2*j, -4*q = -2*j - 22. Let d(w) = w**3 - 9*w**2 + 2*w - 1. Give d(q).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-12)\/(y\/y**(-6\/5))*y\/(y**(2\/13)\/y)*y\/((y**(3\/2)\/y)\/y) assuming y is positive.\nAnswer: y**(-1411\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17929043 - 9?\nAnswer: -17929050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -40300 and -8279840213.\nAnswer: -8279880513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 8 = 3*t, -7*t + 2*t - 14 = -3*p. Let s be (-2)\/p*-1*-7 - 5. Solve -2*v - 9 = 3*r + s, -5*r = 3*v + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/123 or -1897211?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ijiit. Give prob of sequence itj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7321499*j**2 + 4*j + 12728024 wrt j?\nAnswer: -14642998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (200\/(-960)*16)\/(3\/(-27)*2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -38*n + 2509. Determine o(13).\nAnswer: 2015","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f = 3188 - 4964. Calculate the smallest common multiple of 332 and f.\nAnswer: 12284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13012204 (base 5) to base 7\nAnswer: -1033066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of c**5\/30 - 2*c**2. Let d(h) = 6*h**2. What is a(d(u))?\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 42 = -f, -l + 4*f = -1 - 2. What is the remainder when 44 is divided by (69\/l)\/(2\/(-6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -117*t**4 + 110*t**2 wrt t?\nAnswer: -2808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**4 + 10*h**3 - 150*h**2 + 200*h - 64 = 0.\nAnswer: -8, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3\/8 + 9891*r**2\/8 + 9271935*r\/8 + 1934335257\/8.\nAnswer: -3*(r - 4091)*(r + 397)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3474.6514 rounded to the nearest 10?\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/5 + 4364*x\/5 - 4362\/5.\nAnswer: -2*(x - 2181)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1\/229 + 1143\/458. Which is the closest to -4?  (a) n  (b) 0  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6897151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*x - 41*x + 133*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, x: 3}. What is prob of picking 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1032173409?\nAnswer: 3, 344057803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/16 + 4746\/48 + 5. Calculate the greatest common divisor of 260 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 2*w + 2. Suppose 51 = 4*y + 6*t - t, -3*y - 4*t = -38. Calculate the smallest common multiple of m(3) and (y + 0)*19\/38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1908, -1943, -2002, -2085?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + i + 15. Suppose 25 = i*l, -5*f + l = 575 - 185. Is (-1)\/4 - f\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cw when two letters picked without replacement from nwwccnnnwcnwwc?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -51*m**4 + 5*m**3 - 35*m**2 - 14. Let s(d) = d**4 + d**3 + d**2 - 3. Let v(o) = 5*s(o) - x(o). Find the third derivative of v(q) wrt q.\nAnswer: 1344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 677309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-14)*(-2077)\/1474 + 2\/(-7)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 135798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1000101 (base 2) to base 3\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-980)\/(-1225))\/((-3)\/((-15)\/(-22)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2b01 - 1?\nAnswer: 2b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10743120 divided by 172.\nAnswer: -62460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 157226266*c**3*q + 112*c*q - 2064582*c wrt c.\nAnswer: 943357596*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2479891\/1340 - -7401\/4. Let d = a + 1\/67. What is the third biggest value in 5, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*t - 0*t. Suppose 4*k - t - 14 = 0. Factor -z**k - 3*z**5 + 3*z**5 + z**3.\nAnswer: -z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) -0.4  (c) 0.1  (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33545736?\nAnswer: 2, 3, 7, 101, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.1, 0.2, 10, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3135.3703 + 3135. What is s rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 9:47 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -40555543 - 4?\nAnswer: -40555551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-140 + 150 + 2*g - 3*g)*(-g**2 - g**2 + 4 - 2).\nAnswer: 2*g**3 - 20*g**2 - 2*g + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1570.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-989)\/(-3))\/23 - 4\/12\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60 - -8) + (-17 - (10 + -56)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33 - 34. Let n(g) = 6*g - 3. Let i(o) = 6*o - 4. Let v(l) = 4*i(l) - 5*n(l). Calculate v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**8*u)\/(u\/(u*u\/((u*u\/(u*u*u**(3\/2)\/u*u))\/u))*u)*(u**(-2)*u)**(-31))\/((u**(-1\/7))**(-9\/2))**45 assuming u is positive.\nAnswer: u**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + 0 + 0)*(-3*n + 3*n - n) + (-549 + 289 + 262 + 363*n**2)*(-2*n + 2*n + n).\nAnswer: 364*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together 633542 and 461.\nAnswer: 634003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 14. Let s = p - -5.4. Let j = s - 0.1. Which is the closest to j?  (a) 0.4  (b) 3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 8:20 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-6))\/(((-18)\/(-27))\/(85*-10)). What is the highest common divisor of a and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16\/5*s + 2*s**2 - 2\/5*s**3 - 24\/5.\nAnswer: -2*(s - 6)*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/9 - 10640\/6840.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2910*i + 2053*i - 39716 = 21988 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/30*((-22)\/(-44))\/((-24)\/(-192)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 7035*b = 7032*b - 24, 0 = 2*z - 3*b - 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -220, -198, -154, -82, 24?\n\"Answer: a**3 + 5*a**2 - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 + 7*l**2 + 8*l. Let x be n(8). Suppose j + 35 = 4*w, 3*w + 15 = -2*j - x*w. Is ((-5)\/j)\/((-2)\/(-84)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 - -27. Suppose q*a - a = 0. Suppose -6*w + 2*w + 8 = a, -y - 4*w + 19 = 0. What is the lowest common multiple of 1 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*(-10)\/(-360)*12. Let x = 20\/17 - 66\/85. Which is the biggest value?  (a) v  (b) x  (c) 0.3  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-3))**(-43)*(k**(-3))**(-2\/105) assuming k is positive.\nAnswer: k**(4517\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-12)*-2*7\/42. Is w greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d**2 - 4*d**2 - 5*d**2 + (d + 2*d - d)*(d + 0 + 0) - 12 + 13 - 3*d**2 + 2*d**2 to the form l*d**2 + y + a*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 189a2 (base 11) to base 5\nAnswer: 1321430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 - -201. What is the remainder when a is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1153 + 32.0247. Let z = 32 - c. Let d be 1 + -1 - 4\/(-10). Put d, 0.5, z in increasing order.\nAnswer: z, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 71 - 2?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.447152 centuries in months?\nAnswer: 7736.5824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 4*g**2 + 13*g - 107. Let x(b) = b**2 - 13*b + 49. Let h be x(3). What is the hundreds digit of u(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 6*u**2 - 2026*u + 1328. Determine l(337).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(1\/15))**(-33)\/(((h\/h**(-1\/2))\/h)\/(h*h**18)) assuming h is positive.\nAnswer: h**(-497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-69)\/(-1)*(-103)\/(-309)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100002211001 (base 3) to base 4.\nAnswer: -223300000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -10*k**2 + 38*k + 8. Let q be v(4). Solve -3*s = -q*s - 15, 0 = -5*g + s + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1758, 7058, 15898, 28272, 44174, 63598?\nAnswer: 86538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 PM and 2:51 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence td when two letters picked without replacement from {d: 5, n: 8, t: 2, u: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 1)*(1 - p + p - 2*p)*(-102 + 102 + 43*p) in the form z + q*p + t*p**2 and give t.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -5*z**3 + 23*z**2 + 60*z + 29. Let b be f(-25). Suppose 0 = -0*s + 19*s - b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 240 times 1.98\nAnswer: 475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 28637657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 8. Suppose 0 = 659*h - 680*h + 84. Suppose h*g - 20 = m*g. Calculate the lowest common multiple of g and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3174 and 143.\nAnswer: 45.3882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - 0 - 9) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26) + sqrt(3744) + (1*sqrt(3744) - sqrt(3744)))\/sqrt(200).\nAnswer: 13*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/10)\/((-1)\/15). Let l = s + -8. Solve 3*v - l = 3*k + 17, -2*k = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/3)\/(5\/(-2)*2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 12*x - 7*x. Suppose -x*t + 2*t = 0. Suppose 4*k + 20 = t, k + 5 - 16 = -4*c. What is the smallest common multiple of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 355*o**4 + 15128*o**3 + 91661*o**2 - 418748*o - 5916 = 0.\nAnswer: -34, -58\/5, -1\/71, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.1289 * 3\nAnswer: 0.3867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vxv when three letters picked without replacement from {g: 3, v: 10, x: 2, a: 2, u: 1, i: 1}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*x + 69*x + 99 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6806, 6804, 6800, 6794, 6786?\n\"Answer: -c**2 + c + 6806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9408, 107, 25938, 76245, 159188, 282927, 455622?\n\"Answer: 1360*l**3 - 2*l**2 + l - 10767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (121*x**3 - 266*x**3 + 122*x**3)*(5*x**2 - 4*x**2 - 3*x**2).\nAnswer: 46*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 8*y**2 + 7*y + 12. Let x be u(7). Let n be 16\/6*6*x. Does 20 divide 3*(-9)\/((-81)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of q**8\/336 - q**7\/35 + q**6\/10 - q**5\/6 + q**4\/8 - q**2\/2 + 11*q + 57. Let w(u) be the second derivative of i(u). Factor w(j).\nAnswer: j*(j - 3)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -8874, -8810, -8724, -8604, -8438, -8214, -7920, -7544?\n\"Answer: 2*j**3 - j**2 + 53*j - 8928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-80) + (-22425)\/1500?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122 is divided by 94.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18696 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + 12*h**2 + h + 6. Let l be n(-12). Let s be ((-9)\/l)\/(27\/3960). Let m be 3\/(-12) - (-81)\/4. What is the highest common divisor of m and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjmm when four letters picked without replacement from vmxjcxcvmxvxvjcjvmvc.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o\/((o**(4\/5)\/o)\/o))\/o*o*o*o**(6\/7)\/o*o*(o*o**(-1\/5)*o)\/(o*o*o\/(o**3\/o)))\/((o**1*o)**29)**(-11\/4) assuming o is positive.\nAnswer: o**(2329\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61127 divided by -11.\nAnswer: 5557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 - 24\/(-20)) + 34\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -32\/7  (b) -0.2  (c) -2\/5  (d) -1\/3  (e) -165  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 5*d**3 + d**2 - 8*d**2 - d**2 + 6*d. Let c(p) be the second derivative of -3*p**5\/10 + 3*p**4\/4 - 7*p**3\/6 - 128*p. Calculate -6*c(r) - 7*g(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {m: 5, e: 6, q: 5, b: 4}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 74 and 639767.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/2)*u*u)**(4\/5))**(16\/3)\/((u**(-3\/4)\/(u\/(u*u**(-1))))\/((u\/u**(-1))\/u)**(-1\/29)) assuming u is positive.\nAnswer: u**(4707\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46.3445cm to micrometers.\nAnswer: 463445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 161\/294*3 + 35\/(-14).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*d + 44*d - 1260. Suppose -43*l + 174 = d. What is the remainder when 66 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-1\/2)*o)\/o**(-5))\/(o*o\/((o*o**(-1\/4))\/o)*o**(1\/3))*((o**1)**(2\/27))**(-35) assuming o is positive.\nAnswer: o**(143\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -595 divided by -595\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s**2 + 0*s + 0*s)*(-2*s + 4*s - 3*s) + (-3*s**3 - s**3 + s**3)*(0 + 1 - 4) - 3*s + 3*s + 2*s**3 to b*s + t*s**2 + u*s**3 + l and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/5 - 3\/(-5). Suppose -3*n - v = -4*n. Suppose 0 = 2*y + a - n, a + 1 = 2*y - 0*a. Solve 5*j + 9 + y = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -112 + -101121?\nAnswer: -101233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 2*v - 28 = 0, -3*h + 6 + 18 = 3*v for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/9)\/(12\/18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.3  (b) 10\/11  (c) 1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*c**2*s**3 - 75552382*c**2 - 1263928*c*s**3 wrt s.\nAnswer: -12*c**2*s**2 - 3791784*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.5  (b) 16  (c) 9.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 10:22 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*q = 3*q + 1176. Calculate the greatest common divisor of q and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34 + -34. Suppose i = 10*n + 43 - 3. Let b be 2\/(((-16)\/n)\/(3 - 1)). Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 29 = -5*s, 8 = k + s. Suppose 0 = k*n - 8 - 4. Let q = n - -7. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46 + -43. Let r be 6*1*(-2)\/(-3). Let m be ((-4)\/(-2))\/(r\/6). Solve 5*k = 2*p - 33, k + m*p = -2*k - v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 3*y**2 - 3*y + 3. Let q be m(-4). Let k be ((-72)\/54)\/((-4)\/150). Suppose 6*c + 50 - k = 0. What is the smallest value in q, c, 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -15. Suppose -2*t = -4*t + 4. Let l = t - r. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) -3  (b) -280  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1996454 divided by -1?\nAnswer: 1996454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*l**5 + 6*l**4 + 50*l**3 - 126*l**2 + 98*l - 24 = 0. Calculate l.\nAnswer: -4, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 - 3 + 2*q**2 - 2*q**2 + 10*q - 3. Let t = 29 - 20. List the prime factors of x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15.064 + 0.036. Let i = j - 15. Let v = -5 - -2. Put v, 0, i in descending order.\nAnswer: i, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 15*j + 6. Let l be -5*(-3)\/(30\/8). Let x(v) = 3*v + 2. Calculate the least common multiple of n(-15) and x(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 8, j: 5, i: 4}. Give prob of sequence uii.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z + 6*z**2 + 5*z**2 - 9 + 4*z**2 - 11*z**2 + z**3. Let r be o(-3). Solve 4*a**3 - 8*a**2 - r - 9 - 12*a + 12 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 915629 and 20273?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5542 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-4 - -1) - -1 - (424 - 469).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 627.9783ug to kilograms.\nAnswer: 0.0000006279783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30\/(-9)*(-60)\/8 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24223 - -24707. Calculate the remainder when a is divided by 82.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 1\/11  (b) -0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, -4\/209, -3, -239?\nAnswer: -4\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express l**2 - 5*l + 4*l**2 - l**2 + 12*l**2 - 17 - 18*l**2 as x + z*l + w*l**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12.4 and -2?\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51 - (17 + (69 - 14))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11 or -0.72?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -662641 + -127?\nAnswer: -662770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 915984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of 3*u**4\/4 + 2*u**3 - 2*u**2 + 2*u - 50. Let z(p) = 6*p**3 + 13*p**2 - 9*p + 4. Determine -13*b(f) + 6*z(f).\nAnswer: -3*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1401\/34091 + 7881\/73\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 185 + 46 = 11*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 13*f = 16*f - 13, 2*n - f + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 61*q + 3. Let g(s) = -204*s - 10. Let n(t) = 3*g(t) + 10*v(t). Let d(h) = -704*h. What is n(d(j))?\nAnswer: 1408*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i - 1. Let q be m(-2). Let s be (-4)\/(-3 + 1)*q. Let p(o) = 2*o - 1. Let y(c) = c. Let u(t) = 3*p(t) - 2*y(t). Determine u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5.9  (b) 120  (c) 1  (d) 380\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - u**2 + u + 4. Let n be g(0). Let o be ((-220)\/25)\/(4\/(-10)). Suppose -n*c + 2 = -o. Is c greater than or equal to 29\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -1 + 4 - (-2 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-36)*-1*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 0*w - 78. Suppose -36*f = -28*f - 120. What is the remainder when w is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - b - 9. Let l(x) = x**2 + x + 9. Let d(f) = -4*a(f) - 5*l(f). Suppose -5*v + 9 = -2*v. Suppose 0*h = v*h. Determine d(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 744, -62 in ascending order.\nAnswer: -62, -13, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3828691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 56*h**2 - 10 + 1 in the form u*h + y*h**2 + f and give y.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -42 (base 6) to base 15\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 25036 + 299?\nAnswer: 25324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2\/3))**(-4\/13)\/(t*t\/(t**(-2\/7)*t))**(-2\/31) assuming t is positive.\nAnswer: t**(-166\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -654 >= -1139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*r + 88*r - 1024192 = 0. Suppose 0 = 48*f - 47530 - r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -5*q**6\/2 + 3*q**4\/2 - 70*q**3\/3 + 370. What is the third derivative of a(h) wrt h?\nAnswer: -900*h**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 1 = 4*j + 3*o, -2*o - 24 = -2*j. Suppose 24 = -q + 5*q. Calculate the remainder when 26 is divided by (j\/(-2))\/(q\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 760 - 761. What is the nearest to 2\/9 in -2\/11, 0.5, 2, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 31*x**2 + 32*x + 5. Give o(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -383*w - 678. Let c(y) = 384*y + 681. Let x(v) = -3*c(v) - 2*n(v). Find the first derivative of x(t) wrt t.\nAnswer: -386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1422725987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 97*q**2*r**2*t**2 - 23*q**2 - 17*r**2*t**2 - 464*r with respect to q.\nAnswer: 194*q*r**2*t**2 - 46*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 102811.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 3028*a + 11. Let c(z) = 1009*z + 4. Give 11*c(w) - 4*p(w).\nAnswer: -1013*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x + 1. Let u(w) = 78*w**2 + 1326*w + 1326. Give -7956*a(m) + 6*u(m).\nAnswer: 468*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6379 is divided by 6359?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43\/2 + -297\/14. Sort v, 5, -0.2 in increasing order.\nAnswer: -0.2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (540\/630)\/(((-4)\/896)\/((-1)\/(-6)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 40, 168, 382, 682, 1068?\n\"Answer: 43*u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) -36  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of -3*j**5\/10 - 31*j**4\/4 - 642*j**2. What is the second derivative of f(y) wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q. Calculate f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 408 - 290. Suppose -l*n + 124*n = 2238. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-42)\/(-46 - -45))\/5. Factor 1\/5*a**2 - 19\/5*a - k.\nAnswer: (a - 21)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -73*j - 69. What is the remainder when g(-8) is divided by 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/8 - (-175)\/(-392). Let d = 1\/14 + c. Calculate the common denominator of 35 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -216.12944 + 216. Let d = 0.43 - 0.3. Let c = d + x. What is c rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7181022319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 13, -4, 5 in decreasing order.\nAnswer: 13, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 111  (b) -55  (c) -0.5  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -378 - -377.6. Put i, 4, -7, 2\/7 in increasing order.\nAnswer: -7, i, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.07 and 5080912.\nAnswer: 5080911.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 - 1 - 3*z**3 + 2*z + 2*z**3 - 2. Let p be f(2). Differentiate -2*d + 1 + 4*d + p wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63 and 15792?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-14)\/8)\/((-2)\/248). Let c = l - 150. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136 is divided by 56 + -2 + 8 - -8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 376460 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 108 + 227 = 0. Suppose 2*r + 2*l + 1092 = -3*r, -2*r - 431 = -5*l. Let p = r + u. Is 116 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.043*-0.78.\nAnswer: 0.03354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 2:45 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-9)*0)\/(-1). Is 3\/40 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1021 (base 9) to base 2\nAnswer: 1011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -330 + 316. Let u be 2 + -7*6\/g. Solve 0 = 4*v + r - 17, -v + 34 = 2*v + u*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*q**3 + 6*q**2 - 90*q**3 - 2 + 93*q**3 + 64*q - 6*q**2 - 2*q**2 as n + d*q + g*q**2 + b*q**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 + -20. What is the closest to -1\/3 in 1\/11, -5, a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 486651188 to the nearest integer?\nAnswer: 22060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**4 - 157*f**3 - 2922*f**2 + 6480*f = 0.\nAnswer: -135, -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 52 + -41. Suppose 5 = -2*r - o. Let h(x) = 2*x + 16. Let n be h(r). Is n at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289877587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -185 - -198. Which is the third smallest value?  (a) r  (b) 2\/3  (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4 + 12*p**2 - 4. Let j(i) be the first derivative of i**3\/3 - 3*i**2\/2 - 3*i + 3. Let z(g) = -g - 1. Let k(l) = -j(l) + 3*z(l). What is v(k(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -3*p**4\/8 - 47*p**3\/2 - 27*p**2 + 3*p. Let w be f(-16). Put 1, -2, w in descending order.\nAnswer: w, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15348 divided by -5.\nAnswer: 15348\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -5a3 (base 15) to base 5\nAnswer: -20103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*v + 4488 - 13412. What is the highest common factor of 485 and v?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38.42 + -3.38. Let k = o + 42. Which is the smallest value?  (a) 2\/9  (b) k  (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*o**2 - o**2 - 4*o**2 - 25*o**2.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3326, 3278, 3146, 2888, 2462?\n\"Answer: -7*i**3 + i + 3332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 244 - 244.1. Let q = 0.01 - 0.31. Which is the nearest to m?  (a) q  (b) -4\/5  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 120, 94, 44, -36, -152, -310, -516?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from rrwrrrrwrrwrrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -13416, -26829, -40240, -53649, -67056, -80461, -93864?\n\"Answer: o**2 - 13416*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -7 - 4*d + 0*d - 2*d. Let p(r) = 33*r + 46*r + 41*r - 161*r + 2 + 43*r. What is -11*p(u) - 4*x(u)?\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of o**2 - 5. Let g(p) = 116*p**2 + 45*p + 55. Let h(a) = 9*a + 11. Let z(f) = 2*g(f) - 10*h(f). Determine z(u(q)).\nAnswer: 928*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 15*a**3 - 5*a**2 - 3*a - 4. Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71940 is divided by 249.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/825 + (-3003)\/68607.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 18. Let g = 14268232 + -14268239.999981. Let t = g - r. What is t rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*t + 2*c - 2, -t + c + 8 = 0. Suppose 0 = -d + t + 1. What is the closest to -2 in d, -2\/5, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -408 + 413. Let x(z) = -z - 2. Let n be x(-2). Which is the second biggest value?  (a) -7  (b) n  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7681 is divided by 110.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 4:25 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28 + -13. Is (y*1)\/1 - 2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 5*m - 41 = 0, 0 = -m + 2*m + 5. What are the prime factors of ((-550)\/(-33))\/(o\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fd when two letters picked without replacement from {g: 2, f: 1, o: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 5 = 8*n. Calculate the greatest common factor of n and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 9008.92503 microseconds?\nAnswer: 0.000000014895709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -11*h**3 + 10*h**2 + 9*h - 10. Let c(d) = 9*d**3 - 8*d**2 - 8*d + 9. Let a(t) = -5*c(t) - 4*f(t). Give a(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/8*8\/40.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-6) - (-83)\/2. Let q be 2565\/45 - 14\/1. Are q and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(-1) - 5 - (-16 + 9). Suppose 7 = -c*z - 5*b, 4*z = -3*b - 2*b + 1. Solve 19 = -2*y + 2*o + o, z*o = 2*y + 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.138 - 0.036. Let o = 0.158 + b. Which is greater: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-50) + (-44575149)\/(-628350)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 3 + -1 + (430 - 149) + -166.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1*-13)\/(8\/(-40)). Suppose -o = -6*d + 19. Is d smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51785 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 1. Let r be i(-2). Let k(a) = a - 2. Let y be k(r). What is the remainder when 23 is divided by y\/(-2 - (-26)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36 + -29. Let f(a) = -a**2 - 8*a - 8. Let w be f(-6). Find the second derivative of -2*c + 8*c**w + 4*c**4 - s*c**4 wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161 = -10*f + 201 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 8 = d. Let m be 27 + d + -6 - 0. What is the greatest common factor of 189 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 987*0.5\nAnswer: 493.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*u = -16*u + 125 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (162 + 184 + 184)*(b**2 + 2*b - 4*b**2 + 2*b**2).\nAnswer: -530*b**2 + 1060*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from comcccccomoc.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - (15 + -38)) + 21 + (5 - 9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 27448300 or 27448304?\nAnswer: 27448304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x*x**(-6\/5)*x**(3\/4)*x*x*x**3\/x**(-3\/4) assuming x is positive.\nAnswer: x**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1627*l**2*q**2 + 3*l**2*q - 4*l**2 - 4*l*q - q**2 + 3*q wrt q?\nAnswer: 3254*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86 = -3*p - d + 119, -5*p + 343 = d. Let x = p + -67. Let c(m) = -m**3 + 4*m**2 - 2*m. Let k be c(2). Solve -j - k = -x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33386 divided by -82?\nAnswer: 16693\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 5:12 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by 62.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c4 - 4?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7671083 rounded to 2 dps?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) 3  (c) 0.17  (d) 1952\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 17) + -80 - (-2 + (0 - (-1 - -1)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 26*i**2 + 7*i + 64. Is w(19) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + (2 - 0) + -1. Let j = -5.1 + 0.1. Let f = 2 + j. What is the third biggest value in 0, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6023 + -2563. Suppose 0 = -2*i + 4*u + 2074, -3*i - 2*u + w - 333 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060548 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0121 + -2.\nAnswer: -2.0121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrfdn. Give prob of sequence fd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**2 + 4*l + 1. Let i(q) = q**2 + 5*q. Let m(t) = -3*i(t) + 2*v(t). What is m(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3a24 - -725?\nAnswer: -32aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4121 + -2344?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7750, -30233, -67704, -120163?\n\"Answer: -7494*n**2 - n - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -88.5357 rounded to 0 decimal places?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 192100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - ((-4)\/(-1))\/4. Let j(k) = 11*k + 2*k**2 + 5 - 5*k**l - 2*k**2. Let w(p) = p**2 - 2*p - 1. Let b(d) = -4*j(d) - 22*w(d). Find r such that b(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 745 by -745.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/5 - 66\/(-10). Suppose 12*i + 7 = 5*i. Let m be 2 - (i - (1 + 2)). Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i**2 + 4*i - 14*i**2 + 2*i**2 - 4*i**2 - 3. Let s be a(1). What is the remainder when 52 is divided by (-1)\/(-6)*-3*s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.5  (b) 5  (c) 8\/5  (d) 158  (e) 22  (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 - 15. Suppose -5*u + 13 = -s. Suppose 5*f = -4*n + 71, 0 = 2*n + u*f - 4 - 36. Calculate the smallest common multiple of n and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/28*3*40\/(-315)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 20, 2*q - 5*q + 11 = -2*h. Let b(c) = 2*c**3 + 25*c**2 - 14*c - 11. Let l be b(h). Solve 2*y + 5 + 7 = 4*r, -l = r + 2*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(756)\/(sqrt(12) + -5*sqrt(48)\/sqrt(4)))\/(sqrt(729) + -4*(sqrt(729) + 1*sqrt(729))).\nAnswer: sqrt(7)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 363 - -1946. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + i**2 + i - 1. Let q be k(1). Suppose q = o - 40 + 7. Suppose 2*p + p - o = 0. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/6 + 1\/(-21). Let o be (-3)\/(-12)*(-344)\/(-817). What is the second biggest value in 0.1, o, -1\/2, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -7*s**2 - 13*s + 57. Let v(f) = -3*f**2 - 5*f + 21. Let r(o) = 3*h(o) - 8*v(o). Determine r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001 - -101001101?\nAnswer: 100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000186468 to six dps.\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117106394 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 5*u - 113, 3*h = -46*u + 50*u + 38 - 123 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + 2. Let i be w(4). Let n be (0 + 2 + -3)*6. Let a = i + n. What is the second biggest value in a, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/616 and 83\/560.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*c - 14*c - 15*c.\nAnswer: -37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 3*m**3 - m)*(595*m - 792*m + 2 - 2) + 31*m**4 - 10*m**2 + 10*m**2 + (3*m + 0*m - 2*m)*(2*m**3 + 2*m - 2*m).\nAnswer: -558*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k + 2*k + 11 - 11 + 5*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j**2 - 1. Let t be -4*2*(-5)\/20. Let b(l) = 3*l**2 - 7*l**2 - l + 5 - 6*l**2 - 10. Give t*b(d) - 11*g(d).\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -207656 (base 9) in base 15?\nAnswer: -269e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3\/4 - 2162027*y**2\/4 + y\/4 + 2162027\/4 = 0. What is y?\nAnswer: -2162027, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -308b7 + 1?\nAnswer: -308b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l**2. Let a(h) = h - 6. Let k(g) = -3*g + 13. Let d(s) = 9*a(s) + 4*k(s). Let v(y) = -10*y - 7. Let z(r) = -7*d(r) + 2*v(r). Give z(b(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, r: 3}. Give prob of picking 1 e and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -984.38 + 7.38. Let b = 977.587 + i. Round b to 2 dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8829.35 rounded to the nearest ten?\nAnswer: -8830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (25 - 23 - 17)*(-4*q**2 + 4*q**2 - 2*q**2 + (-2*q**2 - 2*q**2 + 3*q**2)*(-5 + 4 + 8)) in the form s*q**2 + k + i*q and give s.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38381250 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 493.0197 times -126\nAnswer: -62120.4822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-640)\/(-416))\/(56\/52)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 114*x**2 + 10*x - 36. Let a(m) = 2*m**2 - m + 4. Determine 8*a(b) + i(b).\nAnswer: 130*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of h**6\/3 - 3*h**5\/2 + 5*h**4\/2 - 5*h**3\/3 + h\/2 + 4. Factor t(u).\nAnswer: (u - 1)**4*(4*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ayya when four letters picked without replacement from yyuauaauuaamamuaau?\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -5*s - 20. Let o(v) = v**3 + 4*v**2 - 2*v - 4. Let i be o(s). Suppose y = -5*u - 20, -y - 5 = 2*u - 0*y. Sort 1, i, u.\nAnswer: u, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -525*a**2 - 9*a + 6. Let c(b) = -783*b**2 - 13*b + 9. What is -5*c(p) + 7*y(p)?\nAnswer: 240*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*l + 9152 = 4645 + 4603 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 932509456 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-6))\/((-624)\/(-9360))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1483, -2959, -4433, -5905, -7375?\nAnswer: -8843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0222 and -64?\nAnswer: 63.9778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*y**2 + 25*y**2 + 8776 - 9916 - 2840*y.\nAnswer: 5*(y - 114)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 912425 and 2025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/6  (b) -3  (c) 3  (d) -4\/2613  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 9:02 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 12:24 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.312304 rounded to zero decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 52\/(104\/88 - 1). Calculate the common denominator of 1 + -3 + 69\/(-6) and 1*-7 + 1170\/z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3197 + 3196. Put 15\/8, d, 4, 0 in increasing order.\nAnswer: d, 0, 15\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**2 - 2*k - 2. Let z be 11\/(44\/24)*5\/(-15). Give g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-104)\/(-28) + 2\/7. Suppose 0 = v*z - 0*z - 72. Suppose 5*s + 38 = g, s = 2*g + 2*s - 32. Calculate the lowest common multiple of z and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 - 283a2?\nAnswer: -2839a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -1) + 1\/1. Let g = 164\/3 + -54. What is the nearest to 1 in -4\/3, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -33333*o**3 - 9*o**2\/2 - 10*o - 1. Let r be y(10). Round r to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4))**(1\/3)*p**(3\/2)*p**11 assuming p is positive.\nAnswer: p**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.92688 * 5.\nAnswer: 29.6344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19830199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -13*l**3 + 4*l**2 - 5*l + 3. Let t be w(3). Let v = t + 809. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -165982 and 0.005842804.\nAnswer: -165981.994157196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5*p + 15 = 0. Suppose 0 = q + 2*q - 5*b + 8, -3*b = -12. Suppose -2 = l, 27 + q = -5*d - 3*l. What is the biggest value in -0.3, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + 3*m - m)*(4 - 5 + 3) + 2*m + m + 4*m + 6 - 39393*m - 2 + 39410*m.\nAnswer: 28*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 20 = -127*a + 126*a, 0 = -4*a + 3*t + 12. Let k = 3 - 3. What is the nearest to k in a, -2, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 16283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/120 and -113\/41400.\nAnswer: 41400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 63209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4875 or 4870?\nAnswer: 4875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -8*r + 13340. Suppose 3*q + 2131 = r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -57 - -88. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 94\/(-24) + (-14)\/168. Put 0, 439, d in decreasing order.\nAnswer: 439, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*r - 4*r + 55 + 6*r + 11*r to the form m + b*r and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 3*n - 5*n**2)*(21 + 1 + 16).\nAnswer: -190*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*i - 14 = 66*i. Let r(a) = a + 15. Let p(l) = 1. Let g(t) = 5*p(t) - r(t). Let s be g(-15). Solve 0 = -s*n - i - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from bblllbb?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k - 14. Let i be m(8). Suppose 168*l + 21*l - 378 = 0. Solve -3*h = -l*h - i, -h - 1 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 140382028 to the nearest integer?\nAnswer: 11848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 + 16 - 6 - j - 3*j**3 - 11 to the form l*j**3 + n + k*j**2 + g*j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.3 + 2.05. Let y = -0.05423 + 0.80053. Let o = w - y. Round o to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, r: 4}. What is prob of picking 1 r, 1 d, and 1 g?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - 185)*174\/(-1044). Solve 3*o - 14 = 5*y - j, -4*y - 4*o = 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/3, -3, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-33) + 444\/22. What is the tens digit of r\/((1 + 0)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21397 - 1758. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -15*y**2 - 34*y - 14. What is g(-9)?\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 90420.811 + -81967.72. Let h = -8441 + x. Let a = h - -0.109. What is a rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.1 and 249521949.\nAnswer: 249521947.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 247 + -171. What is the remainder when p is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/5)\/(2\/(-5)). Let m be 1\/2*(-12 + 0). Let w = m + 10. Solve y - w*d - 5 - 6 = 0, 7 = 2*y - t*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11977 divided by -59?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7865 = 7865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 739127?\nAnswer: 43, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-1 + -4) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.05, 2.2, 1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -614  (b) 0.05  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2350 and 292550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 38, 124, 256?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 344 - 190. Determine y, given that 3*y**2 - 178*y + p*y + 44 + 4 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 10. Let l = f + 17. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.8895*-36\nAnswer: -32.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -5*d**2 + 30*d + 6. Let i be j(6). Let k be (-1 - 0)\/(2\/i). Put -5, 3, k in decreasing order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 + 25. What is the remainder when 47 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 9*y**2 + 8*y + 9. Let z be j(8). Suppose -z = 15*k - 18*k. Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -96 + 105. Suppose 2*d - l*d + 35 = 0. Solve 4*f - d*j = 6, 5*j = f - 6*f - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.159 + 0.051. Let z = 25430 + -25429. Does z = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 53 + -52.8. Which is the nearest to 0.02?  (a) x  (b) -5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3674 - -3678. Let u(c) = 5*c + 2. Let f(d) = -2*d - 1. Give n*u(r) + 11*f(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3274610 divided by 654922?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -7*h**3\/3 + 4*h**2 - 5*h + 7. Let t(j) = -5*j + 3. Calculate 6*p(b) - 17*t(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11966 + 12097. Solve -23*p + i = 62 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-19)*v)*v*v\/v**(-23))\/(v\/v**(-9\/4)*v\/v**(-3\/14)) assuming v is positive.\nAnswer: v**(1107\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 29. Let w(q) = 2*q - 1. What is w(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 369*d - 8 - 374*d + 4. Calculate the remainder when 197 is divided by g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(168\/49))\/(21\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 130 + -80. Solve -3*q - 2*q = 5*k - v, 4*k - 30 = -2*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2366108495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 205002034 (base 7) to base 13\nAnswer: 2683c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - w - 6028, 5*a - 2*w - 9484 - 5586 = 0. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {w: 6, l: 5, u: 1, y: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4244 (base 5) to base 7.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1033, 4165, 9385, 16687, 26065?\nAnswer: 37513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (93\/(-6))\/((-2)\/(-27)). Let x = 208 + a. What is the third biggest value in x, 1, 3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.05 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -123  (b) 4  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 405457 is divided by 151?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -1223*f**2 + 18*f + 786. Let l(r) = 2448*r**2 - 30*r - 1572. Let d(x) = 3*l(x) + 5*t(x). What is the first derivative of d(n) wrt n?\nAnswer: 2458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**2 + s + 4. Is 18 a factor of u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4763620 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 3*g**2 - 3*g - 4. Suppose 5*c + 3*v = -6, -3*v + 7*v = -c + 9. Calculate f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2442961985 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/12*-7 + 1. Let d = -5 - -6. Which is the closest to 1?  (a) d  (b) -3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8968567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -210313?\nAnswer: 210313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 150 divide 205154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of -y**5 + y**4\/12 + y**3\/6 - y**2\/2 - 168*y + 3. Let p = -17 + 18. Calculate x(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2964 - 2965. Sort -20, i, 21 in descending order.\nAnswer: 21, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -16142492793363\nAnswer: -16142492793358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 364434697 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - 1 - (-11 - (-42)\/6). Solve -z*d - 10 - 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 3*i**2 - 3*i - 4. Let n = 0 + 3. Let k(h) = 6*h**2 - 5*h - 7. Let v(m) = n*k(m) - 5*c(m). Differentiate v(t) with respect to t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vfrpvfpfpnfffvfpv. Give prob of sequence nf.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72121, 288628, 649465, 1154626, 1804105?\nAnswer: 2597896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -37.\nAnswer: -36.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 235*w**3 - 399*w**2 - 2*w - 685262 wrt w?\nAnswer: 705*w**2 - 798*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14666714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -1. Let n be 3 + b - 0\/1. Suppose 2*m - 2 = -n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/12)\/(6\/(24\/(-14)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 2, 1\/2, -0.01, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7450 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 695134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 84993427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 99 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/5, 0.4, 1195\/7, 14?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -1770*h**3 - h**2 - 4*h - 4. What is the units digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s + 21. Suppose 3*r + g - 53 = 0, g - 4*g - 49 = -4*r. Let i be n(r). Suppose 17*u - 24 = 9*u. Put i, u, -5 in decreasing order.\nAnswer: i, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and 6689218482206?\nAnswer: 6689218482209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04467 - -0.08848?\nAnswer: 0.04381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 330119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3298.99 - -3322. Let h = p - 23. Let s = 0.11 - h. What is the second smallest value in -0.04, s, -0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (55*d - 118 + 118)*(-40 - 10 + 1 - 62 - 12).\nAnswer: -6765*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of -306*f**3 + 313. Let l(j) = j. Determine p(l(n)).\nAnswer: -918*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10.6 or 64931?\nAnswer: 64931","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.1  (b) -1  (c) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/45)\/(-1)*-6 + (-6322)\/(-6540). Solve 4\/3*g**2 + 0 - f*g**5 - 5\/2*g**3 - 4\/3*g**4 + 8\/3*g = 0 for g.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -41, -4.4.\nAnswer: -41, -4.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 100147910 times -1\nAnswer: -100147910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20b81 (base 15) to base 4.\nAnswer: -121112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + 60\/(-70)*-35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + 5*i**2 - 7*i - 11. Let n be k(-5). Calculate the highest common factor of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 + (0 + 2 - -3) - -11\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z**4 - 27\/2*z**3 - 6*z**2 + 0*z - 3\/2*z**5 + 0 = 0. Calculate z.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -324 + 205. Let x = v - -204. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**3 - o + 18. Let i(a) = a**3 - a - 1. Calculate -2*h(g) + 2*i(g).\nAnswer: -2*g**3 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4253448 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2856680 divided by -12\nAnswer: -714170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 17 - 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 47*i - 772 - 46*i - 78*i**3 - 55*i**3 wrt i.\nAnswer: -399*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 717 - 701. Suppose -5*l + 5*x = -130, 4*x = 4*l - 5*l + 16. What is the least common multiple of k and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, h: 1, m: 1, c: 1, x: 2}. Give prob of picking 1 u and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 455.1184 millilitres?\nAnswer: 0.4551184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2996143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -572, -1192, -1812, -2432, -3052, -3672?\n\"Answer: -620*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-8) - (9 - 1379610\/(-24)). Is 24 a factor of (-2)\/7 - (z\/42)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -2. Let q be (37 + -2)\/((-2)\/y). Suppose 3*x + 2*x - q = 0. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(120)*1)\/sqrt(10))\/sqrt(6)*-2 + -5)**2.\nAnswer: 20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1476531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 9:58 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 3*s + 4*i - 2, 3*s - 3*i = 12. Let j(k) = -k**3 + 5*k**2 - k + 1. Let q be j(s). Calculate the greatest common factor of 77 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 135231698 divided by 29\nAnswer: 4663162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3975382 is divided by 180699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4\/5, -167\/2, 1\/3 in ascending order.\nAnswer: -167\/2, 1\/3, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/15*48\/(-212448). Is p != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6972 divided by 14\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 - 7*r - 5. Let t be n(-7). Let d(i) = -i - 3. Let x be d(t). Factor 0*j + 1\/2*j**4 + 1\/2 + 0*j**3 - j**x.\nAnswer: (j - 1)**2*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, -7, -4.\nAnswer: -26, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18 + ((-70)\/(-35))\/((-2)\/4). Suppose n*r = -12*r + 390. Calculate the lowest common multiple of r and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20939 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 42451.092764 + -1.5?\nAnswer: 42449.592764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(135)\/(sqrt(20)\/sqrt(4)) - sqrt(27))\/((sqrt(9) - sqrt(9)*2)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.044 - 1.956. Let c = -1.7 + 1.2. Sort 0.9, c, m in ascending order.\nAnswer: m, c, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2201101012 (base 3) to base 7\nAnswer: -311645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + k + 4. Let b be p(0). Let h = b - 2. Solve h*y - 4 = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18aa9b (base 12) to base 10\nAnswer: -433559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -o**6\/5 + o**5\/60 - o**3\/6 + 3*o**2. Does 11 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -234*h**2 + 3449*h + 1627974?\nAnswer: -468*h + 3449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 175837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)*-1*-1)\/((sqrt(810) + sqrt(810)*-1 + sqrt(810) - sqrt(810)) + sqrt(810)) + ((-3*sqrt(245))\/sqrt(7) + sqrt(35))\/(sqrt(28)\/sqrt(4)*-1).\nAnswer: 19*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 12 = 3*g, 256*g - 260*g + 16 = 4*j. Solve -5*x + 40 = 5*c, -g*c + 26 = 17*x - 15*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3*y = 111 + 123, -5*k + 1238 = 2*y. What is the lowest common multiple of k and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 16.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -5*c**4 - 2*c**3 - 8*c**2 - 8*c + 8. Let y(r) = 3*r**4 + r**3 + 5*r**2 + 5*r - 5. Let s(w) = 5*n(w) + 8*y(w). Factor s(b).\nAnswer: -b**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 588\/210*4805\/(-217)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -160493*j**5 + 4*j**4 - 4740833*j wrt j.\nAnswer: -3209860*j**3 + 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y + 6 - 11 + 5. Let k(z) = 112 + 65*z - 111 - 142*z + 67*z. Calculate k(u(a)).\nAnswer: -30*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17495741 + 0.1.\nAnswer: -17495740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 277 + -277. Suppose g = 58*w - 35*w. Solve w = -0*q + 4*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9 + 6 + 1 + 3)*3. Factor -9 + 0 + 11 - 4*z + 4*z**a - 4*z**2 + 2.\nAnswer: 4*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - w = -95. Suppose 8*y + 55 = 9*y. What is the remainder when y is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -257 - -261. Suppose -51*f + 53*f = d. Solve 4 = 2*o - f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.02, -2\/7, 20, -3\/5, -0.2952 in decreasing order.\nAnswer: 20, 0.02, -2\/7, -0.2952, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2336937.\nAnswer: 3, 778979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3)\/(w**(-3)\/w))\/((w*w**(-2\/9))\/(w\/(w*w**0))))**(2\/41) assuming w is positive.\nAnswer: w**(4\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**2 - 7*i - 9. Let z(h) = -5*h**2 + 22*h + 27. Let j(c) = -8*p(c) - 3*z(c). Let d be j(-9). Factor b**2 - b**4 - 2*b + d*b + 2*b.\nAnswer: -b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*u**2 + 258 + 11*u**2 - 375 + 18*u**6 + 9*u**2 - 358 + 17*u**4 wrt u.\nAnswer: 2160*u**3 + 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31599 is divided by 735.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -369, 6, -1, -38 in descending order.\nAnswer: 6, 1, -1, -5, -38, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) - sqrt(91)*-1) - sqrt(91))*1)\/sqrt(112).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*3*(0 + sqrt(1573)) + -4 - (1*sqrt(1573)*6 - (sqrt(1573) - (-3 + (sqrt(1573) + 0 - sqrt(1573)) + sqrt(1573)))))**2.\nAnswer: 330*sqrt(13) + 353926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 4*w - 4, -4*c + w + 0*w = -15. Let h be (-41)\/(-12) - 1\/(-4). Is h at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooooon?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 2. Let m be 4\/l + 92\/3. Let u = -3562 + 3592. What is the greatest common divisor of u and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -0.5, 0.4, 0.09?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2\/13, -80 in descending order.\nAnswer: 4, 2\/13, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 60 = -54. Suppose -3*s = -o - v + 15, -5*o = -s - 17. Solve 5 - o = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*i**3*u**3 + 565619*i**3*u**2 + 20*i**3 - 338*i**2*u**3 - 3*i**2*u - 8*i**2 - 2*i*u**3 - 7*i - u wrt i.\nAnswer: -12*u**3 + 3393714*u**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 703612 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*a + 20 = -70. Let b(c) be the second derivative of 1\/4*c**4 + 3*c - 9\/20*c**5 - 3*c**2 + 3\/2*c**a + 1\/10*c**6 + 0. Factor b(z).\nAnswer: 3*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 - 6*i**2 - 5*i + 5. Let g be x(-5). Let j(v) = 2*v - 2. What are the prime factors of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -5*v**3 + v**2 - 5*v. Let y(l) = l**3 + l**2 + l + 1. Let k(r) = h(r) + 6*y(r). Let u be k(-7). Sort u, -2, 2 in descending order.\nAnswer: 2, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uliulusiiv. Give prob of picking 1 u and 2 l.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*n**3 + 9*n**3 + 17*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4\/2 + 2*g**3 + 5*g**2\/2.\nAnswer: -g**2*(g - 5)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120000012 + -20102100?\nAnswer: 22120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4150*g + 3490*g = 50489 + 48593 + 7878 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2099446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 492 - 156 + 65*d - 161 - 175.\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from czczcccccccczzcz. What is prob of sequence cc?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11519\/17184 - 21\/5728. Factor -4\/3*t**2 - 1\/3*t**3 - 5\/3*t - i.\nAnswer: -(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -q. Let s = 13 + q. Suppose 3*v + 2*v - 170 = 0. Solve 2*b = -2*y + b + s, 5*y - v = -3*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 20713052 and 20713053 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00027488 to 6 decimal places.\nAnswer: 0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 29397, 114703, 256895, 455985, 711985, 1024907, 1394763, 1821565?\n\"Answer: 2*s**3 + 28431*s**2 - s + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*k + 323 - 56*k - 40*k.\nAnswer: -135*k + 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/161 and -163\/420.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63603574.\nAnswer: 2, 31801787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 577451?\nAnswer: 7, 82493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g**3 - 6*g**3 + g**3 + 15*g**3 - 3*g**2 + 4*g**3.\nAnswer: 7*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 - l. Let b = -670 + 668. What is u(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 180*(4 - 10\/25). Suppose 3*s - 5*u = 457, 2*u + 166 = -3*s + t. What are the prime factors of s?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2484*m + 7549. List the prime factors of c(29).\nAnswer: 5, 11, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -4. Let u(q) = q**2 - 15*q + 30. Let t be u(13). Which is the second smallest value?  (a) v  (b) t  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -151855.11956 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.7454 to 2 dps.\nAnswer: -14.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -92, -92, -94, -98, -104?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 345 = 6*z. Let l = z + -47. Let i(f) = -13*f - 58. Calculate the smallest common multiple of l and i(-6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 + 198*c + 72*c + 3460 + 185.\nAnswer: 5*(c + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {k: 3, i: 1, r: 4, q: 5, u: 3, n: 4}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8768799 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1683 and 101133.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b + 1. Let a = 1 - 2. Let o(n) = 8*n + 7. Give a*o(i) + 6*p(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5583287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29778 is divided by 1178?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.7138 rounded to 1 dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 107 - -40. Calculate the highest common factor of 98 and a.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1567 - 1572. Is -90\/19 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i. Let t(y) = y. Let j(w) = -2*r(w) - 5*t(w). Let q be j(-1). Suppose s + 22 + q = u, -u + 8 = 4*s. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 447*c + 5126 - 4211 = 9317 + 14395 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 912576797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-2*((sqrt(343)\/(sqrt(7)*2)*-5)\/(-1*sqrt(1008)*-5) + 2))**2.\nAnswer: -2*sqrt(7)\/3 + 1591\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w + 4*w - 5*w + (-5 + 0 + 1)*(2*w - 5*w + 6*w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -5*v + 23. Let f(z) = z**2 + 7*z - 2. Let p be f(-8). Let d(i) = -14*i + 69. Let s(n) = p*d(n) - 17*r(n). Is s(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*t - 4 = 22*t - 4*v, 5*v - 5 = t. Suppose 2*a + 13 = -2*l + 3*l, -4*l - a + 7 = t. Solve 4*p = -l*w + w + 6, 2*w + 1 = 3*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -251, -385, -533, -701, -895, -1121, -1385, -1693?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*3\/(-27) - 123\/(-9). Suppose -2 = -4*f + 3*k, -3*f + t = -0*f + 4*k. What is the first derivative of -9 + 3*g**2 - 7*g**f - 12*g**2 wrt g?\nAnswer: -32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z\/z**(2\/5))\/z)*z*z**4*(z\/((z**(2\/9)*z*z*z)\/z)*z*z)**(9\/2)*((z**0)**10)**(-31) assuming z is positive.\nAnswer: z**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 192*n**2 + 54. What are the prime factors of a(-7)?\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18764.\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v + 5*v + 3*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 + 34 + (0 + 0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8461264.\nAnswer: 2, 7, 31, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18015 + -9463. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 4*y = 18, 4*y + 4 - 7 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -7*c - 137. Let i be m(-21). What is the derivative of 91*l + i*l - 20*l - 102 wrt l?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, j: 4, k: 2, v: 2}. Give prob of picking 2 d and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 587137295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5019?\nAnswer: 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2346.1 + 2446. Let y = f + -100. Let g be ((-6)\/20)\/((-18)\/15). What is the nearest to -1\/3 in 5, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 2:57 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of b**6\/120 - 7*b**4\/24 + 2*b**3\/3 - 2*b**2 - 85. Calculate the remainder when y(4) is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.097  (b) 2\/5  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 + 27*f**2 + 134*f - 9*f**4 - 6*f**3 - 134*f - 2 - 2 = 0 for f.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.348 - 160.652. Let m = w + 160.4. Let f = 5 + -5.1. Put 0, m, f, -2 in ascending order.\nAnswer: -2, m, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -123.33 - -128.9. What is i rounded to one decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1056\/(-6600) - 52\/1550.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1, -4, -7?\n\"Answer: -3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1966 (base 10) in base 3?\nAnswer: 2200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 6069 = 3*v, -42*v + 43*v + 3027 = 2*l. What is the remainder when l is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 10 + 6 - 687*j + 2 - 474*j. Let z be l(-2). Suppose -41*m = -43*m + z. What is m rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(2*(-3)\/6). Suppose -5*a = -10*a + 15. Put 1, a, o in decreasing order.\nAnswer: a, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from rfrffrf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 6997  (b) 1\/8  (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -534711441.89999812 + 534711531.9. Let k = l + -90. Round k to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/19, 0.3, -3\/2, 2\/15, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/6 + 75*j**2\/2 + j\/6 - 75\/2.\nAnswer: -(j - 225)*(j - 1)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (-52 - -25) - -32?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1850 - 0?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20000010020 - 2?\nAnswer: -20000010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 659499011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 3*n + 4*p, 0 = 227*n - 224*n - p + 30 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 1. What is the remainder when 26 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -136545 (base 11) to base 4\nAnswer: -310021232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2534 + -127. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00112 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11186924 divided by 34742\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13186254 divided by 2\nAnswer: 6593127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 389 + -287. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v - 4. Let h be i(-3). Let m be (-8 - -2)*(-3)\/h. Suppose 50 = m*z - 8*z. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 706358 and 706358 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71867*i - 71867*i - 20788*i**3.\nAnswer: -20788*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -115 + -73. Let g = -162 - z. Solve -g*v = -22*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91528 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127 + 161 = 36*h. Solve -4*t - 2 = -3*z - 8, -5*t = -4*z - h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/1733 + -1761\/2954765. Are 2\/3 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 4*w - 125. Suppose -1092 = -w*g + 19*g. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -21, -48, -95, -168, -273, -416?\n\"Answer: -n**3 - 4*n**2 - 8*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -3*o**3\/7 + 50130*o**2\/7 - 200484*o\/7 + 200472\/7 = 0.\nAnswer: 2, 16706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -21, -21, -25, -33, -45?\n\"Answer: -2*f**2 + 6*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3*j + 14. Let r(c) = 6*c + 28. Let w(k) = 3*r(k) - 7*y(k). Let z be w(-3). Sort -4, -3, z, -1.9 in ascending order.\nAnswer: z, -4, -3, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13396+-0.1\nAnswer: -13396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-220)\/108)\/(-5) - 1) + (-146)\/(-219).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-154663)\/18 + 2 + -2. Let p = 8586 + r. What is the common denominator of p and 40\/(-1824)*970 - (-4)\/38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100001001000100100001 - -100?\nAnswer: 1100001001000100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.462 - -238.562. Let p = -249 + z. Let v = p + 15.90000079. Round v to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1765742695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12063117 a multiple of 2113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8\/(-6))\/(2\/(-4365000)). What is x rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5943\/2120 - -346\/53. Let f = 204 + -1002\/5. Let b = s - f. Is 0 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = q - 0. Let j = q - -3. Suppose 0 = j*a + 1 - 11. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b0b1 (base 12) to base 13\nAnswer: -8935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 9:18 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -889369 and -889369 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -55*b - 299 + 1227 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 210 - 208. Suppose o + 2*o = 0. Solve o*i = k*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/3, -34, -2\/73 in ascending order.\nAnswer: -34, -4\/3, -2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 26\/22 + (-2)\/11. Let h be ((l - 2) + -24)*-1. Suppose -u + 11 = 4*x, u + 1 = x + x. Solve -x*n - 3*n = h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 3*p = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -451.39032 - -0.98332. Let q = -443.46 - 6.54. Let r = q - i. Round r to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -98*t**2 + 4621*t + 13867. Determine g(-3).\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1017, -1889, -2747, -3585, -4397, -5177?\n\"Answer: a**3 + a**2 - 882*a - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 + 118. Is n < 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 144 + -44200?\nAnswer: -44023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 15 - -2)*(-60)\/105. Solve p + 6*y = y - 20, 2*y + d = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -85*q**3 + 8*q**2 - 103*q + 216. Give l(2).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 4:44 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/1160 and -131\/136880.\nAnswer: 136880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2000956 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1224408803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -2\/17, -33, 4\/7, -0.04, -2\/9, -5, -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4758 + 4762. Sort i, 48, -5 in ascending order.\nAnswer: -5, i, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42859 - -43335.77. Let w = -474 + f. What is w rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -5*s**3 + 14*s**2 - 76*s + 508. Determine k(6).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, w: 18}. Give prob of picking 1 b and 1 w.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a factor of 9216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 3241?\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 422, 800, 1138, 1436, 1694?\n\"Answer: -20*c**2 + 438*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56.789 + 57. Let k = j + 9.089. Round k to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 7 = -11. What is the units digit of 4\/((-8)\/(-30)) - t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kz when two letters picked without replacement from pizkktv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*2\/(-2) + 3. Let p be ((-3)\/2 + 6\/12)*-2. Factor -d**3 - 7*d + x*d**3 + 4*d - 4*d**3 - 6*d**p.\nAnswer: -3*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11567062543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u - 20. Let n be z(10). Sort 2\/21, n, 6 in ascending order.\nAnswer: n, 2\/21, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -23, -33?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 6:09 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32551, 65087, 97623?\nAnswer: 130159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 69*l**2. Let s(p) = -6611*p. Determine r(s(b)).\nAnswer: 3015667149*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 - n - 1. Let h(b) = -7*b**3 + 2*b**2 - 2*b + 4. Let v(w) = -h(w) + 2*s(w). Differentiate v(k) wrt k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2576 + -837. Let p = a - -6340. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v + 4*v + 2*v + (3*v + 4*v - 5*v)*(5 - 5 + 1) + 3*v - 4*v + 0*v + v - v - v + (-7*v + 3*v + 3*v)*(-2 - 2 - 3) - v - 2*v + 4*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139939?\nAnswer: 139939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 0. Let y = 1.8 + -1.9. Which is the nearest to y?  (a) 0  (b) o  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2471010200 and 0.3.\nAnswer: 2471010200.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011011010110010 - -101110001?\nAnswer: 1011100000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/15*3 + 4. Let s be 1 - (0 - 1)*1. Suppose c = g + g - s. Solve -5*n + g = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30*4\/250*-5)\/(-3*(-396)\/(-1440)).\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5 = -p + m, -4 = p - 2*m. Let f be (-5 + 1 + 0)\/p. Solve 3 + 1 = -f*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w*w**(-2)\/w*w)\/w*w)\/w**(-1\/25))\/(w**0\/w**10) assuming w is positive.\nAnswer: w**(251\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15 + -4105?\nAnswer: -4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*f + 12*f + 2*f)*(10 + 1 - 3) - 2*f - 4*f - 3*f + 0*f - 5*f + 3*f to z*f + u and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.39391352782 less than 0.033?\nAnswer: -30.36091352782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 + -13. Put 0.3, 0, o, -3\/2 in increasing order.\nAnswer: -3\/2, 0, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 382 minus 0.095?\nAnswer: 381.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-160)\/30*(-60)\/8. What is the highest common factor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 337819490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4010733 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.7510669um?\nAnswer: 751.0669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 0.1. Let w = -905\/3 + 301. Suppose -5*k = 2*y - 16, -3*y - k = -4*k + 18. Which is the second biggest value?  (a) y  (b) w  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/50)\/(2\/(-8)*-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 6:31 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -36, -24, -5, -44, -3.\nAnswer: -44, -36, -24, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 17376, 138976, 469014, 1111704, 2171260, 3751896, 5957826, 8893264?\n\"Answer: 17369*y**3 + 5*y**2 + 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2862 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-15 + 16)*(2 - 7). Let k be -12*3*l\/60. Suppose k*i - 3 = -0*i. Is -8\/21 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + c**5\/15 + c**4\/4 + c**3\/6 - 3*c**2. Let l be d(5). Solve -4*n = -2*n - l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 978207089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1120 (base 5) in base 3?\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 4, -5\/28?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 32880\/(-548) + (-9441)\/(-162) - 3\/(-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 - -0.2. Let h = -102.3 - -102. What is the biggest value in z, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85027045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*z**4 - 153*z**3 + 82*z wrt z.\nAnswer: 24*z**2 - 918*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**5 - 2379*w**4 + 2377*w**3 + 2379*w**2 - 2378*w = 0.\nAnswer: -1, 0, 1, 2378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 345236 + 345224 = -3*j, -2*b + 3 = -9*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -60, -144, -262, -414, -600, -820?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3659326 - 0.1.\nAnswer: -3659326.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*q - q = -34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(1 - -1) + -5. Let s be v\/(-10) - 18\/20. Let m be 3\/(1\/(-4)*-6). What is the closest to -1 in s, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21\/2 - 11. Sort i, -1\/3, 0.15 in ascending order.\nAnswer: i, -1\/3, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17101 + -2557. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**2 - 2667*j + 82710 = 0?\nAnswer: -919, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 9, -11*m + 6*k - 66 - 18 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of 1\/12*w**4 + 0 - 11*w + w**3 - 3\/2*w**2. Let z(j) = -j**2 - 6*j + 2. What is 2*t(v) + 3*z(v)?\nAnswer: -v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l**2 + 8*l + 5. Suppose 7*d - 2*d = 10. Let n(p) = p**2 + 4*p + 3. Let g(i) = d*j(i) - 5*n(i). What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 2*b - 16 = b, 0 = -2*s + 4*b + 8. Find the third derivative of -r**5 + 3*r**2 + 6*r**s + 3*r**5 - 6*r**4 wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j + 17004 = -468. Is j a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 538.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 6*z**2 + 5*z + 2. Let q be v(5). Suppose -q*j = -6*j. Solve 0 = -b - j*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = 182*f - 179*f - 2, 0 = 3*u - 3*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from wweewwk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -246, -2421, -8304, -19749, -38610, -66741, -105996?\nAnswer: -158229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 3. Let d be (8\/(-12))\/(v\/24). Solve y = -y + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -0.0105  (b) -0.4  (c) -41  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + 284205?\nAnswer: 284205.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z + 1. Let h(r) = -6*r + 3. Let l(v) = 11*b(v) - 4*h(v). What are the prime factors of l(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-9))\/(11\/((-3366)\/36))\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 + 75. Let y = -9635096 + 3757691201\/390. Let f = y - -3\/130. Find the common denominator of f and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16208 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 774789 and 83739.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)\/(sqrt(54)\/(5*sqrt(6))) + -1.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -365*v**2 + 561*v + 126*v**2 - 557*v.\nAnswer: -239*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1881 = -19*c + 10*c. Suppose -d = 203 - c. Is d not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 220 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i + 35 = -37*i - 37 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110616?\nAnswer: 2, 3, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 726418 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -34, -82, -150, -238?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(-2\/11)*i**(-3)\/i)\/(((i\/i**3)\/i)\/i**3)*((i\/(i*i*i**(-1)*i)*i)**(2\/17))**(-28) assuming i is positive.\nAnswer: i**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpc when three letters picked without replacement from {z: 1, p: 1, c: 1, t: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - p + 3. Suppose -10 = 9*v - 4*v. Let o be a(v). Let l(f) = f**3 - f**2 + 1. Let t(x) = 7*x**3 - 5*x**2 + 6. What is o*t(z) - 6*l(z)?\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-159)*(-6)\/(-4). Let l = -479\/106 - i. Let j = -59789\/10632 - 2\/1329. Calculate the common denominator of j and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*m**2 + 2 - 1 - 3*m**2 - m - 4*m**2 to the form a*m**2 + r*m + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 311*j - 15*j - 10289 - 17535 = 0 for j.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 64\/28 - 8\/28. Factor 3*j**3 + 6*j**p - 7*j - j + 2*j - 9*j**2.\nAnswer: 3*j*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18803.38 decades to months.\nAnswer: 2256405.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + 510\/68*(-4)\/(-5). Let o(h) = h**2 + 1. Let i(y) = y**2 + 7*y + 12. Let c(s) = i(s) - 2*o(s). Determine c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = x - 2*x, 0 = 5*x + 5*z + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -5*q**2 - 7*q - 5. Let z(k) = 5*k**3 - 9*k**2 - 13*k + 21. Let n be z(2). Give r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 6. Let k be z(4). Let m be 3 + (k - -5) + 6. What are the prime factors of (239 - (m - 0)) + 1?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 3*q = -29, w + 12392*q - 5 = 12389*q for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.76347 and -338445743.\nAnswer: -338445741.23653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 703131525 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 43346349071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 911333635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 - 6. Let b be (0 - y)*(-8)\/10. What is the derivative of -3 + 2*l**2 - b + 5 wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*x + 103*x - 3*x**3 - 48*x - 5*x**3 - 21*x + 21*x + (-x**2 + x**2 - 2*x**3)*(-1 + 5 - 5) to h*x**3 + b + v*x + l*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 13 + 4 = 5*v, -4*i + 12 = v. Let n be (v - (-25)\/10)\/((-1)\/(-10)). Let p = n + -22. What is the lowest common multiple of 33 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*f = -4*x - 34*f + 10819, 0 = 4*f - 12. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 100045888 by 50022944.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 23. Let u = 590 - 1157\/2. Let v = -12 + u. Which is the second biggest value?  (a) y  (b) -2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/838 and 28\/5.\nAnswer: 4190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of w**4\/4 - 2*w**3\/3 - w**2\/2 + w + 1. Let q be f(2). Let t be (-1 - 2)\/q - 1. Solve -t*l - 4 = -6*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 240 = -6*m. Calculate the remainder when m is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, l: 3, i: 8}. Give prob of picking 4 i.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44.8 - 40. Let s = 23.8 - n. Let d = 19.4 - s. Sort -2\/3, 0.2, d in descending order.\nAnswer: d, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1459 - 202803\/139. Let u = b - -332\/3753. Let a = -10 - -7. Sort 1\/5, u, a in increasing order.\nAnswer: a, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 + -74. What is the units digit of 16*g*(-2)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 55309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.031 + -1.071. Let h = 9.14 + i. What is h rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 times -319\nAnswer: 8613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = o + 28. Let a be 6\/o - 48\/(-22). Suppose -a*b - 3*b + 20 = 0. Calculate the greatest common factor of 20 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169 is divided by 79.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 57d6 (base 16) in base 15?\nAnswer: 69e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*h**2 - 4*h - 72*h**3 + 2*h**2 + 2*h**4 + 135*h**3 + 6*h as k*h**2 + w*h**4 + q*h**3 + i*h + z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 11*m**2 - 10. Calculate the remainder when v(-3) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -42, 232, -3, -4 in decreasing order.\nAnswer: 232, 4, -1, -3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-15)\/(-3))\/(-5)*(-36)\/(-21))\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 879474187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 935 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 20. Let i = r - 11. Factor -8*k - i*k - 9 - 11*k**2 + 3*k**3 + 8*k**2.\nAnswer: 3*(k - 3)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2965.576 rounded to the nearest integer?\nAnswer: 2966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7069651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-69)*(73 - 2477325\/33915)?\nAnswer: 2\/437","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20 + -22 + 0 + -1*(-3 - 30776)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, f: 3, b: 3, m: 1, q: 3}. Give prob of picking 1 q and 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 527380 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5*w - 5. Let c(n) = 4*n - 5. Let r(l) = 7*c(l) - 6*o(l). Let f be r(-4). Solve -18 = -f*v - 3*b, 0*v - 5*v + 5*b = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 79*d**3 + 7*d**2 + 7*d + 6. Let w be z(-8). Let c = w - -7350. Round c to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.9 + 1.1. Let d(k) = k**3 + 5*k**2 + 2*k - 4. Let l = 1 - 5. Let z be d(l). Which is the second smallest value?  (a) -2\/5  (b) r  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or 2\/514233?\nAnswer: 2\/514233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 186912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8555 - -85449\/10. Let z(d) = 11144*d - 151. Let o be z(-10). Calculate the common denominator of q and -7 + o\/(-13464) + 4\/(-34).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/20 + 42\/5. Suppose -s - 7 = m. Is 714\/15 - 6\/s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 416834, 833739, 1250644?\n\"Answer: 416905*y - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10201220 (base 3) in base 7?\nAnswer: 10641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -47488054.\nAnswer: 3\/47488054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -9*f + 2. Suppose -5*g - 3*x = 35, -3*x + 7 = 2*g - 3*g. Let m(l) = -5*l + 1. Let q(n) = g*m(n) + 4*u(n). Let h be q(1). Are h and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -5*j - 3. Let z be s(-3). Let k = -17 + z. Let v = 384 + -357. Sort v, k, -3.\nAnswer: k, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -p**3\/3 + p**2\/2 + 61*p + 74. Does 5 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s + s + 7*s - 5*s**2 + s**3 - 29 + 33. Is 13 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -320, -696, -1218?\nAnswer: -1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dens when four letters picked without replacement from {d: 2, e: 1, s: 5, n: 8}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*q + 115061, -835*q = 2*c - 834*q - 46014. Is 173 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l - 2*l + 62 = 4*s, 3*s + 0*s - 149*l = -154*l + 148 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78671 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 177 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence np when two letters picked without replacement from nnpy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 851, 841, 819, 785, 739, 681?\n\"Answer: -6*i**2 + 8*i + 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -1705*u - 129. What is the hundreds digit of q(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27) + (6*sqrt(81))\/sqrt(3))\/((sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72)*5)\/sqrt(8)).\nAnswer: 7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005166 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.63744659+-0.9238\nAnswer: -0.28635341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, j: 8, y: 4}. What is prob of sequence ky?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 19257, 76140, 170649, 302784?\n\"Answer: 18813*g**2 + 444*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 763223 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3195572918?\nAnswer: 2, 1597786459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15673 is divided by 134?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30196474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -72*t + 37*t - t**3 - 2 + 9*t**2 + 58*t + 16 + 2*t**3. Determine a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -4, -0.5, -8.8, 1\/5, -27?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-1\/10))\/(f*f**(2\/13))*f**(-7\/6)*f**(4\/3)*f assuming f is positive.\nAnswer: f**(178\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-6))\/(1\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (258*w + 111*w + 321*w)*(2 - 2 + 2*w**2).\nAnswer: 1380*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13144867.998 + -13129853. Let w = p + -15015.22799982. Let b = 0.23 + w. Round b to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -34*g**2 + 5*g. Let b(a) = -13*a. Calculate u(b(n)).\nAnswer: -5746*n**2 - 65*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of -g**4 - 11*g**3\/6 + 3*g - 9. Find the second derivative of s(q) wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1159 + 1325. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.001 and 24?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*z**2 - 1)*(-177 + 127 + 126).\nAnswer: -152*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**3 + 8*s**2 - 38*s + 28 = 0.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1 - ((11 - 7) + 6 + -13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-315249516)\/(-26))\/6 - 75\/325. What is h rounded to the nearest ten thousand?\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -9*x**2 + 3730*x + 8. Let y(m) = 5*m**2 - 2485*m - 5. Calculate 5*i(v) + 8*y(v).\nAnswer: -5*v**2 - 1230*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 123257 divided by 123257?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 6:24 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -18. Suppose 3*r = -y*r - 348000. Round r to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 3 = -5*a + b, 4*a + 5*b + 7 = 0. Suppose a*z = 46 - 14. Let d = -10 + 16. What is the remainder when z is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*s - 9 = 5. Let f(q) = -q**3 + q**2 - q. Let t(z) = -16*z**3 + 20*z**2 - 20*z. Let m(i) = s*t(i) + 20*f(i). Solve m(k) = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 147750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/7)\/((-2)\/3). Let u = -6005 - -6004.7. Sort u, -1\/2, z in decreasing order.\nAnswer: z, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -7*a + 5. Let l be k(2). Let f be (-6)\/l + 798\/18. Suppose -67 = -s + f. Calculate the greatest common factor of s and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5431186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.01  (b) -0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 17859.6 and -1.\nAnswer: 17858.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2746*m = -2744*m + 5*u - 45, 0 = -2*m - 2*m - 0*u - 2*u + 18 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 + 4)\/(-1) - ((-14)\/7 + -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 45 - -114?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + 3 + 1 + sqrt(33)\/sqrt(11) + -4 + 0)*-2.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.7  (b) 2507.54  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -462.908 from -29.\nAnswer: 433.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1075981452 divided by 6?\nAnswer: -179330242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5723894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 16104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 266*o**2 + 57*o + 57. Let c(f) = 19*f**2 + 4*f + 4. Determine -57*c(n) + 4*r(n).\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + m**2 + m. Let p(s) = -241*s**5 - 3*s**3 + 2*s**2 + 3*s - 26. Let t(x) = -p(x) + 3*y(x). Find the third derivative of t(f) wrt f.\nAnswer: 14460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 + 33 = 3*g. Sort 236, g, -1 in descending order.\nAnswer: 236, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i - 2. Suppose 12*l - 39 = -111. Let s(p) = -p**2 - p - 2. Let z be s(0). Let g = z - l. What is v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 7*i**2 + 5*i + 9. Let j = 6 - 10. Let x be w(j). Suppose 3*n + 4*y - 129 = 0, 5*n - x = -2*y + 114. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k**2 + 1112*k + 5461. What is i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -10*l - 37. What is the tens digit of t(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 231802219?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do -23845 and -23845 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.41276 + 0.04186. Let k = -0.66 - -0.28. Let v = k - j. What is v rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 14 + 4)*(-3*k + 2*k + 2*k) + (-4*k + 0*k + 2*k)*(11 - 2 + 7) + 18 + 3*k - 18 as d*k + q and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (((-374)\/(-165))\/(-17))\/(108\/60)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p**2*s**3 + 9285*p*s**3 - s**3 - 42270 with respect to p.\nAnswer: -4*p*s**3 + 9285*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 12  (c) -12  (d) -131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - 4) + (-2 - 2) + 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 9 = 7. Let z be 0*(-2 - (-21)\/9). Suppose 0 = l - z + 4. Sort 5, l, n in decreasing order.\nAnswer: 5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 1030.\nAnswer: 3\/1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.02 + 1.27. Let l = 1.25 + d. Which is the nearest to -10?  (a) -5  (b) 4\/9  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - 3*w. Give l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + (-48)\/(-15) + -3. Let a(k) = k - 1. Let n be a(3). What is the nearest to 2 in n, o, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + (26 - -4) + (8 + -1 - 64).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 19.9  (b) 1  (c) -0.02  (d) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1b008 + 3542?\nAnswer: 2154a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 492*o**2 - 13*o - 4. Let l(u) = 493*u**2 - 16*u - 5. Let q(h) = -4*l(h) + 5*z(h). Let y(c) = -c**2. Calculate q(y(k)).\nAnswer: 488*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 6 = 6. Suppose z*f + 2*f - 20 = 0. Calculate the least common multiple of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**2\/3 + 68060*f\/3 - 68062\/3 = 0. What is f?\nAnswer: -34031, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/470568 and -163\/126.\nAnswer: 1411704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 249 * 0.05\nAnswer: 12.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*u**2 + 2\/3 - 2*u + 7\/6*u**3.\nAnswer: (u - 2)*(u + 1)*(7*u - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -41 + 48 - (-4)\/(-1). Let f be (35\/(-420))\/(2\/52). Put f, k, 3\/2 in decreasing order.\nAnswer: k, 3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - t = -4*p + 4, -t + 5 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.16, -6, 2.\nAnswer: -6, 0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.94 - 0.06. Let a = -5 - w. Put a, -0.4, -0.05 in increasing order.\nAnswer: -0.4, -0.05, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/6 + 16\/6. Suppose -u*g = 5*o - 3 - 21, -36 = -5*o + 2*g. Suppose -2*v - 40 = -o*v. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 19*z**2 + 7*z + 6. Calculate n(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*t + 18*v, -54*t - 3*v = -49*t - 95 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 33975392 or 33975390?\nAnswer: 33975392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 6. Let t = 0.033 - -9.967. Let c = t + m. Put 4\/9, c, -5\/4 in ascending order.\nAnswer: -5\/4, 4\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 9153 = -2*u - 8082, -y - 4*u + 3469 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -4*b + 103. Let s be (6\/(-7))\/((-2)\/14). Let i = b - s. Calculate the remainder when 47 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28926 divided by -1607?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11385 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -411*i = 471 + 400 - 4570 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*f = -165. Suppose 21*l + 23*l + 4356 = 0. Let h = f - l. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 21*m**2 + 48*m + 50. Let d be r(-23). Suppose d*b - q - 289 = 0, q = -3*b + 244 - 36. Round b to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74808 divided by -37404?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from {u: 1, k: 1, i: 2, v: 7, z: 5}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 476141660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -76159356 by -20132.\nAnswer: 3783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = b - 18, -2*b - 4*y + 16 = -7*y. Calculate the common denominator of (-6)\/4*(-40)\/930 and b - -1*(-505)\/50.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/((-92)\/(-207)*(-12)\/8). Sort -3, 16, u, 0.5 in increasing order.\nAnswer: u, -3, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15322 is divided by 96?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.104 and -13.\nAnswer: -1.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 2:26 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 - 17*l - 35. Let w be k(-11). Is w at least as big as 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*y + 7217 - 77. List the prime factors of y.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (174*u + 192*u - 60*u)*(0 - 3 + 1)*(109 - 48 - 3*u - 60).\nAnswer: 1836*u**2 - 612*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/3553 and 89\/2876808.\nAnswer: 54659352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 5*z**3 - 2*z. Let b be q(-2). Let y = b - -40. Solve -x - 15 = y*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25*i**3 + 1036*i**4 - 4930*i**2 + 2*i**3 - 2*i**5 + 23*i**3 wrt i?\nAnswer: -120*i**2 + 24864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -15*c + 242. Calculate k(23).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38.71 - -42.71. Which is the closest to -0.1?  (a) 16  (b) x  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/32)\/((-18 - 42)\/(-960)). Let q(l) = -1 - 5 - 6*l - l**2 + 3. Let t be q(-2). Put t, -5, m, 3 in ascending order.\nAnswer: -5, m, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(7) + (sqrt(63) - sqrt(252))\/sqrt(9)) + sqrt(84)\/((sqrt(132)*-1)\/sqrt(11)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -30, 5, 1, -28 in ascending order.\nAnswer: -30, -28, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.72 + -0.02. Let x = v - -0.3. Let k = -4\/17 - 22\/51. Which is the second biggest value?  (a) k  (b) 0.4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110925382 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 8:31 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 6 + 9. Let x = -5 + t. Suppose 5*f - 5 - 10 = x. Solve f*n + 5 = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-15)\/(-12)*2\/5. Let d = 11 + -3. Suppose -23 = 5*v - d. Which is the third biggest value?  (a) v  (b) s  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/480*-125*6\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 12:15 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 0.5  (c) -1\/3  (d) -4  (e) 34\/3  (f) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -594 + 887. Suppose -275 = -8*x + u. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.182 smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3444 and 2?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -48\/4555 and 30\/89.\nAnswer: 405395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 16 = 2*r. Suppose -5*b + 0*b = -v - 7, 5 = r*b - v. What is the second derivative of j - 3*j**2 - b*j - j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -80, -62, -22, 46, 148, 290, 478?\n\"Answer: m**3 + 5*m**2 - 4*m - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 104.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d**2 - 14*d - 8. Let z(u) = -4*u**2 - 29*u - 8. Determine -5*s(p) + 4*z(p).\nAnswer: -p**2 - 46*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4007 and 25.\nAnswer: 100175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 10*j - 10. Suppose 2 = -t - o, -23 = -t + 5*t + o. Let u be (4\/10)\/((-3)\/15). Let a(v) = 3*v + 3. What is t*a(x) + u*c(x)?\nAnswer: 2*x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*14\/7*(-1)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.3507*0.02.\nAnswer: -0.047014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16162427 and -1.\nAnswer: -16162427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z = 31*z + 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 5*y + y + 147, 4*l = -3*y + 118. What is the remainder when 89 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c + 864 - 899 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1421 + 1989. Let m be (s\/(-6))\/(-4) - (-1)\/3. What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.42 - 1.52. Let l = -8 + 118\/15. Sort 3\/7, m, l in increasing order.\nAnswer: l, m, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 6*d + 9. Let p be y(-5). Suppose p*a = -0*a. Suppose 7*n - 9 - 26 = a. Solve n*r + 2 = l, 3*l + 18 - 6 = -3*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*q**2 - 58738*q + 58726*q - 47*q**2 - 25*q**2 + 15*q**2 to d*q + a*q**2 + y and give a.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -68 - 2 - 5 - 16 - 24 - 3*o**2 in the form h + q*o**2 + m*o and give h.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 6*x + 456. Suppose -5*p + x + 317 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21202.\nAnswer: 2, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2948 - 134*m**2 + 2948)*(6 - 4 + 0)*(1 + 2 - 2)*(1 + 0 + 1) as g*m + y + a*m**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -95*j + 94*j + 5*o - 25, -3*j = -5*o + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 729618 - 72*c - 729618.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*o = 23, -2*y - o = -y + 1. Let k = 4 + 1. What is the third smallest value in y, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 502 is divided by 59.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -31, -1, 9 in decreasing order.\nAnswer: 9, 5, 4, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8 + 5 + (0 - -808)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0046351446 + -1?\nAnswer: -1.0046351446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.09584, 5, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.048 + -0.348. Which is the third biggest value?  (a) 3\/7  (b) o  (c) -4  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {c: 2, e: 4, b: 4, q: 3, z: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 73297 and 755762.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.61696745 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/(-42))\/((-1144)\/(-858))*21\/12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.3 equal to -397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 26 = -2*h - 28, 0 = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-3 + (9 - 17))) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -0.018.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0016668 to 5 dps.\nAnswer: -0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/15 - -3\/5. Which is the third smallest value?  (a) 4  (b) y  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 638649961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 1661*m + 23 = -1666*m, -x - 2*m + 3*m + 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 4:55 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/3450?\nAnswer: 1\/3450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19434661*p**2 + p - 12531781 wrt p?\nAnswer: 38869322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by -32965.\nAnswer: 17\/32965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1137 or -1136?\nAnswer: -1136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54)\/(-180) + 8\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -98*l**3*x + l**3 - 10*l**2*m*x - l**2*m - 14*l**2*x - 19705*m wrt x.\nAnswer: -98*l**3 - 10*l**2*m - 14*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*u + 86*u - 4128 = -5*x, 4*x = 4*u - 16464. What are the prime factors of u?\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16435 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 + 26*c + 29. Let f be t(-25). Differentiate 4*u - 6*u**2 + 8*u**3 - 4*u**3 - f*u + 185 - 23 with respect to u.\nAnswer: 12*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 260485*o**2 + 520950*o.\nAnswer: 5*o*(o + 2)*(o + 52095)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*o - 8233568 = -8228093 for o.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(6)\/(sqrt(3) + sqrt(120)\/sqrt(10) + sqrt(3))*-1 + (sqrt(432)*1)\/(sqrt(36)\/(sqrt(6) - (sqrt(6) - 2*sqrt(6)))))**2.\nAnswer: 2209\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + -19 + 24 + -45 + 110.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - 31956.\nAnswer: -31956.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -530?  (a) -1\/6  (b) -87  (c) -0.057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 5*f**2 - 2*f - 7. Let d be o(-5). Let m = 10 + -6. Sort 0, d, m in increasing order.\nAnswer: 0, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -5*j**2 - 19*j - 38. Let n(d) = d**2. Let y(w) = -6*n(w) - s(w). Let m be (16\/(-12) - 95\/57)*-7. Determine y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151535 is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 4\/7, 0.4, 513, 47\/4 in increasing order.\nAnswer: 0.4, 4\/7, 4, 47\/4, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7, -42, -125, -242, -393, -578, -797?\n\"Answer: -17*s**2 + 2*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-26870*q**2 - 26869*q**2 + 54028*q**2)*(-4 + 0 - 1)*(2*q + 2*q**2 - 2*q) to z*q**3 + p*q**4 + f*q + h*q**2 + k and give p.\nAnswer: -2890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -405*r - 2067 = -471*r + 243 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3195 + 9583 - 3207 - 2540*q**2 - 3190)*(-3*q**2 + q**2 + 0*q**2) in the form r*q + i + m*q**3 + n*q**4 + w*q**2 and give n.\nAnswer: 5080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, -12296, 0, -2\/9, -1\/4.\nAnswer: -12296, -1\/4, -2\/9, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 40 + -42. Let m be 156\/(-27) - 6\/27. Sort s, m, -1 in decreasing order.\nAnswer: -1, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.008, 9, 0.001, -5, 1\/2, 3 in decreasing order.\nAnswer: 9, 3, 1\/2, 0.001, -0.008, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1573) + 0 + 3 + -3*(sqrt(1573) + sqrt(1573)*2) - (sqrt(468)*3 + -3 + -4).\nAnswer: -106*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m - 56. Let x be u(20). Solve -3*a = 19 - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -285.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tcrxq. What is prob of sequence xqx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 5*m**3 + 416821460*m**2 = 0.\nAnswer: -83364292, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 74220 and 504840.\nAnswer: 579060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/126 and 167\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13288902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-76)\/6)\/((-4)\/6). Let w = z - -76. Suppose l = 5*q - 2*l - w, 2*q + 5*l - 38 = 0. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271 = 108*x - 1386 - 827 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {s: 6, z: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.32 - -0.87. Let y = v - 2.55. Which is the closest to 1\/2?  (a) -0.1  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -3*t - 880. Let k = t + -253. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 12:52 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -1. Suppose -5*m - 2*f + 9 = -4, -3*m - 9 = -3*f. Let r = i + m. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (14\/(-8))\/(6\/(-72)). Let a = x + -11. What is the derivative of -a*d + d**2 + 10*d + 2 wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a - a - a + (2 - 3 + 3)*(0*a + 2*a - a) + 5*a - 11*a + 9*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y*((y\/(((y*y\/y**(-1\/7)*y)\/y)\/y))\/y)\/y))\/(y\/((y\/(y\/((y\/(y\/y**(8\/7)))\/y*y)))\/y))*(y**(1\/3)\/y)\/y*y**16\/y assuming y is positive.\nAnswer: y**(328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14968 + -13198. Which is bigger: w or 1762?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 10:39 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.196357 nanometers?\nAnswer: 0.000196357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -218*p - 54. List the prime factors of h(-13).\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (101 - (-3 - -46)) + -34.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23106276 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -22*s + 289. Let n be l(13). Solve -4 = -2*c - n*i + 4, 3*c + 3*i - 9 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*o + 2. Let z be (24\/20*o)\/(2\/(-145)). Suppose -82*q - 80 = -z*q. Calculate the highest common factor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103 + 57869\/588 - (-21)\/9.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-42)*28*3*(-2)\/(-1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 3. Suppose -2*r - 20 = -d*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -5, 1, -307?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p\/(p**(4\/7)*p)))\/p**(-25))\/(p**(-14)*p\/(p\/(p*p\/(p*p*p**(-3\/4))))*p))**(-31\/2) assuming p is positive.\nAnswer: p**(-33697\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 561*s**2 - 11 + s**5 - 504*s**4 + s - 244*s**2 - 262*s**2 - 7*s**4 wrt s?\nAnswer: 60*s**2 - 12264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + (-7)\/(-2))*-6. Let f(q) be the third derivative of 0 + 2\/3*q**3 + 9*q**2 + 0*q - 1\/15*q**5 + 1\/8*q**4 - 1\/120*q**6. What is f(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13\/(520\/800))\/(-2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 14 + 19, -f - 109 = -2*r. Calculate the greatest common divisor of r and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 15.0781  (b) 3.27  (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*(-2 + 3 - (-3)\/(-2)). Factor -28*b**4 + 64 - 32 - 32 + 3*b**2 + u*b - 27*b**3.\nAnswer: -b*(b + 1)*(4*b + 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 53 = 20*l + 66 + 46, -1584*l + 20 = -1584*l + 4*d for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -33539*f**2 + 4*f - 1851605 wrt f?\nAnswer: -67078*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.601899997 to 3 dps.\nAnswer: 0.602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -569, -572, -575?\n\"Answer: -3*w - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 396680?\nAnswer: 2, 5, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a hour in seconds?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/(-90))\/((-57)\/7866).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*c - 126 = -22*c. What is the lowest common multiple of c and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.8, -0.07, 1\/6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -495 = -5*p + 2*p. Let s = p - 161. Solve s*k - 22 = -0*m - m, 0 = -5*m - k + 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1ac292 (base 13) to base 11\nAnswer: -427768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16\/107915 or 0?\nAnswer: -16\/107915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 0.1, 17, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*-6 - sqrt(21))\/sqrt(7)*-4.\nAnswer: 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000328359 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9965?\nAnswer: 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -333*z**2 + 890*z + 372323 wrt z?\nAnswer: -666*z + 890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) -3  (c) -0.5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -14, 1, 2 in increasing order.\nAnswer: -16, -14, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -15887, -63683, -143341, -254861, -398243?\n\"Answer: -15931*i**2 - 3*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3420\/(-21945))\/((-12)\/66))\/4.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of -c**6\/120 + 2*c**5\/15 - 5*c**4\/24 - 4*c**3 - 2*c**2. Let f be t(7). Sort 3, f, -3 in decreasing order.\nAnswer: 3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 4*l - 4. Let y be w(4). Which is the third smallest value?  (a) y  (b) 5  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/3 and 31\/3606?\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -1337859\nAnswer: 401357.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ix when two letters picked without replacement from ixe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(2\/109))\/(m**(-4\/23)*m*m)*((m**9*m)\/m*m)\/m*m**(-4\/13)\/m)**(2\/133) assuming m is positive.\nAnswer: m**(446358\/4334603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (-9 - (6 - (12 - 3))) + -21\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 11*l = 14*l - 17, -3*x + 19 = 4*l. Is -38\/315 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 2*s = -346, 4*t + 5*s - 294 = 398. What are the prime factors of t\/((-128)\/32 - (-13)\/3)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.899534ng to milligrams.\nAnswer: 0.000001899534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 11*i + 4859. Is t(100) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -386 - 63 - 3*o**3 + 3*o**3 - 2*o**3.\nAnswer: -2*o**3 - 449","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**3 - 5*l**3 - 10*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - (26 - 19)) + -7 + -2 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -22*h**3 + 2*h. Let z be g(-1). Let p be z\/50 - 2\/5. Solve -3*r = -3*y + 6, p = -3*y - 0*y - 5*r + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*x**2*y*z**2 + 3*x**2*y*z + 2*x**2*y - 40*x**2 + 38*x*y*z + 3*x*z**2 + y*z**2 + 6 wrt x.\nAnswer: 4*y*z**2 + 6*y*z + 4*y - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12, -53.7, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -465 + 931\/2. Factor 0 - z*y**4 + 0*y + 1\/2*y**2 + 0*y**3.\nAnswer: -y**2*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of 0*y**4 + 0*y + 1\/360*y**6 - 4*y**2 + 0 + 2\/9*y**3 - 1\/60*y**5. What is r in h(r) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2 + 2 = 0. Suppose -10 = -2*u - l. Suppose 60 = 5*v + 5*d, -u*d + 20 = 4*v - 32. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -2*s - 95. Let z = s + 68. Suppose 10*x = 5*x + 20. Calculate the lowest common multiple of z and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.9  (b) 0.1  (c) 0.05  (d) -4  (e) -0.3  (f) -0.2  (g) -28778\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8699142 a multiple of 1531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10765 and 6954190.\nAnswer: 6954190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*k + 1 - 1.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 + s + 18. Let l be 5 + 10*5\/(-10). Give b(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 42 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -0.3  (c) 3  (d) 1973  (e) 0  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-78)\/(-85) - (-2 + 658\/235).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - 3 - -4 - 8. Let h(w) = 2*w**2 + 7*w - 5. Let o be h(b). Solve 3*m + o = 4*l - 10, 2*m + 14 = 3*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -3*m - 23 - 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(1\/4)*c*c**8)\/(c**(8\/9)\/(c\/(c*c**(-2)))))**(2\/19) assuming c is positive.\nAnswer: c**(391\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -2.21. Let c = -0.20999905 + p. What is c rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-364)\/1248)\/(2\/8)*(-846)\/(-2632)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*x + 300. Suppose -x = 7*w - 22*w. Solve -w*p - p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from errddirrhrdsrird. Give prob of picking 1 i, 1 r, and 1 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 7090 - 7090. Let p(r) be the third derivative of 4\/15*r**5 + 0*r**3 - 13\/24*r**4 + 0*r + r**2 + m. What is the second derivative of p(s) wrt s?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 876069 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 23113\/2 or -1?\nAnswer: 23113\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1ab + 4347?\nAnswer: 44f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 6*h - 6. Suppose -3 = -0*u + u, 4*c = 3*u + 37. Is 15 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 7*u + 5*i - 38, 3*i - 14 = 2*u. Solve z - 20 = -5*p, -3 = -u*p + 3*z + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 275598 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 221?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 596*y - 41. Is n(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 98.01478 weeks?\nAnswer: 16466.48304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -18. Suppose -5*p - q*l + 23 = 0, 4*p = -l + 32 - 7. Find the second derivative of -p*o**5 + o + 4*o - 4*o - 5*o wrt o.\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4 - 1. Suppose -386 = -f*c - 111. Suppose -5*g = -0*g - c. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + ((23 - -11) + -5 - 6) + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y - 5. Let p(i) = i - 534. Determine p(k) - 3*t(k).\nAnswer: -2*k - 519","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 15) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3666 divided by -57971?\nAnswer: 3666\/57971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -3. Suppose -2*h = -d*h. What is the second biggest value in 0.1, 2\/15, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24031391?\nAnswer: 2633, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 49. Let u(j) be the first derivative of 0*j - 3\/2*j**2 + 4. Give s(u(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/2 - 0)\/(75\/(-800)). Solve -18 = -2*n + 5*x, 2*n + 2*x - g = 6*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 624476947 and 624476948 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - 1)\/9*3. Is 11 a factor of ((-96)\/(-18))\/(g\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*s - 95*s + 1 = -5*x, -4*s = -x + 15. What is the smallest value in x, -259, -2.2?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39 + 41. Which is the closest to 0.1?  (a) t  (b) 1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12166645 or 12166646?\nAnswer: 12166646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.4  (b) -1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-4))\/((-784)\/(-100352)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26567598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/2)\/(1458\/(-324)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -65989 times 13\nAnswer: -857857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*s**5 + 56*s**4 - 280*s**3\/3 + 208*s**2\/3 - 68*s\/3 + 8\/3 = 0. Calculate s.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*r**2 + 116*r**2 - 28*r**2 - 24*r**2 - 19*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -338 - -803. Suppose 472*h - 35 = y*h. Let j be 2 - ((-1)\/(-1) + -1). Solve j*f - 3*r + 15 = 0, 5*r - 13 = f + h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 7*y - 1. Suppose -4*a + 10 + 9 = -5*l, 4 = -5*a - 3*l. Let h be a + (-12)\/14 - 144\/28. What is m(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i + 203 = 18*i + 3*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -919686*f**4 - f**2 + 9*f - 21063 wrt f?\nAnswer: -22072464*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-3072)\/640*15\/(((-198)\/(-4))\/(-11))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -42  (b) 29\/3  (c) -0.041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from qnnt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2422196546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -4, 0*u = u - 4*t - 47. Calculate the remainder when 194 is divided by u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 232 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-23)\/((-161)\/70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = -4*z - 8. Let o = -2 - -1. Calculate the remainder when (9 - (-4)\/(-2)) + o is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -15, -23, -31, -39, -47?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -15*h**2 - 22*h + 39. Let d(w) = 5*w**2 + 8*w - 13. Give -8*d(p) - 3*l(p).\nAnswer: 5*p**2 + 2*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - ((-10)\/45 + 7\/(-9)). Let x(f) = 662*f. Let h(k) = 993*k. Let a(m) = -5*h(m) + 7*x(m). Is a(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20710 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -10.23. Let j = 0.07 - q. What is j rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 6:09 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f**2 - 5 + 5*f**2 + f**2 - 2*f**2 wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-3)*504\/(-24). Let n = o + 20. Let z = 19 - n. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 1411 = 129. Suppose -k = -2*o - 0*o. What are the prime factors of o?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3502, -3447, -3392, -3337, -3282, -3227?\n\"Answer: 55*s - 3557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.2 - 278?\nAnswer: -280.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40 or 92512\/2265?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (-3 + 2) - -20. Suppose -2*m + 4*u = -56, 0*m - 2*m + 3*u + 52 = 0. Calculate the greatest common divisor of m and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**4\/2 - 50*p**3 + 3*p**2\/2 + 151*p + 100 = 0.\nAnswer: -100, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179583603 is divided by 1187?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 7:07 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -34*c + 210. Let n be v(-5). Calculate the greatest common factor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.20828ml in litres?\nAnswer: 0.07320828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80007, -80013, -80021, -80031, -80043, -80057, -80073?\nAnswer: -80091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5)\/3 - -3)*3. Suppose i = -2*g + 2. Let s(k) = -257*k**2 - 1 - 277*k**2 + 525*k**2. What is s(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*i**3 + 2839 + 12*i**3 - 2836.\nAnswer: 59*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 58821064 or 58821061?\nAnswer: 58821061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 7223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85 = 37*q - d - 2*d, -q + 4*d - 341 = -406 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s - 9. Let x be h(7). Calculate the least common multiple of x - (0 + (0 - 10)) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25 - 22. Suppose 243 = -0*h + t*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -385*q**3 - 495*q**2 - 495*q + 495. Let a(j) = -j**3 - j**2 - j + 1. Determine 990*a(w) - 2*c(w).\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8\/5 + -37\/20. Let o = -503.1 + 503. What is the third smallest value in -0.3, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 63\/6*4\/2. Suppose 5 = 2*l - a. Let t = l - 8. Solve 0 = -t*f - 15 - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25520 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 310*y = 158*y + 11896584. Is 113 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 = 50*v - 52*v. List the prime factors of v.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -11*a - 6. Let s(n) = 11*n + 5. Let j(o) = 4*p(o) + 5*s(o). Is j(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence of when two letters picked without replacement from {n: 8, z: 4, o: 7, f: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 22*g + 12. What is the smallest common multiple of p(11) and 10?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43a344 (base 15) to base 12\nAnswer: 10b57b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18694090 is divided by 239.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -68038 > -68025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -d**2 + 74*d - 10. Let i be w(33). Solve f = 2*f - 5*x + i, -f = -3*x + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 3.6. Let k be -2 + (-4)\/((-24)\/70). Let h = 10 - k. Which is the closest to 1?  (a) -2  (b) j  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4*((sqrt(475) - (sqrt(475) - (sqrt(475) + 1*sqrt(475)))**2)*-1 + -4*(sqrt(475) + -1)).\nAnswer: -1915 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 106947 - 57332. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/7*t**3 + 27\/7*t + 1\/7*t**5 + 0 + 10\/7*t**4 - 6*t**2.\nAnswer: t*(t - 1)**2*(t + 3)*(t + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*d**5 - 3*d**5 - 3*d**4 + 4*d**4 + (1 + 3 - 3)*(d**5 - d**5 + d**5) - d**3 + d**3 + 3*d**5.\nAnswer: 7*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1127292 and 4140?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q + 88*q = -33*q + 1482 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 175280948*m**3 - 65433201*m**2 wrt m?\nAnswer: 1051685688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(68) - (sqrt(68) + -1)) + sqrt(68)) + sqrt(68) + 2 + sqrt(68) + 2 + sqrt(68))**2 - ((sqrt(68) + -1)*6 + 0)**2*3.\nAnswer: -7179 + 440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 31388634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -40 - i**2 + 252*i**4 + 229*i**4 - i - 480*i**4 - 6*i**3 as x*i**3 + c*i**2 + g + y*i**4 + k*i and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4014, 3984, 3954, 3924, 3894, 3864?\n\"Answer: -30*o + 4044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c\/(c\/((c\/c**17)\/c)))*(c**17*c*c)\/c)**(-1\/2) assuming c is positive.\nAnswer: c**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y + 73 - y - 137.\nAnswer: y - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29128.\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2410, 5129, 7846, 10561, 13274, 15985, 18694?\nAnswer: 21401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2904 - 27.904\nAnswer: 2876.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*l**2 + 5*l**2 - 3*l**2.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ggiggigiiiiiiiiiiig?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1189 and 2.007?\nAnswer: -2386.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 56067121 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*q - k, -4*q - k - 2*k - 27 = 0. Let v(o) = 2*o + 27. Let n(r) = -r - 12. Let m(w) = -7*n(w) - 3*v(w). Give m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3.5 in -1, 72, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -2*v + 12. Suppose -b + c + v = -3*c, -4*b + 5*c + 37 = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7178, -7195, -7220, -7259, -7318, -7403?\nAnswer: -7520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t - 18. Let g be n(11). Let b(i) = -8*i**3 + 11*i**2 + 8*i - 5. Let j(m) = 3*m**3 - 4*m**2 - 3*m + 2. Determine g*b(o) + 11*j(o).\nAnswer: o**3 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2195, -4393, -6591, -8789, -10987?\nAnswer: -13185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 3*t + 2*p = -11, -t + 5*p + 2 = 0. Let w(o) = o**3 + 3*o**2 - 3*o - 1. Calculate w(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*x + 94*x + 415 = 0. Suppose 3*q - 59 = 4*b, 3*q + 3*b + 2*b = 41. What is the remainder when x is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence udc when three letters picked without replacement from {f: 3, c: 3, m: 1, d: 2, i: 1, u: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 3*n**2 - 6*n**2 + 4 - 4 as c*n + p*n**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48329.\nAnswer: 31, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lxcloxcoocccclcoxl. What is prob of sequence olx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*d - 11 = 18, 0 = -l - 3*d + 17. Let h be (3 + -2)\/(9\/(-27)). Sort l, -4, -5, h in descending order.\nAnswer: l, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230308 is divided by 19137.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 204, 407, 610, 813?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2*30\/24)\/(-4*(-300)\/(-1248))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 1441.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**2 + 4*v**2 - 6*v**2 + 5*v**2 + 2*v**2. Let k(m) = 18721*m - 4*m**2 - 18721*m. Give k(b(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*s = 5*h - 46*s - 11244, 2*s - 15738 = -7*h. What is the remainder when h is divided by 327?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 305982492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 - 23*a + 107. Let m be b(17). Suppose -m*r - 5 = -7*x + 2*x, -3*r = -4*x - 1. Let n(l) = -l**2 - 6*l - 6. Determine n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -7074, -0.09, -42 in ascending order.\nAnswer: -7074, -42, -4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/50)\/(9\/(-15)). Let i = -0.26 - 6.34. Let t = -6.8 - i. Sort t, y, -3.\nAnswer: -3, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4060\/26 - 0 - (-68)\/(-17). Suppose 0*b - 760 = -5*b. Let i = v - b. What is the second smallest value in -4, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = 10*z + 69 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 5*k**2 + k)*(-1 - 1 - 1)*(4*k + 12 - 12).\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 0*f + 6 - 11*f**2 + 4*f**2 - f**3 - 1 - 12*f. Let t be i(-5). Suppose 0 = 3*j - 87 + t. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**5\/2 + 101909*t**4 - 203819*t**3\/2 = 0. What is t?\nAnswer: -203819, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1449*x**2 + 1854*x**2 - 412*x**2 + 3.\nAnswer: -7*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/9)\/(t\/(t\/(t*t**(-3)*t*t))))**(-40) assuming t is positive.\nAnswer: t**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -67\/14 - -163\/7. Find the common denominator of -57\/26 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 1894*b**4 + 4802*b - 5. Let x(g) = 5682*g**4 + 14403*g - 14. Let z(v) = -14*f(v) + 5*x(v). Find the second derivative of z(m) wrt m.\nAnswer: 22728*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.065 + 0.093. Let v = o - -1.532. Let y = 1.16 - v. What is the nearest to 0 in -2\/11, -22, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13973434*h*t**3 - 81650*h*t + 2*t**2 + t wrt t?\nAnswer: 83840604*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**2 + 11116*x - 22238. Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -5*r**2\/2 - 2*r + 6041. Let y(m) = 6*m + 2. Give -4*j(l) - 3*y(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c + 4. Let b(v) = v - 3. Let a(f) = f**3 + 5*f**2 + 3. Let k be a(-5). Let w(d) = k*r(d) + 4*b(d). Let z(m) = 2*m. Calculate w(z(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4018 + 5755 = -776*t - 2643 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.065 + -0.366. Let n = -3.699 + x. Sort -36, 0.1, n in ascending order.\nAnswer: -36, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 11 = 163. Let t = x - -97. What is the least common multiple of 17\/1 + 4 + -7 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 3*m + 7. Let g be 118*(-2)\/6*(-6)\/4. Suppose 54 = -v + g. Give r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*y**3 + 4*y**2 - 26*y wrt y?\nAnswer: 36*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w + 4. Let x be f(-4). Suppose 6*d - 2*d + 4 = x. Let p(l) be the third derivative of -l**5\/60 + l**4\/24 + 14*l**2 - 2*l - 164. Give p(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0988773 and -2.\nAnswer: -0.1977546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*w + 36 = 4*v, 19 = 2*v - 3*w. Suppose -3*b - 2 = -11. Suppose -l - b*l + 92 = 0. What is the remainder when l is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 58424 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 - 17*d - 10. Calculate the lowest common multiple of z(-16) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 89*w - 9. Let m be n(-3). Let g be m\/(-66) - 2\/11. Let t(b) = 2*b**3 - 7*b**2 + 5*b - 4. Calculate t(g).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 89\/99 + -5\/11. Let x = -34.7 - -3.3. Let m = x + 32. What is the second biggest value in m, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 15 + -8 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*h**3*l - 60*h**3*v**3 + 4*l*v**3 + 9*l*v**2 - 2*v**2 wrt h?\nAnswer: 6*h**2*l - 180*h**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.77567 rounded to three decimal places?\nAnswer: -0.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 42*g**2 - 284*g + 3088. Give j(47).\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (0 + -12 + 11 + 26 - 6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122765443?\nAnswer: 89, 1379387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6967 - -6982)*(-12)\/10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 9759, 39189, 88255, 156969, 245343, 353389, 481119?\n\"Answer: 2*c**3 + 9806*c**2 - 2*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2061926.\nAnswer: 2, 139, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-16*m + 44*m + 34*m)*(-21*m + 12*m + 13*m + (4 + 1 - 3)*(0 + 0 - m) - 2 + 2 - m - 4 + 4 + 3*m) in the form q*m + b*m**2 + o and give b.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 730.6167 millilitres to litres.\nAnswer: 0.7306167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7634 + -2700. Does 75 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 628972393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -390  (b) 58  (c) -1\/2  (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (10 - -4)) + -107 + 117.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -16. Let o = -15.997 + s. Let k = o - 0.0029901. Round k to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 522 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004037 to 5 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 953015 and 2555?\nAnswer: 953015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-7)\/((l*l**(-2))\/l))\/(l*l**(-1)\/l)**(-2\/7)*((l**(-1))**(13\/6))**14 assuming l is positive.\nAnswer: l**(-748\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in -5, 63, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 6, 0, -3, -2 in decreasing order.\nAnswer: 13, 6, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of 1286*p**7\/35 - 5789*p**4\/24 - 504*p**2. Find the second derivative of a(b) wrt b.\nAnswer: 92592*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22495 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 97271?\nAnswer: 875439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -302008.3 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -60111\/7, -5, -2\/9, -3, -0.015 in decreasing order.\nAnswer: -0.015, -2\/9, -3, -5, -60111\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + j + 6 = 20, -3*v = 5*j - 1. Which is the nearest to v?  (a) 2\/3  (b) 0.4  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37791 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and (-2)\/12 - 436\/(-24).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38353023 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 6. Let u be (26\/(-156))\/((-11)\/(-6) + -2). Sort m, u, 5 in descending order.\nAnswer: 5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.33395 rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b = 12 - 3. What is the common denominator of 95\/28 and b\/(-18)*825\/(-140)*-2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.682045 and 1.1.\nAnswer: 0.7502495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 4. Let g = -129\/4 - -32. What is the closest to j in 3, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**2 + 1. Suppose -6*q + q + w + 8 = 0, 5*w + 20 = 5*q. Let h be i(q). What is the units digit of ((-2)\/2)\/(h\/(-57))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10710, -20761, -30782, -40761, -50686, -60545, -70326, -80017?\nAnswer: -89606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 7:06 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 4*l**2 + 170*l + 105. Let b be o(-42). Let i(q) = 4*q**2 - 55*q - 15. Is i(b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**2. Let c(a) = 5 + 21*a + 5 + 47*a - 3. Let k = 4 + -11. Let t(f) = -23*f - 2. Let w(o) = k*t(o) - 2*c(o). Determine w(h(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14110011 - -1011?\nAnswer: 14111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 15. Suppose r*i = 5*i + 9. What is the nearest to -0.1 in -0.4, 2, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 25*h**2 + 525*h - 532. Let w(s) = 435*s**2 + 8925*s - 9045. Let j(r) = 35*t(r) - 2*w(r). Solve j(q) = 0.\nAnswer: -106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 448095.4 millimeters?\nAnswer: 44809.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -6*f. Let d be ((-4 - -3)*2)\/(-1). Suppose 6*l - d*l - 8 = 0. Let z(b) = 4*b - l*b - 3*b. Calculate -2*y(o) + 11*z(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4*(-2)\/6*150\/4. Suppose 0 = 12*v + h - 350. Solve -5*j + 25 = -3*b, -5*j + v = -b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -t**4 - t**3\/3 + t - 13. Calculate z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 0.5, 86, 9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrojtyoytoio. What is prob of picking 1 j and 2 y?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 292.064 - 7445\nAnswer: -7152.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24304 is divided by 2696?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 45210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -28*p**3 + 10*p**2 - 2 + 7 + 27*p**3 - 4*p. What is the units digit of b(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*b + 6, 4*t = 4*b + 120. What is the remainder when 140 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 168 + -166. Which is the closest to -7?  (a) m  (b) -2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 2*v + 3*b, -4*v = v + b + 99. Let z = 3 - v. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-168)\/16*10\/(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from zpzpzxxxzxz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35) + sqrt(245)\/sqrt(7))\/sqrt(7))**2 + (sqrt(175)\/sqrt(7))\/sqrt(5) + (sqrt(5) - (sqrt(125) + -1)) + -1 + sqrt(5) + -3.\nAnswer: -2*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - l + 1. Let h(c) = c**3 + 3*c**2 - 5*c - 2. Let y be h(-4). Let p be x(y). Solve -p*k = 3*j + 2*k, 0 = -5*j + k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 5:02 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -56 - -52.23. Let i = -0.23 + v. Let o be (-9)\/6 - 2\/(-4). Which is the biggest value?  (a) o  (b) i  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = -5*d + 1109. What is the remainder when d is divided by 178*4\/8 + -2 - (250 - 253)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y - 1104. Let r(d) = 979*d. Determine p(r(v)).\nAnswer: -979*v - 1104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 25, -5, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h - 35. Let l be w(6). Suppose -a + 15 = 2*t, 0*a + 5*a - 42 = t. Let r = a + l. Sort -3, r, -4 in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6159775400 rounded to the nearest 1000000?\nAnswer: 6160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 52\/5 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2598 - 1843. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 734577 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x + 10. Let m be h(-10). Let f(g) = -g - 6. Let p be f(m). Let l be (6\/5)\/(p\/(-15)). Solve -5*n = 4*o - 27, l*n + 11 = -3*o + 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -349*t**2 + 1 + 345*t**2 - 1 - 10 - 7*t - 216*t**3. Is i(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 - 22*z - 659. Determine t(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2923.4295 milliseconds to minutes.\nAnswer: 0.048723825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (68\/2958*-29)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0 + 0)*(66 + 2*z**2 - 71 + z + 0*z).\nAnswer: -4*z**3 - 2*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11173646 and 6798.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 610 - 199 = 137*n. Solve 0 = -n*k + 3*q + 15, 63 = -5*k + q + 80 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 1 + 12 = 2*w, -1 = 5*v - 4*w. Suppose -l + 8 = -v. Calculate the greatest common divisor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 6*h + 7. Let x be i(-5). Suppose 0 = -4*w + x*w - 6. Let q be 6 + w\/3 + 2. Solve -7*n - 4*v + q = -2*n, -13 = -3*n + 2*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-2 + sqrt(7))**2 + 1.\nAnswer: -4*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -2\/17  (b) -1\/4  (c) 1\/18  (d) -39\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 16, 1153, 10, 4 in increasing order.\nAnswer: -6, 4, 10, 16, 1153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/(-6)*14\/3. Let i = p - -7. Solve m - 6 = 3*g, -3*m + i*m + 3 = -4*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 184 - 557\/3. Let k be (0\/2)\/(143 + -141). Let g = -5.6 + 6. What is the biggest value in -4, a, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10434.\nAnswer: 2, 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8409 times 9?\nAnswer: -16.5681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*u = -15*u - 2104. Let i be u\/(-10) + 21\/35. Is i smaller than -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3030 is divided by 190?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25732 and 112.\nAnswer: 102928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4233 (base 5) to base 3\nAnswer: -210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -27*f - 648. Give k(-8).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -2) + -38 + 24\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 10*j**2 - 9*j - 22. Let f be c(11). Suppose -p + 16 = -f*w + 4*w, 5*p = 5*w + 5. Is w equal to 11\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**3 - 9*c**2 - 9*c - 62. Calculate l(-6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -12. Suppose -l + z = -z - 19, l - a*z = 29. What is the remainder when 25 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110011 - -1110000100010?\nAnswer: 1110100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2624\/7 + 9831\/28. What is the common denominator of m and -13\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -3\/4  (c) -1.5  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 187*d - 170*d - 221 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**4\/24 + 2*s**2. Let b(x) = -12 - 3 + 14. Let u(c) = -4*c - 12. Let r(y) = 24*b(y) - 2*u(y). What is r(t(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**3*z**(-27\/5))\/(z**(-4\/9)\/((z*z**(-13)*z)\/z)) assuming z is positive.\nAnswer: z**(-628\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 957*x - 850*x + 3317 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 53 = 22. Let j = z + 18. Suppose -5*i - 4 - 1 = 0, 4*y + j*i - 225 = 0. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 2590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y. Let f be s(8). Let u = f - 4. Suppose -3*n + 4*i + u = 1, -4*i + 3 = -5*n. Sort -4, n, 4 in descending order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-2 + sqrt(176) + sqrt(176)*-1 + -4 - (sqrt(220)\/sqrt(5) + sqrt(11) + -3 + 0 + sqrt(11)))*5)**2.\nAnswer: 560*sqrt(11) + 4596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -1. Solve k*f + 5 = -3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 82 and 274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 3 = 0, -4*a + 5*q - 1 = -0. Let u(s) = -1 - a - s + 5. Calculate u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*k - 25 - 5*k**2 + 16*k with respect to k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*d - 280417 + 81891 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2693\/114 + 11\/38. Find the common denominator of l and 21\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 plus 832.8?\nAnswer: 728.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 10626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 375 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267.736 <= -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*h - 280873 + 280942 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(4\/5)\/c)\/c)\/c**(5\/6)*((c*c**0)\/c)**(-46) assuming c is positive.\nAnswer: c**(-61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8988 (base 12) to base 5.\nAnswer: 441344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**3 + 5*f**3 - 8*f**3 - 5*f**3 + 2*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x + 1, -1155*d - 32 = -1159*d + 8*x for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {l: 3, u: 9, g: 2, j: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from gxguxuxxuguugggggx.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -12*v - 9. Let c be q(-6). Suppose 3*o + 3*l - 29 = 2*o, -l + c = 3*o. What is the remainder when o is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, c: 4, l: 1, r: 1, g: 1, h: 2}. Give prob of picking 1 u, 1 l, and 1 r.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2077 - 4?\nAnswer: -2081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 77 - 67. Suppose 5*d - j = -0. Find the third derivative of -45*w**d + w**2 + 14*w**2 - w**5 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**2 - 3*r**2 + 2*r**2 + (0*r - r + 0*r)*(-1 + 1 - r) - 3*r**2 + 2*r**2 + 2*r**2 + 2*r**2 + 0*r**2 - 5*r**2 - 5*r**2 + 7*r**2 + 9*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5452 + -5457. Is j at most as big as 368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191495537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1356.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 12*d**3 - 7*d**2 + 14*d + 35. Let f(u) = 4*u**3 - 2*u**2 + 4*u + 12. What is -7*f(i) + 2*k(i)?\nAnswer: -4*i**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4 - b + 1 - 4*b. Suppose -j = 3*j. Let f(o) = 1 + o + j*o - 2*o + 2*o. Give -a(y) - 4*f(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 947.9222 litres in millilitres?\nAnswer: 947922.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, r: 1, a: 2, g: 2, w: 1, l: 1}. Give prob of sequence argl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21989, -2\/23, -2\/7, 3 in descending order.\nAnswer: 3, -2\/23, -2\/7, -21989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4223485988.\nAnswer: 2, 47, 3461, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3148\/(-7) + -2*(-6)\/(-42). Let l be (u\/27)\/((-2)\/24). Calculate the greatest common divisor of 30 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*d*i**3*w**2 - 5382*d*i**3 + 44*d*i**2*w**2 - i**3*w + 21*i**2 - i*w**2 - 5*w**2 wrt i.\nAnswer: -72*d*w**2 - 32292*d - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 46 = -3*x, 0*x + 40 = 2*x + 2*s. Let l be 1\/6 + (-3)\/x. Solve f + 1 = -l*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3123, 6248, 9373, 12498, 15623?\n\"Answer: 3125*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*o - 62*o = -1210. What is the highest common factor of o and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 11, -1\/8, 2, -2, -31065?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rpi when three letters picked without replacement from pqirqqriiih?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - ((-140)\/(-8))\/5. Let z = -80 + 73. Is z smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 102 and 1984180.\nAnswer: 101193180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of b**6\/24 - 7*b**5\/60 + 4*b**2. Find the third derivative of m(f) wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -15*i - 4. Let j be r(-9). Suppose -4*z = 4*x - 140, -4*z + 4*x + j = -x. Factor -39*d - 64 + z + 94*d - 20*d**2.\nAnswer: -5*(d - 2)*(4*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2657892 divided by -664473.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - a + 8. Calculate v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -1. Let x(l) = l + 4. Let a = 938 + -933. Give a*x(d) + 20*f(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/(-1683))\/(14\/(-63)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -17, -14, -11, -8, -5?\n\"Answer: 3*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 514.276727 to 2 dps.\nAnswer: 514.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighty-seven quarters of a decade?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368 = -3*y - 4*h, 3*y - 2*y + 2*h = -126. Let s = 32 + 153. Let b = s + y. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 28*i**3 + 2*i - 1. Let w be g(1). Let a = -21 + w. Suppose 4*x + b - 22 = x, x + 4*b = 0. What is the least common multiple of x and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*-2*sqrt(88))\/(2*1*sqrt(8)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.8 minus 20.1?\nAnswer: 69.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3720*u**2 + 2389*u?\nAnswer: -7440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -119041 - -7499783\/63. Let y = p - 26\/9. Which is the third smallest value?  (a) -6  (b) 0.3  (c) -0.3  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - 4)\/(4\/20). Solve p = -n + b*n - 6, -2*n + 2 = -p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from mxeexpxvmmml.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20152 and 96128704?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.5+20435722\nAnswer: 20435721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267310 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -50*q**2\/7 + 2314*q\/7 + 2364\/7 = 0.\nAnswer: -1, 1182\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10607058*g**2*k**4 - 30*g**2 + 32295*g*k - 2 wrt k?\nAnswer: 127284696*g**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-18))\/(-1 + 12 - 5705\/489).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + g + 32 = 27, d + 5*g + 13 = 0. Let x be 7*2\/12 + d\/(-4). Suppose -x*a**4 + 0*a + 2\/3*a**5 - 2\/3*a**3 + 2\/3*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: What is the ten thousands digit of 14092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rssssrrrsssyrrrsryqr. What is prob of picking 2 y?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 PM and 7:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o = 27*o - 90. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -17 + (28312 - (-204)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -7*i + 154. Solve -i + 13 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -180443 + 113758. Let h = b - -5334711\/80. What is the common denominator of h and 41\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70199998 = 2*o + 2*v, 6*v - 2*v + 70200004 = 2*o. Suppose -5*b - o = -2*b. What is b rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 19*t - 39. Let b(k) = -13*k + 26. Determine -7*b(c) - 5*i(c).\nAnswer: -4*c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 49974421 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 22095*(-7 + -2 - 0). Let c = n + 538855. Round c to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 162 divide 971403192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2. Let p(c) = -c**2 - 8*c - 5. Let l(b) = -b - 2. Let j be l(5). Let d be p(j). Let n(v) = -4 + 0 + 4 + 3*v**d. Calculate n(w(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*t**2 - 1779*t - 17236 wrt t.\nAnswer: 10*t - 1779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 1, -144, -5 in increasing order.\nAnswer: -144, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -3\/5, 3, -1, -47 in decreasing order.\nAnswer: 3, -0.3, -3\/5, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -231?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-33)\/(-12) - 1\/(-4). Solve 0 = 2*j - k*l + 18, 5*j - 5*l + 31 = -l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 924039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/13, -0.002, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -25196?\nAnswer: -12598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jbjynjojnyunjjjuu. Give prob of picking 1 y and 1 j.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.26953 to two decimal places.\nAnswer: 11.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -563 (base 15) to base 11\nAnswer: -a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -284084 divided by -124.\nAnswer: 2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 4*f + 28 = 3*c, -2*c - 3*f = 6. Let d be c*2*(-3)\/(-18). Sort d, -2, -4 in increasing order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 416*x**2 + 1318*x**2 + 158*x**2 - 217*x**2 in the form a + t*x + q*x**2 and give q.\nAnswer: 1675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 77*g + 49. Let o be t(-4). Calculate the common denominator of (44\/28 - 1)*o\/(-90) and 121\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i + 11. Let t(d) = d - 10. Let g(s) = 6*c(s) + 7*t(s). What is g(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-25)\/(-10))\/((-2)\/(-4)). Suppose -n - 8 = -c*n, 4*n = -w + 10. Suppose -3*l - 5*f = 11, -w*l + 2*f - 1 = -5*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u**2 - 2*u + 7. Determine v(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (93\/((-40176)\/96))\/(10\/9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3375*c + 2686*c + 162898 = -321982 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 14855540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 PM and 4:29 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 513074, 1026127, 1539182, 2052239, 2565298, 3078359, 3591422?\nAnswer: 4104487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -4*p**2 + 58*p - 247. What is u(6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = z - 9 + 5, z + 4*s = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -198099 divided by 297\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -13*f**3 - f**2 + 38*f - 84. Calculate v(3).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 15, e: 5}. Give prob of sequence eve.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**3\/5 - 384*x**2 + 1257638*x\/5 - 3204084 = 0?\nAnswer: -1410, 13, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -1\/3*o**3 + 2*o**2 - 5\/12*o**4 + 2*o + 0 + 1\/20*o**5. Calculate l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -4*q + 0*q**3 + 3\/8*q**4 + 0 - 29*q**2. Let i(g) = -49*g. Determine z(i(a)).\nAnswer: -441*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2779674253 + 0.02.\nAnswer: 2779674253.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-28)\/(-6) + (-4)\/6. Let n = -59.57 - -58.57. Which is the third smallest value?  (a) q  (b) -3\/7  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2653239 = -32*v + 2115241. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27150, -54274, -81410, -108558?\nAnswer: -135718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9348 by 3.\nAnswer: -3116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1 + 0*q**3 + 4 - 3*q**3 - 4*q**3 wrt q?\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -110437, -220857, -331291, -441745, -552225, -662737, -773287, -883881?\nAnswer: -994525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -1\/2  (b) 0.02  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 1 - (-7 + 54 + -57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*g**2 - 4 - g + 16*g**2 - 5*g**2 in the form q*g**2 + r + x*g and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13 - -6 - (-2 + 0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -1\/40, 0.103334, -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 130109 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/3685?\nAnswer: 2\/3685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(3 - (-14)\/(-4)). Let z be 2 - o*(1 - 2). Solve -5*a - 4 + 14 = z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 80 and 1824485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2209 + 2211. Let j(b) be the first derivative of 3 + 2\/9*b**3 - 1\/8*b**4 + 5\/12*b**u - 1\/3*b. Suppose j(m) = 0. What is m?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(156)*1 - sqrt(156)) + ((sqrt(156) + sqrt(156) + 1*sqrt(156))*1 - sqrt(156)))\/(6*sqrt(768)*-1).\nAnswer: 5*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10478*a**2*p**2*t**3 - 269*a**2*p**2 + 5097*a**2*t**2 - 4*a**2*t - 2*a**2 - 4*a*p*t**3 + 4*p*t**3 - 3*p*t wrt p?\nAnswer: 20956*a**2*t**3 - 538*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.19?  (a) 35  (b) -3  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6334*k - 6301*k + 99 = 0. Let v(b) = b**3 + 6*b**2 + 2*b + 8. Let q be v(-6). Put 0, k, q, 1 in descending order.\nAnswer: 1, 0, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + -9)*(438\/(-1168))\/(15\/(-12) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 8. Let w be 1 + (-6)\/10 + 0. Let f = 1247.9 + -1248. What is the closest to w in f, m, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - b + b)*(-1001*b**2 + 1991*b**2 - 1 - 974*b**2).\nAnswer: -16*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -20, -2, 50, 148, 304, 530, 838?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*t - 4*s - 10 = -17*t, 2*t + s - 5 = 0. Sort -2, 7, t in decreasing order.\nAnswer: 7, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2353 + 337974\nAnswer: 340327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a. Suppose 0 = 8*b - 9*b - 3. Let h be n(b). Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70 divided by 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/75*3)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 1  (c) -340  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -13*n - 22 - 8. Factor 0*z + 0 + 0*z**3 - 5\/3*z**n + 5\/3*z**2.\nAnswer: -5*z**2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 512, 1068, 1624?\nAnswer: 2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1964.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 4*m + 440 = 0, -v + 2*m - 218 = 3*m. Let q be 24\/v + (0 - 124\/18). Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76150175 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6027 and 54.\nAnswer: 6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w. Let l(i) = -8*i - 256. Let c(z) = -10*z - 248. Let j(t) = -3*c(t) + 4*l(t). Calculate j(o(u)).\nAnswer: -2*u - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2839.91 + -2854. Round j to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66374?\nAnswer: 2, 7, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -103 - -104. Let k = -83.63 - -84. Let f = 0.03 + k. What is the closest to s in 1\/4, 4\/5, f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5 or -63?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8960231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 - 29*p + 81. What is the hundreds digit of g(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140*s - 83250 = -5*l + 144*s, 2*s - 33282 = -2*l. List the prime factors of l.\nAnswer: 2, 7, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/30 - (-274962)\/15. Suppose -i - 28079 = -5*o. Suppose 3*t - k = 8461, -2*t - 2*k - 3652 + o = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.54107401 to 3 dps.\nAnswer: 5.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -13*w**2. Let q(b) = -838*b - 864. Give q(s(r)).\nAnswer: 10894*r**2 - 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1784, -4, -2.\nAnswer: -1784, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 43 + -23 + 3 + -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 246097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1003680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-14)\/((-18)\/8 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(4\/(-32))\/((-12)\/(-48))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2780, 2912, 3138, 3458, 3872, 4380, 4982?\n\"Answer: 47*d**2 - 9*d + 2742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29172 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 959 divided by -7\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**10\/n))**10)**(7\/2) assuming n is positive.\nAnswer: n**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r + 6. Let p be j(-4). Suppose p*h - 30 = -5*o, -h - 2 = h - 3*o. Let t be h\/(-5)*6\/(-2). What is the third biggest value in t, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 24 = 33 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 11*u**2 - 12*u - 15. Let g be o(-10). Suppose 3*n = -4*r - n, -2*r = -g*n - 28. Let b be 1\/r + 0\/2. Sort 5, -0.2, b.\nAnswer: -0.2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 224 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 3. Let y = -28665.9 - -28666. Put l, 2, y, 5 in ascending order.\nAnswer: y, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7211\/2 greater than or equal to -3605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 15 + 3 - (39 - 32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/27  (b) 0  (c) 20  (d) 0.16  (e) -2\/5  (f) 4  (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 397131211.\nAnswer: 191, 619, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/4 - 64406\/(-440). Let k = w - 1482\/11. Calculate the common denominator of k and (-21)\/14*7\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 35160*(0 + (-20)\/6). What is g rounded to the nearest 1000?\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 246*d**4 + 3*d**3 - 3*d - 124. Let x(c) = -246*c**4 - 4*c**3 + 4*c + 123. Let b(h) = 3*x(h) + 4*y(h). Differentiate b(r) with respect to r.\nAnswer: 984*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15026 is divided by 3413?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3888 and 250776.\nAnswer: 501552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90\/(-18)*(-1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 86818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 5*f**2 + f + 3. Let d be z(5). What is the highest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*o = -3396 + 2062 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m + 4. Let f(w) be the third derivative of -3*w**4\/8 + 2*w**3 - 5*w**2. Let q(i) = -7*c(i) + 2*f(i). Let u be q(5). Is u bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 13*o**2 - 2*o - 3. Let u be h(3). Calculate the greatest common factor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 2 + 2)*(6047 - 6047 - 143*d**3)*(5*d - 5*d - 3*d + (1 + 2 + 0)*(5*d - 2*d - d)).\nAnswer: 858*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 + 2)*(c + 3 - 3) to v + y*c and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-84)\/(-18) - 5)*(-2 - 1). Solve c - m + 19 = -4*j, 3*j - 3*c = -6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000012024 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 985 - 955. Suppose t = -5*w - 27, -5*t + w - 4*w = 69. Let i = p + t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1677 is divided by 3 + 1\/((-14)\/38) - (-280584)\/504.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4119 and -0.09?\nAnswer: -370.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 214511513 and 0.037.\nAnswer: 214511513.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 539 + -919. Calculate the remainder when (-1)\/(-3) - l\/30 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(15\/35)\/((-2)\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b - 35*b - 3*b.\nAnswer: -47*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -177, -3, -809 in descending order.\nAnswer: -3, -4, -177, -809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 83 + 63 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14715496 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 2 + -2 + 174. Suppose -10 = 2*j, 2*n - 43 = -j + u. What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/47352 and 91\/47352?\nAnswer: 47352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of 0 + 6*j + 1\/12*j**4 - 5\/2*j**2 + 1\/2*j**3. List the prime factors of u(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 33898.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -9*v + 18. Give l(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w - 6. Let m(d) = d**2 - 1. What is -6*m(o) + v(o)?\nAnswer: -6*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 6) to base 13.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 7:16 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - z - 16, z + 3 = -2*k + 12. Let q(s) = -k - 1 - 7*s + s**2 - 1. Let r(d) = 7*d - 1. Let h be r(1). Calculate q(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 277420 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -58*f + 204. Let b(v) = 6*v + 1. What is 10*b(p) + w(p)?\nAnswer: 2*p + 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 4*d + 32 = 0, -w + 0*w + 4*d = 26. What is the common denominator of 2\/w*3*183\/(-72) and -37\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.2, -0.4, -2, 6, 60564?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v**3 - 13*v**2 - 4*v + 25. Let a be s(-5). What is the greatest common divisor of 95 and a?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 6*b**2 - 5*b - 2. Let f be (4\/6)\/(4\/18). Suppose 4*i = -4*s - 24, f*s - i + 2 = -12. Calculate m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - 2 + m**2 - 8*m**2 - 5*m - 2*m**3 - 3*m. Suppose -3*b - 24 = b. Calculate the lowest common multiple of c(b) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*c - 90*c = 100*c + 87*c + 6422 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 3370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 + 4 - 3)*(-6 + 3 - 2) + 1 - 1 + 4)*(-x - x + 3*x)*(4 - 2 + 0) to m*x + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*m**2 - 33*m**2 + 13*m**2 - 160 + 12*m**2.\nAnswer: 3*m**2 - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62.83518 litres to millilitres.\nAnswer: 62835.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-29)\/(4002\/(-4)))\/((192\/(-18))\/(-16))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 15 = -4*t + 2, 13*t = 5*b - 37 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 80 and 13.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 3*l**2 - 3*l + 4. Let c be x(3). Let j be (-21)\/5 - 8\/(-40). Is ((-70)\/j)\/(c\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**2 - 1529424*x - 1529427 = 0 for x.\nAnswer: -1, 509809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 15*n**2 + 16*n - 1. Let f be o(14). What is the common denominator of 10\/7 and -9 - -8 - (1 - 3\/f)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 7. Solve -2*o**3 + 0 + 2 + 4*o**2 + g*o + 0 + 3*o**3 = 0 for o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4046043 is divided by 1348663.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*f + 3*f - 2*f)*(-3 + 5 - 1)*((-8 - 8 - 3)*(-4*f + 8*f + 10*f) + 22 - 22 + 35*f) to the form s + j*f**2 + x*f and give j.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-150)\/(-375)*(57\/(-2))\/3\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.04 - -2. Let o = m + 0.04. Put 1, o, -0.2 in decreasing order.\nAnswer: 1, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**4\/6 - 54*v**3 + 5400*v. Factor s(q).\nAnswer: 2*q*(q - 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*l + 3*l - 1895. Let d = -349 - l. Which is smaller: 24 or d?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 6)*(-1496 + n**3 + 2*n + 1495 - 3*n + 3*n**2).\nAnswer: 2*n**3 + 6*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 8*d**2 + 7. Suppose -16*x + 27 = -21. Let w(l) = x*l**2 - 15449 + 15449. Determine f(w(p)).\nAnswer: 72*p**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -5962.49607 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 + 12*j + 22. Let w be m(-10). Solve 0 = -w*c + 9 - 1, 2*c = -o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1191 * -4.41\nAnswer: -0.525231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v - 2*v + 4*v + c = 4*v + 16, -5*v + 4 = -c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of u**4\/4 + 8*u**3\/3 - 9*u**2\/2 + 4*u + 1. Let d be j(-9). Which is the smallest value?  (a) 0  (b) d  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59.6 + -60. Which is the second smallest value?  (a) -1\/10  (b) z  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4616235?\nAnswer: 3, 5, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + r**2 - 2*r)*(3 - 2 + 2)*(16*r + 25 - 25).\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 5 - 4031*y**3 - 1 - 6.\nAnswer: -4031*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**2 + 1 - 3*k**2 - 3*k**2 + 7*k + (k - k - k)*(2*k + k - 5*k) + 0*k**2 + k**2 + k**2 in the form i*k + r + v*k**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 293*i**2 - 2559*i + 575305. Calculate k(291).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 16. Suppose 3*n = d*n - 88. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/90*18)\/((-8)\/20). Let l be (-5 + 1 + 6)\/1. What is the nearest to 2\/7 in l, r, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -806, -1613, -2420, -3227, -4034?\nAnswer: -4841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3390343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 114 = 2*w. Let r = w - -24. Let m = r - -53. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + k - 3*k + 1 + k - 1 + (-4 + 1 + 1)*(4 - 4 + 2*k) - 251*k - 255*k + 469*k.\nAnswer: -43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(567) + sqrt(567) + -1 - sqrt(567)) + 0)*3 + -2)**2.\nAnswer: -108*sqrt(7) + 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 430, 272, 114?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((-21)\/42*1\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3452, -13382, -29792, -52682, -82052?\nAnswer: -117902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 55, 174, 355, 598, 903?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1053232.\nAnswer: 2, 65827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -105*g**2 - 5976*g + 6618. Determine k(-58).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 120 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.14615 or 173\/14?\nAnswer: 173\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/13 or 1067?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 367978 and 0.0146 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 42*p**2 - 138*p - 132. Let y be k(-45). Suppose -3*b + 139 = 3*l - 182, 336 = y*l - 2*b. What is the least common multiple of 33 and l?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1696*p - 198*p + 291*p = 1194*p - 95098 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 117 + -122. What is the third biggest value in 2\/3, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27196*0.05\nAnswer: 1359.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 77*d - 674. What is w(67)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 3*m**2 - 2*m - 5. Let l be a(4). Suppose 0 = l*r + 2*r + 5. Let j be (3\/(-21))\/(r\/(-3)). Are 0 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 18*g = -26. Let j(m) = m. Give j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 5:36 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7600*c**4 - 5270*c + 15103235?\nAnswer: 30400*c**3 - 5270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 7399 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -32 - 0. Let j = 10 - f. Let t = 2 + j. Which is the smallest value?  (a) -2\/3  (b) t  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1055*186.\nAnswer: 19.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 67\/((-1005)\/(-20))*2\/(-136)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 1. Let h be -5*q\/(-4)*4\/(-5). Solve -h = -3*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.02  (b) -16  (c) 2  (d) -5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -3 + 86 + -80 - (0 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -10*h - 14. Let d be a(-5). Let j = -16 - -40. What is the greatest common divisor of j and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*o**3 + 475*o**3 - 112*o**3 - 122*o**3 - 119*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1045082010 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(260) + (sqrt(260) - sqrt(260)*-1) + sqrt(260)))\/(4*sqrt(405)).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v. Let s(t) = 23320*t**2 + 4*t - 4. Determine d(s(n)).\nAnswer: 23320*n**2 + 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -320480 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -51 + 50.999995. Round a to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (-2)\/((-6)\/15). Suppose -65 = h*u + 10. Let v = u + 16. Let g(r) = -6*r + 6. Let c(b) = -b + 1. Determine v*g(s) - 4*c(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j + 1. Let y be v(4). Let m be y\/(5\/2 - 1). Is 79\/9 + m\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 3 + 1 + -5 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -189*d**3 + 528*d wrt d.\nAnswer: -1134*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109299?\nAnswer: 3, 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1082*k**2*o + k**2 + 3*k*o - 2*k + 31516*o wrt k?\nAnswer: 2164*k*o + 2*k + 3*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -46 - -48. Calculate the greatest common factor of 16 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1068335 + 1080*r**4 - 2*r**2 + 1068335 + 3*r**4 + 0 + 0 + (-2*r**3 + r**3 - r**3)*(0*r - 4*r + 5*r).\nAnswer: 1081*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5093751839?\nAnswer: 11, 509, 909761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 442423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 563, 606, 659, 728, 819?\n\"Answer: s**3 - s**2 + 39*s + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1740 divided by 10.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/248 and 107\/120.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 169.574 + -170. Let d = b + -0.074. What is the nearest to 0.1 in d, -2\/5, 2.9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*b**4 + 124*b**3 + 44*b**2 - 1519*b wrt b.\nAnswer: -72*b**2 + 744*b + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1165432?\nAnswer: 2, 145679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 + -22110022201?\nAnswer: -22110022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -h + 4*i + 2, 24 = 4*h - 4*i. Suppose -6 = -h*g - 0*m - 2*m, -m = 2*g - 4. Let q = 2339 + -2339. Which is the nearest to q?  (a) 3  (b) 2\/5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 16, 230, 824, 1990, 3920, 6806, 10840?\n\"Answer: 32*h**3 - 2*h**2 - 4*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -300404 (base 5) to base 7\nAnswer: -36431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 9, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 - -0.02. Suppose 2 = -r - 0. Let u(p) = 2*p + 3. Let j be u(r). What is the nearest to y in -4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 33, 421, -4, -1, 1, 4 in decreasing order.\nAnswer: 421, 33, 4, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 841193 or 1682385\/2?\nAnswer: 841193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18 + 21. Suppose -324 = -5*u + i - 45, -3*u + x*i = -177. Suppose 5*j = u + 5. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 + 5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/14 - 1*(-4)\/(-21). What is the nearest to -1 in -3, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -33, -5.\nAnswer: -33, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 211 + 820*o - 60 - 801*o wrt o.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.01 + -8.99. Let q = z + 8.9. Which is the smallest value?  (a) 4  (b) q  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a - 3. Let d = -2 + 1. Let j be -3 - -1*(0 - d). What is the remainder when 11 is divided by x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a - 2. Let c be m(3). Let u = 17 + c. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 6:57 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.8 + -6. Let n = 0.1 + f. What is the third biggest value in 4\/9, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4*((-958)\/6)\/(12\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = 38*q - 25 - 47 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooff when four letters picked without replacement from {f: 5, d: 8, o: 4}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 5*l + 10. Let h be ((-12)\/15)\/(l\/5). Let n = 67 - h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of 43*m**4\/6 + m**3\/6 - 761*m**2\/2 + 9*m - 4. Differentiate i(w) wrt w.\nAnswer: 172*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/(-8))\/(3\/(-4)). Let o(j) = 4*j**2 - 24*j - 9. Let p(y) = -y**2 + 6*y + 2. Let q(a) = k*o(a) - 9*p(a). Find the second derivative of q(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2907562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -391 + 386.41. Let v = r + 4.6486. Round v to three dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -201.1251 - -200.399\nAnswer: -0.7261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2*k = 14, -y - 14 = 3*k + k. Let p = 1104 + -1102. Solve -p*q = -5*q - y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 89, 124, 123, 92, 37, -36, -121, -212?\n\"Answer: u**3 - 24*u**2 + 100*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1b84a91 (base 12) to base 13\nAnswer: 12b6449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) - -1*(sqrt(637) + 2 - sqrt(637)))**2 + 0 - (3 + (5*sqrt(208)*-1)**2 + sqrt(208)).\nAnswer: -4562 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 65.29191 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.7 + -1.2. Let q = 7.7 + p. Let c = 9 - q. What is the second biggest value in c, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50 by -18.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*l + 41, l + 1 = 4*r - 0. Suppose -4*y = -l*y + 15. Let j = -1 + 0.6. Which is the closest to 3?  (a) 0.5  (b) y  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42\/10 + 14\/(-70) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3708 and 52269.\nAnswer: 64604484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*m - 255*m + 245*m = 665 for m.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 6*n**2 - 3*n + 623. What is t(-4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0482 and -4585?\nAnswer: 4585.0482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 0*w = 4*a + 4195, 2*w = -3*a + 1655. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(5472))\/((2*sqrt(12) - sqrt(12))\/sqrt(6)) + sqrt(76)\/(-1*sqrt(4)*4)*6.\nAnswer: 21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2309162 to the power of 1\/2, to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 8. Let b be (w + 4)*(1 - 4). Solve x = -s - 6, 2*s = -b*x - 0 - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 1444 = 4*t, 3*y + 284 = 4*y + 2*t. Suppose 2*m + 4*v = y, 6*m - 7*m = -3*v - 146. Calculate the greatest common factor of m and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00137050822 rounded to 6 decimal places?\nAnswer: 0.001371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3024\/815 + -18\/163. Let z = 24.1 - 23.8. Which is the smallest value?  (a) 5  (b) y  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m**2 + 53*m - 5. Let t(l) = -2*l**2 + 27*l - 3. Let j(f) = -3*a(f) + 5*t(f). Let u(z) = -5*z**2 - 9*z - 13*z + 22*z. Calculate j(u(k)).\nAnswer: -25*k**4 + 120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.2134 rounded to two decimal places?\nAnswer: 9.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 713*l - 1430*l + 711*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + 15*b + 32. Let i(n) = -n**3 - 2*n**2 + 5. Let k be i(-4). Let x = k + -51. Let o be v(x). Solve -y + 5*p - o = -0*y, 2*y - 5*p = -16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 + 8*p**2 + p + 9. Let o be d(-8). Find the common denominator of 79\/64 and o - 2466\/12*(-2)\/18.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*116.\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 656 and 574.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 2578a14?\nAnswer: 2578a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 484.68 take away 2187?\nAnswer: -1702.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3920\/50)\/28*-9*15\/9?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-17 - -11) + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4058\/3 + 1352. Let w = 9.07 - 9.8. Let f = -0.23 - w. Which is the nearest to -2\/9?  (a) k  (b) f  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 377 - 768 + 378 - 12238*c**3.\nAnswer: -12238*c**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/((-30)\/8*15\/(-75)). Suppose 0*n + 5*n + r*n = 0. What is o in 0*o**2 - 4\/5*o**3 + 0*o - 2\/5*o**4 + n = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-6))\/(10\/285). Let d = t + -16. Factor 0 - 4*s**2 + s**2 + d*s - 12*s + 12.\nAnswer: -3*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -1, 0.2, -3\/14, 3, -0.16, 21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22916 - 22769. Which is greater: s or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 11. Let x(d) = -2*d + d**3 + d + 2*d - 4*d**2 - 5. Let r be x(l). Let u(f) = 6*f**3 + f**2 + 2*f + 1. Give u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that z**5\/11 + 30*z**4\/11 - 167*z**3\/11 + 276*z**2\/11 - 140*z\/11 = 0.\nAnswer: -35, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(-2)*x))\/x)\/((x\/((x\/x**(-2\/11))\/x))\/x)*x**3\/(x**(2\/9)\/x)*(x**(-4\/7)*x**4)**33 assuming x is positive.\nAnswer: x**(81845\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*-1 + 64\/34. Let l be 0\/(1*3\/1). Suppose 4*x - 5*x = l. What is the third biggest value in x, f, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -134 + 213. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 5)*(2*c - 3*c + 0*c) + 6 - 771*c + 2551*c - 2 + 4.\nAnswer: 1778*c + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - -27 - (6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -550 + 2450. Is 38 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 - -3. Solve -3*t - 7 = -l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -18, -3.\nAnswer: -18, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-2))\/((-1)\/12). Suppose -4*r - 2*m = -g, -2*m + m = 1. Suppose 0 = 2*w + 5 - 13, -p + 41 = r*w. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34225320.\nAnswer: 2, 3, 5, 73, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (12\/15 + (-3)\/5)*1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-26)\/(-5))\/(4\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/36)\/((-2)\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0.021, -1, -5?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a3 (base 15) to base 10.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111001101100 (base 2) in base 4?\nAnswer: 1321230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.07 - -0.13. Put 2, w, -4 in increasing order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 3*z. Suppose 0*r - r = 2. Sort 4, r, z in decreasing order.\nAnswer: 4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/20 - 63\/60. Let f = -747\/5 + 148. Let c = f - -2. What is the second smallest value in c, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*p + 1221 = 5351 for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**2 + 20030*j + 60081 = 0.\nAnswer: -20027, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1684 - -1697. What is the remainder when 140 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550074 is divided by 11703.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + v**2 + (6*v - v - 3*v)*(-v - 3*v + 6*v) - 4*v**2 + 0*v**2 + 3*v**2 + (-v + v + v)*(-4*v + 2*v + 6*v) + 3*v**2 - 1 + 1.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20*4\/160)\/(((-28)\/4)\/(-406)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -352 + 520. Let l = 3037858491 - 3037858659.0000093. Let n = t + l. Round n to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -600*w**2. Suppose 12*j + 193 + 107 = 0. Let k(m) = 75*m**2. Let g(c) = j*k(c) - 3*o(c). Let x(d) = 2*d. Determine g(x(u)).\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2102012111102 (base 3) in base 11?\nAnswer: 7a726a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 3:50 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -1 + m + 7 + 2*m. Let a(r) = 4*r + 7. Let q = 2 + 2. Let g(o) = 2*o**2 - 75*o + 347. Let f be g(32). Determine f*s(l) + q*a(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, x: 8, t: 7, q: 2}. Give prob of sequence xqyx.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -185132 - -185300.738. Let y = 169 - o. Let g = 0.038 + y. Which is the second biggest value?  (a) g  (b) -1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*b + 36 + 69 - 59 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 3*m**3 + 53*m**2 + 10*m - 1. Let x(f) = f**3 + 25*f**2 + 5*f. What is 3*b(q) - 7*x(q)?\nAnswer: 2*q**3 - 16*q**2 - 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**5 + 3*h**5 - 4*h**5 + (0*h + 0*h + h**3)*(3*h + 5*h**2 - h - 2*h**2).\nAnswer: 4*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 230065 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.4804 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, z: 3}. Give prob of sequence za.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -65*g. Let a(p) be the first derivative of 5*p**3\/3 + 2*p - 10672. Give a(j(w)).\nAnswer: 21125*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12136 and 444.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 105.985 - 107. Let x = -0.9 - m. What is x rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 464104 + -55.\nAnswer: 464049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, z: 1, i: 6, q: 1, j: 3, p: 4}. Give prob of picking 2 i and 1 j.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 141 - (49 - (49 + -154))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9952.432ug to kilograms.\nAnswer: 0.000009952432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 + -8.94. Let v = g + 4. Let u = 0.28 + -0.26. Sort v, u, 2.\nAnswer: v, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -137 times -2114\nAnswer: 289618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 26.3  (b) 4  (c) 4\/3  (d) -4  (e) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 88315109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4294639497 rounded to 2 decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -8*c + 50. Let b be v(6). Let r(z) be the second derivative of -3*z + 1\/2*z**3 + 0 + 1\/12*z**4 + z**b. Factor r(t).\nAnswer: (t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 times -57980?\nAnswer: -39426400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 0*b**3 - 2 + 7*b + 6 - b**3 + 0 - 3*b**2. Let h be (9 - 8) + (-3*3)\/(-1). Suppose -3*k - 27 = 3*i, -5*k = -3*i - h*k - 35. Determine l(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-1*31\/62.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100100100 (base 2) in base 15?\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 38 - 3 = 4*b, -4*b = 5*r - 41. What is the remainder when (-237)\/(-9) - (-6)\/b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 14\/3*f**5 - 230*f**2 + 108*f - 430\/3*f**4 - 1430\/3*f**3 = 0. Calculate f.\nAnswer: -27, -3, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 4049553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, -22, 0.4, 3\/8, 1614\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-5)*x)\/(x*x**(-3\/4)))\/(x**(-3)\/(x**(-1\/4)*x)) assuming x is positive.\nAnswer: 1\/sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3  (b) -2\/17  (c) -1\/53  (d) -5  (e) 0.2  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (0\/1)\/((-12)\/(-6)). Solve -5*f = 4*d - 23, 5*d - 2*d = f + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 219 in 66007, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/303147 and -52\/369.\nAnswer: 12429027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of m**4 + 12*m**3 + 620*m**2 - 19736?\nAnswer: 4*m**3 + 36*m**2 + 1240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 6:40 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l. Let m(u) = -2*u**2 + 3*u - 2. Let y be m(2). Is o(y) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) - ((sqrt(119)*-1 - sqrt(119)) + sqrt(119)))*6)\/(sqrt(7) - -4*sqrt(28)) + 4.\nAnswer: 4 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-4*(42\/24)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**2 - 8*j**2 + 0*j**2 + (1 + 0 + 0)*(-73*j + 73*j + 63*j**2).\nAnswer: 58*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -22. Suppose 2*j = -0*j + 100. What is the greatest common divisor of i and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40028, -320234, -1080800, -2561906, -5003732?\nAnswer: -8646458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26864659169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2262*z - 2259*z - 576 = 0. What is the least common multiple of 11 and z?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 342.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 461 divide 1361885111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {v: 5, w: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 4*c - 10. Suppose 0*y = c*y + 50. Is -2 - 1*(1 + y) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 187 by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 193*j + 35 = -196*j, 152*l - 56 = 144*l - 5*j for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4242703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50848 and 36547?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + 5*t - 10. Let s be f(4). Let h(l) = 1. Let r(j) = 41*j**2 - 16*j - 6. Let v(q) = s*h(q) - r(q). Find the second derivative of v(d) wrt d.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b. Let n(s) = s - 14. Let c be n(9). Let z = -3 - c. Let m(v) = 0*v + v - v - 8*v**z. Determine m(w(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 31\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i - 4. Let b(f) = -f - 1. Let l(z) = -4*b(z) + h(z). Let r(s) = 10*s. Determine r(l(w)).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 8:10 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 2*j**5\/3 - 2222*j**4\/3 + 54634*j**3\/3 - 363010*j**2\/3 + 103532*j = 0.\nAnswer: 0, 1, 11, 13, 1086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-75)\/4)\/(-33*(-250)\/6600)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 126182 and -912.\nAnswer: 125270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - t - 1856 = 0, -t + 190 = 3*c - 930. What is the remainder when c is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 933 - 933. Solve 0 = w - r*x + 2*x - 2, 5*x = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37031 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -426 + 170 = -152*s + 200 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 + -299\/9. Suppose -7*w + 2*w = -10. Let s be (w*(-2)\/(-4))\/3. What is the nearest to q in -4, s, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -11930347, -11930352, -11930357, -11930362?\n\"Answer: -5*o - 11930342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*o + 11. Let f(r) = -136*r - 2304. What is the remainder when f(-17) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3354135, -6708238, -10062341, -13416444?\nAnswer: -16770547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1300907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 t, 1 q, and 1 v when four letters picked without replacement from {k: 2, y: 2, q: 8, v: 5, l: 1, t: 2}?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l = -6*l + 912. Calculate the remainder when l is divided by -17*(2 - 3) - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) + -1 + sqrt(245) + sqrt(245) + sqrt(245))*4 + 2*sqrt(245) + 5)**2 + 5.\nAnswer: 252*sqrt(5) + 79386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 10:57 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 238, 409, 588, 775, 970?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 6*o + 7. Let k be f(10). Suppose 112 = 68*h - k*h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8426453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1749.524 tonnes?\nAnswer: 1749524000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 7*u - 100. Let w be m(15). Solve -w*o + 5 + 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1506, 1419, 1276, 1077, 822, 511?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-4*-2*(-4 + -1 + sqrt(1088)) - 5*5*(sqrt(1088) - 2*sqrt(1088))*-6))**2.\nAnswer: 102240*sqrt(17) + 21940457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 9:00 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -2*y + 134, -5*y + v = -3*v - 335. List the prime factors of y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 4*h + 4*r + 26, 2*h - r + 16 = 0. What is the remainder when 38 is divided by (1 - 10)*(2 - (-30)\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of 11*t**3\/3 - 32*t**2\/3 - 4*t\/3 + 2034. Determine g so that v(g) = 0.\nAnswer: -2\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16746607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 19774*t**3 + 4*t**4 - 19770*t**3 - t**4 - t**4 - 93 as h*t**4 + i*t**2 + x*t + l*t**3 + g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26379916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1830329181 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -690.5112 - -470\nAnswer: -220.5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1247 * -0.16292.\nAnswer: -203.16124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4015.357 + 4013. Let k = 0.357 + t. What is the closest to 4 in 3, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -549\/19 smaller than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21502242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 9:10 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5639.3 times -0.11\nAnswer: 620.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -2092*m**3\/3 - 1115. Let v(i) = -i. Give v(s(o)).\nAnswer: 2092*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -32 + -34 + 26 + 58?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 880 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3\/2 + 1241*l**2\/2 + 624*l - 3726.\nAnswer: -(l - 1242)*(l - 2)*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l**4\/5 - 27*l**3 - 294*l**2\/5 + 27*l + 60 = 0 for l.\nAnswer: -20, -5\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15\/2*n + 18 - 9\/4*n**2 - 3\/4*n**3.\nAnswer: -3*(n - 3)*(n + 2)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.17 - -123.17. Let y = 122.947 - i. Round y to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -107 + 5342726?\nAnswer: 5342617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 4 + 2)*(-l + 0*l - l) - 12*l - 80*l - 87*l)*(5*l - 2*l - 4*l).\nAnswer: 183*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 10 + 20 = -10*k. Put -963, k, 2 in decreasing order.\nAnswer: 2, k, -963","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1130 divide 200407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 0 = 1765. Let o = -95 - r. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 - 22 = -2*o + i, 0 = 3*o + 4*i - 70. Solve 4*j = l - 12, -3*j = -0*l - 4*l + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t = 17*t - 6. Solve 5*k = 2*a + t*a - 1, 0 = -a + 4*k - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(52)\/sqrt(4)*5.\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1416491 is divided by 1533.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - -13. Let i be 3\/(-4) - (-888)\/32. Suppose -25 - i = -4*a. What is the remainder when b is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 4*x = -2000, -6*w + 996 = -8*w + x. Let n be (-8)\/60 + w\/(-120). Sort 3, -4, n in increasing order.\nAnswer: -4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 0, 5, -0.02 in descending order.\nAnswer: 5, 1\/2, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q + 2. Let r(k) = -4*k - 5. Let d = -5 + 0. Let s(f) = d*l(f) - 2*r(f). Let j(c) be the first derivative of 7*c**2\/2 + 2. Calculate s(j(t)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 10, -3 in decreasing order.\nAnswer: 10, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0503 + -189.9497. Let s = k + 195. Which is the third smallest value?  (a) -5  (b) -9  (c) 0  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 6*g**2 - 6*g - 32. What is the lowest common multiple of f(-6) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a = 20*a - 2*r - 34, 4*a = -2*r + 22. Let f(s) be the first derivative of 14\/3*s**3 + a + 0*s - 11\/2*s**2. Find the second derivative of f(o) wrt o.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-330)\/77)\/(6\/(-14)) - 44) + 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -5*l. Let q(b) be the second derivative of -b + 0 + 0*b**2 + 1\/6*b**4 + 0*b**3. Give q(k(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/44 not equal to 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -95179 (base 11) to base 14.\nAnswer: -38743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.25879698 and -210.\nAnswer: -210.25879698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 383479 take away 1159?\nAnswer: 382320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4909444391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5.693, -0.3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45 + -41. Let i = 10.9 + -11. Let d = 6 + -6.4. Which is the biggest value?  (a) d  (b) o  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 68403.44 seconds?\nAnswer: 68403440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-13)\/52)\/(2\/(-8)*3)*-45)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.05701 and 964.31.\nAnswer: 964.25299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38259655 by 6.\nAnswer: 38259655\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2143 + 484. Let x = q + -23563\/9. Let d(z) = -z + 2. Let r be d(-6). Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-3) - (-80)\/15. Suppose 12 + 3 = 3*c - g*i, -4*c + 5*i + 15 = 0. Suppose -2*d + 4*m = 7*m - 29, c = -4*d - 4*m + 60. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) 0.2  (c) 1\/10  (d) -4  (e) 4  (f) -4\/3  (g) 96\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.23 + -0.07. Let z = -8 - -8.3. Let t = q + z. Which is the second biggest value?  (a) -5  (b) t  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*q + 5 = 37*q. Suppose -2*r - 112 = -4*d, -14 + 184 = q*d + 5*r. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f - 69*x + 74*x + 20, -5 = 5*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46241175 and 22525.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -34. Suppose -4*n = -0*n - s. What is the remainder when 27 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 1 + 57*b - 81*b to s*b + n and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1020 or 1041?\nAnswer: 1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*(9 + -63).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 110 and -31?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52 - 27 - -35) + 29.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 168*j**2 + 917*j + 12. What is h(-5)?\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 9:41 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4277, -17043, -38321, -68111, -106413, -153227, -208553?\n\"Answer: -4256*k**2 + 2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5256 is divided by 248.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 33754396\nAnswer: 13501758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41b (base 14) to base 5.\nAnswer: -11214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**17*h)\/(h\/h**(-4)) assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of o**8\/10080 - o**5\/12 - 4*o**2. Let y(r) be the third derivative of x(r). Let s(w) = w**2. Give y(s(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5*g = -49, 128 = 3*j + j + 4*g. Solve 0*u = -j*u + 37 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 - 0.2. Let n = h - 0.5. Let o = -1.8 + 2. What is the third biggest value in o, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**4\/9 + 413098*z**3\/9 - 137698*z**2 + 1239278*z\/9 - 413092\/9 = 0. What is z?\nAnswer: 1, 206546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1688753809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*c - 17*c**5 + 39*c**5 - c wrt c?\nAnswer: 440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-2 + (-5*(sqrt(11) + -2) + (sqrt(891) - (1 + sqrt(891))) - (3*sqrt(1100) + 1)))**2.\nAnswer: -420*sqrt(11) + 13515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 21 = -5*w, -4*w + 34*p - 36*p - 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(272) + -4 + 2 + sqrt(272) - sqrt(272))**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of -w**5\/2 - 55*w**4\/24 - 25*w**3\/6 - 219*w**2. Solve q(h) = 0 for h.\nAnswer: -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 - 14. Let o(c) = -c**2 + c + 4. Let x be o(j). Suppose -2*v = -0 - x. Are 2\/3 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5533 - 7)\/((-3 - -2)\/500). Round v to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -2*b + 250, -5*b = -4*i + 12 - 623. Suppose -3*g + b = 18. Suppose 0 = -l + 38 - g. Solve 0 = k - l, -2*k - 11 = a - 7*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12737?\nAnswer: 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-264))\/((-2)\/(20\/5))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {m: 9, z: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06628 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -34*p - 384. Let v be k(-12). Sort 5, -1\/2, 0.3, v, -34 in descending order.\nAnswer: v, 5, 0.3, -1\/2, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2174.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-24))\/((-597)\/(-5373)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/32 and 103\/1390?\nAnswer: 22240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 214*i + 1730. Let l be c(-8). Solve 103 - 121 = l*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-7)\/(-14))\/(2\/4))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -2 - -7 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of q**4\/4 - 3*q**3 - 2*q**2 - 2*q - 77. Give g(9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 9. Which is the nearest to 1?  (a) 4  (b) m  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 3*r - 3*m - 5, 3*r = -4*m + 2. Let t(p) = 2*p**2 - p**r + 0*p**2. Let z(q) = 1868 + 27*q**2 - 1868. What is z(t(a))?\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-6 + 4 + 7)) + 14 - -7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 182*r - 34. Let n(l) = 32*l - 6. Let f(j) = -6*g(j) + 34*n(j). Let a(k) = -179*k**2. Give a(f(d)).\nAnswer: -2864*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let k be (30\/8 - 5)\/(3\/156). Find the common denominator of (-4 + -1)\/(5\/(k\/(-8))) and -41\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.3  (b) 0.2  (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 5*t - 64. Suppose 0*j + 8 = 2*y - j, y = 2*j + 4. Let w = -2 + 2. Solve -4*u + y + t = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 512, 2649, 7688, 16913, 31608, 53057, 82544?\nAnswer: 121353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 3:30 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 4*b = 20, 6 = -4*k + 5*b - 1. Suppose k*h = 14 + 154. Let g be h\/22 - 12\/(-66). Solve 0 = g*o - 0*o - 5*m + 41, 0 = -3*o - 2*m - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -21243 (base 5) to base 16\nAnswer: -5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 11849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -228 - -223. Sort t, 2\/9, -14 in ascending order.\nAnswer: -14, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -8*c - 8. Let h = 200 + -195. Let l(b) = -7*b - 11. Let z(g) = -14*g - 21. Let y(o) = 7*l(o) - 4*z(o). What is h*t(n) + 6*y(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23030, 22932, 22752, 22484, 22122, 21660, 21092?\nAnswer: 20412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -10*v - 76. Let b be g(-7). Do -47\/8 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1413 + 4?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000154875 to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from yymgmymgmmgy?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/112*-8*-1)\/(-3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + 9)\/(6\/4). Suppose 9 = h*l - l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 433 a factor of 1350437777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and -0.262?\nAnswer: 2.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {b: 1, f: 5, y: 3, d: 2, q: 1, k: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 173814400 and 4800?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*q + 177*q - 245*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -81\/2, 0, -2710 in ascending order.\nAnswer: -2710, -81\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 1. Let z be (-2)\/7 + (-130)\/35. Let j = z + 6. Sort -4, f, j.\nAnswer: -4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -347*y**3 - y**4 + 3*y**4 - 641*y**2 + 1639*y**2 wrt y.\nAnswer: 48*y - 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 15, y: 4}. What is prob of sequence sss?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a**2 + 901*a - 901*a - 10 - 32.\nAnswer: -7*a**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2049bf (base 16) to base 8\nAnswer: -10044677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -660*n**3 + 3*n**2 - 659*n**3 - 13*n**2 + 1317*n**3.\nAnswer: -2*n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2111 - 10013012230?\nAnswer: -10013010113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v - 19. Let r be g(9). Suppose -5*n = -38 + r. Let x = -12 + n. Is x >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2062 divided by -83?\nAnswer: -2062\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}