{"text":"Question: Let j = -16 + 31. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-1)*(-1 - 1). Let a(v) = 20*v - 1. Let q be a(1). Suppose -3 - q = -w*u. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19\/120 - -23\/24. Which is bigger: -91 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.29 - -10.71. Let s = 20 - d. Let k = s - 7. Sort k, -0.03, -0.5 in ascending order.\nAnswer: -0.5, -0.03, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 601.7681 seconds to nanoseconds.\nAnswer: 601768100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 41.203 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-28) + 212\/(-7). Let i = -21 - m. What is the second derivative of -20 - i*p + 20 - 9*p**4 wrt p?\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/13)*w**(-3\/7)*w**(1\/6)\/(w\/(w*w*w**5*w)))**(-26) assuming w is positive.\nAnswer: w**(-3763\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 797813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of l**3\/6 - 11*l**2\/2 + l. Let p be i(5). Is (p\/4 - -2)*326 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h - 4*h + 3*h. Let u(f) = -f**2 + 4*f + 1. Let s be 52\/(-10) - (-7)\/(-4 + 39). What is s*m(z) + u(z)?\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2*w, 4*w = -4*r + 2*r + 20. List the prime factors of (1 + r)\/(3\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03 and -0.096.\nAnswer: -0.00288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 10. Let k be -3*((-8)\/g)\/(-1). Is 118\/4*k\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.25 to 0 decimal places.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 8*v**2 + 9*v - 6. Is 22 a factor of s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**3 + 3*i**3 - i**3)*(-6*i + 4*i + i) + 12*i**4 + 108*i**4 - 39*i**4 - 4*i**2 + 4*i**2 - 2*i**4.\nAnswer: 77*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68167 is divided by 386.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of a**5\/40 + a**4\/24 - a**3\/6 - 4*a. Factor t(w).\nAnswer: w*(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**3 + 5*y**2. Let g(o) be the first derivative of -3*o**4\/4 - 3*o**3 - 3. Let b(w) = 6*g(w) + 10*x(w). What is the third derivative of b(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 157 - 73. Let p be (-1)\/7 - (-180)\/b. Solve 5*v + 27 = -u, 10*u + 20 = 5*u - p*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y. Let d(h) = 6*h**2 - 16. Let a = 5 - 1. Let k(i) = 5*i - i + i**2 - a*i - 3. Let r(l) = 3*d(l) - 16*k(l). What is q(r(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/10 + (-126)\/(-35). Let l(i) = i + 4. Let a be l(0). Suppose 2*f + 5*q - 38 = 0, a*q - j = 3*q. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -14*n**2 - 82*n - 13. What is w(-4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.2 - 3.5. Let h = t + 1.335. Round h to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3, -2\/17, -81?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -1699567?\nAnswer: 1699569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/28 and -53\/3402536.\nAnswer: 23817752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.9640952mg?\nAnswer: 964095.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 7:00 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0 - 12 = 0. What is the second derivative of -3*f**2 + 3*f**2 - 2*f + 0*f**2 - o*f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 12*w + 37. Let p be 36\/(-3)*4\/(-22)*121\/(-33). Give b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95186 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -2  (b) -0.3  (c) 5  (d) -17.22  (e) 2\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -3*z**2\/2 + 72*z - 264 = 0.\nAnswer: 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 - 12*u + 3. Let a be d(-6). Suppose -4*x - 21 = -a*c, 0 = 2*c - c + x. Solve m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 956.8 - 145.8. Let p = t + -810.99999673. What is p rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 304, 159, -50, -335, -708, -1181, -1766?\nAnswer: -2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7, 16, 33, 58, 91, 132, 181?\n\"Answer: 4*n**2 - 3*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 40\/1179, 0, -4, 0.4, 3, 93 in ascending order.\nAnswer: -4, 0, 40\/1179, 0.4, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.07 * -29.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, 0.4, -1, 4, 5 in descending order.\nAnswer: 63, 5, 4, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 271*n + 15225. Calculate z(-61).\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(3\/4*-10). Suppose -26*a + 28*a = 6. What is the nearest to 0.1 in k, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d - 2*o + 27 = 15*d, -36 = -2*d + 2*o. Suppose -5*x + 61 = 3*z, 4*x + 2*z + 16 - 64 = 0. Calculate the remainder when d is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2745*d - 2501*d**2 + 1473*d**4 - 5472*d + d**3 + 2727*d wrt d?\nAnswer: 35352*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2224.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 3. List the prime factors of (s\/2)\/((-2)\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2095 - -2091. Put -11, l, 1, 6 in increasing order.\nAnswer: -11, l, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 9:19 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 1:40 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 + 11. Suppose -a + x + 21 = 0. Calculate the remainder when a is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, n: 2}. Give prob of picking 2 n and 2 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/((-5 + 2)\/6). Suppose 0 = 2*s + 2 - 4. Solve -s = -y, a*y - 21 = 5*j + 6*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (74 - 74 - z**3 - 2*z**2)*(152*z + 17*z - 66*z) as h*z**4 + u*z**3 + a*z + s + p*z**2 and give u.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001169911 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -934*r**3 + 4224*r**2 - 28*r**4 - 1823*r**2 + 919*r**3 + 2322*r**2 wrt r?\nAnswer: -672*r - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -1739*f + 22610. Let w be n(13). Let k = -32\/3 + 11. Which is the smallest value?  (a) 4\/3  (b) w  (c) 0.4  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 65 + -1273631?\nAnswer: -1273544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*z = -13*z - 3*z + 788190. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in -1, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 234\/624 + 86\/(-16). What is the nearest to 0.1 in o, 98, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-20 - 1)*1*(0 - 1) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**5\/6 + w**4\/2 - 143*w**3\/6 - 49*w**2\/2 + 143*w\/3 = 0.\nAnswer: -13, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of u**7\/10080 - u**6\/720 + u**5\/120 + 3*u**4\/8 - 8*u**2. Let j(m) be the second derivative of n(m). Factor j(f).\nAnswer: (f - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of r**4 - 48583*r**3 + 965*r**2 - r + 1?\nAnswer: 24*r - 291498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/2 and 158\/(-18) + 3\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76*m**3 - 77*m**3 - 5 + 148*m**3 to the form t*m**2 + r + h*m + z*m**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/15 + (-11028)\/315. Let w = -35 - g. Let i = 1.7 - 2. What is the third smallest value in w, 0, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 112*a - 29*a**2 - 110*a - 8*a**2 + (-2 - 2 + 3)*(9*a**2 - 210*a + 210*a).\nAnswer: -46*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -164, -671, -1510, -2675, -4160, -5959?\nAnswer: -8066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -21.0717?\nAnswer: 21.0717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/5*-1 + 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0204243 rounded to 5 decimal places?\nAnswer: 0.02042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201202 - 10?\nAnswer: -201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**2 - 3*g**2 + 8*g**2 + 0*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from nnhhjoog.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 9*h + 1. Let g be x(1). Let y = g + 11. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4\/1673 + -14069\/13384. Calculate the common denominator of (2\/((-84)\/(-138)))\/(144\/28) and c.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20009643*k**3*w**2 + 8*k*w**2 - 6*k*w + 6366*k + w**2 - w wrt k.\nAnswer: -120057858*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.7 in 14200, 5, -1\/3, 0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -764*f*u**4 - 21*f*u - 8667*f wrt u.\nAnswer: -3056*f*u**3 - 21*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**3 + 1 - 1)*(-3 + 3 + 2*a) - 4*a**4 - 114*a**3 - 115*a**3 - 2*a**2 + 232*a**3.\nAnswer: -6*a**4 + 3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f + 6*f - f)*(-190 - 198 + 413) + (1 + 4 - 3)*(-8*f + 7*f - 5*f).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k**4 - 2*k**2 + 2*k - 2. Let p(d) = 5*d**4 + 6*d**2 - 7*d + 7. Let w(b) = 7*c(b) + 2*p(b). Find the third derivative of w(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -495, -486, -483, -486, -495, -510, -531?\n\"Answer: -3*f**2 + 18*f - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from twwrrwhcllwlthtwlhlw. What is prob of sequence crw?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22116136 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 4*q**2 - q. Let d be m(2). Suppose 3*w - 42 + 3 = -4*s, -w + s = -d. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276 = -5*b + 11*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 2. Let z = 61 + -38. Suppose m = 4*l - z. Solve 0*d = 3*d + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(637) + -1*sqrt(637))*4 + (-3*(-5 + -2*sqrt(637)))**2)*6.\nAnswer: 7560*sqrt(13) + 138960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 25 = -34. Let j(p) be the second derivative of -1\/4*p**5 - u*p + 0 + 0*p**2 - 5\/12*p**4 + 0*p**3. What is the third derivative of j(l) wrt l?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - b - 9. Let w be c(4). Let y(r) = 5*r - 2 + w*r**2 - 3*r + 6 - r**3. Suppose -103 + 159 = 9*s + 5*s. Calculate y(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45 and 172170?\nAnswer: 172170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -159484, -637990, -1435500, -2552014?\n\"Answer: -159502*v**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1033, 1040, 1049, 1060, 1073?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*a**4 - 187 + 93 + 95 + (-3*a**3 + 4*a**3 - 3*a**3)*(3*a - a - 4*a).\nAnswer: 20*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 1. Let c(j) = 2*j + 8. Give -c(q) + 6*p(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of d**5\/15 + d**4\/24 + 2*d**3\/3 - 2*d**2. Let w(z) = 9*z**2 + 3*z + 9. Let n(q) = 6*w(q) - 14*x(q). What is n(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 134 - 130. Suppose o*x + 3*p - 18 = 8*p, 0 = -3*x - 2*p + 2. Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-22*1)\/((-21)\/(105\/(-10))). Which is greater: 22 or a?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jijxxxddxxxcxd. What is prob of sequence xxcd?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-286)\/(-6) + 7\/21. Suppose w = -6*v + 9*v. Let q(u) = u - 5. What is the smallest common multiple of q(v) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -2618*y**2 - 5215*y + 3699. What is the derivative of d(x) wrt x?\nAnswer: -5236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 392 + 155 + 362 = 101*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 374611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -12.7. Let b = 1113 - 1112. What is the second smallest value in b, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12\/5 + -29\/10. Suppose -4*r = -3*z - 45, 19 = 2*r - 3*z - 8. Sort f, r, 1\/3 in decreasing order.\nAnswer: r, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1*sqrt(484)\/(-4*sqrt(11)) + -3))**2.\nAnswer: -75*sqrt(11) + 1175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7, -109, -207, -301, -391?\n\"Answer: 2*z**2 - 108*z + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 381721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 2301302.\nAnswer: -1\/1150651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 996\/5 - (-6 - -5)\/(-5). Suppose 0 = -2*r - 2, o - 576 = 4*r - c. Which is smaller: 374 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -135 + 140. Let u be d - 4\/((-32)\/88). Solve 3*y - 8*y = -5*c - 10, 0 = -4*y + u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -107823 - 1350526.0943\nAnswer: -1458349.0943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.26 + -0.2899. Let v = -1.0949 - p. Round v to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*w**2 - 5743*w - 579*w**2 + 5743*w.\nAnswer: -570*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 2*t + 12. Let r = -6 - t. Let d be ((-5)\/(-2))\/(-5) + r. Is -2 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 316*j + 5709. Let k be g(-16). Solve -649*x + k*x - 28 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**2 - 135*y**3 + 134*y**3 - 16*y - 2 + 3*y**2 - 2*y**2 as q*y**2 + o*y**3 + z*y + u and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + 0*2\/6. What is the units digit of -6*-1*k\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40266167231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -123, -49, 6.\nAnswer: -123, -49, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 283, 0 in decreasing order.\nAnswer: 283, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*r = 33*r - 35. Let v(w) = -w**2 - 9*w - 9. Suppose -4*f - y + 145 = 0, -3*y + 28 = -2*f + 3*f. What is the remainder when f is divided by v(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -273 = -52*y - 65. Suppose -t = 94 - 99, -2*t + 18 = y*q. Which is the third biggest value?  (a) -5  (b) -2  (c) q  (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(2880))*5 + (sqrt(2880) - (3 + sqrt(2880) + 1)) + -3)**2.\nAnswer: -2880*sqrt(5) + 72144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1016*u + 741*u + 822*u.\nAnswer: 547*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 0\/4 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111001002 - 1?\nAnswer: 111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -684*l - 55402. Give f(-81).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**2 + 16*w - 27. Let v be x(6). Put 4, -1, v, -2 in increasing order.\nAnswer: v, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + y - y)*(-y - y + 4*y)*(-4 - 6 + 2).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of -19*j**4\/4 + 23*j**3 + 79*j**2 + 1. Differentiate f(g) wrt g.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -64227 less than or equal to -64228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) + (sqrt(60) - 6*(sqrt(240)\/sqrt(4) + sqrt(60))))\/(sqrt(12) + -5*sqrt(12)*2).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 13 + 14 = 0. Solve 0 = 3*q - 2*q + z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(972) - ((sqrt(972) - (-5*sqrt(972) - sqrt(972))) + sqrt(972)))*6 - sqrt(972)) + sqrt(972))\/(-3*sqrt(16)*-3)*6.\nAnswer: -126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 13*k**2 - 370*k - 4353. Give n(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*f - 8*f + 2*f + (-4 + 3 + 2)*(f - f - 2*f) - f - 3 + 0*f - 2*f + 2*f - 6*f + 3*f.\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 56516 or -65.66?\nAnswer: 56516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 3*i + 25 = -0*i, -r = 5*i - 5. Suppose 14*v - 20 = 10*v, r*p = 3*v + 35. What is the least common multiple of 56 and p?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.386 + 8.386. Which is the smallest value?  (a) -1\/6  (b) -1\/5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29\/6 + 5. Suppose -2*n = -0*n + 4. Sort 1, n, c.\nAnswer: n, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7724*p**6 - 67*p**4 - 2341331*p**2.\nAnswer: -926880*p**3 - 1608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {u: 1, y: 1, m: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 + 25*u.\nAnswer: -u*(u - 5)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-5 + (sqrt(343) + 0 + -2 - (0 + sqrt(343))*5) + -3)**2*-1.\nAnswer: -5586 - 560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-6)*122\/(-366).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and 1066746872?\nAnswer: 1066746871.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1))**(-1\/26) assuming m is positive.\nAnswer: m**(1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 847596057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -2 + (22 + -18 - (0 - 7)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/(-19) + 1427\/19 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 0 + 3*r - 2)*(7 - 2 + 0)*((-r - r**2 + r)*(-4 + 1 + 1) - 10*r**2 + 0*r**2 - 6*r**2).\nAnswer: 70*r**3 + 140*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -465612*c**2*y**2 - 1906024*c**2 - 14*c*y**3 + 2*y wrt y?\nAnswer: -931224*c**2 - 84*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-2*((sqrt(500) + 1 + -2 - sqrt(500)) + (sqrt(500) - (sqrt(500) + (2*sqrt(500) - sqrt(500)))*-1)) + 5))**2.\nAnswer: -3360*sqrt(5) + 72196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 136533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -u + i, i = 5*u + 25 + 3. Let m = 150 + -746\/5. Put 86, u, m in ascending order.\nAnswer: u, m, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*h + 110*h + 3*r + 27 = 0, 3*h + 4*r + 27 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + i**2 + 3*i**2)*((0*i + 0*i - i)*((94 - 94 - 28*i)*(0 + 0 - 1) + 0*i + i - 3*i + 0*i - 3*i + 2*i) + (0*i + i - 3*i)*(-i + 0*i + 2*i)).\nAnswer: -54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/4)*y**(-5))**23\/((y**(-2\/11)\/(y\/(y\/y**(-2\/19))))\/(y**(-1\/4)\/y**(-4))) assuming y is positive.\nAnswer: y**(-44067\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((11 - 2) + -15 + 2 + 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3\/14)*j*j\/j**(-6))\/(j**(-1\/13))**(-24\/5) assuming j is positive.\nAnswer: j**(6749\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.381 and 1.548.\nAnswer: -2.137788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4\/3 + 1116134*l**3\/3 + 1116130*l**2 + 3348386*l\/3 + 1116128\/3.\nAnswer: 2*(l + 1)**3*(l + 558064)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 763\/(-872)*24\/(-294)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2153867 + -72?\nAnswer: -2153929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -12.45. Let w = h - -0.21. Let m = w + -0.76. Which is the nearest to m?  (a) -3  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2241478289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -10 + 154. Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -5*l**3 + 2*l**2 + 4*l - 3. Let p = -3 + 7. Let u(z) = -6*z**3 + 2*z**2 + 5*z - 3. Let a(v) = p*u(v) - 5*o(v). What is a(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 1234?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 2*k**2 + 3*k + 4. Let z = -21 + 19. Let o be (4\/z)\/((-6)\/(-9)). Let f be i(o). Solve 2*m + m = 2*x + 10, -5*x + f*m - 18 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -125413.9\nAnswer: 125413.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is -8576 (base 12) in base 15?\nAnswer: -4509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 101*o**3 - 38*o**2 - 21*o - 5. Let t(g) = -52*g**3 + 19*g**2 + 12*g + 3. What is 5*t(l) + 3*y(l)?\nAnswer: 43*l**3 - 19*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = 437*d - 441*d + 2*m, 0 = -5*d - 2*m + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 436673431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34343, 34338, 34333?\nAnswer: 34328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - t - 76 = 2*h, -48 = -3*t - 3*h. Let r be (2 + -1)*t*1. Suppose 5*v - r = 2*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -4 - (28 - 37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -79*x - 1440. Calculate g(-15).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1363\/7 - 195. Let r = 9026 - 44903\/5. Let u = r + -46. What is the smallest value in s, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -243\/4 + 61. What is the nearest to v in 2, 2\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -169378469857 and 0.4?\nAnswer: 169378469857.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 25*l**2 - 72*l + 87. Let a(c) = -52*c**2 + 145*c - 215. Let g(k) = -2*a(k) - 5*i(k). Let j(n) = -4*n**2 + 14*n - 1. Calculate -2*g(y) + 11*j(y).\nAnswer: -2*y**2 + 14*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 7*u**2 + u + 11. Let z be l(7). Let t = 142 - z. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or -32\/1397?\nAnswer: -32\/1397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4*(-4)\/(-56) - 11\/(-14). Which is the nearest to -0.2?  (a) -2\/11  (b) q  (c) 2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*v + v - 3*v)*(-89 - 286 - 36) as l + f*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5939439 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqr. Give prob of sequence qr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q - 5*m - 17, 2*q + 4437*m = 4433*m - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**2 - 1019*r + r**3 + 1019*r - 4 as p + t*r + k*r**2 + v*r**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**2 + 11*y + 1. Suppose 326*d = 336*d - 80. Determine n(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (0 + sqrt(22)\/sqrt(2) + sqrt(11))*4 - (sqrt(11) - 3*sqrt(891) - sqrt(121)\/(sqrt(11)*3)).\nAnswer: -4 + 103*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/1674 and -107\/12.\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 190105 or 190027?\nAnswer: 190027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 2:26 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 2. Let g be c(0). Let t = -29 - -17. Let o = t + 15. Sort -1, g, o in descending order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -10*g**2 + 302*g - 212. Let a(z) = -46*z**2 + 1510*z - 1058. Let i(y) = 4*a(y) - 19*q(y). Suppose i(l) = 0. Calculate l.\nAnswer: -51, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -85 + 50. Find the common denominator of -57\/10 and 5\/(-7)*406\/k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 25412018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2*2\/18*-6*(-171)\/(-1482)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 13 = 2*m - 2*q, m + 3*q + 8 = 0. Let g(k) = 3*k - k + 2 - k + 4. Let x be g(m). Solve -3 = 4*y + x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 221 divide 33978529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from orroororrorrrroarooo?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y + 8. Let x(s) = 9*s - 53511. What is x(i(h))?\nAnswer: -9*h - 53439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -3*w - 7. Determine y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 61163, 62620, 64081, 65546?\n\"Answer: 2*c**2 + 1451*c + 59710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 4*h + 32. Give k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 33. Let o = c - -25.999974. Round o to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1417*q**4 - 49*q - 138.\nAnswer: 17004*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -9*x**2 + 3*x + 9. Let z be v(4). Let y = z - -274. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by -258\nAnswer: -11\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 1. Let n = -242 - -265. Let c(a) = -a**2 + 22*a + 20. Let t be c(n). Let h(j) = 3*j - 21. Determine t*h(k) - 63*i(k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/9 + (-7)\/15. Let o be 0 - (9\/(-4) + 2). What is the closest to 1 in o, -4, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 510 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 8, 81, 284, 683, 1344, 2333, 3716?\n\"Answer: 11*o**3 - o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -2439, 1\/7, 2\/3 in increasing order.\nAnswer: -2439, 1\/7, 2\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 g, and 2 a when four letters picked without replacement from {t: 1, a: 2, g: 1, j: 2, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/7 in -2\/11, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-5))\/((3753\/2919)\/((-426)\/(-14)))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22764 and 2099148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (2\/1)\/(-1). Suppose 0 = -4*k - 0*k - 16. Let a be (-1*1)\/(k\/20). Solve a*v + 4 = 2*s, 5*s + 2*v + 15 + i = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -259851 or -259852?\nAnswer: -259851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*d - 3*d. Suppose p + 478915 = -d*p. Let q = 21783 + p. What is q rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5128, 14942, 24756, 34570, 44384, 54198?\nAnswer: 64012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/357 and 40\/21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -1012*s**2 + 42. Let n(k) = 4*k**2. What is w(n(y))?\nAnswer: -16192*y**4 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00275 to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -15*f + 17. Let a(g) be the second derivative of 4*g**3\/3 - 9*g**2\/2 + 241*g. Calculate 11*a(x) + 6*i(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 1, -4 in decreasing order.\nAnswer: 26, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 459749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 643231?\nAnswer: 643231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14013*t**3 - 70*t**2 + 335602009.\nAnswer: -42039*t**2 - 140*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1591541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 3*d - s, -5 = 2*s - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 62 - 7. Let t = c + -274\/5. What is the closest to t in 2\/9, -2, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 670.003063174?\nAnswer: -673.003063174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 13 = 4*w + 2, -8 = 4*w + 4*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**2\/7 + 34670*o\/7 + 415752\/7 = 0. What is o?\nAnswer: -17323, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - 3) + 1 + 1. Suppose 4*m - 8*g + 3*g + 17 = 0, -2*m - 4*g + 24 = 0. Suppose 1 = -m*p + 5. Solve -y + p = -s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {c: 1, o: 4, n: 7, s: 1, t: 2, l: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.3  (b) -0.1  (c) -11393  (d) 0.0332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1912 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 2:45 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cnkkknkkkknnac. Give prob of picking 2 c, 1 n, and 1 a.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13021396260 + -42807?\nAnswer: 13021353453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 11 = -5*g - 29, -3*u + 3 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 13*q - 86. Let j be d(7). Solve j = k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(2\/29))\/t**(-21))**26 assuming t is positive.\nAnswer: t**(16640\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -14*d - d**3 + 4 + 0*d**3 + 7*d**2 + 6*d + 2*d**3. Let p be g(-8). Suppose 5*u = -p*h - 3, 0 = 3*h - 4*u - 17 - 4. Solve -h*c + 7 = 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**5 - 845*m**4 + 171170*m**3 + 3103550*m**2 + 11772765*m - 15046641 = 0 for m.\nAnswer: -9, 1, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 - 16. Factor 4*v + 2*v**4 + o*v**2 - 4*v**3 - 2 - 10*v**2 + 0*v.\nAnswer: 2*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 324053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of z**8\/84 + 8*z**7\/105 + z**6\/5 + 4*z**5\/15 + z**4\/6 - 7*z**2 - 4. Let o(r) be the second derivative of j(r). Factor o(n).\nAnswer: 4*n*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -1992*k**2. Let t(y) = 3*y**2. What is t(i(f))?\nAnswer: 11904192*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 PM and 2:47 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 49*w - 9*w - 16*w - 18*w - 5*w. Let g(j) = 2*j + 1. Suppose 6*m - 2 - 4 = 0. Determine m*g(f) - 4*r(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 10*a**3 - 24*a**2 + 108*a + 102. Is x(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -401*f**4\/4 + 275*f**3\/3 - 96. What is the third derivative of k(y) wrt y?\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3\/11  (b) 6  (c) 3\/2  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 491 - 489. Suppose 1583 = -w*g + 309. Round g to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = y - 4*z + 36, 176*y - 284*y + 180*y + 514 = 5*z for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 6:58 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1191, -1227, -1287, -1371, -1479?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -146?\nAnswer: -58.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 18052 = -4*o, 0*o - 5*o + 4*b = -22564. Suppose -9*m + o = -6*m. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 1.08, 4, -4 in ascending order.\nAnswer: -4, 0.4, 1.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 - 3*y**2 - 2*y. Let w = 13 + -6. Suppose 1 + w = -4*t. Let z be m(t). Solve z*s + 4 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 1:52 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m + 12. Suppose 11 - 19 = o. What is y(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5950 - 5950 - 144*c + (4 + 1 - 3)*(2*c - 2*c - c) to the form d + p*c and give p.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = 2*z - 3*w, 3*z + 118 = -w - 3. Let r = 76 + z. Calculate the greatest common factor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + 11*r**2 - 12*r + 9. Let c be b(-12). Suppose -5*v + c = -1. Suppose -3*j = -3*k - 387, 5*j - v*k = -k + 653. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/2 + (-40)\/(-16). Suppose -7 = -s - 2*a, -s + 5*a - 16 = -v*s. Let u be -3 + 24\/9*s. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56343 (base 8) in base 12?\nAnswer: 11917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - -1 - 20\/(-8). Which is the biggest value?  (a) -0.2  (b) x  (c) 2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3 = 1. Suppose 3*y = z*y + o, o = -4*y + 25. Solve -g - 10 = -y*f - 0, -g = -2*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g + 1. Calculate w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22631405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from {u: 3, l: 5, s: 1, i: 1, n: 1, k: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 531 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 13, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 87621026 to the power of 1\/2, to the nearest integer?\nAnswer: 9361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1842586 is divided by 396?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 4 + 2)*(-1 + 2 + 1)*(0 + 11 - 2)*(-6 + 1 + 2)*(k + 2*k - 2*k) to w*k + f and give w.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*u + 9 + 2 = 0, u - 1 = -2*c. Let x be (252\/(-2))\/c + -1 + 3. Let t = -63 + x. Let i(p) = -p**3 + 2*p**2 + p + 1. Give i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 5*c**2 + c. Let u be g(5). Suppose u*n - 48 = 3*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 1.6, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 10100100001001010 (base 2) to base 11\nAnswer: 58162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(9\/(-120))*-3. Suppose 0*f = -5*f - c. Let q = 6 + f. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.1?  (a) 0  (b) -13  (c) -0.1  (d) 1\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) 0.109  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = -125, 0 = -4*v + 5*r - 4*r - 8 - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 11*d = 16, -5*x - d = -16. Solve 2*y - 3*m + 19 = y, -x*m + 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 11, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*c - 29*c - 8 = 0. Let z(m) = c*m**2 + 5*m + 5*m**2 - 7*m**2 - 3*m**2 + 6. What is z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pmpollplmlk. What is prob of sequence klp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 741656.8us in milliseconds?\nAnswer: 741.6568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 8*l = -4*a - 20, 0 = 5*a. Put 2, l, -5 in decreasing order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66\/(-11)*(8723\/1089 + -8)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6501)\/76830*10\/(-44).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2782*h - 2 + 2786*h + 4 + 1 - 3.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -88001*f**3*p**2*q - 97*f**3*p**2 - 5*f*p**2 - 68*f wrt q?\nAnswer: -88001*f**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 32842, 32835, 32828, 32821, 32814?\n\"Answer: -7*t + 32849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*o**2 - 831 + 831)*(-7*o**2 + 2*o**2 + 0*o**2).\nAnswer: 335*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*z**3 - 197289872*z**2 - 197289878*z - 49322470.\nAnswer: 2*(z - 24661235)*(2*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2782470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 a factor of 1915532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**3 - 8*l**2 + 35*l**2 + 92 + 132 - 26*l**2 as d*l + j*l**2 + m + a*l**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10119 (base 10) to base 3.\nAnswer: 111212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 480.23 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 20932*k**2. Let u(d) = 5*d**2 - 3. Determine u(h(q)).\nAnswer: 2190743120*q**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133 = 447*y - 161*y + 93*y + 26018 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + 9*k**2 + k - 3. Suppose 3 = 5*j + 38. Let y be a(j). Suppose 5*w - w = y. What is the lowest common multiple of 10 and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**3 + 5*h**2 + 3*h - 4. Let t(f) = 5*f**3 + 11*f**2 + 6*f - 9. Let d be (-30)\/114*(-444)\/(-30) + (-6)\/57. What is d*t(v) + 9*j(v)?\nAnswer: -2*v**3 + v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -7700618133+-0.5\nAnswer: -7700618133.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 30 = -5*i. Is 292\/8 + 3\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1128 - 215. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**2. Let m(b) be the second derivative of -b**4\/6 - 17*b. Calculate m(o(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence luk when three letters picked without replacement from eekeeelneeeeukle.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3*u**2 + u - 2. Let k be j(-5). Let h = -47 - k. Is 10\/h - 1602*22\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 12, -1, 5.\nAnswer: -1, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 101. Let h be (-5778)\/(-39) + -3 - (-18)\/(-117). Let t = h - p. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-440)*22)\/(-1*9\/255)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 + -64 + 26 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2732 - 8*o**2 - 1367 - 342*o + 6*o**2 - 1362 in the form m*o**2 + q + y*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 120.44 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ntngnggggnggggggnnn. What is prob of sequence nnt?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-35)*1757\/53212?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jbb when three letters picked without replacement from {b: 2, c: 2, j: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2 = 4*g + c, 0 = 3*g - 3*c - 3. Suppose -2*j = -g*j. Solve 0 = -j*t + t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minus 1123.72?\nAnswer: -747.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4853 + -4848. Solve 0 = -u + 2*f - 5, 0 = x*f + 11 - 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -75\/7 in -3\/559, -3, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 + 19*p**2 + 7*p + 35. Suppose -2*r = -8*r + 10 + 50. Calculate j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 + 4. Let m(b) = -b**3 - 6*b**2 + b - 10. Let y(r) = -2*m(r) - 5*v(r). Let x(w) = -w**3 - 3*w**2 + 3*w. What is -2*x(p) - 3*y(p)?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000024103 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3260 by 326.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -11. Let d be 91\/21 - p\/6. What is the third derivative of 0*f**d - 2*f**2 - 3*f**2 + 6*f**4 wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 387 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22854734.\nAnswer: 2, 7, 1632481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*o + 4, -3 = 2*o + 4*b + 5. Let k(s) = -s**2 - 2*s + 18. What is the lowest common multiple of o and k(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1130131212 (base 4) to base 8.\nAnswer: 1343546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1305500 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -11*q**7\/21 - 17*q**4\/6 - 36*q + 23. Let z(u) be the first derivative of m(u). What is the third derivative of z(r) wrt r?\nAnswer: -1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3738)\/(-3724)*(-82)\/12 + 7 and 121\/532.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1186405927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10430)\/2816100*6\/(-2)*2?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/30)\/(((-52)\/(-1872))\/((-9)\/16*2)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -30, 1\/5, -0.6093 in decreasing order.\nAnswer: 11, 1\/5, -0.6093, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -d**4\/4 + 5*d**3\/3 - 5*d**2\/2 - 4*d - 2. Let r = -13 - -25. Let c = r + -8. Determine y(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of -40*o**3\/3 + 3*o**2\/2 - 12*o. Let x be u(-1). Let v = x - 42. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -196070 divided by 7.\nAnswer: -28010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*8\/(-444) + 6525\/(-925).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4992\/(-39)*(1\/(-2) + 0) is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 3, -4, -5222, -1, 0 in decreasing order.\nAnswer: 3, 0, -1, -4, -8, -5222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17*508\/762*3\/(-4)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -146*z**2 + z**3 - 2*z**3 + 134*z**2 to the form b*z**3 + m*z**2 + j*z + s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**(-31)))\/v*v**(2\/59)\/v*v*v*v assuming v is positive.\nAnswer: v**(-1768\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -840 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l + 12. Let z be g(9). Solve 5*x = k + 22, 6 = k - x + z*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 401937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1473202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 12:21 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1525 a factor of 6065138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/11)*y**(-2\/45) assuming y is positive.\nAnswer: y**(23\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/27540 and -37\/5508.\nAnswer: 27540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 79\/3 of a week in hours?\nAnswer: 4424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(144)*-5)\/((sqrt(90) + 5*sqrt(90))\/sqrt(5)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6485 + 6502. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 3*w - 16 = 0. Let y(n) = n**3 + 3*n**2 + n + 1. Let j be y(-2). Suppose -j*h = 2*h. Solve -w*b + h*b - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 478 divided by 2241659\nAnswer: 478\/2241659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/771 and -73\/9.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32362.\nAnswer: 2, 11, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 54*k - 62. Calculate the remainder when m(4) is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-4*sqrt(88)*1)\/(sqrt(72)*-5) + -5)*-6.\nAnswer: -8*sqrt(11)\/5 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*h + 1. Suppose 0 = 5*j + y - 188, 58 = 5*j - h*y - 136. Suppose f = j + 109. What is the greatest common divisor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000006243 to seven dps.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-2)*4\/2. Factor 3*n**5 - 1 + 6*n**2 - 2 - 2 + f + 3*n - 3*n**4 - 6*n**3.\nAnswer: 3*(n - 1)**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.04 - 1.96. Let z = -7541 + 23339\/3. Let o = 239 - z. Which is the nearest to o?  (a) -0.2  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2)*n\/(n**0*n*n)*n)\/(n**(-2\/7)\/n*n**(2\/13))*((n\/(n\/n**1))\/(n\/(n**(-2\/7)*n)))\/(n*n\/n**4*n**(-1\/2)) assuming n is positive.\nAnswer: n**(61\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-eight thirds of a century?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/23))**(-26) assuming m is positive.\nAnswer: m**(52\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 1\/6*w**3 - 1\/120*w**6 + 0 + w**2 + 1\/24*w**4 + 0*w**5 + 0*w. Calculate the remainder when z(-2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + 5. Let u = b + 2. Put 0.3, 16, u in decreasing order.\nAnswer: 16, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216216 divided by 364.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -7*a. Let g(y) = 1165*y**2 - 1. What is g(k(d))?\nAnswer: 57085*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 3*y - 1. Let o be 8\/(-28) + 33\/(-7). Let v(z) = -6*z + 2*z + 3 + z - 4*z. Give o*t(r) - 2*v(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1749\/50 - -43499\/1300. Find the common denominator of r and -83\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -109 or -14784\/137?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 12:37 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 4*i, -4*h - 43 = -2*i - 17. Suppose p = i*l - 29 - 234, l - 40 = -4*p. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 - 11*o**2 + 12*o - 15. Let m be k(10). Let j = -24 + 28. Sort 1, j, m in increasing order.\nAnswer: 1, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(275) + 2).\nAnswer: 4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2391833.87 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/15*(-2)\/(-6). Sort -2, p, -2\/7, -3 in ascending order.\nAnswer: -3, -2, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15025334?\nAnswer: 2, 7512667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 72042 (base 10) in base 14?\nAnswer: 1c37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 444385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, 189, 333, 497, 687, 909, 1169?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(2\/15)\/n**(-3\/7)*n**(2\/3)*n**(-3\/2) assuming n is positive.\nAnswer: n**(-19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30.21 + -1.21. Let h = -29.4 + v. Let o(f) = f + 2. Let a be o(-6). What is the nearest to 5 in h, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22*a**3 - 285*a**2 - 29802 wrt a.\nAnswer: 66*a**2 - 570*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000055 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 50*w - 2782. What is h(55)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 68*y**2 + 52*y - 12. List the prime factors of q(-5).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -7*q**2. Let u(w) = w - 8. Let s be u(13). Suppose 4*l - s = m - 2, m - 9 = -2*l. Let a(i) = -l*i**2 + 1 - 1. Determine a(o(b)).\nAnswer: -98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 47 or -1\/5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.6735929 + -1.205.\nAnswer: -1.8785929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (142 + 45760\/(-325))*(-170)\/(-4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -305435 and -0.018976?\nAnswer: 305434.981024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 248 divide 711438631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.23071256 plus 20?\nAnswer: 11.76928744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 - 31 + 53 + 2*z**2 - 11*z.\nAnswer: 2*z**2 - 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -20 + 17, -5*c + 4*l + 74 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/5  (b) 0.9  (c) 19.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 11*((-2)\/(-2) - 0). What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23292, -46598, -69904?\n\"Answer: -23306*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or 1855104481?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -8*z + 406*z**2 + 5*z - 24*z**3 + 20*z - 423*z**2. Let a(q) = 3*q**3 + 2*q**2 - 2*q. Calculate 51*a(k) + 6*u(k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 112 (base 4) to base 3\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 6 - 14. Suppose -48 = -5*p + 2. Let w = f + p. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 644 and 18239?\nAnswer: 510692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4012333021 + -23?\nAnswer: -4012333044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4166 divided by 117\nAnswer: 4166\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qwrr when four letters picked without replacement from {r: 4, f: 2, q: 1, w: 6}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -28, -38, -52, -70, -92, -118?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**4\/4 - 4398*p**3 - 1129027*p**2\/4 - 8449485*p\/2 + 9613692 = 0.\nAnswer: -33, 2, 17656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -134*c + 2*c + 338*c to the form w + k*c and give k.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 19 + 28 = 0. Solve 0 = 8*v - c*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 22*h**3 + 13*h**2 - 3*h + 60. Let v(s) = -14*s**3 - 9*s**2 + 2*s - 40. Determine 5*c(o) + 8*v(o).\nAnswer: -2*o**3 - 7*o**2 + o - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3. Let t(a) = -2*a**3 - 2*a**2 - 2*a - 1. Let r(h) = -2*f(h) - t(h). Let c be r(-1). What is the units digit of (-3 + (c - -3))*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of 3\/8*y**4 - 5\/6*y**3 + 1\/120*y**6 - 4*y**2 - 3\/20*y**5 + 0 + 0*y. What is the units digit of i(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - 5. Suppose -38 = w*x + 2*m, -2*m - 2*m = 20. Let d be x + 1\/1*2. Put d, 4, 6 in ascending order.\nAnswer: d, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50727, -50739, -50751, -50763?\nAnswer: -50775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*j**3 - 27*j**4 - 9*j**3 + (4*j**3 - 4*j**3 - 2*j**3)*(4 + 2*j - 4).\nAnswer: -31*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/21)*q*q**(2\/7) assuming q is positive.\nAnswer: q**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 68*g**2 + 93*g - 1454. Calculate p(67).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 57, 189, 463, 927, 1629, 2617?\nAnswer: 3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3734210133?\nAnswer: 3, 138304079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 32349*g**2*x**2 - 4844*x**2 + 3 wrt g.\nAnswer: 64698*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r**2 + 0*r**2 - 3*r**2)*(-5*r - 3*r - 7*r) - 5*r**3 + 4*r**3 + 9*r**3 in the form l*r + z*r**2 + h + a*r**3 and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (113 - (2 - 8))*(0 - -1). Suppose -2*c + 85 = u + 15, -3*c - b = -2*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -11. Let g be 2\/(((-8)\/(-12))\/(b - -2)). Let 7*s - 47*s + g - 50*s**2 - 11 = 0. Calculate s.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(17)*-5 + (-1*sqrt(187))\/sqrt(11))**2 - (sqrt(1377)*2 + 4).\nAnswer: -18*sqrt(17) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -157, -126, -6\/7 in decreasing order.\nAnswer: -0.2, -6\/7, -126, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002535 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -15*(9982\/(-93))\/46\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66176859 divided by -9453837.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.5508549um?\nAnswer: 0.0005508549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, l: 3, p: 2, t: 3}. What is prob of sequence gll?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uoo when three letters picked without replacement from {o: 3, a: 7, d: 7, u: 2, c: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -x**4\/6 + 31*x**3\/6 + 15*x**2 + 2*x. Let r be y(0). Find the second derivative of r*o + 25*o**2 + 2*o - 62*o**2 wrt o.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 5*v**2 + 4. Let s be n(5). Suppose 59 = 4*d - z - 4*z, s*z + 45 = 3*d. Suppose -3*t + d = -7. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -264 + 215?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from jjjoojol.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.6669962 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 7*u**2 + 13*u - 109. Let z be j(6). Solve 5*k + 40 = -z*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1757, 1203, -295, -3211, -8019, -15193, -25207, -38535?\n\"Answer: -79*f**3 + 2*f**2 - 7*f + 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 3*t + 35, -4*t = -f - 4*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a + 8. Suppose 5 = -5*s + 3*b, -5*s = 5*b - 5 + 50. Let h be p(s). Solve -h*r = -4 - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 6. Calculate n(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -65 - -182. Suppose -5*t = -10, -2*t - h = -3*w - 5*t. Let z(o) = -o**2 + o + 10. Calculate the remainder when w is divided by z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 3:27 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 289*y - 1484?\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of 0*m**5 + 0*m**6 - 11\/2*m**3 + m**2 + 0*m + 0*m**4 + 12 + 4\/15*m**7. Find the first derivative of v(h) wrt h.\nAnswer: 224*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*i + 206*i + 28*i + 187*i.\nAnswer: 375*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10184 is divided by 3360?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**3 - 15*x**2 - 15*x + 102. Determine f(6).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 639029272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = c - 3*u, 9*c - 5*u = 14*c - 20. Solve a = n + c, 2*n - 71*a = -73*a + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13323012132 (base 4) in base 6?\nAnswer: -112304050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*6*(sqrt(77) - (2*sqrt(77) - sqrt(77) - sqrt(77))))\/(1*sqrt(396) + sqrt(396) + sqrt(396) + sqrt(396)*-2).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/6 + 71*n**2\/3 + 2863*n\/6 + 1360\/3.\nAnswer: -(n - 160)*(n + 1)*(n + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.7828573m?\nAnswer: 782857300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13.35 - -13. Let w = f + 0.05. Which is the nearest to -0.1?  (a) 0  (b) w  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -35*y**3\/6 - 9*y**2\/2 - 1332*y. Let q(k) = 52*k + 13. Calculate 5*q(d) + 7*z(d).\nAnswer: 15*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 23987000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-33 - 3)*(0 - -1)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -925, -5, -1\/6, -1\/2.\nAnswer: -925, -16, -5, -1\/2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 32, 220452?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 297*q**2 + 45*q. Let y(d) = 27*d**2 + 4*d. Let c(p) = -4*b(p) + 45*y(p). Let k(w) be the third derivative of -w**4\/4 + 2*w**2 - 12*w. Give c(k(g)).\nAnswer: 972*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4844516751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*d + 36 = -29*d. Let i = d + -83. What is the tens digit of i\/(2\/(1 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, x: 5, i: 3}. Give prob of sequence xx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 9*n - 17. Let a be (-12 + 11)\/((-2)\/(-12)). Let b(s) = -3*s + 6. Let z(t) = a*g(t) - 17*b(t). Let i(m) = -2*m. Give z(i(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3871 + 3854. Let v(a) = -32*a**2 - 17*a. Suppose 3*d + 6 = 4*d. Let k(f) = -11*f**2 - 6*f. What is d*v(b) + g*k(b)?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 62168144795 - -16.\nAnswer: 62168144811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 10 + 14 - 7 - 13*f. Let z be t(-14). Suppose -z*v - q + 16 = 0, -2*q + 22 = 3*v - 4*q. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3 less than 0.083464612?\nAnswer: 1.383464612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9195211679420 minus 0.3?\nAnswer: 9195211679419.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 824 - 818. Solve -d*z + 2*z - 4 = -2*u, -3*z + 23 = 5*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -1*sqrt(500) - sqrt(500))**2 - (sqrt(500) + 2*sqrt(500) + -5)**2)*-2.\nAnswer: -680*sqrt(5) + 5048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w**2 + 138*w - 138*w)*(4 - 1 - w - 4) + (-w**2 + 2*w**2 - 3*w**2)*(6*w - 4*w + 0*w).\nAnswer: -10*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -539 - 681 = 122*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -3  (c) -704\/3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84588 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7200 and 1035?\nAnswer: 165600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d. Let r(c) = c**2 - 7*c - 2. Let u(i) = 2*b(i) - r(i). Let j be u(5). Suppose -4 = -y - j. Solve 2*o - 1 = 4*v + 5, -y = 2*o - 2*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - -110?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -491*d = -9863 + 2007 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 275760?\nAnswer: 2, 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -183.2 + 306.5. Let i = -1.3 + g. Let b = i + -123. Is -1\/15 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1973 + 3315. Suppose -2*w + u = 34. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24 - (39 + -38)) + -34\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2335 + 12586. List the prime factors of g.\nAnswer: 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 5  (c) 0  (d) 7\/141\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*d + 574 - 582, -2*y = 5*d + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -52.3, 598.1?\nAnswer: -52.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b*g**3 + 14*b*g**2 - 2*b*g - 12656*b - 20602123*g**3 with respect to b.\nAnswer: 2*g**3 + 14*g**2 - 2*g - 12656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 512.84 - -11.16. Let u = 524.5 - m. What is the fourth smallest value in -2, -5, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-44)\/52 - (53 + 16500\/(-572)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 2*r - 83, p - 5*p - 176 = -4*r. Let b = r - -7. Suppose 1474*m - 1471*m - 21 = 3. Calculate the highest common factor of b and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {w: 2, t: 3, j: 4, u: 2}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.357355 decades in months?\nAnswer: 522.8826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 1. Suppose -3*w = -a - 23, r = -2*w - 5*a + 29 + 9. Solve v + w = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1e894 (base 15) to base 10.\nAnswer: -99814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-1)\/(-15)) - (2153 + -2088)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -366\/113 less than 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41\/(-196) + (-11)\/(-44)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9189969 years to months.\nAnswer: 11.0279628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -b6 (base 14) in base 2?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3586 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - l - 18. Let b be 3 + 0 - 0 - 1. Suppose 44*j = 42*j - 139*j + 564. Solve b*v = l - j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7630, -7630, -7632, -7636?\nAnswer: -7642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 5*h**2 - 7)*(3*h**3 - 4*h**3 + 3*h**3 + 3*h - 3*h + 3*h**3 + (0*h + 0*h + h**2)*(-h + 0*h + 3*h)).\nAnswer: 35*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 - 11*h**2 + 3*h + 21. Suppose 18*t = -128 + 380. List the prime factors of o(t).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 33, 39, 59, 105, 189, 323, 519, 789?\n\"Answer: 2*m**3 - 5*m**2 + 7*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence syyy when four letters picked without replacement from sssyyyyssysys.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/3))**(3\/13))**48\/(t\/(t*t**(1\/9))*t\/t**(-1\/4)*((t**(-2\/5)\/t)\/t*t)**10) assuming t is positive.\nAnswer: t**(2563\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 2*c**2 - 2*c + 1. Give y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 117\/(-741)*1881\/(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 359 - 326 = m, 3*m - 57 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-108)\/(-2106)*(-124 - -1) - (-4 - (-6)\/(-3))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 + (15 - 33) - 48?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of 4*q - 6\/5*q**5 + 5\/6*q**3 + 0*q**4 - 94*q**2 - 28. Find the first derivative of l(o) wrt o.\nAnswer: -72*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23357735 rounded to the nearest 100000?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of 7 - 5*o - 11*o - 47*o**2 + 1 + 3*o. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*k = 2*k - 172 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = 4*r - 2, -218*r - 36*g - 36 = -221*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3364033 (base 11) to base 8.\nAnswer: 26361742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3*u = 149, 3 - 106 = -3*q - 5*u. Suppose -2*f - 7 = -q. Let p be 5\/2 - f\/(-8). Round p to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -5*a + 244, -3*a + 8*a + 4*i = 224. What is the common denominator of 77\/20 and 2\/(-4) - 508\/a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 29*q**2 + 5*q + 90. Let n(t) = 44*t**2 + 7*t + 136. Let v(y) = -5*n(y) + 7*x(y). What is the derivative of v(i) wrt i?\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3468578 is divided by 867087.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 7*u + 1064 - 976, -2*u + f = -f + 28 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 + -0.265.\nAnswer: 11.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4 = -0. Suppose l = -f + 4*f + 9, -3*f = 4*l - 6. Calculate the remainder when 11 is divided by k - (-1)\/(2 - l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-270075)\/3510 - -74) + (-105)\/(-18)\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56 - 14. What is the units digit of (-14)\/(-2)*t\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 270542*c**3 + 2*c - 135093*c**3 - 135040*c**3.\nAnswer: 409*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeehk. What is prob of picking 1 e and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 16\/9*p**3 + 14\/45*p**6 + 2*p**5 + 4*p**4 + 18*p + 0*p**2 + 0. Factor u(d).\nAnswer: 4*d*(d + 2)**2*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -6\/13249499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 3*a + 6, 7 = 2*d + 3*a + 1. Suppose -7 - 2 = -d*m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 577511?\nAnswer: 11, 52501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -28*n**5\/5 + n**4\/2 - 363*n**2 - 283. What is the second derivative of x(c) wrt c?\nAnswer: -336*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3646617 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1074 - -12737?\nAnswer: 11683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 10:17 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -31  (b) -5  (c) 1\/5  (d) -1\/2  (e) 2  (f) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3197 - 3173. Solve j*g = 29*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from irprirppdi. Give prob of sequence pd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of x**4\/24 + 129*x**2 - 3*x. Let d(k) = -3*k**2 + 17*k. Let v(h) = h**2. Let y(c) = -d(c) - v(c). What is l(y(m))?\nAnswer: 2*m**2 - 17*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33675 and 101025.\nAnswer: 101025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -3*z + 80. Let g(j) = j**3 + 20*j**2 - 4*j - 8. List the prime factors of g(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 9, -1, -11?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -386 or 4255?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2004, -3982, -5930, -7836, -9688, -11474?\nAnswer: -13182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 7*i**2 - i + 10. Let k be t(7). Suppose m - 2 = -g, k*g + 50 = 8*g - 5*m. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 260 + -123. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q**2 + 0*q**2 + q**2 + (-1 + 1 + 2*q)*(61*q - 4*q + 2*q) in the form n + i*q**2 + m*q and give i.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 10:15 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p + 2*p - 4*p)*(-4829*p + 7 + 9796*p - 4753*p) to t + u*p**2 + b*p and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 23\/((-30)\/(-20) + 1\/(-2)). Solve h = -2*c + 31 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 11:15 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(880) + sqrt(880)*2 + sqrt(55))\/(sqrt(110)\/(2*sqrt(10))).\nAnswer: 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 108991 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -17430437, -34860886, -52291345, -69721814, -87152293, -104582782, -122013281?\n\"Answer: -5*x**2 - 17430434*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -115*(-594)\/(-330)*1*3\/27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 + 44. Let r be (-14)\/(-3 + 10) + 26*g. Suppose r + 15 = o. What is the highest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.14 - 0.04. What is the closest to 2\/11 in 4, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8b (base 12) in base 10?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3257 (base 8) to base 13\nAnswer: -a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 276520 = -5*z, -5*z + 110620 = -3*z + 4*q. Round z to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26730 and 2331153.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2913 - 2926.93. Let b = -0.17 + h. Round b to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8908*y**3 - 60 - 1 - 17813*y**3 + 8883*y**3.\nAnswer: -22*y**3 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -239614 + 258303915\/1078. Calculate the common denominator of -35\/11 and c.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.25 - 0.35. What is the smallest value in -2, -0.4, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/106 and -85\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 781*j + 2309*j + 2547*j.\nAnswer: 4075*j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**7*b**(2\/7)\/b)**(-2\/21)*((b*b**(1\/3)*b)\/b)**(5\/3)\/(b**(2\/3))**(2\/33) assuming b is positive.\nAnswer: b**(2560\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 5*d - 9, -2*c = -2*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 3180222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76 = -2314*y + 2333*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*f + 4. Let c be (6\/(-2))\/(132\/f). What is the closest to 0 in c, -5, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 2041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66958 is divided by 1676.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3 + 1 = 0. Sort 9, g, -3 in increasing order.\nAnswer: -3, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 21 = -10*c. What is the second derivative of 2*d - d**2 + 3*d**2 - c*d**3 - 8*d**2 + 1 + 2*d**2 wrt d?\nAnswer: -18*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28*((-198)\/(-99))\/(-1)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 24*g - 1. Let o(n) = 3031765*n. Give z(o(h)).\nAnswer: 72762360*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(3\/8)*3. Suppose 2*p - q = 2. Let i(r) = r + 16. Let j be i(-13). Sort j, p, 4.\nAnswer: j, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/13  (b) -4\/5  (c) -4  (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -2. Let l = -114.05 - -110. Let y = 0.05 + l. Sort y, o, 0.4 in descending order.\nAnswer: 0.4, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -81  (b) -0.19  (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108491 is divided by 1233.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 168551 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/105 - ((-90)\/(-120))\/((-42)\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -597727, -1195507, -1793349, -2391283, -2989339, -3587547, -4185937, -4784539?\n\"Answer: -5*w**3 - w**2 - 597742*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(1\/4)\/y)**(1\/22)*(y*y**1)\/(y**(-4)*y))**(6\/11))**(19\/4) assuming y is positive.\nAnswer: y**(24909\/1936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2367 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3448 - 305?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 119836 - -37844. Suppose 204*v - 212*v = -n. Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233 + 1183 + 23*b - 269.\nAnswer: 23*b + 1147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11659 - 6411. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/12)\/((-8)\/(-36)). Solve t*s = s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33084\/9190*(0 - (-10)\/3)*3\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -15*x + 107. Determine l(3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q + 2*q + 2*q. Let i(f) = -4*f**2 + 6*f. Let p(b) = -8*g(b) + i(b). What is the second derivative of p(m) wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 4 = 8. Let q(w) = -4 - w**2 + y*w - 54*w**3 + 4*w**2 + 57*w**3 + w. Let k(f) = 3*f**3 + 4*f**2 + 4*f - 5. Give -3*k(g) + 4*q(g).\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5 + -1*sqrt(1377) - ((-1*sqrt(1377) + 3)*-4)**2.\nAnswer: -22167 + 855*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 862451 is divided by 861404.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5771608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1993 - -15.\nAnswer: -1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1081592.\nAnswer: 2, 353, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 979 - -877. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1698620 is divided by 613?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2973318 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 11 - 3 = 0. Suppose 0 = -4*s - i - 61. Let o = s + 26. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -21100 (base 3) to base 9\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.84 + -70.\nAnswer: -69.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6107\/2 - 2645. Is 410 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -y - y + 10, 0 = y + 2*j - 5. Suppose -154 = -o + 2*i, -604 = -y*o - 2*i + 154. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-2\/5)*s**(-2)*s*s\/((s**6\/s)\/s)*s**(-5)*(s**0*s*s)**(-13)\/(s\/s**(-6)*s**(-1)) assuming s is positive.\nAnswer: s**(-207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 2 = -6. Let m = -2615 + 3871. What is the derivative of -m*d**2 + 11 + 1262*d**t + 13 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 894189, 894169, 894131, 894069, 893977, 893849, 893679?\nAnswer: 893461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 8, 0.1, 25.3, -2, -5\/2 in decreasing order.\nAnswer: 25.3, 8, 0.1, -3\/2, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 85575261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(1\/4)\/i)**(2\/171))**(-34) assuming i is positive.\nAnswer: i**(-17\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v + 6*v - 2*v + v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 10 + 4, 259724 = 5*y - 3*z. List the prime factors of y.\nAnswer: 127, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 6. Which is the biggest value?  (a) -1  (b) l  (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - x - 31 = 7*n, -2*n = 4*n - 2*x + 34 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -824*h + 1027 wrt h.\nAnswer: -824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 5*t = 1, -3*b + 34 = -8*b + 2*t. What is the remainder when b\/(-6)*(-1392)\/(-32) is divided by (-155)\/(-10) + (-2)\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (4 + 5 - 4). Let r(p) = -p**3 - p**2 + 4*p. Let w be r(t). Let u(k) = w - 9*k - 3 - 2. Let a(h) = 8*h - 1. Determine -7*a(c) - 6*u(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -75*h**2\/4 + 330*h - 1452 = 0. What is h?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 1. Let u(p) = -7*p - 4. Let s(h) = -8*h - 5. Let y(d) = 6*s(d) - 7*u(d). Let t be (-1 - 0)*1\/(-1). Give t*y(g) + 2*l(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67480128 divided by 16.\nAnswer: -4217508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -320, -296, -234, -116, 76, 360, 754, 1276?\n\"Answer: 3*z**3 + z**2 - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286 = 4*t + 1990. Let u = 807 + t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 751 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 30867737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -340 + 1?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**3 + 7 - 7)*(2*b**2 - 6*b**2 + 9 + 3*b**2).\nAnswer: -b**5 + 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 9*v**2 - 21*v - 5. Let j be i(11). Let l(g) = 4*g - 5. Let z(x) be the third derivative of -x**4\/6 + x**3 + 4*x**2. Determine j*l(c) + 5*z(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -962*s**2 - 45*s + 71. Let o(t) = 175*t**2 + 9*t - 14. Let u(k) = -11*o(k) - 2*y(k). Calculate u(-12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*o**4 - 103*o**3\/2 + 25*o**2 + o\/2 = 0. Calculate o.\nAnswer: -1\/52, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-20)*-2*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 54 - 49. Suppose w = -3*u + 47. Suppose -u*k + 11*k = 6. Let c(l) = -2*l - 1. Let d(g) = 2*g. Give k*c(i) - 3*d(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*x + 4*x + 2*x + (-x + x + 2*x)*(196 + 256 + 51).\nAnswer: 1007*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 114 + -115. Let p be 1\/(3\/(18\/(-14))). What is the nearest to o in p, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2519 + -12666\/5. Let f = 14 + m. What is the second biggest value in -0.3, -0.4, -2\/3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99565117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(4\/3)\/(t\/(t**6\/t)))**(-1) assuming t is positive.\nAnswer: t**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccccccciicgccictciic. What is prob of picking 1 t and 2 i?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 13. Let h = 7.6 + w. Let a = h - 0.2. What is the closest to -0.3 in -0.3, a, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a + 351509 + 16523 = 0. List the prime factors of a.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 4:48 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - -15. Suppose -t*z + 0*x = 3*x + 10, -3*z = 5*x + 22. What is the first derivative of -1 + 5 + y + z wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4597 + 4597. Solve 7 = b - 3*p, -3*b - 18*p + 15*p - 15 = h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and -0.367.\nAnswer: -2.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 206612858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 1851*j**2 + 249*j**2 - 3.\nAnswer: 2100*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 2:23 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - (2 - (-172 - -2)). Let n = f - -1214\/7. What is the closest to 1 in -4, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27.77 - 75.26. What is o rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 - 24. Solve 0 = -u*g - 24 + 66 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-6)*-2)\/(2\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1489 + 23825\/16. Let z(l) be the first derivative of 0*l + 17 + 0*l**2 + v*l**4 - 1\/20*l**5 + 0*l**3. Let z(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/4))**(-34)*(y**5\/y)\/(y\/y**(4\/3)) assuming y is positive.\nAnswer: y**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5\/23, -4, 80, 6?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67669368 and 642.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbdkgkddxkgkdkkbgdkx. Give prob of sequence kddx.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/66)\/(5\/(100\/(-15)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/141, 2\/3, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o - 18691 = -4*a - 18735, 3*o = -36*a + 225 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -1746*q + 3502*q - 1 - 1752*q. Determine r(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109 times 3.3902?\nAnswer: 369.5318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 105683 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42344075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2. Let t(u) be the second derivative of -u**3\/6 + 7*u**2\/2 + 3*u. Let d be t(5). Let h(p) = 3*p**2 - 2*p**2 + 2*p**d. Calculate q(h(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 94 - (24 + -36 + 43 + -26)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136000 = 7*s - 11*s. Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -448 by 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 4)*(-4*g**4 + g**2 - g**2) - 5*g**4 + 8*g**4 + 7*g**4.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/27 and -37\/4073319.\nAnswer: 12219957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1174875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48 - 35. Let s be 17 - k - (-1 - -1). List the prime factors of 26*5 + 0 + s + -7.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 divided by 1?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -934 + 937. Let a(z) = 14*z**3 + 1 + 11*z**o + z**3 - 15*z**3. What is a(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 4*j**2 - j - 2. Let n be p(3). Let q be (n - 2) + 4\/2. Determine t, given that t**q - 2*t**4 - 3*t**5 + 0*t**4 - 2*t**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 1) + ((-21123)\/(-27) - 7). Let z = 775 - a. What is the fourth biggest value in -0.03, z, -1\/9, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d**5 - 1237*d**4 - 53*d**3 - 28908710*d**2?\nAnswer: -120*d**2 - 29688*d - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**2)*r)**(-8\/11)*(((r*r**(1\/7))\/r)\/r)\/(r*r**(-2\/11)) assuming r is positive.\nAnswer: r**(-73\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 496 and 780056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -15 * -348\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y**3 + y**3 + 0*y**3 - 3*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 835*d + 11681 - 11681 - 2*d**3.\nAnswer: -2*d**3 + 835*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**4\/5 - 1193*n**3 + 318954*n**2\/5.\nAnswer: -n**2*(n - 53)*(n + 6018)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 7 = 8*y - 7*y, -b = 2*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 672 + -781?\nAnswer: -10f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of 7*n**3\/3 + n**2 + 272*n. Calculate w(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23306427 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 thousands digit of 1002021999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -622516*w**3*z + 16*w**3 + 2*w**2 + 1655*z - 1 wrt w?\nAnswer: -3735096*z + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 16945, 16941, 16935, 16927?\n\"Answer: -u**2 - u + 16947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 PM and 7:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-61)\/((-22448)\/(-96)))\/(-6).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**2\/a)**(3\/16)*(a\/a**3)**(-23) assuming a is positive.\nAnswer: a**(739\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -1. Let f(p) = 2*p**2 + p. Suppose 142*z - 146*z - 8 = 0. Give z*b(q) - f(q).\nAnswer: -2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 12*z**2 + 6*z + 2. Let s(i) = -i**3 - 11*i**2 - 4*i - 2. Let d(w) = 7*s(w) + 6*u(w). Give d(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/15544 and -93\/2680?\nAnswer: 77720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*y**2 - 2*y**2 + 8*y**2 - 3*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert e (base 15) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 843847 is divided by 70318.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 25\/5 + 25 - (4 - -4). Let h(r) = -3*r + 2. Let v(m) = -8 - 5 + 16*m + 2. Calculate u*h(c) + 4*v(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2232 + -8?\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -410211450 (base 6) to base 7.\nAnswer: -113426520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) -4  (b) -0.1  (c) 1\/4  (d) 0  (e) 4.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29\/5 + 271\/45. Let d = 0 - -0.3. What is the third smallest value in d, u, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4247410 divided by -46\nAnswer: -92335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2 - (-4 + 1 + -1) is divided by 0 + 0 + 2 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10263, -20533, -30803, -41073?\nAnswer: -51343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(700) - (2 + sqrt(700) + 5)**2)*1*-4.\nAnswer: 520*sqrt(7) + 2997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0211436 < 0.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + r - 5*b + 155 = 0, 3*r - 2*b = 280. Let t be (-836)\/(-14) + 8\/28. Calculate the highest common divisor of t and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = q + 8, 0 = 5*o - 4*q - 218. Suppose -4*g + 3 = -3*g, -4*g - o = -3*l. What is the remainder when 57 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 3*h - 3. Calculate t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 4*x**2. Let k(q) = 2*q**2 - 2*q + 1. Let p(j) = -798*j**2 + 532*j - 266. Let u(f) = 266*k(f) + p(f). Calculate w(u(i)).\nAnswer: 283024*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 2:40 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6666\/404*4\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -98*q + 37583 - 41013 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -4, -0.3, 101\/33?\nAnswer: 101\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -171*n**2*q**4 + 28*n**2*q + n*q + 2*q**4 + q**2 wrt q?\nAnswer: -4104*n**2*q + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -13  (b) -110\/7  (c) 0  (d) -23  (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 687 is divided by 134.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30300?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - ((4 - -3) + (-197 - -217)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7435593 (base 10) in base 4?\nAnswer: 130113111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-159680)\/(-4500) - 37) + 6\/(-150)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196269 - (-3 - (-9 + -16)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g. Let o(z) = 28*z - 17. Let m(d) = -7*d + 4. Let w(t) = -9*m(t) - 2*o(t). Determine v(w(i)).\nAnswer: 14*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 423527?\nAnswer: 13, 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12 - 43522?\nAnswer: -43510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 774901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 4d7?\nAnswer: -4d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2665773232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -274 + 280. What is the lowest common multiple of 372 and a?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13678\/5 - -2717. Which is smaller: -18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-2)*20\/5. Suppose x*q = -0 + 38. What is the remainder when q is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13\/51 + -37\/255. What is the second smallest value in j, -58, 0.4, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**5 - 556*i**2 + 41515*i wrt i.\nAnswer: 60*i**3 - 1112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-1)*38\/38.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 12:21 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 15 = -w, 4*v + 17 = 4*w + 53. Suppose 0 = v*x - 9*x - 27. What are the prime factors of ((-1)\/(-2))\/(x\/(-630))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -929, -1753, -2577?\n\"Answer: -824*v - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 3:10 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.36 + 449.64. Let d = f + -450.000031. What is d rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 5)*((-3*o - 3*o + 5*o)*(-1 - 1 + 3) - 3 + 3 + 2*o + 2 - 2 + 3*o)*(1 + 2*o - 1).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g + 40. Let h = -8 + 13. Let w be (-15)\/h + (2 - -1). Is v(w) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -4*g + 3*g + g + 9 + g. Let v be o(-9). Suppose v*k = -k + 2. Solve 0 = 3*z - 2*s - 21, 4*s = -z - k - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + k + 2*d + 10 = 0, -5*k + 32 = 4*d. Suppose 0 = -l + 5*v + 10, -3*v = -2*l + 3 - 4. Put k, l, -4 in descending order.\nAnswer: k, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-5 + 2 + -8 - (-3 + -2)) - 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -24*x**5 - 406705*x**4 - 1722611690*x**3 + 3374634915*x**2 - 1579807820*x - 71808676 = 0?\nAnswer: -8474, -1\/24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17085071507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97671?\nAnswer: 3, 7, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - -1 - (-14 + 55).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**4 - p**4 - p**4)*(-4*p - p + 3*p) + 0*p**5 - 3*p**5 + 2*p**5 + p**5 + 2*p**5 - p**5 - 41*p**3 - 2*p - 2*p**5 + 41*p**3.\nAnswer: p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 2, 3, -0.197, -1\/3, -2\/3.\nAnswer: -2\/3, -1\/3, -0.197, 0.07, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 97\/(-388) + (-7590)\/(-8) + -3 + 1. Which is smaller: c or 947?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -818?  (a) 21\/34  (b) -0.15  (c) -0.4  (d) -1  (e) 1\/2  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -29882838?  (a) -1  (b) -4  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 220.999802 + -221. What is z rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6385 - 6391. Which is the third smallest value?  (a) z  (b) 0.01  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-5))\/(14*(-24)\/(-720)). Factor -q*a - 1\/7*a**2 + 0.\nAnswer: -a*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20311233000 + -1123?\nAnswer: 20311231211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*a + 379*a = 328386. Is 705 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -117773 and 11.\nAnswer: -1295503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 212121112 - -100?\nAnswer: 212121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r\/r**(-5)*r*(r*r**(-20))\/r*r assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16926 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42 - -52. Let w = 10 - 19. Let k = w + g. Which is smaller: k or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j + 1. Let v = 35 + -33. Suppose v*l + 4*r = -l + 15, 3*r = -l + 10. Suppose 4*q = -m - 20, 3 - l = -q - m. Determine t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 153 and 57668607?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 802.899 + -805. Let q = g - -0.101. Let r = 0.1 - 0.3. Which is the nearest to q?  (a) r  (b) -0.5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n**2 - 10*n - 1. Let b(s) = 19*s - 1. Let c(g) = g**2 - 12*g + 13. Let j be c(11). What is the remainder when b(j) is divided by t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m**3\/4 + 19439*m**2 + 23313955*m\/4 = 0. Calculate m.\nAnswer: -77455, -301, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 107394?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1155 in -16.8, 18, -0.5?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1741903, 3483807, 5225713, 6967621?\n\"Answer: z**2 + 1741901*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -7*n**3 + 1257*n**2 - 716*n + 18. Calculate m(179).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 972 a factor of 3928824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, -1\/2, 2, 1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120132 - 11?\nAnswer: -120203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0*b = -8. Suppose 6 = b*z - 34. Suppose -4*r + 3*d = -126, 0*d = -5*d - z. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/7)\/((16\/8)\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5517 and -1.1.\nAnswer: -6068.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 69 - 65. Which is the smallest value?  (a) -6  (b) -5  (c) -1  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3534)\/(-36) + 1\/(-6). Suppose 13*h = 110 + s. Let l(j) = -57*j - 1. Let w be l(-1). What is the greatest common divisor of h and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-304)\/(-3192)*(-9)\/(-12)*-2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3\/2 + 69*i**2\/2 + 240*i + 450.\nAnswer: 3*(i + 3)*(i + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of b**5\/20 - b**4\/4 - 11*b**3\/6 - 3*b**2\/2 - 5*b. Let m be z(5). Let k be ((-4)\/m - 0)*0. Solve k = -p + 4 - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + 4*x + 25, -q - 11 = 5*x - 3*x. Let z be -8*q\/(12\/15). Let w = 12 - z. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54 - 1757.\nAnswer: -1811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 0.0521, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**8*d*d*d*d*d**(-2\/105)*d*d)\/((d**(-17)*d)\/(d**(-1\/3)\/d)) assuming d is positive.\nAnswer: d**(3008\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 4*s - 32 = -5*s, 3*q - 33 = 4*s for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m + 22. Let i be l(-18). Suppose -4*q - i*q = -16. Solve 4*x = 4*d + 40, 3*d + 7 - q = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71 - -92. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i**7\/i))*i\/(i*i*i**(-8\/5)*i)*i)\/(i**5\/i**(-6)))**(-4\/7) assuming i is positive.\nAnswer: i**(88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7964553 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3577)\/6132)\/((-49)\/21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -97212452\/3043743 - 15\/106798. Let g = -550082\/57 - -9651. Let o = g + r. Find the common denominator of 91\/22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/316339 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/(-6) + -1)*-6. Suppose 4*s - 28 = -2*l, -b*s = -2*l - 0 - 2. Suppose -d - c = 35, -4*c + 68 = -s*d - 80. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from blnhp. What is prob of picking 1 n and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6348 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fgn when three letters picked without replacement from jkgnbjf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -20821000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 167\/6, 713, -8?\nAnswer: 167\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 less than -35626204.54968?\nAnswer: -35626204.44968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6231, 12345, 18459?\nAnswer: 24573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -10283?\nAnswer: 2\/10283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67661 is divided by 13291?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/24717 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1867, -1870, -1873, -1876?\n\"Answer: -3*n - 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22 and 420805?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 e, and 1 m when three letters picked without replacement from {i: 1, k: 1, r: 2, w: 1, m: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvggvvvvvvgv. What is prob of picking 4 v?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26974, 27045, 27220, 27547, 28074, 28849, 29920, 31335?\nAnswer: 33142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 138279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/5?  (a) 0  (b) 1.6  (c) -33  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1672 and 68134?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 0*w = 8. Suppose w*h - 4 = 6. Solve -h = -5*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j - 6. Let i be v(-4). Suppose -3*p = i*s - 12, p + 3*p - 16 = 2*s. Suppose u + 4*u - 50 = s. What is the least common multiple of 6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 1 + (sqrt(5) - -5*sqrt(45)) + -4 + (sqrt(55) + -2*sqrt(55))\/sqrt(11) + 5)*-2)**2.\nAnswer: 120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (89*c - 61*c - 55*c)*(-12 - 5 - 9) in the form o + v*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1133 (base 8) to base 2\nAnswer: 1001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 - 37*y + 12 - y**3 + 138*y as x*y**2 + t*y + z + d*y**3 and give t.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 386485, 386479, 386469, 386455, 386437, 386415?\n\"Answer: -2*b**2 + 386487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7619 and 11629?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 134998*x + 24. Let i be s(12). Round i to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29 and 9153647.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/4))**(11\/2)*s**(-11)\/s**(-4\/11) assuming s is positive.\nAnswer: s**(-1057\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.051 in 3, 11, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*t**3 + 0*t**3 - 2*t**3 - 4*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3472 and 3220.\nAnswer: 399280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1912 + 33?\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118413148 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209115?\nAnswer: 3, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/21, 0.4, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddppdpddddddd. What is prob of sequence ddpp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.9 or -9\/23?\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 329109?\nAnswer: 98732.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 5*s**2 + 9*s + 1570. Is f(-35) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - ((-19 - -21) + 1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 37.4087\nAnswer: -74.8174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2888*f**4 + 1 - 2*f**3 - 4 - 2886*f**4 + f in the form c + a*f + v*f**4 + x*f**2 + l*f**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqbqhhgyhqqqhqy. What is prob of picking 1 q and 1 b?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (0 + (sqrt(5) + sqrt(125)*-2 + -1*sqrt(5) + 4)**2 - (-4 + (sqrt(320) + 1 + -5)**2)).\nAnswer: -16*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 3352.\nAnswer: 5\/3352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 52 = -d - 145, 10 = 2*d. What is the remainder when 301 is divided by a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -0.5, 3, 0.7, 168?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**2 - 2*j**2 - 3*j**2 + (-2 - 4 + 3)*(-21*j + 0 + 18*j - 4*j**2 + 6).\nAnswer: 10*j**2 + 9*j - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4096, 4093, 4080, 4057, 4024?\n\"Answer: -5*r**2 + 12*r + 4089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -266 - -270. Solve -b = -3*p + 19, -p - c*b - 13 = -2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -54.0224 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 6*n**2 - 9*n - 5. Let d(q) = -3*q**2 + 5*q + 3. Let f = -40 - -22. Let u be f\/(-135) - (-92)\/(-15). Let w = -9 - u. What is w*v(i) - 5*d(i)?\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 684*t**2 - 8 - 9*t - 339*t**2 - 340*t**2 + t**3. Let x be k(-6). Let u = 1 - 1. Are u and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931)*1 + -5 + sqrt(931))*3)**2.\nAnswer: -1260*sqrt(19) + 33741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a meter in centimeters?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13\/18?  (a) -0.4  (b) 1  (c) -2\/3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3018 a factor of 154693626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 4770.531 seconds?\nAnswer: 4770531000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.864239 kilograms to milligrams.\nAnswer: 6864239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y + 3*c - 108 = 0, -18*c = 5*y - 11*c - 12*c + 255 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 42*i - 47*i - 18, i - 6 = 2*z. Let f = -22 + 22.4. Which is the closest to f?  (a) z  (b) 6  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 4.22348.\nAnswer: 1.267044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 344 = 3*f - 5*d, -3*d = 2*f - 6*d - 230. Let q = f + 10. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-4)\/(-9)*3*2478\/(-236).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(44\/(-11))\/(2*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159*q + 16 = 163*q. Solve q*z - 7*z = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10660 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 672882 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2321*l - 2326. What is k(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 5:50 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 191 + -196. Suppose -c + 20 = 4*u - 3*c, 0 = -4*u + 4*c + 20. Put -1, u, i in decreasing order.\nAnswer: u, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1454, -5747, -12904, -22925, -35810, -51559, -70172?\n\"Answer: -1432*j**2 + 3*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 282 - 76?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/4989636 and 101\/277202.\nAnswer: 4989636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 329 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1010010101101011100 (base 2) to base 9\nAnswer: -565642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 - -20e0497?\nAnswer: 20e049e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (24\/9)\/(2\/3). Suppose 0 = g*x + 5*b - 14 + 31, 3*x - 2*b = 16. Factor 4*u**2 - 4*u - 1 + u - 6*u**x.\nAnswer: -(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -k + 6, -5 - 5 = -3*k - i. Suppose d = 3, 0 = r - k*r + 5*d + 3. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2*w**3 - 4)*(-9 + 7 + 7)*(-204*w + 454*w - 554*w)*(-5 + 1 + 2).\nAnswer: 6080*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*h - 11 = -53, 4*f + 78 = -2*h. Calculate the remainder when 379 is divided by (f\/3)\/(5\/(-80)).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 PM and 5:01 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 3*x**3 + 17*x**2 - 92*x + 78. Give f(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 180*o + 209. Let m(y) = -183*y - 208. Let u(c) = 5*m(c) + 6*s(c). Find the first derivative of u(r) wrt r.\nAnswer: 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of a**3\/3 + 9*a**2 + 37*a + 140. Is 44 a factor of d(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/(-12) - 41905\/1972.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -1164*u + 1172. Calculate b(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-8) + (-10)\/8. Let r = z - -3. Let j be ((-6)\/(-12))\/(2\/12). Solve 4*k = -r*n + 14, j = 2*n - k - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 = -2*l - 3*q, -l - 337 = -5*l - 3*q. Suppose 0 = 3*o - l - 2. Solve 28 - o - 5*k**3 + 5*k**4 - 10*k**2 = 0 for k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1014*n + 3344 = -1010*n. Calculate the highest common factor of 132 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 + 543446?\nAnswer: 543434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, e: 5, a: 5, p: 7}. Give prob of sequence pbp.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -4885906 <= -24429527\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 947 + 137. Calculate the highest common factor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - s**2 + 3*s + 7. Let y be p(6). Suppose 0*q - y = -5*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (22\/8)\/(9*15\/(-540)). Let v(s) = -s**3 - 9*s**2 + 21*s - 29. Determine v(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {g: 2, p: 2, e: 3, l: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 2*b + 36. What is x(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 241638227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z - z + 2*z)*(z + 0*z - 2*z)*(-15 + 15 + 11*z).\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 109207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 248148.\nAnswer: 2, 3, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6507 and 9598548.\nAnswer: 86386932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -k**6\/120 - k**5\/60 + k**3\/3 - k**2. Let f be o(0). Let v(j) = -j**3 + 2*j**2 + 3*j - 3. Is v(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -452, -2093, -4830, -8663, -13592?\n\"Answer: -548*j**2 + 3*j + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of -q**5\/220 - 29*q**4\/22 - 224*q**3\/11 - 1328*q**2\/11 - 53*q + 31. Factor p(a).\nAnswer: -(a + 4)**2*(a + 166)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7628 is divided by 257?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 123728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 2*x**2. Let g(l) = l**3 - l**2. Suppose -2*i - 21 = -3*i - 5*b, -i - 3 = -3*b. Let d be ((-2)\/i)\/(2\/(-12)). What is d*g(z) + q(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*(1 - -3) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(3\/5*15\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 + 3 = -2*l. Find the second derivative of -10*b**2 - 7*b + 8*b + l*b wrt b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 778.04752 - 27.\nAnswer: 751.04752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-45))**(-2\/69) assuming u is positive.\nAnswer: u**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 4:29 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**2 + 50*c + 52. Let m be y(-24). Find the second derivative of 10*d**2 + 28*d**2 + 79*d - m*d**2 wrt d.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24655 (base 11) in base 7?\nAnswer: 205120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.048 - -2.152. Let h = s + -0.2. What is the second smallest value in 4\/5, -2\/11, h?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 24*b**2 - 70*b + 322. Calculate g(-8).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 112.4?\nAnswer: 22.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101111101 - 11100001011111100101?\nAnswer: -11100001101101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 3 - 3)*(4*n**3 + 25*n**3 - 6*n**3)*(-635 + 635 - 54*n).\nAnswer: -2484*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3935 - 3840. What is the remainder when p is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1024 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41925 divided by 3225.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m**2 + 241560*m + 49309675 = 0. Calculate m.\nAnswer: -48107, -205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00026645702 to 6 decimal places.\nAnswer: 0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2021*g**3*l**2*p - 6*g**3*l**2 - 23*g**3*l + 209*g**2*l - 2*g*l + 16*p with respect to p.\nAnswer: -2021*g**3*l**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 5*c + 230 + 245, -4*c = 20. Suppose t = 4*k - 774. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41 - 0 - 0 - (58 - 42 - 6)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -805?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.4?  (a) -1\/6  (b) 5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 47475 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 5*h**4\/12 - h**3\/6 - h**2\/2 - h. Let n be w(-1). Suppose 4*m = t + 22 - 2, -m = -3*t - 16. Solve 3*b - m*b + n = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 3*h**2 + h - 1. Let m be z(-3). Calculate the common denominator of 81\/20 and m\/6 - (-14)\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (11 + (-1 + -1 - 4)) - -63?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 7, 47, 351, -4, 5 in decreasing order.\nAnswer: 351, 47, 7, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3897 = k + 3688, 0 = 4*u + 3*k - 30375. What is the hundreds digit of -1 - 5\/(-2) - u\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 3*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z**2 + 4*z - 1. Let y(n) = 3*n**2 + 4*n - 1. Let m(c) = 4*h(c) - 3*y(c). Determine m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 * -3\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 0, -4*y = v - 0 - 2. Solve 2*u - 4 = 0, -5*l + l - 3*u + v = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -6*b + 5. Let h be u(-4). Suppose -240 = -39*j + 35*j. Let s = j - h. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11132 (base 4) to base 11.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 605 + 15*q - 605.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 948 and 735806?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 7:03 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 + 95*a**2 + 2235*a + 478. Calculate v(-53).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 0 = 8. Suppose 2*s + q*s = 776. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(8\/9))**50*((i\/(i*i\/(i\/(i**22\/i))*i)*i)\/i)\/(i**29*i*i))**29 assuming i is positive.\nAnswer: i**(-2233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*n + 2*j - 10 = 7*n, -5*j = 699*n - 696*n - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3143*j + 163 + 114 - 277 in the form t*j + r and give t.\nAnswer: -3143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 380 + -609. Let p = 245 + o. What is the lowest common multiple of p and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(360))\/sqrt(8) + (1*sqrt(10)\/sqrt(2)*5)**2.\nAnswer: 9*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 15*z + 15. Let v(u) = 2*u. Calculate v(h(d)).\nAnswer: 30*d + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 672173.\nAnswer: 31, 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 722*b**2 + 3*b + 26. Let s be (9 - 3)\/((-3)\/3). Let r be f(s). Round r to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 274*t**2 + 5*t + 5. Let c(l) = 265*l**2 + 4*l + 4. What is -6*c(g) + 5*f(g)?\nAnswer: -220*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 63770031827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 19  (b) 663  (c) -0.5  (d) -0.077\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 4*x - 7. Calculate v(10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72, -76, -72, -54, -16, 48, 144, 278?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -12. Let k = -26.8 + 27.1. What is the nearest to -1 in -0.2, k, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40221592201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -130750810 rounded to the nearest 100000?\nAnswer: -130800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p\/((p*p*p**(1\/7))\/p)))\/p)\/(p**(-3\/2)\/p))**(-22) assuming p is positive.\nAnswer: p**(-407\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 49973580 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1c (base 16) to base 15\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4043 times -16?\nAnswer: 64688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**2 + 3*q + 1. Let t be s(-2). Suppose -1 = 4*o + t*x + 13, 5*x = o - 8. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 327 divided by 6\nAnswer: 109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*q, 0 = l - 3*l + 5*q + 39. What is the greatest common divisor of l and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 m when four letters picked without replacement from qqmydsdyqmqqqm?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**2 + o - 5. Let a(n) = -5*n**2 + 3*n - 15. What is 3*a(g) - 8*y(g)?\nAnswer: g**2 + g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -5*k**2 + 5*k + 10. Let h(r) = 4*r**2 - 6*r - 10. Let i(d) = -2*h(d) - 3*x(d). Suppose -8*u + 25 = -3*u. Is i(u) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/(-2) - (-9)\/(-18). Solve n*l = -4, c = -2*l - 2*l + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 41*h**3 + 85*h**2 - 10*h + 11. Give j(3).\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6 + -3 + -6)*-1. Let a(o) be the first derivative of -3\/2*o**2 - 8 + 0*o + 4\/3*o**g. What is the second derivative of a(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*f**2 - 48*f**2 + 90*f + 254*f - 3*f**3.\nAnswer: -3*f**3 - 7*f**2 + 344*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 252.1 - 252. What is the nearest to i in 2\/9, 0.5, 24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21*s - 10*s + 51*s**3 - 11*s)*(3 - 15 + 3) to j + f*s**3 + i*s**2 + x*s and give f.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(sqrt(12) + sqrt(12)*1) - (-2 + sqrt(200)).\nAnswer: -19*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3265685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 463 + -2?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 25\/2, -0.5, -0.4 in descending order.\nAnswer: 25\/2, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 3*g - 3, -2*a = g + g - 16. Let d = 15 + -11. Solve -d*u + 1 + a = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 186.5*-0.13\nAnswer: -24.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 9:01 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475) + (sqrt(475)*1 + sqrt(475) - sqrt(475))**2 + -2 + 5 + ((sqrt(475)*-1 - sqrt(475))*-5 - sqrt(475) - (1*sqrt(475) + 5))**2.\nAnswer: -395*sqrt(19) + 30903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-18)\/(-21))\/(-3) + (-319)\/(-455) and 7\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14a54 (base 12) to base 16\nAnswer: 71e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -70 - (82 + -210) - (-13 + 3).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 3*k**3 - 11\/2*k**2 + 0*k - 8. What is the second derivative of v(u) wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -59941, -59940, -59939?\n\"Answer: q - 59942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8728 and 17656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -145, -270, -289, -160, 159, 710, 1535, 2676?\n\"Answer: 7*m**3 + 11*m**2 - 207*m + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -9*p + 3. Give n(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 6 - 0. Let o be n\/((-6)\/(-9)) + 2. Let l be 0 + (o + -1)*1. Which is smaller: -3\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -d - 6, -2*d - 7 - 10 = -5*m. Let u(b) = 8 + 1 + m*b**2 - 9. Let x(h) = 9*h**2. What is x(u(t))?\nAnswer: 225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -6 + s**2 - 4*s - s + 0 + 1. Let y be (-3)\/6 + 63\/(-14). Let c(v) = 2*v + 2. Determine y*c(m) - 2*q(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -94 - -131. Suppose 0 = -5*m - 80 + 180. What is the remainder when b is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -58 + -43a?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 212425868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 122d (base 16) to base 10\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 491 + -475. Suppose 0 = 2*k - 4*r - m, 4*r = -8. Let p = -2 - -8. Solve k*o - 26 = -p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*u**3 + 6*u - 6*u + (-2*u**2 - 2 + 2)*(1 - 1 - u) - u**3 + 0*u**3 + 0*u**3 - 92*u**3 + 91*u**3 - 64*u**3 + 2*u**3 - 2*u + 2*u.\nAnswer: -57*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3 + 114*z**2 + 4332*z + 54872.\nAnswer: (z + 38)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -161\/24 - -59\/8. Let w = -1\/414 - 799\/12006. Which is the closest to 2\/11?  (a) -1\/4  (b) s  (c) -2\/7  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5342 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25.1 - -24.9. Sort 4, y, -3\/4, -3 in descending order.\nAnswer: 4, y, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 1 = 3. Let g be 6 + -3 + (v - 1). Sort g, 4, 2 in decreasing order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(1\/14)*j)\/j*j**(-5\/6))\/(j**7\/j*j**(-3\/4)))**(2\/83) assuming j is positive.\nAnswer: j**(-505\/3486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -258123 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3165698 is divided by 1055221.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -285081*a**4 + a**2 - 472*a + 81 wrt a?\nAnswer: -6841944*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12549196 by 3137299.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is -8*(155\/32)\/((-30)\/(-24))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 666*y = 332*y + 372*y - 1254 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*z + o - 19, -4*o = -12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107609830?\nAnswer: 2, 5, 17, 41, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.19 and 8952746.89699.\nAnswer: 8952747.08699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - 3. Let x = -673\/30 - -374\/15. What is the fourth smallest value in y, x, 0.3, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2512.07 meters to kilometers.\nAnswer: 2.51207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/3, 0.7, -1, -2\/5, -0.3 in decreasing order.\nAnswer: 8\/3, 0.7, -0.3, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, c: 7}. Give prob of picking 2 c.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7795961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97829.\nAnswer: 97829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**0))\/r*r*(r*r**(-1\/5)*r)\/r)**(-7)\/(r*r*r\/r**2*r**(-2\/11)*(r**(-2\/11)\/r)**25) assuming r is positive.\nAnswer: r**(1272\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of 21*a**2\/2 - 22. Let m(p) = -9*p**2 - 5*p + 5. Let j(g) = 4*g**2 + 2*g - 2. Let i(x) = 5*j(x) + 2*m(x). Give q(i(v)).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 219*l - 391*l + 97 + 75 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 103, 215, 335, 463, 599, 743?\n\"Answer: 4*s**2 + 100*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16538 - 183 = -19*w + 14344. Calculate the greatest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -3\/5, 1\/5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -37490.6 - 28\nAnswer: -37518.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -33 - -35001?\nAnswer: 34968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 9*g**2 - 56*g + 44. Calculate f(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 53*j - 784. Let p be o(-65). Which is the nearest to 16?  (a) 3  (b) p  (c) 0.5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -4, 142, 0, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 735690523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 181 and 7783.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186*l + l**3 + 142*l - 3*l**3 - 229*l.\nAnswer: -2*l**3 + 99*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 15 = 5*c - c - u - 0, 1170 = -90*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyoyoo. What is prob of sequence yyy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 58*g - 57*g + 603. Let k = g + 606. What is the closest to 3 in k, -0.2, -5, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -77454, -153675, -228648, -302373, -374850, -446079, -516060?\n\"Answer: 624*j**2 - 78093*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 760526 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 6*q - 2*r + 37, -q - 4*r - 25 = 0. Let z be q\/((-18)\/4) + 0. Suppose -z*p + 33 = -29. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -96 - 15*j + 121 + 122 in the form a*j + t and give t.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 0)*(1 + 2*w - 1)*(2 - 3 + 4) to the form q + t*w and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -5. Suppose -2 - 10 = -i*x, -2*q - x = -55. Suppose -4*s - h + 51 = -0*h, 0 = 3*s + 5*h - 17. Calculate the remainder when q is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 4:28 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85498*u = -85472*u - 79 - 259 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/6*212\/64. Let r = z + -14\/3. Let v be 5\/(-4) - 1\/(-4). Which is the nearest to v?  (a) r  (b) 1\/10  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.0221  (b) 5  (c) 0.01  (d) 148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (77 + 131 - 100 + 2*b)*(23 + 16*b - 42*b + 22*b) to the form a*b**2 + z + l*b and give z.\nAnswer: 2484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 120532 + 886?\nAnswer: 121528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -314 (base 5) to base 8.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2203301 - 22112?\nAnswer: 2131134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*d + 36 = 23*d. Let u be (1\/(-2))\/((-2)\/12). Find the second derivative of -u*i - 2*i**2 + 0*i**2 + d*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.6 + 12.2. Let n = 0.2 - u. Which is the nearest to -3?  (a) -1\/3  (b) 4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/25360 and -97\/20288?\nAnswer: 101440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 16*o**4 - 19428*o**3 + 786040*o**2 + 7305504*o - 1875200 = 0.\nAnswer: -8, 1\/4, 50, 1172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1078*c - 34743 = -153323 for c.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2200 - 23?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 11. Let v be 0\/(4*(-4)\/m). Let z = -0.3 - -0.4. Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 4:05 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 5*y + 25, 5*l + y + 4 + 1 = 0. Let o be 1*3 - l\/(-13) - -3. What is the third derivative of -34*p**6 - 4*p**o + 5*p**6 - 18*p**2 wrt p?\nAnswer: -3960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of q**6\/240 - 32*q**5\/3 + 25600*q**4\/3 + q**2 + 16*q - 2. Suppose x(t) = 0. Calculate t.\nAnswer: 0, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -400700 != -400704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -57378204 minus -0.31?\nAnswer: -57378203.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 3*k - 135 - 387, -4*k + 816 = 5*s. What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 222396691?\nAnswer: 11, 19, 181, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 - 12. Suppose -39 = -5*b + 3*t, 7*t - 51 = -5*b + k*t. Suppose 48 = 13*g - b*g. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of l**2\/2 + 2*l + 1. Let u be f(0). Solve -h + 5*h + 8 = u*q, 3*q - 10 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 55*j + 8. Let o(t) = -517*t - 1. Determine v(o(r)).\nAnswer: 267289*r**2 - 27401*r - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 6:05 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*w - 58*w = -4*p + 32736, w = 3*p - 24552. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -3 - -11) + (358 - 360)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 3*q - 2*q. Let o(x) = x - 2*x + 1 + 7. Let b be o(q). Solve -2*r + 4*r + b = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*l + i, 2*l + 3 = -5*i - 6. Suppose -22*c + 322 = -l*c. Suppose -22*j - 29 = -c*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.06 and -462.7?\nAnswer: -27.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-3))\/((-5)\/(150\/1)). Let p = l + -64. What is the common denominator of p\/6 + 812\/42 + 1 and -62\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.96247 and -0.2.\nAnswer: 0.192494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 - 22*w - 75. Let y be b(-17). Let a(g) = -1 - 15 - y + 14 + 2*g. Calculate a(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + 4*o + 10. Calculate the remainder when d(5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 16\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 1 - (22 + -50 - -27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*l - 7 + 43 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2945, -2944, -2943, -2942?\nAnswer: -2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8272, -16495, -24706, -32905, -41092, -49267, -57430?\nAnswer: -65581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66 + 46. Let o be (q\/(-6))\/((-8)\/(-12)). Solve -o = -2*l - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*g = 28*g + 3*c + 40, 4*c + 25 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 256 divided by -64\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 5*s**2 - 96*s - 579. Let p(j) = -2*j**2 + 96*j + 578. Let m(k) = 2*a(k) + 3*p(k). Suppose m(w) = 0. Calculate w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4655*p + 28443 = -2682*p + 7508*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*l**3 - 3*l**3 - 3*l**3 + (-4*l**3 + 6*l**3 + 2*l**3)*(-2 - 3 + 1) to the form b + o*l + s*l**3 + x*l**2 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 115\/(-920) + -3 + (3 - (-1554)\/16)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 9:47 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**3\/11 - 128*c**2\/11 + 3684*c\/11 + 16848\/11 = 0?\nAnswer: -4, 54, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12437632*f**4 + 415728*f**2 - f wrt f.\nAnswer: -298503168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 865061, 865064, 865069, 865076, 865085, 865096?\nAnswer: 865109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000030344461908 to seven decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 7134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-148504)\/4885)\/((-8)\/(-10)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/7, 8869.7, -281?\nAnswer: 8869.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -14*h**3 + 450*h**2 - 61*h + 6. Determine s(32).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n. Let o(d) be the second derivative of 13*d**4\/24 - d**3\/6 - 67*d**2 - 147*d. Let g(y) be the first derivative of o(y). What is g(c(p))?\nAnswer: -26*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*n + 32, -2*s + 22 + 20 = 4*n. Let y = -11 + n. Put y, -3, 1 in descending order.\nAnswer: 1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4245980 = 2*h + 38737091, 0 = 2*h + 8. Let i = -24083063 - v. What is i rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 8*m**3 - 8*m**2 - 8*m + 16. Let n(o) = 15*o**3 - 13*o**2 - 13*o + 27. Let p(f) = -5*l(f) + 3*n(f). Suppose 5*w = w - 4. What is p(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**7\/15 + m**4\/4 + 8*m**2. Find the second derivative of c(h) wrt h.\nAnswer: 168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 * -1.089512.\nAnswer: -0.01089512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2183487741?\nAnswer: 3, 61, 3977209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 157, 166, 163, 142, 97, 22, -89?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - 14*y**2 + 16*y + 12. Let r be k(-15). Is -771*(30\/(-9) - r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1394 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-1\/2))**(9\/5)\/(i*i\/(i**(1\/2)\/i))**(6\/11))**(4\/17) assuming i is positive.\nAnswer: i**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 4*h - 3. Let n be d(5). Suppose -n*g + 3*v + 52 = 0, -141 = -3*g - 2*g + 2*v. Suppose 3*m + 1 = 28. Solve g = -5*a + m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 3*c**3 + 2*c**2 - 1. Let q(k) = k**3 - k**2. Determine i(f) + 2*q(f).\nAnswer: 5*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -85 - 105. Calculate the common denominator of 97\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 minus -56889808721047?\nAnswer: 56889808721046.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 530997.\nAnswer: 3, 263, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94786859 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 426802.9053 rounded to the nearest one thousand?\nAnswer: 427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/6 - 42035*c**3\/6 + 84067*c**2\/6 - 14011*c\/2.\nAnswer: c*(c - 42033)*(c - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-128)\/(-7) + 4\/(-14). Suppose -7*p = -4*p - r. Let c(l) = -l**3 + l - 3. Let h(a) = -a**3 + a - 4. Determine p*c(v) - 5*h(v).\nAnswer: -v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -i**3\/3 - 5*i - 1. Let f(h) = -2. Let n(o) = 5*f(o) - 2*s(o). Let v(l) be the first derivative of -l**2 + 3. Give n(v(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at least -590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, h: 4, o: 2, j: 1, b: 1}. Give prob of sequence hohn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 75 = -i, 15 = z + 3*i - 5*i. Let f(v) = 36*v**2 + 15*v - 62. Is f(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 34\/10 - (-2)\/(30\/9). Is 160 - ((-2)\/v)\/((-4)\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from nprnnrnpprwrpnpwprp?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-9) + 1)\/(455\/546*36\/(-4635)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -4*i**3 + 4*i**2 - 5*i + 3. Let u be g(-4). Let a = u + -239. Calculate the highest common factor of a and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0198588981 to four decimal places.\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l\/(l*l*(l*l**13)\/l))*l)\/(l*l**9))\/((l*(l\/(l*l**(-6)\/l))\/l)\/l*l)**(-10) assuming l is positive.\nAnswer: l**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2\/7, 1\/3, 159, 4, -0.4 in descending order.\nAnswer: 159, 5, 4, 1\/3, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (3*sqrt(3600) + sqrt(576)*3 + sqrt(36))\/(4*(sqrt(1200) - (sqrt(1200) - sqrt(1200)*2)) - (sqrt(1200) + 3*(sqrt(1200)*2 + sqrt(1200)))))**2.\nAnswer: 43*sqrt(3)\/10 + 5947\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1636\/108 - -9*(-30)\/18\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -6\/1619?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 33533083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-286365)\/270*(0 + 2\/3). Let o = -707 - c. What is the biggest value in 5, -6, 2\/7, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/5 + (-1336)\/(-10). Let s = j + 27. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124032856.5 seconds in weeks?\nAnswer: 205.08078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 111030130 (base 4) to base 11\nAnswer: 5a250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 10. Let q = h - -8. Suppose 5*f - 4*s = -s + 830, 0 = 2*f + 2*s - 332. Calculate the smallest common multiple of f and q.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7, 9, 59, 161, 333, 593?\n\"Answer: 3*y**3 - y**2 - 2*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*f**2*q**3 + 2467*f**2*v**2 - 3*f**2*v + 8*q**3*v**2 - 1468*q**3*v + 2*q**3 wrt v.\nAnswer: 4934*f**2 + 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 17631000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m + 6. Calculate g(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/t**6)*t*t**(1\/8))**(-5\/6))**(11\/6) assuming t is positive.\nAnswer: t**(-1045\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (11 + -9) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20009047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -262, -233, -158, -37, 130, 343?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 5:09 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1276 and -88.\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 134*k - 147*k - 52. Let o(h) = 6*h - 2. Give o(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pppppppttppppppppp.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 23 = -5*z - 35, z = 2. Let d be (4\/(-20))\/(2 + 31\/(-15)). Suppose -d*l + 2*i + 0*i = -86, 4*i = 2*l - r. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -73\/42 - 13\/14. What is the second biggest value in 1\/10, 0.3, b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*v + 46846 = 120046. What are the prime factors of v?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 7*l**3 + 54*l**2 - 402*l - 2882. What is m(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 2*i**2 - 4*i + 1. Let s be d(3). Let u be (48\/s)\/(-1 + (-17)\/(-20)). Calculate the greatest common factor of 80 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16*29024\/67584 + (-3)\/(-66) - 7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 5) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 344727641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 493 and 31248839?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 432 = -2*z. Let k = z + -31. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 36\/(-48)*(-3 + 5\/3). Let a(p) = 631*p**2 - 624*p**2 - m + 3. Let x(d) = -8*d**2 - 3. Give -6*a(r) - 4*x(r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*w - w = 3, -4*p - w - 11 = 0. Let g = -4.34 + 4.741. Let z = 0.601 - g. Which is the nearest to z?  (a) p  (b) -5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/16*2*(12 + 0). Suppose -s + 7 = g. Solve 2*z = 0, 7*z - 3*z = -4*h + g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s - 15. Let q(y) = -y - 17. Let c be q(-6). Calculate the smallest common multiple of g(c) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*h**3*z**2 - 53*h**3 - 8*h*z**3 + 24*h*z**2 wrt z?\nAnswer: -4*h**3*z - 24*h*z**2 + 48*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -5*o - 5*z, -2*o + 4*z + 72 = 48. Solve -o = -0*b + 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -131\/6. Put 2\/7, -4, u in descending order.\nAnswer: 2\/7, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.6  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377)*2 + sqrt(1377) + 0 + sqrt(1377))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2260798*l**6 + 1635*l**2 + 29*l - 1.\nAnswer: -271295760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3216172 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2235827, -2235825, -2235823, -2235821, -2235819?\nAnswer: -2235817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oto when three letters picked without replacement from gcongtnggncnof.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.965 to one decimal place.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -16 - 88. Let r = a - -56. Suppose 0 = r*j - c - 27, 3*j - 3*c = j + 11. Let l(z) = -z**2 + 6*z + 9. Determine l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000075355 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 12) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1140 - 27240?\nAnswer: -26100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4926741419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 - 6*c + 6. List the prime factors of d(9).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47.6*8.06.\nAnswer: 383.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 24*h**2 - 9*h**2 - 2 - 1 in the form a*h + c*h**2 + j and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004093 to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50 + -44 + (2 - (0 - 1)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 1 - 3)*(-3*g**2 - g**2 + 2*g**2) + g**2 - 2*g**2 + 3*g**2 + 0 + g**2 + 0 in the form t*g + w*g**2 + q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 196 + -135. Let d = a + -58. Suppose 4*g = -g - 3*h + 317, 2*g - d*h = 110. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418797877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 18536625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3788 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1889 times 0.4\nAnswer: -755.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -7.6803 and -17.\nAnswer: -24.6803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6833, -13636, -20443, -27254, -34069?\nAnswer: -40888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 32\/5 of a week?\nAnswer: 64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23051*a**4 + a + 6356 wrt a.\nAnswer: 276612*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5899 - 34670 = -3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 19\/((60\/(-208))\/(-15)). Suppose i = 4*g + 5*b, 3*g = 2*b + 2*b + 710. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q = 23*q - 272. Suppose q*t - 1608 = 26*t. What are the prime factors of t?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13370?\nAnswer: 2, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -g**5\/30 + 7*g**4\/6 - 28*g**2. Factor s(k).\nAnswer: -2*k*(k - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17824 - 17796. Solve 5*j + 5 = 10*j + 3*b, 2*j - 4*b = g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12\/5  (b) -0.87  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6680 = 10*w - 25*w - 5*w. Calculate the lowest common multiple of w and 44.\nAnswer: 7348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 792 times 8\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 3*x**2 - 3*x - 1. Let i be c(-3). Are 8 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 3. Suppose -4*n + 1 = -8*n + c, 5*n + 5 = 5*c. Suppose -5*s - 25 = -n. Put -4, q, s in decreasing order.\nAnswer: q, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 43 in -3, 0.5, -245?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 6:48 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s*s**(-18)\/s*s*s**21 assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is af + 5b6?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -841.50716185482?\nAnswer: 836.50716185482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = -2*c + 3*b + 86, 5*c = -2*b + 95. Suppose -2*i = -5*q + 11, -4*q + 23 = 3. Let m = c - i. Solve -3*d + 5*d = -m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/132  (b) -1.2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -21d1 (base 15) to base 16\nAnswer: -1c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i + 106 + 686 = 0. What is the remainder when 609 is divided by i?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 = -56*p - 263 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 2060630?\nAnswer: -2060632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - ((30 - 35) + 9 + -118 + 4).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6)\/(r\/((r**(-2)*r)\/r)))**(17\/3) assuming r is positive.\nAnswer: r**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 32 + 9*v - 2*v - 4*v - 1. Let z be m(-12). Let x be (-2 + 1)*3\/(1 - -2). Sort x, z, 4 in ascending order.\nAnswer: z, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 5985*w**2 - 133*w - 133. Let s(b) = -272*b**2 + 6*b + 6. What is -6*l(n) - 133*s(n)?\nAnswer: 266*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38042487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q + 21. Let d be n(-7). What is the greatest common factor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b**2 - 755*b - 1318. What is p(-187)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 - -37. Let m = t + -3. Suppose z - m = 4. Put z, 3, 6 in descending order.\nAnswer: 6, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 275 in -6, 1\/427, -0.6?\nAnswer: 1\/427","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-98)\/(-10) + ((-219)\/21 - (-21)\/49)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 22  (b) -4  (c) 3  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 420102 * 0.14\nAnswer: 58814.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3 - 660*z**2 + 8946*z + 9604.\nAnswer: -2*(z - 14)*(z + 1)*(z + 343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 10:40 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5302 + -599. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (4424\/36)\/(-14) - 12\/(-3) and 48\/253.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/(-18))\/(1096\/(-1644))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 249414.\nAnswer: 2, 3, 11, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5 - -6)\/((-3)\/(-12)). Let 32*g + y*g**2 + 7 - 16*g + 10 - 1 = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1221 (base 4) in base 2?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 8*y**2 + 148*y + 79. Calculate m(-17).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s**(1\/4)\/s*s)*s)\/(s**(6\/5)*s))\/(s**(-5)\/s**9))\/(((s\/(s\/((s*s*s*s*s**(2\/11))\/s)))\/s**(-3))\/((s*s\/(s**(2\/9)*s))\/s**(-5))) assuming s is positive.\nAnswer: s**(26029\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + i - 105 = -0*g, -10 = 2*i. Let v = 7 + g. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*5\/40*24\/20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 152\/1671, -0.3 in decreasing order.\nAnswer: 152\/1671, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28462 divided by 1498.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 14 = 3*p - 0*p, p = 2. 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: Sort 0, 14, 1, 20, 6 in increasing order.\nAnswer: 0, 1, 6, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-63536)\/1628 - -39)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of -3*r**3 + 1\/6*r**4 + 14*r + 4*r**2 + 0. Is z(13) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*k*s - 2*k*t*v + 2*k*t + 2*k*v + 4*k + 4*s*t*v - 894*s*v + 383*t + 26*v wrt s.\nAnswer: -15*k + 4*t*v - 894*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 100704997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*m + 35217 + 3141 = 0. Suppose u = -4*n + 2258, m + 690 = 5*n + 2*u. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44551 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -12*j**3 + 10*j + 18. Determine h(-2).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + w - 65 = 2*w, 5*w - 5 = 2*t. Let p be t\/5 - 32\/2. Let k = 21 + p. Solve -2*d - k*d = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + (1 - 2))*5. Is 47 a factor of (141\/(-2))\/(q\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n - 3 = -4*n. Let s = -1 + n. Let t(c) = 9*c**2 + 4*c + 3. Is 11 a factor of t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -0.3, 2\/5, -34, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 AM and 7:55 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) -0.1  (c) -4\/5  (d) 1  (e) 187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.93 + 0.07. Let k = d + -2. Let r = k - 2. Which is the nearest to r?  (a) -0.5  (b) 5  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -8  (b) -1  (c) 20  (d) -0.947  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 12 = -5*u + 10, 0 = 5*j - 2*u + 24. Let w(x) = x**2 + x - 5. Let r be (2 + -2)*(2 - 1). Let o be w(r). What is the nearest to -2 in 3, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**3 - 18*v**2 + 39*v**2 - 9*v**2 - 12*v**2.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35545?\nAnswer: 5, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -52512 - -81293. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10744 - 10744.009466. Round u to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13911\/13 - -1071. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312 = 159*j - 156*j. What is the highest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -2\/7, 6\/11, -169\/5, -27, 2\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d. Let p(x) = 19*x - 71 + 31 + 39. Give -3*i(n) + p(n).\nAnswer: 16*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 2, -7, 1 in ascending order.\nAnswer: -7, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 505512965 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 2. Let k = -2373\/9524 + -2\/2381. Sort 6\/7, -0.4, k, h in decreasing order.\nAnswer: h, 6\/7, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -7, -90, 0.2, -1\/3, -1\/9, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001111111 - -101001?\nAnswer: -1001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -9*p + 7. Let l(x) = 3*x - 20. Let r be l(5). Let n(z) = 5*z - 4. Calculate r*n(i) - 3*c(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 11 + 5*g**2 - 154*g - 152*g - 2*g**2 + 296*g - g**2. Let k be b(1). Solve 3 = 3*v - k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -99430 at most as big as -99345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Let n be (-1568)\/4784 - 2\/(-13). Let t = -1\/138 - n. What is the third biggest value in t, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 10*h + 4. Let n be j(10). Find the second derivative of -3*f**n + f + f + 4*f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 28*v + 55. Give k(5).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4946606 - -9175606. What is c rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 609 + -601. Solve -3*c + r = -7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23569 and 53064697.\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2\/3589, 3\/8, -1\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -988*p**2 - 2094*p**2 - 20*p**2 + 2*p as u*p**2 + f + j*p and give u.\nAnswer: -3102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeeekekekeee. Give prob of sequence ek.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 121022?\nAnswer: -121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*g - 126*g = -87*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3405735853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -68a0 + 0?\nAnswer: -68a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 64 = 54 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 5*s**2 + s - 3. Suppose 0*d - d = 0. Suppose v + 3 = -d*v. What is the tens digit of t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*d - 522742 = 35*d - 7*d. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 2*z**2 - 2*z + 2. Let c(u) = u**2 + 8*u + 10. Let h be (-3)\/(-1 - 2) + 11. Suppose 5*m + h = -23. Let x be c(m). What is t(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39 - 3. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 420*k + 97. Is g(5) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5304 and 594984?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1591260 and 24?\nAnswer: 3182520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 6*d**2 + 2. Let b be x(-6). Let q(m) = -7 + 4 + 7 - 3*m - b*m. Calculate the remainder when q(-3) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 92\/273 and 33\/3731.\nAnswer: 11193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5742 + -166562\/29. Let k = j + 1296\/319. Find the common denominator of k and 71\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 3 = 2*b - 1, -2*b - 4*t + 24 = 0. Let v(p) = p + 2. Calculate the remainder when v(4) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32\/65 - -9\/13. Sort m, 1, -4, 3 in increasing order.\nAnswer: -4, m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.55030634 rounded to three decimal places?\nAnswer: -36.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2d3 - -a5ba?\nAnswer: a8ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, e: 11}. Give prob of sequence ehh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 626033 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 478503, 478525, 478547?\nAnswer: 478569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -72.2 + 72. Suppose -5*g = -g - 28. Which is the fourth smallest value?  (a) -1  (b) g  (c) -2  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 137 + -992\/7. Let u = d + 59\/14. Which is the nearest to 2\/5?  (a) u  (b) 0.2  (c) -1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 180 and 27.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*y - 42*y - 280 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*x, 5*k = k + 3*x - 14. Let s be 6 + 6*3\/(-6). Sort -1, k, s.\nAnswer: k, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 12 = -5*y. Let i be (-94)\/6 - y\/6. Calculate the remainder when 23 is divided by ((-18)\/i)\/(1\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 21564153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -5*j + 51. Let o be d(10). Suppose 7 = -4*w - 5*n, 4*w + 3*n + 2 = o. Suppose 0 = -3*x - 3*s + 213 - 51, w*s = 4*x - 246. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, x: 1, e: 1, b: 1}. What is prob of picking 2 h and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 76434 * 0.063\nAnswer: 4815.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 428866255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*w + 1118 - 974 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -297*n**4 + n**3 + n**2 + 300*n**4 + 3 - 1 to k*n**4 + h + r*n**2 + w*n**3 + j*n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2. Let i = 83 - 77. Let g(l) = -4*l**2. Determine i*g(m) - 17*z(m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 69533*g**2*s + 91*g*s + 5653*s + 3999 wrt g?\nAnswer: 139066*g*s + 91*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -179964515 divided by -2.\nAnswer: 179964515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -1334777.\nAnswer: -2669554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**2*s*t**2 + 8*c**2*s - 8*c**2*y**2 - 3*c*t**2*y + 6*c*y + s*y**5 + 35*t**2*y**2 + y wrt y?\nAnswer: -16*c**2 + 20*s*y**3 + 70*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36752 + 450154 = 38*v. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8 - 2)*3\/(-9). Let s be ((-8)\/14)\/(c\/7). Let 96*g**5 + g**4 - 3*g**4 - 62*g**4 + 39*g**3 - 21*g + 71*g**s - 105*g**3 + 2 = 0. Calculate g.\nAnswer: -1, 1\/4, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 - 7*a + 13. Let h(v) = 135 + 11*v + 13*v - 18*v. Let y be h(-21). What is x(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6733 in -2\/5, -1\/2, 3\/4, 1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 7 - 3*k + 7 - 25 + 6.\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1568022970*g - 28*g**3 - 1568022970*g.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1\/19)\/m)\/((m**(-1\/38)*m)\/m*m) assuming m is positive.\nAnswer: m**(-39\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 85?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -762*a = 357*a - 35918 + 7943 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 217361819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of -3 + 7 - -1*4 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -5*h, 60 = 3*s + 2*h - 7*h. Find the common denominator of -45\/64 and 8\/280*s + 1342\/(-28).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (59 - 61) + -74 - -79.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2014 = -l + 5298. Let p be l\/14 + (-10)\/35. Suppose d + 5*d = p. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 9:51 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10941 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 12:59 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 93419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 346 = 2*f + 4*a - 2*a, -4*f + 3*a = -692. Let n = f + -287. Let i = -71 - n. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-4)\/(-20) - 26279\/(-55) and 14?\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 13*l**3 - 11*l**2 - l - 83*l**3 + 12*l**2. Let p be m(1). Let v = p - -119. What is the highest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 274.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4*g + 4*s + 1798, 3*g - 4*s - 5386 = 0. List the prime factors of g.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9773041 by -1.\nAnswer: 9773041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35072 and 84529?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y - 719932 = 11*y - 0*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 681709.\nAnswer: 7, 97387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -188, -100, -11 in descending order.\nAnswer: 3, -11, -100, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -96 - -103. Suppose 3*m + 3*w + 0*w = 21, 4*m = 3*w. Solve -3*v - q - 11 = -s*v, -3*q = -m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -66 + 311. Suppose -3*c + 55 + x = 0. Suppose -c = -y + 398. What is y rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 1, -17 in descending order.\nAnswer: 1, -17, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 159 + -109. Let v be ((-4)\/10)\/((-9)\/90). Suppose 85 = v*t + t. What is the remainder when p is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mgjlpcm. What is prob of sequence mclj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 490973872.\nAnswer: 2, 17, 61, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c - 3*c + 2*c)*(-65 + 12 - 33).\nAnswer: 516*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 3*r - 3. Let z be j(-3). Calculate the remainder when 20 is divided by 3\/(-9) - 22\/z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 273343 and 939473.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 149*i**2 - 116*i - 6. Calculate the lowest common multiple of 1 and b(4).\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b - 4, b - 1 = -2*d - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 34*q - 157. What is k(29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -889302, -1778513, -2667722, -3556929, -4446134, -5335337, -6224538?\nAnswer: -7113737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + 7*b - 15. Suppose -406 = 34*j + 40*j - 628. Give c(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.564 + -3.6. Is 1 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -100 - -170. Let i = -148 + 199. Calculate the remainder when c is divided by -4*(i\/12*-2 + 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**5\/450 - 53*s**4\/18 - 14045*s**3\/9 + 48*s**2 - 6. Find w such that v(w) = 0.\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 0  (b) 0.2  (c) -68  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -3957\/66289 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 59*z**2 - 18*z - 1?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2315760 and 15690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5888981 millilitres?\nAnswer: 0.0005888981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1278211 is divided by 7064.\nAnswer: 6691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 557 + 1905 = -2*r, m - 4*r = 1222. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -297.5 or -0.1?\nAnswer: -297.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 329*m**2 - 7032*m + 1826. Calculate b(-306).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {s: 2, m: 1, x: 1, i: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - (9 + -4 - 18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kieesyyiiyssiie. Give prob of sequence syy.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k + 27. Let m be l(25). Solve 9 = m*f + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/74472272 and -97\/48432?\nAnswer: 223416816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - 3 + 3)*(4 - 5 - 1 + (-2 + 1 + 3)*(1 - 3 + 3) + 12 + 1 - 2)*(-4*c + 5*c - 8*c) - 4*c**2 + 2*c**2 + c**2 + (-c + 2*c + c)*(-3*c + 3*c + 2*c).\nAnswer: 157*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(2) - (2 + sqrt(2) + -3) - sqrt(2))**2 + (sqrt(2) - (sqrt(792)\/sqrt(11) + sqrt(2)))).\nAnswer: -40*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/8 + (1 - 9) + 12)*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 3*l + 0*l + 1 = 0, 4*j + 3*l = 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -7504044 divided by -2501348\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1662.2 - -1661.9. Which is the fifth biggest value?  (a) 34  (b) l  (c) 2\/17  (d) 0.1  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24155\/4 + (95\/(-20) - -5)?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/4 - 837\/(-108). Put 9, d, -3 in descending order.\nAnswer: 9, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 6:59 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2, -32, -82, -152?\n\"Answer: -10*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*f - 492 - 1284 = 0. Suppose -5*t + l + 26 = -0, 3*t + 3*l - 30 = 0. Suppose -t*y + y = -80. What is the greatest common factor of f and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 3:33 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - s = 8. Suppose n - s = 81. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2358 and 34301826?\nAnswer: 34301826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(5\/(-4) - -1). Is 5 a factor of g + 1\/1 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(-5*q + q + 2*q)*((-1 + 5 - 2)*(-1 + 0 + 0) - 208 + 103 + 59).\nAnswer: -96*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5081148 and 0.\nAnswer: 5081148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13466481.\nAnswer: 3, 7, 641261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5033246333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -18 - 2. Suppose 0 = 2*a - 5 - m. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12538669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 10 - 10. Let p be 0\/(-6) + h\/((-10)\/2082). Is (1 + -1)*1 - p\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 1, -94, 1\/2, 2\/7, -3\/4 in ascending order.\nAnswer: -94, -15, -3\/4, 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27*0.37.\nAnswer: -9.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.13 in 97, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-28 - -15 - -14) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2913686 and 29488.\nAnswer: 442880272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73082, 73187, 73346, 73553, 73802, 74087, 74402, 74741?\nAnswer: 75098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 825 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -29324 times -0.102\nAnswer: 2991.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 195741, 782857, 1761373, 3131283, 4892581?\nAnswer: 7045261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**3 + 165*c**2 + 350*c - 1?\nAnswer: -6*c + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2311865361.\nAnswer: 3, 13, 193, 34127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of -v**2 + 4*v + 5. What is the smallest common multiple of 5 and k(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from refxxr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -186*k**3*y + 187*k**2*y wrt k.\nAnswer: -1116*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + 5*f + 14. Let b be l(7). Suppose -18 = -2*o - b. Let r = o - 10. Let a(k) = 8*k - 1. Calculate a(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/36*(-2)\/(-3))\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -3*b**2 - 111. Let s(z) = 125*z**2. Determine f(s(g)).\nAnswer: -46875*g**4 - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 26337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = n, -3*p - 3*n + 5 = -n. Let m = -15 + 19. Suppose 5*r - 1 + 6 = 5*t, -m*r - 22 = 2*t. Put p, -4, t in descending order.\nAnswer: p, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(66)\/(sqrt(66)\/sqrt(176)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 1\/4  (b) 6  (c) 1.4  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h - 2*h - 2*h. Let l be ((-15)\/(-10))\/(6\/16). Let i(n) = 3*n**2 + n**2 - 7*n**2 + l*n**2. Determine a(i(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -235*z**2 - 4?\nAnswer: -470*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.134716 months to centuries.\nAnswer: 0.00177893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2032230 + -2021031?\nAnswer: -10113321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 7*i**2 - 2*i + 1. Suppose -3 = -2*z - z - 5*n, -3*n + 3 = 3*z. Give y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/2*24\/4. Suppose 4*t = -4*i + 4, 0 = -v*i + i - 3*t - 3. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 - 18*u - 22. Let g = 45 - 61. Let y be d(g). What is the greatest common divisor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -dbe0 (base 16) in base 2?\nAnswer: -1101101111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 0*z**5 + 3\/2*z**6 + 0*z**4 - 2 + 0*z**2 + 0*z + 7\/3*z**3. What is the third derivative of b(d) wrt d?\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*r - 107*r = 3*y - 3587, y = -3*r + 1219. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h + 5. Suppose -2*s = 0, 8*s + 200 = 5*z + 3*s. Let v be z\/(-6)*(-12)\/10. Suppose x = 3*a - 5*a + v, 0 = 2*x - 3*a - 2. Give l(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -52851\/112 - -1605\/16. Let k = u - -371. Let c = -2.5 - -2. Put k, -4, c in increasing order.\nAnswer: -4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4662399 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4788 divided by 1197\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11.13917 + 1.\nAnswer: -10.13917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 17 + -8 + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 12:24 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 4*s + 17. Let l be p(6). Let 0 - 69*g - 36 + l*g**3 - 46*g - 24 - 25*g**2 - 25*g**2 = 0. Calculate g.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**2. Let a(r) = 31*r - 6. Let h(c) = -159 + 66 - 248 + 1767*c. Let x(z) = -341*a(z) + 6*h(z). Give x(w(v)).\nAnswer: 62*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 33, 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.35 - -0.55. Which is the nearest to -19?  (a) m  (b) 1  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j - 2*j - 5*j)*(-27 + 2*j - 8*j + 29)*(71*j - 2 + 0 - 73*j).\nAnswer: -24*j**3 - 16*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -28, -25, -30, -49, -88, -153, -250?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/((f\/((f*f**(-2\/3)\/f)\/f))\/f))\/f)**(-7)\/(f**(2\/3)\/f)**(-22))**(-31) assuming f is positive.\nAnswer: f**(-403\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q - 3441*q**3 - 11418*q**3 - 2*q + 2*q.\nAnswer: -14859*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + 7*g + 3. Let u be j(7). Suppose 6 + 3 = -u*f. What are the prime factors of 17 + f + 3\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1565 - -4694\/3. Which is the third smallest value?  (a) z  (b) 0.2  (c) 10  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -33 - 25. Let t = -53 - a. Solve 3*n + 2*g = -5, -t*n - g = -3*g + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**3 - 2*s**2 + 2. Suppose 4*b + 6 = -0*b + y, -3 = -b - 2*y. Let m(k) = k**2. Give b*z(a) - 4*m(a).\nAnswer: 2*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**5\/20 - 11*q**3\/6 - 9*q**2. Let b(k) = -k**2 + 5. Let t be (-17)\/(-2) + (-3)\/(-6). What is t*b(i) + 4*o(i)?\nAnswer: 3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (8 - 9) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 + 11 = -4*f + 4*h, -2*h + 2 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 1.12. Let n = 324.089 - 321.089. Which is the fourth smallest value?  (a) l  (b) -0.1  (c) -5  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -63*m**2 + m - 118*m**2 - 19*m**2 + 10*m**2 + m to s*m + p*m**2 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 54080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 6*t**2 - 2*t - 9. Let a = -28 - -27. Let q be (-69)\/12 - a\/(-4). Let y be p(q). Solve 0 = -g - y - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -167 >= -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2530 + 7*y + 5*y**2 - 2530 to z + s*y + w*y**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + (sqrt(2) - sqrt(10)\/(sqrt(20)\/sqrt(4))) - (-3 + sqrt(8)\/sqrt(4) + 0))**2*-5.\nAnswer: -450 + 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 6*c**2 - 5*c - 1. Let i(z) = -z**2 + z. Determine 5*i(m) + q(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 bigger than -16966\/587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3259 - -6056. What are the prime factors of i?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -209*((-4)\/(-2))\/(-2). Let k = -561 + n. Let w = -211 - k. What is the remainder when w is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12302003232 (base 4) to base 12\nAnswer: 718a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 14\/(-63) + (-47)\/(-9). Suppose 0*r - 25 = -5*r. Solve -s = b*l - 14, 0 = -r*s + 3*l - 7 - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 856096 and 64.\nAnswer: 1712192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 21\/35 + 0\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -33439252, -133757017, -300953292, -535028077?\n\"Answer: -33439255*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 3*t**3 + 32 - 5 + 2 - 29.\nAnswer: -3*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -122 - -125. Solve 2*d + 8 = -z - r, 5*z + 11 = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -352, -1416, -3190, -5674?\n\"Answer: -355*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*l - 221 = -59*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of 23*q**5\/60 - 54*q**2. Let h(c) = 12*c**2. What is k(h(f))?\nAnswer: 3312*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 21. Let f be c(-17). Let w(t) = 6*t**2 + 6*t + 1. Let o(v) = v**2 + v. Let a be (-4)\/2*(-6)\/36*-3. Let y(r) = a*w(r) + 5*o(r). Give y(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 10108390 to the nearest one hundred thousand.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 309214 and 10632?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(2\/5))**27\/(s**(-4)*s**4))\/((s**(-1)\/s)**(-4)\/(s**(-6)*(s*s**1\/s)\/s*s)) assuming s is positive.\nAnswer: s**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 72\/7 - 66\/7*x - 2\/7*x**3 + 20\/7*x**2.\nAnswer: -2*(x - 4)*(x - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.29 + -27.51. Let z = w + 0.1. Let r = z + 31. Which is the biggest value?  (a) r  (b) 0.15  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 1:18 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - 13.7. Let l = -3.7 - u. Let g = 2.55 + -2.85. Which is the third smallest value?  (a) 2\/11  (b) g  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15305\/2, 5, 4460 in decreasing order.\nAnswer: 15305\/2, 4460, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**2 - 9*m - 3. What are the prime factors of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3 = -2*z + 3, 0 = -4*z + 5*f + 15. Suppose 2*k + 0*k + z*q - 37 = 0, 5*q = 25. Let n(v) = -v - 6. Determine n(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 6  (c) -1  (d) -5.01  (e) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (7 - (-2 + 2 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/(-30))\/(10\/(-6))*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/10))**(-36))**(3\/14) assuming s is positive.\nAnswer: s**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 9 + -43 - (-2 + (-2 - 6)) - 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - -10. Let v(j) = j**2 + 53*j + 285. Let g be v(-47). Solve 0 = -t*k - g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 1394*k + 5*u = 1412*k - 103, -3*k - u = -19 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -4, 12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -30791, -1, -2, 1 in decreasing order.\nAnswer: 1, 0, -1, -2, -30791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -268 + 276 + (-1 - (3 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 1 - 7 - 2508*z.\nAnswer: -2508*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 882600 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 2:31 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*j + 3*h - 0*h, -3*h + 63 = 4*j. Solve -j = -2*y - y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4084 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 66.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 2. Suppose v*b - 2 = 1. Calculate the smallest common multiple of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-1)\/3) + 32\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/162 and 86\/1319895?\nAnswer: 2639790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 n when three letters picked without replacement from {n: 5, o: 2, r: 1, f: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -128 - 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.056737459306 - -0.881\nAnswer: 0.824262540694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2417, 9677, 21761, 38657, 60353, 86837, 118097?\n\"Answer: -2*t**3 + 2424*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 8*d + 4. Let p be c(8). Suppose 0*h = 5*w - 2*h, -p*h = 0. Solve 3*v + w*v - 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - x - 1. Calculate l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 12:10 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/25494 and 23\/102558.\nAnswer: 435768942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23135 divided by -100.\nAnswer: 4627\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-25)\/((-11375)\/(-70)) + 81902\/13. Round z to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -1, -0.5, -4, -1423\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -30\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 253685.7ml to litres.\nAnswer: 253.6857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**3 + 45*x**2 + 27*x + 48. Let w(c) = c**3 + 23*c**2 + 14*c + 25. Let f(a) = 2*d(a) - 5*w(a). Is 7 a factor of f(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -225534 (base 8) to base 10\nAnswer: -76636","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Does -1\/4894611 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 364 = -4*r, 2*r - 81 = -t - r. Suppose t = -4*x - 116. Let l = -23 - x. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 216*x + 5*v - 40 = 211*x, 0 = -3*x - v + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17410 is divided by 169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -x - 42, 0*n + 5*n - 3*x = 70. Let f(p) = p**3 - 12*p**2 - 19*p + 18. List the prime factors of f(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 68904 and 77517.\nAnswer: 620136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*d + 4 + 53 = -4*n + 372, d + 3*n + 6 = 32 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v - 11. Let f be q(0). Let y = f + 14. Suppose i = 2*i - 18. Solve y*b + 3 = i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of 0*g**2 + 18*g + 0 - 11\/6*g**4 - 4\/3*g**3. Find the second derivative of w(t) wrt t.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17200977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/25)\/(4\/(-10)). What is the third biggest value in 0, b, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of p**3\/3 - 646. Let s(x) be the second derivative of -25*x**4\/12 - 3*x**2\/2 + x. Determine s(h(j)).\nAnswer: -25*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 1150831 = 19*y - 4567542. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -10*p**2 - 6005. Let m(s) = -52*s. Calculate h(m(r)).\nAnswer: -27040*r**2 - 6005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-12)*o**28)\/(o**(-6\/25)\/(o*o**(-7))) assuming o is positive.\nAnswer: o**(256\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4162389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 5:11 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -1)\/((2 - 0)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from ggspg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 5*b = 6, -4*b + 2 + 10 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 12:04 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -218557 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 2 - (-2 + 0) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 15*f**2 - 18*f + 42. Let n be d(16). Let z be ((-4)\/(-5))\/(5\/25). Suppose -18 + n = -z*u. Solve -u = -0*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -5*a**3 + 3*a**2 + 4*a - 3. Let y(l) = 9*l**3 - 5*l**2 - 7*l + 5. Suppose 4*h + 14 = 2. Suppose -j + 5*j + 20 = 0. Determine h*y(t) + j*d(t).\nAnswer: -2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 7*o + 4. Let s(x) = -x - 3. Let z be s(-8). Let q be (-4*3)\/(z + -7). What are the prime factors of r(q)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14846.\nAnswer: 2, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 8:29 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of 1\/6*r**3 - 3\/2*r**2 + 3 + 6*r. Suppose 6*m - 3*m - 15 = 0. Give z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -574 times -12\nAnswer: 6888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50 + -49.5. What is the nearest to -0.3 in 1\/3, l, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 + -24. Let t(q) = q**3 - 7*q**2 + 2*q - 1. Let b be t(y). What is the hundreds digit of ((-245)\/b - 5)\/(6\/160)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 5*o = -20, -5*o - 17 = 4*j + 3. Let n be -2 + -1 - (j + -6). Solve -4*i - 21 = s, s - i - 14 = n*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s, 1 v, and 1 m when four letters picked without replacement from {h: 3, m: 2, s: 2, e: 4, v: 2, k: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - d**3 + 4)*(d**2 - d + d + (2 + 1 - 5)*(-2*d + 2*d + 2*d**2) - 4*d**2 + 11*d**2 - 13*d**2).\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -63  (b) -3  (c) -5  (d) -45  (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 AM and 3:20 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 14*t**2 + 156*t - 1005. Determine m(11).\nAnswer: 1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -374.4722149 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128830*s - 129072*s + 23*s**3 + 257902*s + 31*s**3.\nAnswer: 54*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35386\/10215 + -131\/2043. Factor b - 18\/5*x - 101\/5*x**2 + 6\/5*x**3.\nAnswer: (x - 17)*(2*x + 1)*(3*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4672401 is divided by 6297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 + -54. Let n be 27 + a + 74\/(-14). Which is greater: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from rwvsasw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12 - -4314122?\nAnswer: 4314134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 2*b. Suppose g - 7 + 4 = 0. Suppose g*c - 2*c - 45 = -5*v, -4*v = -c - 45. What is the remainder when v is divided by f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(250\/(-80)))\/(4\/20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -212330 (base 6) in base 15?\nAnswer: -5256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 0*p + 20 = -2*p, -u + 4*p = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 3*s. Let x be b(6). Let c be 800\/36 - 4\/x. Suppose 5*z + 2 - c = 0. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -863960 (base 12) to base 6.\nAnswer: -113250200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 17001 - 16996 + w**2 - 37*w - 2*w as x*w**2 + a*w + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g - 2*g - 12*g + 14 - 12*g. Let p(q) = -5*q + 3. Let o(l) = -14*p(l) + 3*y(l). Let i(t) = 5*t**2. What is i(o(b))?\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ogrrirtogrrgorrgrgg. What is prob of sequence rrir?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -3, 0, -6 in decreasing order.\nAnswer: 0, -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -445693\nAnswer: -891386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 6*r + 3*r + 5, 0 = -4*g - 3*r + 17. Let s(z) = -7*z - 7*z + 13*z - g. Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -6. Suppose 15*l - 19*l = p - 11, -3*l + 4*p + 13 = 0. Solve l*o = -0*o - 4*j + 6, o + 14 = g*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of x**3\/18 - 5*x**2\/6 + 4*x - 434. Solve p(s) = 0 for s.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**2. Let j(b) = -23*b**2 + 10*b**2 + 12*b**2. Give w(j(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 251842?\nAnswer: 2, 125921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 74 + -69. Find u, given that -6 + 1 - t*u**2 - 5 + 15*u + 0 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 8 = 112. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i*i\/(((i*i**(3\/11)\/i)\/i)\/i)))**44*(i*i\/i**(-12\/5)*i)\/((i\/(i\/((i*i*i**(-19))\/i)))\/i) assuming i is positive.\nAnswer: i**(-698\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-68)\/6)\/(107\/(16050\/(-100)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0*k = -o + 7, 2*o + 3*k = 42. Let j be 2\/(-10) - 246\/(-30). Let x = j + -5. What is the greatest common factor of o and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of v**6\/60 - v**5\/5 + v**4\/3 + v**3\/6 + 88*v**2. Calculate the remainder when -30*3\/(12\/(-26)) is divided by f(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -88926, -177593, -266260, -354927, -443594?\n\"Answer: -88667*o - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 4*u + 78. Calculate y(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.034+3882378572028\nAnswer: 3882378572027.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 536501 + 1110?\nAnswer: 540611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.07 and 3541367.\nAnswer: 3541366.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-8)\/12)\/(1\/(-24)). Suppose -54 = -7*d + g. Suppose -3*t + 5 = -2*z, t - d = -4*t + 5*z. Calculate the greatest common divisor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39257 = 370*k - 37777 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1571 or 4714\/3?\nAnswer: 4714\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*m = -121*m - 2*c + 6, -3*m = c - 3. Let u(g) be the second derivative of m - 18*g - 5\/6*g**3 + g**2. Let d(b) = 9*b - 3. Determine 4*d(y) + 7*u(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5865\/(-60) + 23 + (-2139)\/92.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11332074.\nAnswer: 2, 3, 13, 145283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 89*g - 9. Let w be d(-4). Let a be -1*6203\/34*2. Let m = a - w. Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*c - 50*c + 1 + 21*c + (-2*c + 0*c + 0*c)*(2 + 4 + 0) - c - c + 3*c to z + y*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-10) + 1)*2025\/945?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 55*y + 63. Let t be p(1). Is 118 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -2311*a**6\/30 - 3357*a**2\/2 + 9798*a. What is the derivative of r(j) wrt j?\nAnswer: -9244*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 3. Suppose 2*h - 8 = 0, -2*z + 299 - 299 = -2*h. Put -0.3, 7, z, m in increasing order.\nAnswer: -0.3, m, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6157.876 micrograms in grams?\nAnswer: 0.006157876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**4\/21 + 12*m**3\/7 - 194*m**2\/21 + 120*m\/7 - 200\/21 = 0. Calculate m.\nAnswer: 1, 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(-117))\/((-32494)\/(-146223))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*b + 23, 0*b - 5*b = -5*o + 20. Let w be b\/(1\/(-2 + 5)). Find the third derivative of 2*u**4 - w*u**4 + 0*u**4 + u**2 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 4. Let k be a(3). Suppose k*h = -0*h + 15. Suppose 589 = h*q + 160. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5 - -4)*(0 + -2). Suppose 5*n - 3*k = 112, -4*n - 16 = -5*n - k. Suppose 52 = b*x + n. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 2*i**2 + 2*i + 3. Let c = 3 + 8. Let t = c + -8. Let s be u(t). Solve 3*v - 2*v + 3 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22*1*(-72)\/((-3024)\/21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124 - -61. Let s = 192 - t. Solve 4*l = -2*i + 11 + s, 3*l - 2*i - 10 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of -t**8\/1680 - t**7\/840 - t**4\/3 - t. Let x(f) be the third derivative of o(f). What is the third derivative of x(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/4100704 and -103\/144.\nAnswer: 36906336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t**5 + 1045*t**4 + 20880*t**3 + 154710*t**2 + 430110*t + 295245 = 0 for t.\nAnswer: -81, -9, -9\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 52\/(-9) + (-4)\/18. Let f be (6\/(-36))\/(n\/8). What is the nearest to -0.4 in f, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*z**2 + 169*z + 660.\nAnswer: -22*z + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -144*z - 3*z + 24*z + 43*z + 14*z + 24*z.\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116 - 38*r - 78*r + 209*r - 21*r.\nAnswer: 72*r - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/(-96)*(1 - (-175)\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2\/11, -2, 5, 451 in descending order.\nAnswer: 451, 5, 4, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45074.56 + -0.161496.\nAnswer: 45074.398504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 3*y + 4 = 0. Let b(h) = h**3 - 1. Let t be b(y). What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 40133 - 118?\nAnswer: 40015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222 = 107*y - 113*y. Let p = 63 + -113. Let f = y - p. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 12\/32 - (-1 + (-3702)\/(-2064)) and 7\/9.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - 0. Let f = s + 0. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-2) + (-65)\/26. Let i(r) = -r - 3. Let y be i(h). Let z(m) = -2*m + 5. Let t be z(y). Are t and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeeeewwerrerew. Give prob of picking 1 w and 2 e.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8688*n + 8754*n = 645 + 674 + 4159 for n.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 851809?\nAnswer: 7, 121687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3564*a**5*q + a**4 + 2*a**3*q - 28*a**2*q - 2*a**2 - 27*a*q + 20*q wrt a.\nAnswer: -213840*a**2*q + 24*a + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/2192 and 97\/28.\nAnswer: 15344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - v. Let r(l) = -4*l**2 - 5*l - 1. Suppose 11*p + 28 = 15*p. Suppose 2*g + p = 5. What is g*r(k) + 3*w(k)?\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 3*g - 0*b - 44, -b + 28 = 2*g. Suppose -g*d + 671 - 251 = 0. Suppose 175 = 5*a + d. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y - 3. Let t be m(3). What is the third smallest value in 0.3, -0.4, t, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/405 and 53\/153.\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5383801 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 8 = -5*j + 18, 3*s - 17 = -5*j. What is the remainder when 29 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -32*b**3 - 3*b**2 - 32*b + 98. Calculate f(3).\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4)\/(-16)*14204 + 2)*(-1 - -2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/5 - 1329*t**2\/5 - 5775*t - 158147\/5.\nAnswer: -(t + 11)**2*(t + 1307)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 37595026 divided by -2777?\nAnswer: -13538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 6:04 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -5*m + 37, 69*m - 71*m - 5*k + 30 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 158 or -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b**2 - 44*b - 5. Give a(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2*sqrt(200)\/(-3*sqrt(4)).\nAnswer: -10*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -746, -1492, -2238, -2984?\nAnswer: -3730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 244 and 5798843?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 6 = -3 + 6 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from bbbbbaaaababbbqq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053)*3)**2 - (sqrt(26) - -1*sqrt(26))\/sqrt(2) - ((sqrt(468)*1 + sqrt(468))*-5)**2*4)*6 + 1.\nAnswer: -1066337 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s = 10 + 40. Solve 2*f - 22 = y + 6*f, -5 = -s*y + 3*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 - 4 + 2)*(3 + 2 - 3) + 30 - 12 - 20)*(-11 + 11 - 2*w) as l*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 3*w - 47 = 0, 0*b - 5*w = -3*b + 38. Suppose 2*o = -o + 3. Sort 0, b, o.\nAnswer: 0, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 divided by 2250623.\nAnswer: -18\/2250623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of 17*f**2\/2 - 7*f - 17. Calculate the remainder when j(8) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 9*x + 172. Let i be z(0). Let l = i - 40. Let o = 136 - l. Solve -v - 2*q - 10 = -q, o*q + 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 5*o - 13 = -13, r = -5*o + 4 - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 83 = 88. Let z = 51 + -32. Let t = v - z. What is the remainder when t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*s**2 - 5 - 6*s + 17*s**2 - 1.\nAnswer: 32*s**2 - 6*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/163 in -731, -1\/2, -3, -161?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/1715 and 2\/1225.\nAnswer: 8575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 - 18. Suppose -f - 5*w = 4*f - 25, -h = 4*w. Suppose -f*m = -11*m + 13. Solve m + 2 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4747 times -0.3\nAnswer: 1424.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + b**2 + 49*b + 40. Let n be d(-6). Let a = -8 - -5. Let l(h) = -3*h**2 - 4*h + 4. Let v(w) = 4*w**2 + 5*w - 5. What is a*l(y) + n*v(y)?\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - g**2)*(8*g - 26*g - 13*g) + (-g - 4*g + 2*g)*(-g**2 + g**2 - 3*g**2).\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6960\/4060*(-126)\/(-64). Factor 0 + 3\/2*d**3 - i*d**2 + 3\/4*d.\nAnswer: 3*d*(d - 2)*(4*d - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-4656)\/5 - (-8)\/(-10))*-2.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 89.65, 4 in ascending order.\nAnswer: -3, 4, 89.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*g - 1640 = 1168. Let m = 526 - 388. Calculate the remainder when m is divided by g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 410, 822, 1234, 1646, 2058, 2470?\n\"Answer: 412*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1043 - 2174. Let z = -405 - w. Is 60 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l*l*l**(-28)*l*l**(-29)\/l assuming l is positive.\nAnswer: l**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - 4*c**2 + 6*c. Let a be w(4). Is 13 a factor of 1236\/a + 2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1403 = -332*x + 75 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -115.9042767 to the nearest integer.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 312\/5 + 421\/5*n + 106\/5*n**2 - 3\/5*n**3.\nAnswer: -(n - 39)*(n + 1)*(3*n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 183*p**3 + p**2 - 3*p - 3. Calculate l(-1).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 5*p**2 + 6*p + 6. Let r(d) = d**2 + 13*d + 25. Let a be r(-12). Suppose 9 - a = h. Give w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*y + 0 - 5\/4*y**4 - 7\/4*y**2 - 11\/4*y**3.\nAnswer: -y*(y + 1)**2*(5*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -4*d - 12. Let z be u(-4). Suppose 2*w - 109 = -x, 3*w + z = -8. What is the first derivative of -117*l + x*l + 14*l**4 - 2 wrt l?\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 + -3 + (-1 + 2)\/1. Suppose -2*l = f*z - 22, 2*z - 11 = -2*l + l. What is the remainder when 21 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 536601797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.11 - 0.51. Let f = u - 0.1. Which is the nearest to 1?  (a) f  (b) 2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*w - 10*w - 10 + 2*w + 2*w.\nAnswer: w - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -191, -296, -405, -518, -635, -756?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 44\/95 + 72\/665. Sort 0.5, 63.9, k in increasing order.\nAnswer: 0.5, k, 63.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 + -211?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -26, -2, 4 in ascending order.\nAnswer: -26, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/(y*(y\/(y\/(y*y**(-1\/6))))\/y))))**(21\/4))**(-32\/5) assuming y is positive.\nAnswer: y**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*n - 175*n + 85*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pvwwkpgwwegwegg. What is prob of sequence vgwg?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10901 is divided by 80?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 10:49 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-2) - (-1788)\/(-1). Suppose -25350 = -23*i + 13*i. Let u = i + f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000020530134 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300) - sqrt(52))*1)\/((sqrt(72)\/sqrt(3))\/sqrt(6)) + -2.\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-168))\/((-672)\/896).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 764111098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/3581 or 0?\nAnswer: -12\/3581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2417, -2563, -2709?\nAnswer: -2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 777.002285 + -777. What is x rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13242 - 0?\nAnswer: -13242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147314449?\nAnswer: 31, 701, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(80) + -1)**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 59, 0.7, -14\/13 in decreasing order.\nAnswer: 59, 0.7, -14\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 5*x = 95, -4*b + 3*x + 79 = -2*x. Suppose -b*p = -12*p + 224. Let f = 290 + p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 347*q + 183*q - 8516570 = 0. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4256 a factor of 323255968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*c**2 + 19*c**2 - 15*c**2 as x + h*c**2 + t*c and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 2:08 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -884, 3, 2, 4\/3, -9, -164\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -6. Suppose -g - 3 = -u, u + u - 10 = h. Let p = -3.03 + 6.03. What is the second biggest value in 0, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 - 9. Let f = 27 - q. Solve f*n - 3*p - p = 45, 0 = 2*n + 3*p + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 177605412 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**4 + l**3 - 9*l. Let p = 4 + -6. Let k(v) = -v. Let x be 260\/14 - 12\/21. Let i(q) = p*o(q) + x*k(q). Let i(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10582 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 2 = -2*r, -8*r + 12*r - 8 = 4*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4815 and -12.554.\nAnswer: -60447.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = 3*z, -4*f - 3*z + 8 = 0. Suppose 119 = s - f*s. Let k = -32 - s. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 7*z**2 - 9*z + 33. What are the prime factors of s(3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 121*a**2 + 10*a - 5. Let g(w) = -182*w**2 - 16*w + 8. What is -5*g(f) - 8*x(f)?\nAnswer: -58*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*u - f = -118*u + 19, 0 = -5*u - f + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 5*b**2 + 4*b. Let s be v(4). Let w(z) = -z**3 + 1000000. Let m be w(s). What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.27079 millimeters to centimeters.\nAnswer: 6.127079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*f + 231*f**2 + f**3 + 1 + 137*f**2 + f + 1 + 648*f**2 as o + j*f**2 + z*f + d*f**3 and give j.\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 12474*t + 611228. Determine j(-49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a + 11. Let v be c(8). Suppose -2*f - 4*g + 1 = f, 5*g + 1 = -v*f. Solve -3*m + 4*o = -2 + f, -m - 5*o = 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o = -32*o + 2*d + 4640, -5813 = -5*o - 4*d. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i + 172 - 83 - 89.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -29616 + -4?\nAnswer: -2961a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**2\/6 + 835*d\/6 + 26726 = 0. Calculate d.\nAnswer: -161, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 3*i**2 + 2937*i - 38688 = 0.\nAnswer: -992, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 48\/32*(-28)\/(-6). Let a(b) = 6*b + 17. What is the units digit of a(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s, 1 h, and 1 w when four letters picked without replacement from {w: 1, h: 1, u: 1, r: 1, k: 1, s: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 290 and 4011048?\nAnswer: 20055240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*d - 959 - 3730. What are the prime factors of d?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbbshan. Give prob of sequence sn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x = 142654 + 28690. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 2*o. Let y be d(0). Is 5\/12 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -5 - (-5 + -2)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*n = k - 25, 2*n + 25 = 5*k. Let i = 5 + 1. Find the third derivative of 39*r**5 + 6*r**2 + 3*r**6 - 39*r**k - 12*r**i wrt r.\nAnswer: -1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -10*y + 15. Let x be -1043*((-5)\/(-10) + y\/2). Is -1 + x\/(2 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2*r**3 + 2)*(-2*r - 4 + 4) + (-62 - 62 + 70)*(-r**4 + r**3 - r**3))*(2*r + 4*r - 4*r).\nAnswer: 100*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j**2 + 2 - 2)*(183 - 414*j - 227*j - 193 - 482*j - 8*j) as m*j**3 + i + a*j**2 + u*j and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -z**7\/98 - z**6\/70 + 9*z**5\/140 + z**4\/28 - z**3\/7 + z. Let i(t) = 0. What is t?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/19*t**2 + 0*t.\nAnswer: -2*t**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 0  (c) -2\/3  (d) 2\/21  (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4371 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -86 + 117. Suppose -4*g + 1 + o = 0. Let v(l) = -2*l + 12. Give v(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of -3*y**5\/20 + y. Suppose 0 = -5*x - 25 + 10. What is the tens digit of a(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 14*r**2 - 15*r + 2. Let c be d(-15). Is c\/1 - 10*(-117)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 178 + -63. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, 27, 256, 797, 1776, 3319, 5552, 8601?\nAnswer: 12592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a - 521 + 521.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 225\/30 - ((-3)\/2)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1649 + 1648.979. What is the second smallest value in z, 5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5314, 2, 36, 164?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(4*(-2)\/(-20)). Let l(o) be the first derivative of -o**2\/2 + 1. Let x(u) = 0 + 0 + 3*u + 1. Determine n*l(a) - x(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 5.5. Let w = 2 - z. Let b = -2.5 - w. What is the second smallest value in b, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2176, 4354, 6546, 8752, 10972, 13206, 15454?\nAnswer: 17716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 375.6854nm in kilometers?\nAnswer: 0.0000000003756854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0012787566 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-2) + 3 + 3. Calculate the common denominator of -91\/8 and ((-2)\/(-6) - -1)*76\/j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37 + -36 + 18 - (3 + 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 5*h + 7 = 0, 6*d - 7*d - 3*h = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 1 + (-15)\/(-1) - 0. Let p = 35 - c. What is the greatest common divisor of p and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 240\/100 - (-4)\/(-10). Sort c, -39, -1 in increasing order.\nAnswer: -39, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 - 2*x**2 - 2*x**2)*(4 - 6 - 2).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -193.719835*-0.4\nAnswer: 77.487934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 3*m - 5 + 55 = 0, -5*s = m + 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8242748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/26 and 7 - ((-103712)\/(-3016))\/7 - 2.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118 = -3*d - 21*r + 178, 3*r = -8*d + 54 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-24 + 22)*(-6)\/4. Suppose 3*b = 3*x - x + 95, -85 = -2*b - d*x. Suppose 30*k + 20 = b*k. Solve 4*z - 16 - k = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111\/4*k**3 + 57\/2*k**2 + 0*k - 3\/4*k**4 + 0 = 0 for k.\nAnswer: -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1, 43, 107, 187, 277, 371, 463?\n\"Answer: -u**3 + 17*u**2 - 2*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*w = -89, -3*u - 3*w + 205 = -77. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 34159*c**3 - 7*c**2 + 292181?\nAnswer: 102477*c**2 - 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 190, -49, 0, -1 in descending order.\nAnswer: 190, 0, -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -91, 0, -10, -0.2, 4, -56 in descending order.\nAnswer: 4, 0, -0.2, -10, -56, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kntygnnnggggntytgy. What is prob of sequence nt?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 19 - 40 + 24 + 3*c. Let a(z) = 2*z + 1. What is -5*a(l) + 3*b(l)?\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssrr when four letters picked without replacement from srsssrsrsrsrsssssr?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -32211.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 940374*q**5 - q**2 - 13504*q.\nAnswer: 56422440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11949 is divided by 1989.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 40983019 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 76*i - 7 + 30*i to k + t*i and give t.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 745*f - 11583 - 14505 = 18323 - 7906 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 y, and 1 i when three letters picked without replacement from {u: 2, c: 1, o: 11, i: 1, y: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 12:19 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n*(n*n**(-5\/2)\/n)\/n*n))**(-17)*n**(-6\/23)*n**(-37) assuming n is positive.\nAnswer: n**(-2887\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t + 2. Let q be a(2). Suppose 5*p = 2*n + 23, q*n - 3*p + 16 = n. Let d = 0 - -7. What is the greatest common divisor of d and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3*n - 4084 = 0, -n = -231*q + 227*q + 16336. What are the prime factors of q?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 4 - 1 = 0. Let w be r - (-2)\/(4\/6). Solve -q + w + 0 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2689796, -2689792, -2689788, -2689784, -2689780, -2689776?\nAnswer: -2689772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, 75, -4.\nAnswer: -4, 75, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*p**3 - 87*p - 9 + 55*p - 9 + 18 to r*p + w*p**3 + j*p**2 + u and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w - 232 - 566. Let u = 1408 + w. List the prime factors of u.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*(-13)\/72 - (-4)\/(-18). Put -5\/2, 4, -0.3, 1\/13, d in decreasing order.\nAnswer: 4, d, 1\/13, -0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**4 - 664*h**3 - 4716*h**2 - 10152*h - 6102 = 0. Calculate h.\nAnswer: -3, -1, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gngggggngnn. Give prob of sequence gng.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -11 + 12 + 17 + 16*l**2 - l**3. Let v be a(16). Calculate the greatest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 1669, 6045, 14531, 28489, 49281?\nAnswer: 78269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 89*a**2 - 16*a - 7. Let i(c) = 64*c**2 - 15*c - 6. Determine 5*i(z) - 4*q(z).\nAnswer: -36*z**2 - 11*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**12*h**(-8))\/(h**(2\/11))**45)**(-8) assuming h is positive.\nAnswer: h**(368\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**2 - 42*q - 5. Is 13 a factor of n(-104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15111 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13360989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -0 - 6. Let m = -1323 - -1325. Let n(u) = -u**2 - 5*u - 4. Let t be n(-3). Solve c = t*v - m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -36.2 - -35.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.6 - 0.3. Let h = -18515.30003 - -18514. Let i = h + c. What is i rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 858106 is divided by 1491.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gog when three letters picked without replacement from oogoogg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/5)\/((-80)\/(8800\/66))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -7, -34, -79, -142, -223, -322?\n\"Answer: -9*w**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*y + y + 5*y)*(-12 - 16 + 32) as q + s*y and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7225, 28953, 65173, 115891, 181113, 260845, 355093, 463863?\n\"Answer: h**3 + 7240*h**2 + h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12000122110 (base 3) in base 11?\nAnswer: 68327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -3 - ((0 - 2) + -64 + 67).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-2 + sqrt(19)*-1 - sqrt(152)\/(sqrt(8) - -2*sqrt(8)))*-2 - (-1*(sqrt(209) - 3*sqrt(209)))\/((sqrt(22) + sqrt(198))\/sqrt(2)))**2*-1.\nAnswer: -3247\/36 + 13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -23*g**2. Let h(b) = -2*b**2 + b - 29. Calculate h(a(f)).\nAnswer: -1058*f**4 - 23*f**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 3*z**2 - 5*z - 2. Let k be m(-5). Suppose k + 72 = 5*t. What is the remainder when 83 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1833.0747 - 1833. Let r = 3.7553 + j. Let h = 4 - r. Round h to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 1 + 2 = 0, 2*k = 5*s + 48 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i. Let h(z) be the first derivative of 27*z**3 - 51. What is d(h(x))?\nAnswer: 162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3 + 2621*f**2 - 1940246*f.\nAnswer: f*(f - 602)*(f + 3223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -2, -8 in decreasing order.\nAnswer: 3, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**39*y**(-36)*y*y**(1\/14)*y*y**(3\/11))**6 assuming y is positive.\nAnswer: y**(2469\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 3*f - 8. Let v be (-5)\/(-20) - (-7)\/4. Suppose 2*z - 36 = -v*z. Calculate the remainder when 54 is divided by a(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x - 10. Let f be k(-6). Let q be 6\/(-9) + f\/13. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**2 - j**2 - j**2. Let c(g) be the second derivative of 35*g**4\/12 - 38*g. Give c(d(r)).\nAnswer: 35*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 126859 by 17.\nAnswer: 126859\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/sqrt(4) + -3 - (sqrt(112) + -2).\nAnswer: -3*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3477*s**3\/4 - 10905*s**2\/2 + 36981*s\/4 - 2133.\nAnswer: 3*(s - 3)**2*(1159*s - 316)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*3184851\nAnswer: 955455.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, o: 2, u: 9, y: 1}. What is prob of sequence uuui?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((l*l**(-3))\/l)\/l)\/l)\/l)**(-35)\/(l\/(l\/(l*l*l\/(l\/l**(8\/11))))*l**1) assuming l is positive.\nAnswer: l**(2269\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*k - 36*k + 63. Let v be (-2 - -9) + 28\/(k\/3). Solve 3*t = v*u - 12, 0 = t - 3*t + 5*u - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7997 - 24202\/3. Let j = 631\/9 + x. Sort j, -30, -1\/3 in decreasing order.\nAnswer: j, -1\/3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w + 4*w + w + w - 15*w - 6*w + 2*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nuhuulqhllllnnnlu. Give prob of picking 1 l and 2 n.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -12*q - 247. Let f(m) = -5*m - 124. Determine 7*f(i) - 3*x(i).\nAnswer: i - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {r: 4, t: 2, c: 2, a: 1, v: 2, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 10*y**2 - 18*y + 20. Let p be r(8). What are the prime factors of 9\/(-6) + 290\/p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15973 is divided by 940?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4 = -3. Let p be (-3)\/((99\/(-6))\/x). Sort p, 3, 5\/12 in descending order.\nAnswer: 3, 5\/12, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1755, 3491, 5227, 6963?\nAnswer: 8699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19285 and 401660.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - -1)*18\/(-12). Suppose 0 = -5*x + 3*m + 966, -x + 783 = y*x + m. Suppose 5*r + 4*v + v - 945 = 0, x = r + 4*v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 211 - -678. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x**(-1\/2)*x*x)\/x*(x\/(x\/x**1))\/x*x)**(-4\/3)\/((x**5*(x\/(x\/x**(-7)))\/x)\/(x**(2\/3)*x)**(1\/27)) assuming x is positive.\nAnswer: x**(-22\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 28, 2 in descending order.\nAnswer: 28, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 5*q - 9. Let p be c(-7). Let n(m) = -10*m - 2. Let y be n(-5). Let w = -33 + y. What is the highest common factor of p and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 8*o**3 - 7*o**2 + 8*o + 17. Let r(p) = 4*p**3 - 4*p**2 + 5*p + 8. Calculate 4*l(c) - 7*r(c).\nAnswer: 4*c**3 - 3*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -379136 take away -5?\nAnswer: -379131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -16065153?\nAnswer: 16065153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/923197 and -17\/285868?\nAnswer: 269573524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1296.4555 + 0.2445. Let j = h + -1354. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -9298, -9133, -8858, -8473, -7978, -7373?\n\"Answer: 55*z**2 - 9353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 147\/139 or 1?\nAnswer: 147\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2583*f - 3 = -2586*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/8)\/(10\/190*-19). What is the nearest to v in -5, 11, -147?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**4\/3 + 230200*p**3\/3 + 76730*p**2 - 920800*p\/3 - 920792\/3 = 0.\nAnswer: -115099, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5b6859b (base 12) to base 2\nAnswer: -1000011111011001101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-7))\/(1162\/196 + -6). Let u be 1*-106 - (-6)\/3. What are the prime factors of 127\/x*(-13)\/(u\/16)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 2082*c - 4164. What is b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 3388?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (3 + -3 + 1) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y**3 + y**2 + 3*y + 1. Let q be a(-1). Let p(g) = 11*g - 10. Calculate the remainder when p(q) is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -x**3\/3 + 3*x**2 - 6*x - 1. Let z be o(4). Suppose -2 = -z*d + 2. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3762 and 15853200.\nAnswer: 903632400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(5\/2)*d)\/d**(5\/6))\/(d**(-2\/7))**(-20\/9) assuming d is positive.\nAnswer: d**(128\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194576 is divided by 298?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -803728*q**2 - 8877*q - 6 wrt q?\nAnswer: -1607456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/(-57))\/((-12)\/(-9))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**4\/9 + 176*p**3\/9 - 1910*p**2\/9 + 4900*p\/9 = 0?\nAnswer: -98, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14800 and 12863568?\nAnswer: 321589200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 297*i**4 + i**3 - 454*i**2 wrt i?\nAnswer: 7128*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9553885 rounded to three decimal places?\nAnswer: -1.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/2688 and -47\/72.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (248\/28)\/(4\/7)*2. Let a = o - -2. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3*p**2 - 369*p - 1466. What is w(-4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -24398994.93 rounded to the nearest 10000?\nAnswer: -24400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 185 - 165 = m + 3*p, 4*m + 3*p = 17. Which is greater: m or -2\/777?\nAnswer: -2\/777","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - d. Let u(i) = 2*i**2 - 8*i - 7. Let o(y) = 15*f(y) - 3*u(y). What is the tens digit of o(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -63 - (0 + (5 + -15 - (-7 + 8)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 929961750 to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 276358319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 333 a factor of 131528340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -238660 = -5*f + 42*i - 47*i, 2*i - 238669 = -5*f. What are the prime factors of f?\nAnswer: 5, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*t**3 - 3*t**3 - 15*t**3)*(2*t - 3 + 3) + 54*t**4 - 238*t + 238*t - t**4 + 2*t**4 + 0*t**4.\nAnswer: 37*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 670901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 67\/4 of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 595*z**2 + 1226*z + 4. Give s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a + 427 + 53 = 0. Let p = a + 52. Solve -2*v + p = 4*r, 3*v = 2*v - 5*r + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {x: 6, w: 1, l: 3, q: 3, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 40 - 4 = -4*j, n - 3*j + 17 = 0. Let a be ((-3)\/(-3))\/(3\/(-84)). Let c = n - a. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at most 34803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1658445, -1658725, -1659005, -1659285, -1659565, -1659845?\nAnswer: -1660125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 2*r - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32342 or -32339?\nAnswer: -32342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -0.2921  (b) 0.2  (c) -4\/13  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**2\/9 - 124712*u\/9 + 41572\/3 = 0. What is u?\nAnswer: -31179, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of -u**7\/35 - u**5\/12 - u**2. Find the third derivative of p(c) wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 1:23 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 37, 6.\nAnswer: 6, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7974 divided by -6.\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 55 + 70 = 5*n, 0 = -2*n + 2*j - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: (64638\/(-6669))\/((-3)\/13)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -6920747 - 1\nAnswer: -6920748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1920 and 32.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.65373142 rounded to two dps?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 2*l**2 + 3*l - 5. Let u(x) = -6*x + 34. Let a be u(5). What is w(a)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*h**4*p - 2*h**3*p - 36*h**2*p**3 - 255*h*p**3 wrt h.\nAnswer: -108*h**2*p - 12*h*p - 72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -4928.6 to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -34*v**3 - 4*v**2 + 2*v + 3. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from {s: 5, x: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-868)\/(-1085))\/(-3*(-102)\/(-45))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -w**6\/20 + 9*w**5\/40 - w**4\/4 - 2*w. Factor f(d).\nAnswer: -3*d**2*(d - 2)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-176)\/(-8)*(-6)\/24*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1000 - 122231222?\nAnswer: -122232222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 462 and 14817?\nAnswer: 207438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + 9*t + 11. Let a be p(-2). Sort 0.22, -0.2, a, -5\/9, -0.1 in descending order.\nAnswer: 0.22, -0.1, -0.2, -5\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-2))\/(y**(3\/5)*y) assuming y is positive.\nAnswer: y**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + (-3*sqrt(7200))\/((sqrt(160) + sqrt(10))*-2 + sqrt(10))).\nAnswer: -12*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 926, 3702, 8330, 14810, 23142, 33326?\n\"Answer: 926*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4170 = -4*u, -g - 5207 = -5*u - 5*g. Let o = -694 + u. Suppose -9*w = -o - 623. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from fhhvfcfvhfcvcc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3)*q*((q*q**(1\/2))\/q)\/q*q)\/(q*q**(2\/5)*q**(-3)*q) assuming q is positive.\nAnswer: q**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*b = 2*b - 56, 3*a = 4*b + 20. Suppose a = 4*u, 1446 = -0*j + 3*j - 5*u. What are the prime factors of j?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13 - -28234557?\nAnswer: 28234544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -160, -1684, -6092, -14920, -29704?\nAnswer: -51980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/(-4) + (-25)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-693)\/(-462)*(-22)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-68)\/(-6))\/((3\/(-12))\/(63\/(-168)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85440 = 12*b + 48*b. Which is smaller: b or -1425?\nAnswer: -1425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 989229 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x + 2*x - 30. Suppose -8*v = -3*v - x. Suppose 4*z - 23 = -v. Solve -z*o + 4 = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -12*p. Let v(h) = 316651*h. Determine v(k(o)).\nAnswer: -3799812*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -b - 2, 2*f - 5*b - 22 = -8*b. Let u(z) be the first derivative of -7\/2*z**f + 8 + z - 1\/3*z**3. What is u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 0.95. Let g = 0.45 - i. What is the closest to 0.1 in g, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 322 + 3343 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/525 and 3\/35875.\nAnswer: 107625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**5\/4 + 7*b**4\/4 + 15*b**3\/4 + 5*b**2\/4 - 4*b - 3 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = w + m, w + 3*w - 3*m = -202. Let h = w - -54. Suppose 4*l = h*l - 5. Solve -3*j + 1 = -l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 12 = 0, -3*o + 368 = o - 2*m. Let k be 3\/2*o\/(-27). Let r = 27 + k. What is the least common multiple of 14 and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**3 - 3*g**2 - g + 6. Let l be j(-3). Let h = 38 - l. Let k(i) = -4 + 4 + 27*i**2 - 29*i**h. Let u(f) = 11*f**2. What is u(k(t))?\nAnswer: 44*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 - 16. Let j = 16 - a. Suppose j*p - 12 = 13. Solve p*l = -3*w + 12, 0 = -5*l + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24\/17 - 3305\/2907. What is the common denominator of -109\/54 and s?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.36 + 3.3. Which is the second smallest value?  (a) -1\/2  (b) -0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.00027ml in litres?\nAnswer: 0.02500027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 284*t**4 + 6826*t**3 - 48324*t**2 + 74970*t + 2700 = 0. Calculate t.\nAnswer: -30, -5\/142, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -390 divided by 26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*x = 12344 - 12124 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 142 (base 13) to base 7.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 - 5*k + 2. Let j = -18 - 11. Let m = 25 + j. Calculate the remainder when 14 is divided by w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -158 + 165. Let g(q) = 1 + 66168*q + 174177*q + 302512*q. Let p be g(a). Round p to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s - 3. Let j(q) = q**3 + 7*q**2 + 9*q + 13. Let t be j(-6). What is u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 237803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-13\/4)\/j**(3\/2)*j\/(j*j*j\/(j*j**19*j*j*j)*j)*j**(2\/3) assuming j is positive.\nAnswer: j**(191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 5*j - 8 = 0. Suppose 0 = w + w + 2, 0 = 2*z + j*w + 4. Find the second derivative of f - 2*f + 0*f + z*f**4 + f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*j**2 + 18*j**2 - 34*j + 34*j as s*j**2 + d*j + o and give s.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -2699009 smaller than -2698719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 + 6. Suppose 2*b + 3*b + 12 = 3*k, 0 = 2*b + 4*k - 16. Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + 0 + -7 - -4 - (38 + -5 - -31)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*f**3 - 41*f**5 + 2*f**4 + 90*f**5 - 48*f**5 + (-2*f**3 + f**3 - f**3)*(-4 - 2*f**2 + 4).\nAnswer: 5*f**5 + 2*f**4 + 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3462649 * -0.16\nAnswer: -554023.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**2 + r**2 + 2*r**2 - 2*r**2. Let a(x) = 2*x**2. Determine c(a(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 7:18 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 369, 321, 311, 393, 621, 1049?\n\"Answer: 9*t**3 - 35*t**2 - 6*t + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 44*w**2 + 12*w + 120. What are the prime factors of i(42)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5*x + x = 450, 2*x + 610 = -4*i. Let s = i + 365. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -7  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*s**2 - 48*s**2 - 4 + 177*s**3 + 139*s**3 - 207*s**3 wrt s?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 38*v**2 - 9*v + 9. Does 26 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 120 + -44015243?\nAnswer: -44015123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25838?  (a) 2  (b) -0.5  (c) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 11*c - 12. Let t be u(10). Let x be (84\/(-70))\/(t\/(-5)). What are the prime factors of ((-18)\/7)\/(x\/224)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2*f = 5. Let z = f + -3. Suppose -z*s + 1 = -13. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7841.\nAnswer: 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*v + 188*v + 190*v - 160 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 6*j = m - 17, 4*m - 16 = -j. Suppose -218 = -q - 2*g, -4*q + 0*g = m*g - 860. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*g - 85, d = -d. Let i = -35.8 + 34. Let y = -1.9 - i. Which is greater: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 - (-196)\/21)*66. What is the greatest common divisor of 1210 and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**6\/c**(-3\/7))\/(c*(c*c**(-1\/3)*c)\/c*c*c**(2\/9)\/c*c) assuming c is positive.\nAnswer: c**(223\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 505.2 * 2017.\nAnswer: 1018988.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13792344 and 8664?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -m + 12. Let y be 0*(-2 - (-253)\/115). Put m, 4, -5, y in increasing order.\nAnswer: -5, y, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8235, 16792, 25673, 34878, 44407, 54260?\nAnswer: 64437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + -14. Let o be 4\/(-4)*(-3)\/(-9)*f. Solve 8 = o*q - 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22386.410044 - -22390.41. Let n = r + -4. What is n rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -90*f - 1 - 25*f + 27*f. Let g(p) = 16*p - 177. Let y be g(11). Is r(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 2*m**2 + 2*m - 2. Let f(h) be the first derivative of h**4\/2 - h**3 - h**2 + 3*h - 106. What is 2*f(a) + 3*w(a)?\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 8*s**2 + 13*s - 1. Let a be g(6). Suppose 7*i - 30 = a*i. Let l = i + -11. Calculate the remainder when 10 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 6 = -2*b, 5*b = 5*c + 8 - 53 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 666 and 13329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 1 - 267*b + 268*b + 5*b**2 - 1.\nAnswer: 5*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 - 101*w + 169. Calculate the least common multiple of 94 and p(49).\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 95*h**2 - 1983*h + 14. Determine o(-31).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5744 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 106\/34 - 3 - (-97)\/(-102)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -759.5015 rounded to the nearest 10?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 188900 divided by -94450.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 112 - 110. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1782 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 1294*s**2 + 1613*s - 90*s**2 - 1613*s + 765*s**2 in the form q + l*s**2 + r*s and give l.\nAnswer: 1969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5c1 (base 16) to base 5\nAnswer: 21343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 2\/9  (c) -1  (d) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003798865 to 6 dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (30 - 6\/(-3)) + 4. Let u = n - 31. Solve 0*r + u*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70144500 divided by -1389.\nAnswer: 50500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 5*f + 8. Let o be p(-2). What is the common denominator of 67\/12 and ((-37)\/o)\/(44\/(-11))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of -992*o**4 + o**3\/3 + 46*o + 362. What is the third derivative of k(i) wrt i?\nAnswer: -23808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13943573 = -296*s + 81*s + 26919972. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22 + 25 - 57 - 45*g - 22*g**3 + 7*g**3 + 66*g**2.\nAnswer: -3*(g - 3)*(g - 2)*(5*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4*b**3 + b**2 + 4*b + 3. Let g be a(-1). Is (-10762)\/8*(9 + -9 - g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of -59*d**3 + 16*d**2 - 44*d - 2. Let l be a(8). Round l to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of v**5\/30 + v**4\/6 + v**3\/2 - 5*v**2. Let b be d(3). Suppose 4*q = 3*h - 109, h + 0*q - 3*q - b = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 - -18. Let w be h - (-7 + 4 - (0 + 8)). Suppose -20*b = -21*b + w. Calculate the highest common divisor of b and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b - 2. Let w be l(4). Let z be w\/1 + -9 + 1. What is the units digit of (-75)\/(-9) - 4\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5698109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, l: 1, c: 6, x: 7}. What is prob of picking 3 z?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 251 and 32841844?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 3:26 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z**2 - 11*z - 86. What are the prime factors of r(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 435872805 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.077 * -4.7833\nAnswer: -0.3683141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 97\/171 + 1 + 240\/1080. Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21024*m**4 + 2*m**3 + 13*m**2 + 2*m - 1838239 wrt m.\nAnswer: 252288*m**2 + 12*m + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58630590 divided by -5.\nAnswer: -11726118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3134, -25259, -85314, -202265, -395078?\nAnswer: -682719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 112 - 1148505091?\nAnswer: -1148504979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*t**4 + 30839*t**3\/2 - 238078*t**2 - 652071*t\/2 - 72522 = 0.\nAnswer: -1, -9\/32, 17, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 11*z - 103. Determine y(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 9715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.3  (b) 5  (c) 1\/3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d. Let y(i) be the first derivative of i**6\/180 - 2*i**3\/3 - 1. Let u(m) be the third derivative of y(m). Determine u(o(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -46*h**3 + 5*h**2. Let f(v) = 93*v**3 - 10*v**2 - v. Let g(o) = -7*a(o) - 4*f(o). What is the third derivative of g(p) wrt p?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -5*l + 3, -4 - 1 = 2*w + l. Sort w, -10, -1 in descending order.\nAnswer: -1, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -37213?\nAnswer: 37209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v + 20*o - 16*o - 9, 5*v - 15 = -5*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 294428523989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6677 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -10*x**3\/13 - 4922*x**2\/13 - 15654*x\/13 - 2934\/13 = 0.\nAnswer: -489, -3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 6:14 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -61*c + 65*c - 4, -f - 2 = 4*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 547*k - 364. Let q(d) = 5*d**2. Determine u(q(y)).\nAnswer: 2735*y**2 - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + 27*k**2 + 23*k - 17. Let a be q(-16). Suppose -73*b = -62*b - a. What are the prime factors of b?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of d**5\/60 - d**3\/6 + 3*d**2 - 3. Let w(i) be the second derivative of m(i). Factor w(x).\nAnswer: (x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1072*z**3 + 4283*z**3 - 1069*z**3 - 1076*z**3 - 1075*z**3 - 2*z + 2*z**2 - 3*z**4 to the form t*z**2 + x*z**4 + d*z**3 + s + w*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**3 - 16*t**2 + 30*t + 499. What is b(-11)?\nAnswer: -5760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -72\/7009, -35, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (81\/(-18) - -1)*20\/28.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 184*c**2 - 1611*c + 1292. Calculate x(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -y + 4*y**2 - 21*y**2 + 3*y**2 + 20*y**2 - 265*y**3 in the form a + u*y**3 + j*y + s*y**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**4 - 416920*b**3 + 4585636*b**2.\nAnswer: 4*b**2*(b - 104219)*(b - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 27 = 9. Suppose 5*y + 3*c = -5, -y = 4*c - 3 + 4. Suppose 0 = 4*u - 4. Sort i, y, u.\nAnswer: i, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25019608 - 71?\nAnswer: -25019679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-7)\/14)\/(2\/(-12)). Let m(i) = -2*i**3 - 2. Let q(b) = -b. Determine j*q(p) + m(p).\nAnswer: -2*p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 86 = -4*c - 94, -3*c + 3*w - 9 = 0. Let j(s) = s**3 - s**2 - 1. Let n(d) = -8*d**3 + 6*d**2 + 6. Give c*n(l) - 6*j(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -23*p + 425. What is s(4)?\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**3 - 4*l**2 - l - 2. Suppose -44*d + 51*d + 49 = 0. Let i(k) = -3*k**3 + 7*k**2 + k + 4. Give d*w(n) - 4*i(n).\nAnswer: -2*n**3 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(147)*1.\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + (-20)\/(-12))*-3. Suppose -4*h + 3*h = -f. What is the tens digit of (-438)\/(-9) - h\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 845*y**2 - 4*y + 4. Let w be z(2). Let j = w + -2056. Is 9\/((-5)\/j*-6) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*c**2 + 13*c**3 + 5*c**2 - 9*c**2 to g*c**2 + f + a*c**3 + j*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -818974+-2980793\nAnswer: -3799767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 24610550, 49221108, 73831666, 98442224, 123052782?\n\"Answer: 24610558*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -215 + 261. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5\/3, 5, 1, 642?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 20*c**3 - 644*c**2 + 1303*c - 40. Calculate m(2).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2199 by 3.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3132010213 (base 4) to base 6\nAnswer: 31255051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + (0\/(-1))\/(-1). Sort 0, 2, m, 3.\nAnswer: m, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -500 - -501. What is the hundreds digit of ((-2)\/l)\/((-3)\/762)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -2*((sqrt(320)*-1*-4)**2 + 2 + sqrt(320) + sqrt(320)*1 + -5).\nAnswer: -10232 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44\/(-187)*((-6287050)\/13916 - (-18)\/14).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3\/5 - 412*x**2\/5 + 11984*x\/5 - 71552\/5.\nAnswer: 4*(x - 52)*(x - 43)*(x - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1083269633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 - 32 + 94)*(-2 + 2 - 2*j).\nAnswer: -174*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 76.7434 - 71.50893. Let h = -14030 + 14024.77. Let g = i + h. Round g to 4 dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (14 - 7 - -1) - (-3 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1786 is divided by 128.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 2\/13, 0.08, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*67\/(8241\/(-82))*801\/6.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -274, -551, -828, -1105?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*p + 211*p + 921330 = 445*p. Is p a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 278 = 22. Let c = 88 + o. Suppose 0 = -u + 3 + c. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 292, 418, 618, 886, 1216, 1602?\n\"Answer: -f**3 + 43*f**2 + 4*f + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 419293 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -61.5  (b) -0.4  (c) -1\/2  (d) 0.067\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h + 90 = -8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, a: 3, h: 4, s: 1, m: 1}. Give prob of picking 1 h and 1 m.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 12) + 31 + -3\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z + 61*z + 30*z)*(-4510*z - 53*z**2 + 4510*z).\nAnswer: -5035*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 392\/56 - 1*6. Which is the third smallest value?  (a) z  (b) -1\/8  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1187 - -2272. Suppose -1379 = -22*y + t. What is the highest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 135161 - 24328847\/180. Find the common denominator of o and (-4)\/72*63\/(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 - 150987*k + 150984.\nAnswer: 3*(k - 50328)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 759395.\nAnswer: 5, 7, 13, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19686 and 624699.\nAnswer: 241133814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 72\/11  (b) 0  (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 87 - 93. Let j = 15 - 7. Let p = w + j. Solve 0 = -p*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -73 + 81 - (-1 + 8 + (2 - (-2 - -133)))\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17387 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 637.2 to the nearest 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10854541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 4*o**3 + 2*o**2 - 9*o + 5. Suppose -31*j + 45*j + 28 = 0. Let p(v) = -2*v**3 - v**2 + 4*v - 2. What is j*w(h) - 5*p(h)?\nAnswer: 2*h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -13. Suppose -q*a = 2*a. Suppose a + 1 = -r. Let m(l) = 2*l**3 + 2*l - 2. Let z(x) = -x**2 - 1. Calculate r*m(p) + 2*z(p).\nAnswer: -2*p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 8*m**2 - m. Let x be 7 - (-3 + 2)*0. Let a(i) = -i**2 + 9*i - 13. Let b be a(x). Does 3 divide r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 185 - (-1430 - -1525)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -99 + -49 + (81 - -23).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24.6 - 38.4. Let k = 68 + t. Which is the closest to -1\/4?  (a) -1  (b) k  (c) -4  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -8*g + 13. Let m(n) = 7*n - 14. Calculate -6*m(r) - 5*z(r).\nAnswer: -2*r + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 847374112?\nAnswer: 2, 13, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -9*t + 205. Suppose 10*o - 7*o - t = 4*b, 2*b = -o. Solve 0 = -o*i + 2*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*l + 1368600 + 6*l - 35*l**3 - 1368533 in the form s*l**2 + w*l**3 + f*l + i and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -25802, -25801, -25800, -25799, -25798, -25797?\n\"Answer: k - 25803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 + 1 - -2)*0. Let u = 4 - 1. Suppose -6*t + u*t + 63 = 3*k, -k - 1 = q. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 1:33 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-672)\/(-32))\/(-42))\/(5\/60)*23\/3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 105598790 and 19199780.\nAnswer: 211197580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 229636673*u**3 + 10*u**2 - 15*u + 29744 wrt u.\nAnswer: 1377820038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 5687*m**3 + 46*m - 23. Let p(j) = 517*j**3 + 4*j - 2. Give -6*n(h) + 69*p(h).\nAnswer: 1551*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*w - 890 = 0, 8*w - 3*w - 25 = 0. Calculate the greatest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -1\/2  (b) -1  (c) -1\/5  (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 9 - (-4 - (-32 + 24)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/19 and -46\/138719?\nAnswer: 138719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.28 take away 889016353703?\nAnswer: -889016353706.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -35d5c - -2?\nAnswer: -35d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 918, 1834, 2750, 3666?\nAnswer: 4582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 172.75563 months?\nAnswer: 0.143963025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.9 + 0.1. Let b = 373 - 372.154. Let i = a + b. Round i to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3\/5, 4, -2\/3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 + -11. What is the remainder when 116 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19181*o**5*v + 2571*o**4 + 181369002*o**2*v wrt o?\nAnswer: -1150860*o**2*v + 61704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*g - 5*g = -52*g + 22*g. Let t(n) be the third derivative of g*n - 22*n**2 + 13\/3*n**3 + 0 + 1\/8*n**4. What is the derivative of t(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2783*b + 324*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/13, -0.18.\nAnswer: -0.18, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -125*k + 229*k - 56*k - 672 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.1 + -2.7. Sort -1\/7, c, -1 in increasing order.\nAnswer: -1, -1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -92935 and -92932 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 + 0*l**3 - 7*l**3 - 6 + 4*l**3 + l + 9*l**2. Let p be b(9). Solve 15 = p*c + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.2 + 0.3. Let p = 3 + d. What is the third smallest value in 2\/5, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -6\/1061?\nAnswer: -6\/1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(4*v - 5*v + 4*v)*(v**2 - v**2 - v**3) + 2*v**4 + 0*v**4 - 4*v**4.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*6\/(-45)*5*34\/4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 20, 31\/5, 3, 17, -2, -4?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d**2 - 2*d - 2. Let u be q(3). Round u to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -106 - 114 - 116 - 105 + 55*f + 439. Let b(n) = 2*n**2 - 5 + 5. Calculate b(q(a)).\nAnswer: 6050*a**2 - 440*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 0.03  (b) 2\/11  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/2)\/t)\/t)**(-43)*t*t\/(t**(-2\/3)\/t)*t\/(t\/(t*t**(-1\/7)))*(t*t*t**(4\/7)*t**(5\/3))\/(t*t*(t\/t**0)\/t*t*t*t*t)**(12\/11) assuming t is positive.\nAnswer: t**(30823\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 + 5*w**2 - 4*w - 7. Give z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-82 - -79) + (-1 - -3) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of 5*f**4\/4 - 3*f**2\/2 + 2*f - 5. Let y be x(1). Suppose -30 = -y*v + 18. Calculate the highest common divisor of 60 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006267 to four dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 252 divide 3788295207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from llulullu.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6777*n + 6781*n = -3*s - 47, 0 = 5*s - n - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -dbc00 + -1?\nAnswer: -dbc01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qz when two letters picked without replacement from tzqtwz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*d + 12*d + 3. What are the prime factors of d\/(8\/(-5988))*(-4)\/(-6)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 124 + (2 + -8 - 14)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**4 + 0*o**4 - 4*o**4 + (6 - 4 - 4)*(-1 - 2*o**4 + 1) + (-39 - 17*o + 36 - 5*o)*(5*o**3 - 4*o**3 - 4*o**3).\nAnswer: 67*o**4 + 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 44\/28 + -2 + (-540)\/14. Let m be 4\/(-6)*(x + 18). Suppose 0 = -5*b + 57 + 28. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170046?\nAnswer: 2, 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -18d959 - -9?\nAnswer: -18d950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2182540937 to the nearest integer?\nAnswer: 46718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1824 at most -2570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*k - 301 = 95 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1448 - -8789\/6. Let o be (0 - -12)\/((-27)\/(-264)). Let b = -115 + o. Find the common denominator of u and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 181183450*t**2 - 85298945*t wrt t?\nAnswer: 362366900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -147, -123, -17, 225, 657?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 7:36 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -174 and -174 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 261 a factor of 64361540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 2  (c) 0.006  (d) -2\/5  (e) 2\/5  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1198, 26784, 96230, 231466, 454422?\n\"Answer: 3655*d**3 + d - 2458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 2:05 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -24134452 (base 6) in base 7?\nAnswer: -6311261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*c - 102*c + 379*c = 122*c + 1725 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7072\/(-102) + -4*(-5)\/60. Is -1 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 times 45512947\nAnswer: 910258.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of k**5\/60 + k**4\/24 + 17*k**2 - 33*k. Suppose 0 = z + 2*z - 6. Let c be f(z). Let j(a) = a - 13. Give j(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42614523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of s**4\/2 - 58*s**3\/3 + 7*s**2 + 5. Let a be r(10). Solve 0 - 4 = 2*i, -4*w = -4*i + a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79397794?\nAnswer: 2, 7, 23, 246577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -5.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9196673 - 11660770 = -175*i - 6132243. What are the prime factors of i?\nAnswer: 2, 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 360 and 441856260.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -774101\/432 smaller than -1791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -0.30547174\nAnswer: -0.061094348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56 + -59. Let q be 1\/1 - (1 - 6 - v). Solve q = 3*u - 3*t, -2*u + 2*t = u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1633 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 30363101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tptwn. Give prob of sequence pwnt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -63644 (base 8) in base 3?\nAnswer: -1100101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dvqaz. What is prob of picking 1 a and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21455699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -301312 (base 4) to base 12.\nAnswer: -1a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3 + sqrt(700) + 3.\nAnswer: 5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 38005563.\nAnswer: 228033378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 97*v**4 + 360133*v**2 + 0*v**3 - 360133*v**2 + 2*v**3 - v to j + b*v**2 + h*v**3 + g*v + p*v**4 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 65  (b) -9  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + n + 33, -3*v + 6*v = 5*n + 93. Calculate the remainder when v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/1089, 4, 0.1609.\nAnswer: 1\/1089, 0.1609, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*c**2 + 5*c**3 - 27*c**2 + 31*c**2 + 12*c**3 wrt c?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w - 10 = 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 5:28 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 748 - 470. Let g be (l\/6 + 2)\/((-66)\/4950). Round g to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/60)\/(52\/96200*-37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ikhohohiokiko. Give prob of sequence oki.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5291.3 - 5290.82506. Round c to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/56 and 1\/6?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.063 and 901965.096162.\nAnswer: 901965.159162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1027 * -0.26\nAnswer: 267.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -1. Let s = j + -0.1. Let x = -139 + 138. Which is the biggest value?  (a) 1  (b) x  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*k + 5*w - 16, 5*w = -5*k + 5. What is the remainder when k + 1 + 1 + 29 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-15792)\/(-360) - 4\/(-30)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 691\/3  (c) 0.1  (d) -3\/7  (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i - 1. Give r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 123787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 3*y. Let p(d) = -5*d**2 + 8*d. Let k(h) be the first derivative of 2*h**3\/3 - 3*h**2\/2 + 3. Let m(g) = -8*k(g) - 3*p(g). Determine m(n(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4\/9 - 8*q**2\/9.\nAnswer: 2*q**2*(q - 2)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002701208758 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06967 rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 350 and 147630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 467 + -462. Solve -3*y - 14 = -2*s - j, -2*s + 2*y + 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 190351, 190357, 190373, 190405, 190459, 190541, 190657, 190813?\nAnswer: 191015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*q - 8 - 119*q + 8 + 91*q + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-195)*1)\/((-1007)\/(-712728)). Let s = 74\/265 - u. Which is greater: 7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 85*s - 1. Let i be t(4). Is i\/(-3)*(-6)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 13*w - 5. Let m(r) = -6*r + 2. Let f(q) = -5*m(q) - 2*z(q). Let g(t) = 75*t + 2. Calculate g(f(d)).\nAnswer: 300*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1825*z**2 - 1841*z**2 - z + 2 - z to the form q*z + w*z**2 + u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from leeeeellee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/99 and 79\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3636734\/59 - -61636. Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*f + 4)*(4 - 3 - 2) - 4 + f + 4 - 3*f + f + 0*f + 4 + 6*f - 4 - 4 - f + 4 + (-4*f + 5*f + 0*f)*(16 + 11 + 13).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 1732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -226665 divided by -115\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4305.794 litres to millilitres.\nAnswer: 4305794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3993 is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -3*i**5 + 105*i**4 + 18186*i**3 + 164394*i**2 - 14657031*i - 256476051 = 0.\nAnswer: -39, -27, 31, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*u = 40, -16 = 2*o + 2*u - 0*u. Calculate the common denominator of 3 - -1 - (-2849)\/1078 and 1\/(-4) - (-258)\/o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 3*a - 252 = 0, -a + 8 = a. Let y = r + -45. Suppose 0 = 4*i - y*q - 3, -i + 3*q + 2 + 1 = 0. Solve -3 = -g - i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1370*b*q**4 - 296*b*q**3*x + 38*b*q**2 + 37*b*x + q**4*x - 226*x wrt q.\nAnswer: 32880*b*q - 1776*b*x + 24*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 2*sqrt(143)\/sqrt(396))**2.\nAnswer: 10*sqrt(13)\/3 + 238\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -373 - -2?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-60) - (-34)\/30. Let z = 0.8 + 2.2. Is z < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2780*r + 2*m = -2785*r + 48, 4*r - 16 = 4*m for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(36)\/(sqrt(60)\/sqrt(5)) + -5*(sqrt(3) + 0 + sqrt(3)))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -158*u - 45344. Calculate m(-287).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29.6 - 101.4. Let m = n + 136. Put 2, 3, m in decreasing order.\nAnswer: m, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -725, -729, -735, -743, -753, -765, -779?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 2*f - 63. Let p = f - -31. Solve r - p = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (104 + -101)\/(-4 - (-196)\/48). Solve 0 = 3*z + 12, h = -4*p - 4*z + 32 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1595935095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*f - 41*f - 14 = 0. Solve -10*y - f = -12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f**2. Let c(h) = h**2. Let u = -5 + 9. Let r(v) = u*c(v) - d(v). Let w(z) = 2*z + 1. Let i(n) = n + 1. Let m(a) = 2*i(a) - 2*w(a). What is r(m(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -u**5 + 4*u**4 + 1259*u**2 - 81977*u wrt u.\nAnswer: -20*u**3 + 48*u**2 + 2518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 254, 256, 258, 260?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5*a = 59, 4*s - 2*a - 144 = a. Suppose -6*z + 4*z = 5*g - 12, -16 = -4*g. Let l be (-11)\/(-1) - z\/2. Calculate the highest common factor of s and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10\/6)\/(5 - 170\/36). Solve 0 = -j - 4*t - 7, 0 = 2*j - f*t + 4*t + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/5 - -12 - (1032\/38 + (-60)\/380)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c. Let f be o(1). Suppose -12 = -f*x - 0*x. Round x to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 868931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 - 8*n - 9. Let d be 0 + (-10 - 0 - -4). Let i be j(d). Let u be -7 + (i - -3) + -2. Let t(y) = -4*y. Let c(m) = m. Determine u*c(z) - t(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 9:53 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -284025, -1, 1 in descending order.\nAnswer: 2, 1, -1, -284025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -6 - (9 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*f = -689 + 4418 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12321273 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: b\"What is the dth term of -6, 75, 216, 423, 702, 1059, 1500, 2031?\n\"Answer: d**3 + 24*d**2 + 2*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of 79*k**4\/4 - 2*k**3\/3 - 41*k**2 - 7. Find the second derivative of c(w) wrt w.\nAnswer: 474*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2*n - 9, -4*n + t - 5*t = -12. Let y be (18\/4 + 0)\/6. Let b = -6\/11 - -35\/44. What is the second biggest value in y, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 AM and 5:47 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -82915*a**5 + 74*a + 37 wrt a?\nAnswer: -1658300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*(-2 - -1)*-1. Let t be (864\/1920)\/(78\/(-8)). Which is greater: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -9*g - 2. Let j(z) = -z + 1. Let k(a) = c(a) - 2*j(a). Suppose 87*s = 83*s - 8. Determine k(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4036, 4160, 4380, 4702, 5132, 5676, 6340, 7130?\n\"Answer: m**3 + 42*m**2 - 9*m + 4002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -172, 34424, 3 in descending order.\nAnswer: 34424, 3, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 6:42 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o - 6. Let k = -8 - -10. Let x be (6 + -2)\/(k\/3). Let j(h) = h + 7. Calculate x*j(a) + 7*u(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/(33\/(-6)))\/1. Let o = 72 + -433\/6. Which is the third biggest value?  (a) 5\/2  (b) w  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 4*n = -3*n + 285, -380 = 4*o - 4*n. Let f = o - -160. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/2 - (-75)\/10. Suppose -y*w + 12*w = 24. What is the lowest common multiple of 10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i + 7. Let f(o) = 2*o - 5. Let x = 3 + -3. Suppose -2*a + 3*d - 4 = -2*d, x = -5*a - 5*d - 45. Give a*f(u) - 5*z(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + t**2 + 2*t + 1. Let z be u(2). Let r(m) = z + 2 - 6*m + m**3 - 4*m**2 + m**2. Let n be r(4). Sort n, -2, -4.\nAnswer: n, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 5:53 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - l)*(35*l - 8*l - 7*l - 6 - 13*l).\nAnswer: -7*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57058*i**2 + 180386*i**2 - 38883*i**2.\nAnswer: 198561*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1041529.4 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y - 212*y**3 + 6*y - 7*y - 2*y - 2*y**2. Is w(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 296, 562, 828, 1094?\n\"Answer: 266*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -19791 divided by -9?\nAnswer: 2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -78 - -84. Let r be (-16)\/(-1 - -5) + t. Suppose -r*u + 402 = 4*u. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 3:15 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 270\/69 - 4\/(-46). Is 46281\/2*t\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206 + 929 - 3*c - 522 - 228.\nAnswer: -3*c - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p + 0 + 7*p**2 + 0 - 15*p**2.\nAnswer: -8*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 + 153*h - 294.\nAnswer: -3*(h - 49)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 3610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1187 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/12)\/((-5)\/(-6)*(-5)\/(-25)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -78.04\nAnswer: 234.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1473 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 3*x + 30. Let t be g(7). Solve -u = 3*f + 4, t - 6 = u + 2*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -0.4, -268, 3\/10, -2, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 0*o + o + 2 - 1 + 6. Let q be t(-5). Suppose -q*j + 0 = -10. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 991.6251ml?\nAnswer: 0.9916251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*1*(-1)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 + 2*k - 1. Let f be o(-2). Suppose -2*a - 4*n = a + 9, 4*n = 3*a - 15. Put f, a, 0 in decreasing order.\nAnswer: a, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -352522 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 4:06 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11355021 + 11355021 + 71*q**2.\nAnswer: 71*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 6473 + 2*w**2 - 6551 + 22*w - w**2. Let y be c(-25). Is -12 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnundqunnnmmmd. What is prob of picking 2 d and 1 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -107, -106, -105?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1260 + 1264. Solve -h - 9 = -4*t, a*t + 15 = 9*t - 5*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11874 and 178478094?\nAnswer: 11874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 62, -66, -5, 6, 151, -2 in descending order.\nAnswer: 151, 62, 6, 5, -2, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -407296137*y**2 + 14182771*y - 7 wrt y.\nAnswer: -814592274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/7 + 1244*f\/7 + 224640\/7.\nAnswer: -(f - 1404)*(f + 160)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 62407 at most 1\/276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 770*b + 775*b = -6, -5*r = 3*b - 14. Solve 2*m = -r*m + 18*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 911943 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 0 + 2. Let o(r) = -r - 2. Let u(y) = 5*y + 20. Let a(b) = 18*o(b) + 2*u(b). Let n be a(v). Solve 2*d + d = n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -129a (base 15) in base 8?\nAnswer: -7602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-199)\/(-21) - (16606\/138 + -120)\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -5*h**3 + 8. Let t(v) = -v**4 + v**3 - 1. Let d(y) = k(y) + 5*t(y). Find the first derivative of d(a) wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 2\/11, 0.002, 3, 0.25 in descending order.\nAnswer: 3, 0.25, 2\/11, 0.002, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 378 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -79*m - 24 - 461*m**2 + 24*m + 458*m**2. Determine l(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -3. Let f be -9*1*1\/(-1). Let r be 2 + (1 - (f - 2)). What is the second biggest value in 1\/3, r, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 8:20 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 2384.\nAnswer: 1\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*p - 52538 + 695867. Let b = -123081 - p. Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 133, 14, -5, -1, 11, 8 in increasing order.\nAnswer: -5, -1, 8, 11, 14, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4))**(-2\/11)\/(k*k**(2\/7))**(1\/3) assuming k is positive.\nAnswer: k**(-59\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 247793 divided by -2723.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*g**2 - g + 4 + g + 6*g**2 as i*g**2 + q + u*g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 23 + 35. Let p(g) = -g - g + k*g + 6*g. Let z(y) = -2*y. Determine z(p(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2827?\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4914 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -1\/20*a**6 + 1\/10*a**5 + 0 + 0*a**3 - 3\/8*a**4 + 57*a**2 + 11\/210*a**7 - a. What is the third derivative of w(r) wrt r?\nAnswer: 264*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 7, m: 5, p: 2}. Give prob of sequence xmmp.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3074.345 and 268.\nAnswer: 3342.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1767 and 26?\nAnswer: -45942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -5*d**3 + 759780*d**2 - 3039060*d + 3039040 = 0?\nAnswer: 2, 151952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 258\/(-301)*(-238)\/(-51)*1\/(-7)*1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 64729507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*-4 - (39 + -37). What are the prime factors of (-1 + (-278)\/z)\/((-1)\/(-12))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/(6*(-3 + (-145)\/(-50))). Solve -2*o - 3*o + 4*w = -l, 4*o - 6 = 2*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*3\/(-126))\/((-45)\/210).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2\/9  (b) -276  (c) 0.025  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x**2\/2 - 18819*x\/2 - 301616 = 0. Calculate x.\nAnswer: -32, 18851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 7519 - 4292. Does 56 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 7, -6, -3, 36 in descending order.\nAnswer: 36, 7, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15818*z - 8114066 = -15852*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -41*g - 537. Calculate r(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 476801?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 5*q**2 + 8. Let h be t(4). Let v be 45\/6*h\/(-12). Let y(r) = -r**2 + 5*r + 4. Let f be y(v). Solve -10 = f*z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 455285 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 85 = -96. Solve 0 = 3*k - 4*f + 2 + v, -3*k + 5*f - 17 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4390.\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2.74902l?\nAnswer: 2749.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g + 2*g + g)*(-16*g + 15*g**2 + 16*g) - 16*g**3 + 13*g**3 - 21*g**3 + (-4 + 4 - g**2)*(-g + 0*g - 2*g).\nAnswer: -51*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34 + 34 - 4*o + (0*o + 0*o + 3*o)*(-1 - 1 - 1) - 3*o - 11*o + 4*o to the form y*o + a and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25 - 20. Let r = -0.59 + 0.99. What is the nearest to r in k, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 3 i when four letters picked without replacement from ixninxxxnixixn.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1329409\/7 - 2304\/7*d**3 + 2656512\/7*d - 1\/7*d**4 - 1324798\/7*d**2.\nAnswer: -(d - 1)**2*(d + 1153)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10516*n - 11031*n - 17510 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 0*z**2 - 2*z**2 - 6*z**3 + z**3 + 6*z**3. Let r be g(2). Solve r = 4*u - 22 + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 26*l = 1404. Let p be (332\/(-5))\/((-3)\/(-15)). Let r = p - -818. What is the greatest common divisor of l and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 2251 - 2345. Let l = u + 1728. Let 10 - 461*s**3 - 7*s**3 - 156*s + l*s**2 + 108*s**4 - 1 + 3 = 0. Calculate s.\nAnswer: 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-86 - 8)\/(1 + -2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 652671 is divided by 726.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1276474813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 136805\/14 - 9776. Calculate the common denominator of 71\/16 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4549)\/22745)\/((-5)\/((-75)\/4))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -3*i**2\/2 + 46858362*i - 365951014887174 = 0.\nAnswer: 15619454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + j + 950 = 0, 18*z + 5*j + 1411 = 21*z. Calculate the highest common divisor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.76 - -0.52\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w + 38. Let g be t(36). Suppose 4*l - g*v - 1324 = 0, 3*v + 412 = -3*l + 1405. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f**3 - 4*f**2 - f - 5. Let v(s) = -2*s**3 + 3*s**2 + s + 4. Let p(b) = -3*k(b) - 4*v(b). Let y be ((-3)\/(-2))\/(24\/(-32)). Give p(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 16*k**2 + 7*k + 11. Let u be h(-11). Let c = 1556 + u. Suppose 4*f = 383 + c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 4359 = -y + 4388, -i + 99 = -9*y + 5*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p - 6*p - 3*p + 13*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaaaoaaaaa. What is prob of picking 3 a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2. Let h(y) be the second derivative of 5*y**7\/168 + 59*y**4\/12 + 2*y + 44. Let b(f) be the third derivative of h(f). Calculate k(b(v)).\nAnswer: -11250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -4*w + 55. Let c be b(16). Let y be 16\/(-3)*c*8\/48. Solve -y = 2*o - 0*o + 2*a, -17 = -2*o + 3*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvvffflolo. Give prob of picking 2 v.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((171\/(-2622))\/((-18)\/(-15)))\/((-1)\/(-8)).\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o**4*w*x + 3*o**4 - 31*o**3*x + 12*o**2*w - 2*o*w*x - o*x + w wrt o?\nAnswer: 24*o*w*x + 72*o - 186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -461.94118?\nAnswer: -46.194118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13821 * 7.\nAnswer: -96747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9676 is divided by 921?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 197, 465, 791, 1157, 1545, 1937?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 0, 1160, -39, 5 in descending order.\nAnswer: 1160, 5, 0, -1, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234412 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 378\/78 - 4\/(-26). Suppose 2 + 20 = o - t*a, -5*a = o + 18. Factor 1\/2*g - 1\/3 - 1\/6*g**o.\nAnswer: -(g - 2)*(g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2682*y - 5*t = -2679*y - 1, 2*y = 5*t + 34 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.40568 rounded to 2 decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of 3*w**2 - 3*w - 4. Let n(u) = -2*u + 1. What is 7*n(d) + 2*q(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30 - -27. What is the closest to -0.1 in -0.5, 5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80.49859km to centimeters.\nAnswer: 8049859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 107*g**2 - 2*g - 1. What is i(-1)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1248 + 832*s + 1513 - s**3 - 3034.\nAnswer: -s**3 + 832*s - 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*p = -25*p + 1638 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 21*z**2 + 14*z**3 - 18*z - 13*z**3 - 6*z**2 - 4. Let q be x(-16). Suppose -16*k = -14*k - q. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.3, -180\/13, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42 + 61. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5310, -18926, -41620, -73392, -114242, -164170, -223176?\nAnswer: -291260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**5 + 221420*c**4 + 6122149154*c**3 - 343361308080*c**2 + 4809489848352*c.\nAnswer: 2*c*(c - 28)**2*(c + 55383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l + 11. Let m be x(11). Let o = m + 75. Let t = o - 46. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.02695 + -0.37305. Sort 5, 3, -4, v, -2\/3 in increasing order.\nAnswer: -4, -2\/3, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 611.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from vrererrrev?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -411130924*v**3 - 1356368*v + 3?\nAnswer: -2466785544*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**3 + 2*c**2 + 6*c. Give m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.22 and -9.\nAnswer: -9.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -225621.4?\nAnswer: -225621.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1195184.\nAnswer: 2, 74699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 2*v - 2 + (-3 + 1 - 1)*(-2 + 2 + v) - 66*v - 2313 + 2313 + (0 - 2 + 1)*(-4*v + 5*v + 2*v) + 0*v + 2*v - 4*v to the form r + j*v and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-14) - (-2)\/(-4). Let n = 37090 - 37092. Which is the closest to q?  (a) -3  (b) -4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005336 rounded to seven decimal places?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -247 + 243. Is a + (-22117)\/(-8) + (-3)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-15)\/(-6))\/5)\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 PM and 2:30 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4 - 4 + 6*o + o**2 + 1. Let s(j) = -4*j + 2. Let x(a) = -26*a + 14. Let w(h) = -6*s(h) + x(h). Calculate 2*l(f) + 7*w(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1862.2 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - 5*b + 5. Let c(o) = o - 1. What is -20*c(h) - 4*z(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186 - 560 - 2*q + 184 + 190.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*k = 307*k - 2*h + 59, 0 = k + h - 31 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence saxa when four letters picked without replacement from {s: 1, a: 2, w: 1, x: 5, h: 7, f: 1}.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2624377?\nAnswer: 7, 83, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5*l + 2. Let c(a) = 1. Suppose -52 + 38 = 2*s. Let h be 30\/s + (-8)\/(-28). Let k(t) = h*c(t) + x(t). Let w(u) = 4*u - 1. Determine -2*k(m) + 3*w(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -5466\/7 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 128298, 255215, 382132, 509049?\n\"Answer: 126917*y + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.03599 to 2 decimal places.\nAnswer: -18.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 213, 860, 1973, 3552, 5597?\n\"Answer: 233*i**2 - 52*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2*i**2 - 4 - 2277*i + 4*i**2.\nAnswer: 2*i**2 - 2277*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**5 + 0*f**5 + 2*f**5 + (5*f**4 - 3*f**4 - 3*f**4)*(2*f + 2*f - 2*f).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1125 + -1121. Let v be 1*(-2 + 1)*-2. Solve -l = -6*d + 3*d - 7, 16 = -v*l - t*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 831 and 22714.\nAnswer: 68142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 4) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 3*r = 0, -4*k + 3*k + r = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4515 divided by 129?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 6) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 9 = 4*i. Suppose -i*o - 3 = -2*o. Sort -4, 3, 10, o in decreasing order.\nAnswer: 10, 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 1:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-36))\/(t**(2\/7)\/t*t))\/(t\/t**(-5\/12))**(-35\/4))**(-10) assuming t is positive.\nAnswer: t**(38455\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 0*x. Suppose 4*d - 4*u - 224 = 0, 2*d + 2*u - 100 = -x*u. Suppose -4*k = -333 + d. What is the highest common divisor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30097670 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -611.025 - -611. Which is the second smallest value?  (a) -2  (b) r  (c) -5  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from euvor. Give prob of picking 1 o and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(2057) - sqrt(17)) + sqrt(51)\/sqrt(3) + 3.\nAnswer: -44*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*f + 89 = 2*d + 123, 5*f = 3*f - 4*d + 52 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -345 (base 6) in base 14?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -10099\/33, 3\/4.\nAnswer: -10099\/33, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + -9. Suppose 0 = -u*n + n + 6. Solve -t + n*t = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**3 - 2*n**3 + 3*n**3 + (4*n**2 + 0*n**2 - 3*n**2)*(2 + n - 2) - 3 + 3 - 5*n**3 - n**3 - 2*n**3 - 2*n**3 + 0*n**3 + 0*n**3 - n**3 + 0*n - n**3 + 0*n.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(153)*5)\/(sqrt(441)*-1 - sqrt(441)).\nAnswer: 5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 2*f = 2, 10 = -3*l + 4*f - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2985050 divided by -526\nAnswer: -5675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 1, -313, -9 in decreasing order.\nAnswer: 1, -1, -4, -9, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4424 + 4424 + 4418 - 14*o**3 + 4422 - 17688.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppbzbhbpzzpkpbp. Give prob of sequence zhp.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146695 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -75, 5, 2, -2.\nAnswer: -75, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 396 and 319836?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.338 - 9.662. Sort h, -0.5, 4 in increasing order.\nAnswer: h, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 12 = -3*w, -4*s = w - 0 - 4. Let g be 1 - (s + 5\/(-5)). Suppose -4 + 0 = -i. Solve 0*x - g*x = i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from puphhsuphph. What is prob of picking 2 h, 1 s, and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -101 + 73. Let k = 74 + o. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18679058.09 to the nearest 100000.\nAnswer: 18700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -357 = 46*p + 5*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1123\/7 - -160. What is the closest to 5 in -0.5, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - g + 2)*(2 - 4 + 3)*(4 + 9 - 2) to w*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5269208*u - 14487290 wrt u.\nAnswer: -5269208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 82, 131, 180?\n\"Answer: 49*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 PM and 8:47 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 400 and 4?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61176812 is divided by 2913181.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3137*r - 305. Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -96 - -114. What is the greatest common divisor of q and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*i - 23 = 0, 5*w - 377*i = -374*i + 81. Solve 744*a - w = 759*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 6*d - u - 17, -4*u = d + 5. Let m = d - -2. Suppose 3*q - 195 = -4*g, 16 - 1 = -m*q. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3036162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7 - 3*(-18)\/8)*-8. Solve -2*o + a - 6 = -5*n, 0 = -4*n - 2*o + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 3:44 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -5, -2\/37.\nAnswer: -5, -2\/37, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -7 + -1 + -3 + 4 + 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -722276 - 2*y**3 + 361463 - 6*y**3 + 360813.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by -531\nAnswer: 13\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298 is divided by 113.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 7) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**3 + j**2 + j + 1. Let x be b(-1). Calculate the common denominator of -4 - x - (-134)\/12 and (2\/5)\/(1 + (-598)\/590).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-8))\/(6\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562 is divided by 149.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 1, 1\/5, -13\/6, -0.3, 26, 6, -1\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - -989023?\nAnswer: 989023.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223584045.\nAnswer: 3, 5, 14905603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1202*c**2*v**3 - 4*c**2*v**2 + 40*c**2*v - c**2 + 1532*c*v**3 - 1426*c*v wrt c.\nAnswer: 2404*v**3 - 8*v**2 + 80*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 217 and 2263.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58052 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fgfv when four letters picked without replacement from {w: 5, f: 2, g: 2, v: 4}?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3701 is divided by 1836?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 191\/140790 and -5\/1482.\nAnswer: 140790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*w - 356 = -55*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppeep. What is prob of sequence eppe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -1 - 12*i**2 - 2*i + 13*i**2 + 0. Let r = -3 + 6. Let n be y(r). Solve -n*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.4  (b) 4  (c) 116  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -u - 2*u - 4*n, 0 = 3*u - n - 8. Is u 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 720726?\nAnswer: 2, 3, 120121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 3*m + 17, 2*d + 3*m + 14 = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 8*d**2 + 37*d + 28. Let u(k) = k**3 + 8*k**2 + 44*k + 29. Let n(m) = -7*l(m) + 6*u(m). Calculate n(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(135)\/(6*sqrt(10)\/sqrt(2)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 8*v - 11*v. Let k(j) = j**2 + j + 1. Let f(i) = 4*i**2 + 4*i + 3. Give v*f(z) + 5*k(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((-3 + 7 - 13) + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2887 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 - 17. Let a(g) = 3*g. Let q(m) = -3*m + 1. Let o(u) = s*a(u) - 5*q(u). What is the derivative of o(z) wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/(-6))\/((-144)\/(-96)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 142\/(-168) + (60\/16)\/5.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 298 = 38*l - 246 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/(-4)*(0 - -2). Let j be (-5)\/1*(2 - 1). Is j at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 87306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -440 - -444. Solve -l*o + 7 = 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 13 = -g - g, 2*t + 4 = -g. Suppose 0 = -5*o - w - 2, 2 + 2 = g*o - 2*w. Solve -5*u - 2*s = -10*u - 3, o = -2*s - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 36459137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w + 33 = 93. Let b(q) be the first derivative of 3\/4*q**2 + w - 1\/2*q + 1\/6*q**3 - 3\/8*q**4. Solve b(k) = 0 for k.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f - 29. Suppose u - 140 = -6*u. Suppose 180 = 2*z - u*z. Let c be p(z). Solve c = -4*y + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 261 + -16?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -0.748?\nAnswer: 0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 5*t**2 - t + 2. Give b(5).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -56 - -95. Suppose -l = -h - k, 5*l = l + h + 153. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 2*m - 22 = -5, 0 = 3*a + 2*m - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*x - 3*x + 0*x as w*x + k and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1696141.89 and 3.\nAnswer: 5088425.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -3\/13, -27\/11, -162\/25, -3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 43776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 255?  (a) -0.36  (b) 25  (c) -6  (d) -0.4  (e) -5  (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -1. Let a be r\/6*(3 - 6). Suppose 2*w = 5*c - 38, 10 = -c - 2*w - a*w. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 2 - 2*m)*(448 - 52*m**2 - 448).\nAnswer: 104*m**3 - 52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.2  (b) 4  (c) 1494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 - 7*h + 13. Suppose -g = -4*q + 2*q - 15, -g = 1. Let k be l(q). Solve 0 = m + k, c - 2*m = 3*m + 23 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 - 5*w**2 - 6*w + 4. Let t be c(6). Let y = 5 - t. Solve -3*o + 2 = -y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5 - (-4 + 2)) + 1 + 5. Let s = 34 - 7. What is the greatest common factor of b and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1072 + -14728. Round c to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1 + -22 - -1231 - 3*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1838*z = -1849*z + 605. What is the lowest common multiple of z and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/4 + 884\/(-272)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1e2d0 (base 16) to base 7.\nAnswer: 1023231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/(x**0*x))**23\/((x*((x*x*(x**(-2\/15)\/x)\/x*x*x)\/x)\/x)\/(x\/(x*x*x**4))) assuming x is positive.\nAnswer: x**(257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 20*n + 2385. Determine s(-107).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 4*t**2 - 19*t**4 + 3*t**4 + 10*t**4 to the form v*t**2 + m*t + o*t**4 + w + i*t**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4a9 + -6739?\nAnswer: -6be3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 28. Suppose -7*g + 3*g = -n. Suppose q = 2*m - 106, 7*m - 2*q - 264 = g*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7a7 - -12?\nAnswer: 7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 104 = -3*k. Let p = k + -10. Suppose -2*g + p = -2*x, 0 = g - 0*g - 3*x - 18. What is the smallest value in -0.5, g, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 3\/359418038 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**(3\/5))\/h)\/h)\/((((h*h**(-5))\/h)\/h*h)\/h)*h\/((h**(1\/8)\/h)\/h*h)*h**(-1) assuming h is positive.\nAnswer: h**(211\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 14291 - l - 14291. Let h(c) = 12*c**2 + 5*c. What is h(u(f))?\nAnswer: 12*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(1\/4))\/p*p)**(18\/11)*(p**(2\/7)*p)\/p*p*p**(-3) assuming p is positive.\nAnswer: p**(-75\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**5 - 3*k**3 - 5*k**2 + 9*k. Let r(q) = 2*q**5 - q**3 - 3*q**2 + 5*q. Let u(l) = 6*d(l) - 10*r(l). Factor u(n).\nAnswer: 4*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-2*sqrt(13) - sqrt(13)) - (sqrt(13) + (sqrt(13) + sqrt(117))*-1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-7535)\/5 + -3)*(-9)\/15*3. What is the greatest common divisor of k and 1057?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 2:02 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c - 7 = -7*c - 3*l, -2*c - 26 = -4*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -205.02 and 443 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) -2\/9  (c) 18  (d) 0.3  (e) 2\/7  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 421937 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 99?  (a) -0.2  (b) -4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*u**3 - 6*u**3 + 14*u**3 + (2 - 3 - 1)*(-7*u**3 + u**2 - 5*u**3 + 3 - 3*u**3).\nAnswer: 47*u**3 - 2*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 15 = -3*d, 2*u - 8 = -2*u. Let l(f) = 7*f**2 + 3*f - 4. Is 14 a factor of l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*y**3 + 55*y**2 - 5 - 141157*y**6 - 2*y + 70227*y**6 + 70341*y**6 + 2*y wrt y.\nAnswer: -70680*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -726 = -10*u + 2584. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1, 4, -2, -6, -0.03?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 5*f**4\/6 - 144*f - 4. Let q(i) = 4 - 4 + 4*i**2. Determine x(q(y)).\nAnswer: 160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 29 = 2*m + 7, 5*r - 31 = -6 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**5 + 968*d**4 - 2163*d**3 + 21625925*d wrt d?\nAnswer: 40*d**3 + 11616*d**2 - 12978*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 72\/5 of a microgram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(768) + -3 + -4)**2.\nAnswer: -224*sqrt(3) + 817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrlrrlr. Give prob of picking 2 r and 1 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -186846 times 9?\nAnswer: -1681614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4*k**3 + 6*k**2 + 7*k + 3. Let z be n(-4). Let g = -97 - z. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 47, 84, 113, 134, 147?\n\"Answer: -4*v**2 + 49*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**5\/f*f\/f**(-1\/4))**(-24) assuming f is positive.\nAnswer: f**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6427197 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: Let q(p) = -199*p + 6569. Let k be q(33). Factor 4\/3*c + 4 + 1\/3*c**4 + 0*c**3 - 3*c**k.\nAnswer: (c - 2)**2*(c + 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4, 11, 34, 79, 152, 259, 406?\n\"Answer: d**3 + 2*d**2 - 6*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1252 = 4*j - 2*v, -5*v + 2 - 22 = 0. Let x = -267 + j. Let t(l) = -l**2 + 9*l - 4. What is the remainder when x is divided by t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 47*a + 8. Let i(w) = 48*w + 7. Let u(g) = -5*i(g) + 4*y(g). Let r be u(1). Which is smaller: r or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i - 18. Let b be a(-5). Let f be 4\/(8\/122) + 0. Let s = f + b. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(((-1)\/(-1))\/(-1)) - -9. Solve 0 = 4*g - v + 2 + 4, 12 = -g - h*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 8*v**2 - 35*v + 421. Calculate the least common multiple of c(15) and 20.\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 12:33 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 35, 233, 591, 1109, 1787?\n\"Answer: 80*j**2 - 42*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lw when two letters picked without replacement from ltnwlttnlllnwlslll?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 170 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*6*(-3 + 1 + sqrt(1100)).\nAnswer: -180*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3 + 29*w**2 - 224*w + 196.\nAnswer: -(w - 14)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*k = 384*k - 432*k - 6720 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1001610 is divided by 688?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16452 is divided by 5448.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -31*x**3 - 371*x + 371. Determine n(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3491981?\nAnswer: 3491981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in -0.2, 17, -2, -1266?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 34649117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -148\/7 or -20?\nAnswer: -148\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -23*y + 830. Let n be o(36). Solve 2*z + n*s = 3*s, 0 = 2*z + s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (51 - (1 - -18)) + -13\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (89*y - 67*y - 89*y)*(2 + 2 - 3 + y).\nAnswer: -67*y**2 - 67*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -97 in -0.4, -2, 159, 0.3, 0.1, 2\/117?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h**2 - 6*h + 28. Let u be b(8). Let m = u - 56. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -1866760\nAnswer: 3\/1866760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnllmznnzmmnmz. Give prob of sequence mmzz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-8)*-7*5\/245*91?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 215017 at most 215016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 17195721 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 304\/72 - (-4)\/(-18). Let p(z) = 0*z**2 + z**3 - 5 - 4*z**2 + 7*z + 1. What is the units digit of p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.07, 148, 4, 82, 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -3, 4, 0.4, 6, 21071, -2\/9.\nAnswer: -3, -2\/9, 0.4, 4, 6, 65, 21071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 4*c + 1. Let f(m) = m - 1. Let d be f(4). Suppose 5*r - 6 = -d*l - 0*l, -9 = 2*r + 5*l. Determine a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hdhhhhhhdihhhdhiih. Give prob of sequence di.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 - 26. Suppose 0*q + 21 = l*q. Factor 0*t + 0 + 0*t**2 - 2\/3*t**q.\nAnswer: -2*t**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from xumxmxxxmxxmxmm?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 595 + 1776. What are the prime factors of o?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 2*q - 248. Suppose 8*h - 10*h = -q. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3 - 0.2. Let v = 34.7 + -35. Which is the nearest to -1\/3?  (a) -4  (b) v  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 - 62800*i**3 + 196563000*i**2 + 3950120000*i + 19782050000.\nAnswer: 5*(i - 6290)**2*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5*10\/1275)\/(6\/18).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-3 + -1 - ((3 - 2) + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 2*s = -2235, -173 = 3*a - 2*s - 1518. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 211665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 852.156 centuries?\nAnswer: 8521.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4874*j + 33115*j + 33686*j - 11709*j.\nAnswer: 50218*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -87, -11, 3, -3 in decreasing order.\nAnswer: 4, 3, -3, -11, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2004, -1943, -1840, -1695, -1508, -1279?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -193827 at most -193826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180 divided by -180.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/(-10))\/(8\/(-20)). Suppose -3*r = -3*u + u, -k*r = 3*u. Which is smaller: r or 6\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, u: 1, i: 1, e: 2, q: 1, d: 2}. Give prob of sequence eieq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2690 divided by 538?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, 295, 711, 1229, 1849?\nAnswer: 2571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/5)*w**(-4)*w*w*w**(6\/7)*w**(-2\/7))**(1\/9) assuming w is positive.\nAnswer: w**(-71\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v**2 - 554*v - 135*v**2 + 554*v + 8*v**2.\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 74*x - 16. Let q(o) be the third derivative of 25*o**4\/24 - 5*o**3\/6 + 31*o**2 - 11*o. Calculate 5*l(d) - 16*q(d).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 2163000 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(-2 - 2*s + 4 + 0).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23140 is divided by 203.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b - 36?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 4*m + 9. Let z = -0.89 - -0.69. Which is the biggest value?  (a) m  (b) -1\/3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3449 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.15 - -9.85. Let l = m - 9.8. Which is the third smallest value?  (a) l  (b) 1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -184.6 - -184.1. Which is the fourth smallest value?  (a) i  (b) 3  (c) -5\/6  (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/8)\/(144\/(-84))*10\/15?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -12, 2 in increasing order.\nAnswer: -12, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + 1 + -4 + 13. Suppose 4*f = g, -12 = 2*n - 6*n + 4*f. What is the lowest common multiple of ((-28)\/n)\/(44\/(-198)) and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196046.\nAnswer: 2, 83, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4132 is divided by 296?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6034 by -181.\nAnswer: -6034\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 4*y + 3 = 11, 8 = 4*y. Suppose b*f - 3*f - 5 = -k, -5*k - 26 = 2*f. Let w(r) = -r - 2. Determine w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -323?  (a) -5105  (b) -13  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -364*f + 432*f - 25666532. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 + -12. Let n = 1 + 2. Sort 0.4, n, b in descending order.\nAnswer: n, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) + sqrt(18) + sqrt(162)\/(sqrt(72)\/sqrt(8)))\/sqrt(9)*2.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -980336 and -980326 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24850 and 80680850?\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14.1 + -69.9. Let g = v - -93. Let q be (-15)\/9 - 5\/(-3). Put 2\/11, g, q in descending order.\nAnswer: g, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1123*y - 72 = -1127*y, 5*h - 2*y + 16 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 184 and 1426?\nAnswer: 5704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -251*s - 1504. Let o be h(-6). Solve o*a = -c, 38*c - 39*c = a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 269 - 261. Suppose -t*o + 67 = 3. Which is the closest to 0?  (a) o  (b) 0.4  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**3 + 1 - 1)*(2*g - 2*g - 3*g)*(-1 + 1 - 2)*(177 - 2377 + 369 - 1533).\nAnswer: -40368*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/3)\/d)**(19\/4)*(d**(-1)*d)**19*((d**(-1))**(-1\/14))**(4\/9) assuming d is positive.\nAnswer: d**(-397\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 6*s = 2*x + 81, -5*x + 27 = s. Let q = s + -10. Let h = 22 - 10. What is the remainder when h is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-124)\/16 + (-10 + 12)\/(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129875 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by -4 - (-4 - 2 - 2) - -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -y - 0*y. Let t(z) = -4*z**2 - 3. Let l(j) = -8*j**2 + 9 + 7 - 12 + 12*j**2. Give y*l(p) + 4*t(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/8)\/((5835\/225620)\/(2*-3))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 701923351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {p: 4, x: 1, t: 5, r: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nna when three letters picked without replacement from nnaanwwa?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -261\/7 at least -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-9)\/6)\/(((-47790)\/(-2052))\/(-59)))\/1?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(15)\/sqrt(3) + -1)**2 + 5 - sqrt(55)\/(sqrt(11)*-1)*2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (126209 - 117*p + 420*p + 182*p - 126207)*(p + p - p).\nAnswer: 485*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 4)*(-3*y + 4*y - 2*y) + 0*y + 3*y + 0*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3433642 (base 7) to base 15\nAnswer: 87071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 5*w - 16 = 3, 0 = 2*g + 4*w - 20. Suppose 225 = g*c - 279. What is the tens digit of 6\/8*(c + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 12:15 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16\/7 - 89\/42. Let f = 0.05 + -0.08. Let i = 0.23 + f. What is the biggest value in i, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46712045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 30 = -5*d, -c = -2*d + c. Suppose -3*r - d*p = -69, -2*r + 3*p + 23 = -r. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xsv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 21020200120?\nAnswer: 21020200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48591297 and 1233.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 153\/(-210) - (-4)\/5. Let t(v) be the first derivative of 1\/7*v**2 - 5 + 0*v + 4\/21*v**3 + p*v**4. Factor t(c).\nAnswer: 2*c*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x + 4*x - x)*(-x**3 - 4*x**2 + 4*x**2) + (7*x**4 + 5*x**4 + 7*x**4)*(-1 + 0 + 2).\nAnswer: 21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.6 + -1.21. Round d to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*(g\/g**(-1\/5))\/g)*g**(2\/13))\/(g**(-8)\/(g\/((g*g\/g**(12\/5))\/g*g*g*g*g*g))))**(-45) assuming g is positive.\nAnswer: g**(-3132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + -1. What is the nearest to -0.1 in z, -7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -5. Let m(y) = 7*y + 6*y**2 + 20 + 8*y + 0*y + 0*y. Let a(u) = -u**2 - 3*u - 4. Let w(q) = -11*a(q) - 2*m(q). What is w(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48754120813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 4*v**2 - 4*v + 1. Let u be k(-3). Suppose -11*m + 72 = -5*m. Suppose -m + 0 = -u*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.791 - -0.391. What is the biggest value in k, 3\/13, -3\/2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.097 in 1\/3, -3\/5, -142\/3, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39*(-13)\/39*1196\/(-169)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*i**6 + 27734*i**4*u + 11*i**2*u - 2*i**2 - i + 141*u wrt i.\nAnswer: -600*i**3 + 665616*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*c*h + 17869*c + 2*h - 195448 with respect to c.\nAnswer: -2*h + 17869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*p = -16*p - 3040. Calculate the greatest common divisor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2. Let d(h) = h. Let n = 8 + -7. Let m(u) = -4*u + 1 + 0*u - n. Let o(z) = 3*d(z) + m(z). Calculate -2*o(l) - v(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 1.8734689\nAnswer: -7.4938756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 14 = n. What is the lowest common multiple of n and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -810, 47, 4, 46 in increasing order.\nAnswer: -810, 4, 46, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 10) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(136)\/(sqrt(288)*-2) + 2 + -2*sqrt(68)))**2.\nAnswer: -147*sqrt(17) + 41393\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4*t - 1 - 9 = 0, -5*d = t - 35. Let x be (22\/33)\/((-4)\/d). Let r = -25754\/37 - -696. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 t when four letters picked without replacement from {t: 4, h: 3, x: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 5628 = 4*i, 2798 = 3*i - y - 1427. Suppose 4*k + 1014 - 296 = t, -2*t + i = -k. Suppose 3*w = -3*w + t. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + -8)\/(-8*(-2)\/(-20)). Suppose 0 = p*c - 13*c + 128. Solve 2*q + c = -2*q - 4*k, -3*k + 8 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7*319\/154)\/(6*31\/372).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 563444, 563446, 563448, 563450, 563452?\nAnswer: 563454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 3*y**2 - y + 1. Let t(k) = 9*k + 57 - 32*k + 15*k. Let p be t(7). Calculate w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**2 - 15*z - 26. Determine q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - z**2 - 8. Let j(b) = 4233*b**3 + 7*b**2 + 64. What is j(y) + 8*v(y)?\nAnswer: 4225*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.025 + -0.475. Sort -5, 2, 2\/11, b.\nAnswer: -5, b, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32 + 50 + 50*u**3 - 53*u**3 in the form b*u**2 + z*u + g*u**3 + x and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*i**4*n - 15373*i**4 + 285*i**3*n + 5928*i**2*n + 2*i**2 + 2*i*n - i - 12*n - 4 wrt i.\nAnswer: -96*i*n - 368952*i + 1710*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 5\/4  (b) 1  (c) -2\/3  (d) -0.1  (e) -51  (f) -0.5  (g) 2\/19725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 44803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 19 = -5*g, -4*g = 7*g + 2*g - 4*w - 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13353*l**3 - 6*l**2 + 11*l - 11?\nAnswer: -80118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1732)\/2736 + 6\/8. Let r be 36\/19 - (3 - 1). Let k = r - g. What is the third smallest value in -0.07, -1\/2, k?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2900 - 2234.8. What is x rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8176970 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 3*a. Let r(h) be the third derivative of -1\/480*h**6 + 1\/24*h**3 - 1\/32*h**4 + 0*h + a + 1\/80*h**5 - h**2. Solve r(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1408964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 70342433*q**5 + 109677686*q**2.\nAnswer: 4220545980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 98256?\nAnswer: -98252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43681968 to the nearest integer?\nAnswer: 6609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of -12*v**6 - 901*v**5\/5 - 10*v**4\/3 - 8836*v. Factor h(a).\nAnswer: -4*a**2*(a + 10)*(90*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -257*n + 8993. Let h be o(35). Let b(w) = -26*w**2 - 3*w - 2. Determine b(h).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 + 39 + (-1 - 9) + 2 + -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(7) + 1 + sqrt(7) + 2 - -2*sqrt(112)))**2.\nAnswer: 60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 4\/7  (c) -2\/17  (d) 1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 6*u = 6. Let x(r) be the second derivative of 7\/30*r**4 + r + 0 + 4\/5*r**u - 4\/5*r**2. Factor x(y).\nAnswer: 2*(y + 2)*(7*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -9. Suppose 4*m + 0*d + 2*d = 64008, -4*d = r*m - 64016. What is m rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32*s**6 - 31728*s**5 + 1838629*s**2.\nAnswer: -3840*s**3 - 1903680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88 and 10464?\nAnswer: 115104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*h + 1 - 1)*(h - h - h + (-1 + 1 + 2*h)*(-1 + 0 - 4) + 271*h - 197*h + 286*h) as o*h + t*h**2 + q and give t.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17860, 20121, 22376, 24625, 26868, 29105?\nAnswer: 31336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 16*y + 5 + 0 - 2*y - 2*y + 2*y + (-2 + 1 - 1)*(-y + 3*y - y) - 2 + 2 + y + 0*y + 3*y - 2*y + y + 6*y - 4*y + y + y + y.\nAnswer: 20*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 + 0*a**3 - a**3)*(-4 + 2 - 2)*(5 - 5 + 3*a)*(0*a - 2*a + 5*a)*(0 + 1 + 0).\nAnswer: 36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-4) - (-7)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181*n = 163*n - 381*n - 1184 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 8.7. Let y = f - 0.3. Let u = -2\/311 - -949\/2488. What is the nearest to y in 7, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125445 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 6*u**2 - 7*u + 5. What is f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 430734?\nAnswer: 2, 3, 71789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(4\/5)*o*o\/(o**(-9)*o) assuming o is positive.\nAnswer: o**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-19)\/((-346104)\/37500) - 2 and 71\/87.\nAnswer: 44022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 935190010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**3 + 27*v**2 + 13*v + 22. Give h(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 740586\/(-28854) + 4\/(-3)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 80 and 464?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 4*c + 138, 12*c + 183 = 3*l + 14*c. Solve -83 = 5*o - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/6*97188\/623.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 620924?\nAnswer: 2, 155231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of 13*y**3\/3 - 9*y**2\/2 - 27*y. Differentiate s(l) wrt l.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from yxyysszysgg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 6*b**2 + 77*b - 240. Give q(-16).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -15.61  (c) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10780372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**3*r**2 + 2*i**3 + 4*i**2 - 164043*i*r**3 - 1087*i*r - 5 wrt r.\nAnswer: 4*i**3 - 984258*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 3*g. Is ((g - -51) + 2)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8, -4, 5439, 1\/6, 2, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 1455*s**6\/2 + 1193*s**3\/3 + 4200. What is the third derivative of l(x) wrt x?\nAnswer: 261900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 596.8231 to the nearest integer.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*p - 5780*p**4 + 498 - 6*p + 5176*p**4 wrt p?\nAnswer: -2416*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*z + 6*q + 252, 3*z + 201 = q. Let n be (-10)\/3*z\/55. Suppose a = 5*g + n*a - 64, 4*g - a = 41. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(-6*o**2 + 0*o**2 + 0*o**2) + 452*o - 452*o + 23*o**2.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -16569 greater than 1.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h - 2*h + 7*h - 8*h + 84498*h**2.\nAnswer: 84498*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -62.5 in -102, -3, 37, -0.1, -5?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 - 8*l + 33. Let x(r) = r**2 + 4*r - 16. Let d(u) = 6*i(u) + 13*x(u). Let w = 3 + -11. Does 11 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -2) + -20 + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33728579 and 791?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -106671\/8, 0.3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**2 + 7133898*p - 14267804 = 0 for p.\nAnswer: -3566951, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*h = -462, 3*h + 352 + 109 = 4*j. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 2, 14, 42, 92, 170?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1351\/6  (b) -0.7  (c) 0.021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 9:08 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 24635 - 129929.726\nAnswer: -105294.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -n**5\/20 - n**4\/4 - 2*n**3\/3 - 2*n**2 + 167*n + 111. Let k(c) be the first derivative of i(c). Give k(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 take away 943?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-3\/8)*f)\/f*f*f*f)\/f**(-1\/4))**29*(f\/f**1)**(-15)\/((f**(2\/17)*f)\/f**(-4\/3)) assuming f is positive.\nAnswer: f**(33017\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7318 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 9*y - 560 = 0. Let j = y - 11. Suppose 4*k = j - 37. Calculate the least common multiple of k and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 3:56 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 520 = -2*f, 7*f - 12*f + 1294 = -2*n. Calculate the remainder when f is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5419 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 v(s) = 2*s**2 + 12*s - 23. Let x be v(-8). Solve -5*j - 6 - x = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1191)\/(-63))\/((-10)\/18). Let k = 234\/7 + y. Which is the nearest to -1?  (a) -0.3  (b) 0.5  (c) k  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -166 - -172. What is the smallest common multiple of q and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1340515.6154 minus 3?\nAnswer: -1340518.6154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - 5*w + 8. Let i be j(4). Suppose 23 = s - i*o - 18, 2*s + o - 109 = 0. Let d = s - 26. Calculate the lowest common multiple of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -15*n - 1. Let m(r) = -7266*r + 1 - 7289*r + 14569*r. Give 5*m(x) + 4*y(x).\nAnswer: 10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 2:24 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -13\/12*n**3 + 0*n - 43*n**2 + 1\/120*n**5 + 0 - 1\/4*n**4. Find t such that x(t) = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1351, -2744, -4139, -5536, -6935, -8336?\n\"Answer: -g**2 - 1390*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/60337728 and -31\/52866.\nAnswer: 181013184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8012 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ruruurrrrrruur. What is prob of sequence rru?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/6 - 13\/3. Find the common denominator of 85\/12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -124403, -124408, -124431, -124478, -124555?\n\"Answer: -k**3 - 3*k**2 + 11*k - 124410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/8*24\/84*36\/9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*g*r**3 + 2*g*r**2 - 2*g - 5235*r**6 - 45960 wrt r?\nAnswer: -18*g - 628200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 514182, 4, -1, -4 in ascending order.\nAnswer: -4, -1, 0, 4, 514182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**2 + 0*z**2 + 2*z**3)*(-4*z + 4*z - 4*z)*(-z + 3*z + 4*z).\nAnswer: -48*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 558097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 128996526 to the power of 1\/2, to the nearest integer?\nAnswer: 11358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -21401, -21448, -21495, -21542?\n\"Answer: -47*f - 21354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13630.79 millimeters to nanometers.\nAnswer: 13630790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3316 - 3326. What is the closest to 2\/5 in 46, r, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1699247296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gmg when three letters picked without replacement from gsmgmgmm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y**5\/4 + 725*y**4 - 1500535*y**3\/4 - 277591745*y**2\/2 + 46268890640*y - 91979608360 = 0. Calculate y.\nAnswer: -607, 2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 20*w - 3 = -19*w, 5*w = 5*a + 35 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 - 5*d**2 - 6*d + 7. Let z be u(7). Let m be 963\/z - (57\/(-21) + 3). Solve -8 = 4*k - 0*k, -3*k = 3*b + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 + h. Let y(k) = -13*k**2 - 12*k - 7. Let f(x) = 5*n(x) + y(x). Let z(l) = 218 - 9*l**2 - 8*l - 445 + 219. Calculate 7*f(p) - 6*z(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j + 39 + 0 = 0. Let r(l) = 3*l + 2. Calculate r(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5016 (base 7) in base 13?\nAnswer: a2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, 4, 5 in ascending order.\nAnswer: -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17\/8 in -0.4, -1.4, -0.1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 3*k = -36, -2*r - 12*k + 10*k + 44 = 0. Solve -2*v = r - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45849\/7 + -6582. Let o = z - -33. Sort o, 5\/6, 5 in increasing order.\nAnswer: 5\/6, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v = -7*v - 20. Let x be v*((-3)\/6 + 1)*76. Let c be (-4)\/(x\/3)*8\/(-42). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 + 6\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -28929  (b) 5  (c) 1\/5  (d) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*d**3 + 44*d**3 - 13*d**3)*(-2 + 6 + 23).\nAnswer: 1350*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 156 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 112 = l, 0*l + 4 = l. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 PM and 7:47 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 3156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 - 7. Let z = -159 + 231. What is the remainder when z is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.8, -5\/64, 3\/8?\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r - 9*r + 2*r + (3*r + r - 3*r)*(3 - 4 - 1) + 2*r + 2*r + 3 - 3*r.\nAnswer: -9*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 37799\/(-5) + 85\/(-425). What is the tens digit of ((-3)\/(-6))\/((-21)\/d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 - -19. Solve -3*p - 4 = d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**2 + 0*l**2 + 2*l**3 + (15*l**2 + 10*l**2 - 5*l**2)*(3*l - 4*l - 4*l) + (5*l**2 + 2*l**2 - 5*l**2)*(-9 + 8 + 10)*(0*l - l + 0*l)*(0 + 1 - 2).\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 9979*n + 39991. Determine m(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.017 + 5.317. Let k = -5 + f. Let y = 199.9 - 200. Which is greater: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -q**4\/4 + q**3 - 2*q**2 + 4*q - 295. Determine z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 66318, 2, -5, 41.\nAnswer: -5, 0, 2, 41, 66318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49492372?\nAnswer: 2, 17, 449, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2) + (-6)\/(-4). Suppose 53 = 4*a + i, -20 = -a + 4*i - p*i. What is the greatest common factor of 35 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83384.\nAnswer: 2, 7, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-50)\/(-15) - (-2)\/(-6). Suppose -r*p + 1 + 5 = 0. Suppose -h = -1 - p. Calculate the highest common factor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x - 3*x**2 + 2*x**3 - 1 + 2*x**3 + 2*x**2. Let t be p(1). Suppose t*s = 4*b - 3231, 0*b + 2*b - 1629 = -3*s. Round b to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11496)\/(-107775)*2\/(-8)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 + 1 + -5 + 9. Let z(w) = -3*w**3 - 15*w**2 - 10*w + 7. Let x(a) = -4*a**3 - 22*a**2 - 15*a + 11. Let g(d) = -5*x(d) + 7*z(d). Give g(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15503230 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.6193 decades in months?\nAnswer: 10754.316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 1379734 + x - 1379734 + 2*x. Let m(r) = 60*r**2 + 7. Calculate m(j(y)).\nAnswer: 540*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (354\/(-42) - 3\/(-7)) + (392\/35 - 1).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (6*20 + -3)*(-4)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -821*l + 663. Let z be r(-21). What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1226*o + 557*o + 522*o.\nAnswer: -147*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -171 divided by -57.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38 + 26. Let z = 14 + o. Suppose 0 = -z*m - 2 + 6. Solve 0 = -2*j - m - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**3\/5 - 18*h**2\/5 + 8*h = 0.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i - 3*t + 4, 47*t - 267 = -4*i - 87 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10497768349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) - (sqrt(187) - sqrt(187)*1))*6)*-1)\/(sqrt(77)\/(2*2*sqrt(7))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30363*c**2*h**3 - c**2*h**2 + 220901*c*h**3 wrt c?\nAnswer: -60726*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -2 - ((-12 - 1) + -288 + 296)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -33*l*q**3 - 165*l*q**2*x + 2*l*q*x + 2*l*q + 4071*l*x - 2*q**2*x - q*x + 2*q - 2*x wrt q.\nAnswer: -198*l*q - 330*l*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - l**2 + l. Suppose 3*o + 5*p + 0 = -31, -5*o = -4*p - 10. Let h be z(o). Let b(c) = c**h + 2*c**2 - 3 + 5*c - 2*c**2 + 6. Give b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 79035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -11651 and -7.\nAnswer: -11658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*n = -s + 8, 2*n = 2*s - 14. Suppose -5*u = y + 1, -3*y + 5*y - s*u - 22 = 0. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 5, -4\/3, -76?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6414 by -2138.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, y: 2, n: 2, k: 5, s: 5}. What is prob of picking 3 k and 1 n?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-55)\/(-385)*((-14)\/(-4))\/(2\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*k - 0, 0 = 5*n + 2*k - 3. Let c(x) = -8 + 11 - x**3 + 10*x**2 + n - 9*x. Calculate the lowest common multiple of 14 and c(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (21 - (-2 + 4 + 5))) + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9039?\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**6\/45 + 5*s**4\/12 - s**3 - 5*s. Let n(j) be the second derivative of g(j). What is the first derivative of n(p) wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1843 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2542610 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4654656.44 and -5570.\nAnswer: 4649086.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5207058 and 2314248?\nAnswer: 20828232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(96\/(-42))*(-12)\/(-6)*-3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-15))\/(18\/(-54))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3038059007 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 339724536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = 5*j - 99. Solve -j*r - 3*v = -8*v + 2, -8 = 3*r - 2*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32423 - 32420. Solve 0 = -14*p + 15*p - 3*h + l, -5 = p - 4*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/(11448\/(-4982)) - -7?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 f, and 1 h when four letters picked without replacement from wffwfplppwwhf.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.2 in 7\/2, -1.98, 0, -0.1, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*m, -m - 2*m = -2*t + 28. Let j(v) = -t*v - 3*v + 6*v + 4*v**2 - 1. Is 10 a factor of j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -59.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.23 - 0.23. Let i = 37.4 + -37.563. Let l = i - 0.837. What is the third biggest value in l, k, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 9 + 1 = 3*w, 2*j + w + 10 = 0. Let z(d) = -d**2 - 6*d - 3. Let i be z(j). Suppose -f + 1 = 2*q - 4*f, i*q - 4 = 2*f. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nddq when four letters picked without replacement from {s: 1, b: 1, n: 10, d: 5, q: 1, r: 1}.\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*a**2 + 19*a - 5*a**2 + 22*a - a**2.\nAnswer: 5*a**2 + 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 PM and 4:45 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of 1\/6*r**4 + r**2 + 0*r + 0 + 1\/12*r**5 + 1\/120*r**6 + 0*r**3. Suppose -68*l + 76 = -87*l. Give x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -14 + 1a07?\nAnswer: 19f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -285 = -3*a + 2*l, -5*a + 4*l + 280 + 193 = 0. Let w = a + -94. Suppose 3*r - 30 = 2*b - 5*b, -15 = -2*r + w*b. Solve -3 + r = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (8 + -25)) + -3 + (2 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-805)\/(-69)*(-6)\/(-84).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -h - 20 + 121, -95 = -3*j + 2*h. What is the remainder when 704 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6139612 and 10?\nAnswer: 30698060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -27*i + 10. Let o(w) = -501*w. Determine d(o(k)).\nAnswer: 13527*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 2*r - 5*r + (-2 - 2 + 6)*(-8*r - 20 + 20) - 1 + 5*r + 1)*(3 + 2*r**2 - 3).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 480 - 477. Which is the biggest value?  (a) -3  (b) 5  (c) m  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 16*x. Let m be j(2). Let y = 48 - m. Let h = 231 + -207. What is the greatest common factor of h and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 2\/293105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4898182.\nAnswer: 2, 2449091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -1. Let p(m) = m - 9. Let b(i) = p(i) - 2*u(i). Let z(r) = -1. Let l(j) = b(j) - 6*z(j). Determine l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 - 8*h**2 + 7*h + 4. Give o(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1096\/4 - (-4 + 0\/1). Let f = h + -86. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**25\/y*y**(-1\/2))\/(y**(-30)\/y*y**(-4)) assuming y is positive.\nAnswer: y**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0028630967 to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1604443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 912324 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**2 - 2*u**2 + 4*u**2)*(2*u**2 + 4*u**3 - 3*u**3 + 0*u**3)*(6 - 3 + 0).\nAnswer: -6*u**5 - 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 22*f - 4134. Calculate b(114).\nAnswer: -1626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*i + 4*p = -80*i - 1606, 0 = -2*i - 3*p + 647. What is the greatest common factor of i and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 20*p**2 - 3. Let g(v) be the first derivative of -7\/3*v**3 - 3 + v + 0*v**2. Give -6*a(s) - 17*g(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1548 less than or equal to -838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 111 + -b8?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-5*(-3)\/20)\/(120\/(-64)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111100112 (base 3) in base 4?\nAnswer: -2120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 72 - 71.999998775. Round a to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 - x**2 + 1. Let k(z) = 87*z**3 + 543*z**2 - 328*z + 37. Let a(h) = 22*j(h) + 2*k(h). Factor a(p).\nAnswer: 4*(p + 6)*(7*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(1331) + (sqrt(1331) - 5*-2*sqrt(1331)) - 6*sqrt(1331)*1) + (sqrt(1331) - (0 + sqrt(1331))*6)*-5)**2 + -2.\nAnswer: 1279088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 9:32 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3\/8)*(p*(p*p\/p**(-4))\/p)\/p*p**(1\/4)\/(p**(-2\/3)*p))**(3\/5) assuming p is positive.\nAnswer: p**(109\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4*w - 9 = 0. Suppose w = 6*i - 3*i. Solve 0 = t - i*t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2\/7, 2, 56\/915, 22, 0.2 in descending order.\nAnswer: 22, 2, 0.2, 56\/915, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 85*d - 437*d**3 - 212*d**3 - 87*d to the form j + o*d**3 + g*d**2 + q*d and give o.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-7\/4)*d)\/d)\/(d**(-4)\/d)*((d\/(d**0*d))\/d)**(-1\/80))**(1\/28) assuming d is positive.\nAnswer: d**(261\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide ((-4358)\/3)\/(116\/1856*(-8)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-18)*-3 - (229 - 2). Let n = s + 238. What is the lowest common multiple of n and 409?\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-3\/14)\/((g\/((g\/g**1)\/g))\/g) assuming g is positive.\nAnswer: g**(-17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 63\/2*(-10 - 1224\/(-119)). Sort p, 5, 34 in descending order.\nAnswer: 34, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356226?\nAnswer: 2, 3, 13, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 146299 and 2.\nAnswer: 292598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 10*a**2 + 11*a + 17. Let i be t(-9). Let x = -48 - -62. Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*d - 3*d - 273 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3.3  (b) 3  (c) -0.1  (d) -4\/7  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -454389 or 0.1?\nAnswer: -454389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -x - 4, -3*x = -v + 6 - 0. Suppose 2*d + 18 = 4*j, -4*j - 14*d + 15*d + 15 = 0. Put j, 11, -3, x in increasing order.\nAnswer: -3, x, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-4) - ((-2388)\/8 - 2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -15\/7, 1\/5, 0.3, 0.4, 0.1?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44*q**5 + 2183210*q**3 - 1549279*q - 44 wrt q?\nAnswer: 880*q**3 + 13099260*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80 + 6*v**2 + 80.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 17, 0 in decreasing order.\nAnswer: 17, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -833, 16, -3, -2, -5 in ascending order.\nAnswer: -833, -5, -4, -3, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(125) + -3)*-6 + (-4 + sqrt(125) + sqrt(125))*-1)*-6*1)**2.\nAnswer: -63360*sqrt(5) + 305424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1710952*p**5 + 77*p**2 + 4*p + 8114?\nAnswer: 102657120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4  (b) 1.36  (c) -0.02  (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 274, 272, 270, 268, 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4 and 1124.3483678906.\nAnswer: 1124.7483678906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-2)\/x)\/x)\/x)**28\/(x*(x\/(x*x\/(((x*x\/(x\/x**(-2\/3)))\/x)\/x)))\/x*x*x**7) assuming x is positive.\nAnswer: x**(-436\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 115.07331 and -0.78.\nAnswer: 114.29331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -4119*v + 37074. Determine w(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i**3 - i**2 + 3*i + 5. Let z be v(-2). Let x = 11 - 7. Suppose 15 = 3*r, x*u - 4*r = 240 + 48. Calculate the greatest common factor of z and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-35760)\/(-75) - (-1)\/(0 + 5).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 8:14 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + (1 - 1 - -1). Suppose g*d - 1 + 3 = 0. Let l be (d - 0) + 3 + 70. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 78*t**3 + 289*t - 289*t + (4 - 7 - 3)*(-2*t**3 - 11 + 11).\nAnswer: 90*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-87)\/(6\/(-14)*(-21)\/(-6)*-1). Is -58 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1279677 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -1)\/((-20)\/140)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 59705 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 145098348707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 297 + 262 = -4*b, -z = -817*b + 12250 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -4 + sqrt(720) + (sqrt(720) + 4 - sqrt(720)) + sqrt(720) + 0 + (sqrt(720) + 2 + sqrt(720) + -5 + 2*sqrt(720)*1)*5)**2.\nAnswer: -6864*sqrt(5) + 348649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/(-25))\/(1\/10). Suppose -a = d*a - 30. Let x be (-239999)\/a + 12\/(-72). Round x to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s + 1. Let l(g) be the second derivative of -245*g**3\/6 - 7*g**2\/2 + g. Let p(b) = -4*k(b) - l(b). Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3374 * 0.7\nAnswer: -2361.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 12, t: 5, j: 1}. What is prob of picking 2 n and 1 j?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87691.3 hours to microseconds.\nAnswer: 315688680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 821953943 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (32 - 32)*(-2 - 10\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*z + 3*u + 868 = 0, -30*z - 2*u = -34*z + 32 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 20094 divided by 2\nAnswer: 10047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ku when two letters picked without replacement from tltkkttktutttkkt?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 + 3*u**2 - 1. Let d(a) = -2*a**4 + 47*a**3 + 101*a**2 - 344*a + 195. Let w(s) = -2*d(s) - 6*k(s). Factor w(x).\nAnswer: 4*(x - 24)*(x - 1)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137 = l - 671. Let v = 1277 - l. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 9*c**2 - 8*c - 9. Let d be z(-8). What is the units digit of (-6)\/d*360\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1863)\/(-18)*(-216)\/(-324)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of q**6\/6 + 2*q**5\/5 - q**4\/2 - 4*q**3\/3 + q**2\/2 + 2*q - 10. Determine h, given that u(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3688306, 7376614, 11064922?\nAnswer: 14753230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7834 + 267*t + 15619 - 7785.\nAnswer: 267*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12, 32, 150, 378, 752, 1308, 2082?\n\"Answer: 6*i**3 + i**2 - i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36 + -34. Suppose 0 = 11*x - 4*x - 21. What is the units digit of 159\/n*6\/9 + x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1097 + 1097.00003395. What is s rounded to seven decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1822?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**43\/q*q)\/(q\/(q*((q\/((q**28*q)\/q))\/q)\/q)) assuming q is positive.\nAnswer: q**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 351 and 6591.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 715*s**2 - 16 + 119*s**2 + 157*s**2 - 24.\nAnswer: 991*s**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -11335 * 0.07\nAnswer: -793.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 4:03 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/7 and 36\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*k**2 + 30*k**2 + 0 + 2 - 234*k**2.\nAnswer: -272*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.02 and 108615670.\nAnswer: 108615670.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 63 = 4*b - 63, 3*j - 93 = -3*b. Suppose 31*k = b*k. Solve 2*o + 8 + k = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 232\/(-15) - (-83)\/((-2158)\/(-390))?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + b**2 - 1. Suppose 10 = -14*n + 9*n. Suppose -8 = -2*h - 2*m, -h - 4*m - 2 = -0*m. What is the remainder when u(n) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 237578431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21)\/(-6) - (-4)\/(-8). Let f(y) = 4*y**3 - 1 - 3*y**x - y**2 - y + 2 + 0*y**2. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -75456814 less than -75456814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.98 + 0.02. What is the closest to 0 in -1, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -216\/187447 or 0?\nAnswer: -216\/187447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 + 2*s - 2. Is a(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + 120561?\nAnswer: 120552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -7225.5771 rounded to the nearest 10?\nAnswer: -7230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 13869*s**3 - 1139*s**2 - 1139*s. Let u(q) = 73*q**3 - 6*q**2 - 6*q. What is 6*j(y) - 1139*u(y)?\nAnswer: 67*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*v + 426 = -18*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -880258*j + 11. Let k be w(-6). Let c = 458441 + k. Round c to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a millennium in decades?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssssssssssmsis. Give prob of picking 3 s.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 339612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l**2 - l**2 - 3*l**2)*(l + 16*l - 6*l)*(l - 2*l - 4*l)*(-2 - 3 + 4) to m + p*l**3 + b*l + i*l**2 + u*l**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -489 in 3, 0.2, 131, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 293231 or 293245?\nAnswer: 293231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 51*n**3 - 4*n**2 + 18*n + 51. Determine j(-2).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 4*c + 6. Let t be b(5). Calculate the smallest common multiple of 2\/(t - 3\/6) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -14\/4093 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 16  (b) 0.05  (c) 0.4  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.08 - 4.92. Put f, -0.4, 0.4 in increasing order.\nAnswer: f, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2920, -5, 7, 4 in ascending order.\nAnswer: -5, 4, 7, 2920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4 - 42*f**3 - 165*f**2 - 126*f.\nAnswer: -3*f*(f + 1)*(f + 6)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 192889490?\nAnswer: 2, 5, 373, 51713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zyhyyhy. Give prob of sequence yzh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -539 - -539. Is 0.0332 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3 = -g, 2*k - 3*g + 0 - 1 = 0. Let u be 0 - k*(-10 + 2). Sort -4, 2, u in decreasing order.\nAnswer: 2, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1705881, -0.5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = 8*t - 2*k + 14, 4*k = 3*t - 2. Let m(g) = -g**3 + 7*g**2 - 3*g. Calculate m(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-12))\/((-1)\/27). Let y be 2*1*(k + 11). Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 13*l = -18*l - 2, 0 = z + 2*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 939 divide 2355951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/2*0 - (-7 - -2). Solve -6 = -2*g + 2*z, -4*z - 5 = -2*g + a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n - 15*n**3 + 7*n - 4*n.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 3*t. Which is smaller: -2\/29 or t?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + 45. Let y be i(0). Suppose 3*q + y = 2*q. Let u = 78 + q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(32\/(-12)))\/((-3)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*i - 51*i + 609 = -3*t, -3*t = 3. List the prime factors of i.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 111.67 - 111. Let l = 450 + -3151\/7. What is the biggest value in z, -4, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.111 - 404.111. Let z = 403.998495 + h. Round z to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278*x - 273*x = -20. Suppose -9*p + 300 = -5*p. Is x\/(-30) - ((-4790)\/p + 4) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + ((sqrt(27)\/(sqrt(9) + sqrt(900)))**2 - sqrt(3)) + 5).\nAnswer: -3648\/121 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 78*w**4 - 808*w**2 - 676*w - 779692082 wrt w?\nAnswer: 312*w**3 - 1616*w - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -101*h**2 - 26*h - 244. Let z be d(-8). Let k = z + 17239. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 849544695?\nAnswer: 3, 5, 18878771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 p when four letters picked without replacement from {i: 1, u: 1, p: 1, a: 2, x: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91602.68519 - -91559.68519101. Let g = -0.51 - 42.49. Let f = s - g. What is f rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 1480*h - 4507. What is a(3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13772771513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1245860824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 14. Let f be -3 + 11 + 1 + q. Suppose 25 = 5*b - f. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29698805047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1912554044.\nAnswer: 2, 97, 4929263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**3 + 51*t**2 + 10*t - 110. What is the remainder when x(-25) is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -48820 or -14?\nAnswer: -48820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -643 + 320 - 2*n**3 + 323.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 106.57 - 106. Let t = -0.2 + 0.13. Let x = q + t. Put 0.2, -5, x in decreasing order.\nAnswer: x, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -65*u. Let m(t) = 251*t**2 - 124*t**2 - 130*t**2. Calculate m(o(s)).\nAnswer: -12675*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/4 of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-26)\/15 + (-15)\/25. Let l(b) = b**3 + 12*b**2 - 14*b - 14. Let p be l(-13). Is p greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 1 - 1 + 4128*q - 1920*q**2 + 186*q**3 - 2181*q**4 + 2190*q**4 = 0.\nAnswer: -86\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29053*h + 125258 = -32260 + 883843 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 2*t**3 + 3 - 5 + (2 - t**2 - 2)*(2*t - t - 2*t) + 7683*t**2 - t - 7683*t**2 + 2*t**3 + 203 as y + r*t**2 + b*t + c*t**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 217 + 61. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 19*k**2 - 123*k + 75. Let l be d(24). Sort l, 2, 17, 4 in decreasing order.\nAnswer: 17, 4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 2 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -11100100000001000011001 (base 2) to base 12\nAnswer: -2603a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + sqrt(125)) + -4*sqrt(39)\/sqrt(3).\nAnswer: -23*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6163638027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8787, -16912, -25035, -33156?\n\"Answer: w**2 - 8128*w - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 270*v + 1. Let n(f) = -4*f**2 + 14. What is t(n(x))?\nAnswer: -1080*x**2 + 3781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110027258 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: Let c = -28 - -25. Is ((-4)\/c + -2)\/((-4)\/2082) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dyzzrrwrzwjr. Give prob of sequence rw.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 328, 1351, 3064, 5461, 8536, 12283, 16696?\nAnswer: 21769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 16. Let m(n) = 2*n**2 - 21*n - 19. Let q(p) = -p**2 + 11*p + 10. Let w(x) = c*m(x) - 11*q(x). Give w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -200020311 (base 4) in base 13?\nAnswer: -47bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/5, 25, 1, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ysqssqcskyccksksksq. What is prob of sequence sq?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*k + 76 = 0, -5*k + 153 - 3 = 5*m. Let n be (-2)\/7 - (-29)\/m. Let y = 0.6 + -1. What is the closest to -1 in -1\/2, n, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1221.73 + 1088.4. What is w rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 2. Suppose -5*t + w*t = -25. Suppose 0 = -t*y + 24 + 11. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/(-10) + (-52)\/(-8). Calculate the greatest common factor of 363 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3353 - 3327. Calculate the remainder when 647 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, v: 3, s: 2}. Give prob of sequence vvsq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -8*u**3 - 2*u**2. Let v = 602 - 600. Let y(g) = -5*g**3 + 38*g**3 + 9*g**v + 9365*g - 9365*g. What is 9*i(w) + 2*y(w)?\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 1:24 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.1*-51.\nAnswer: 107.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*z = 3*z - 28. Sort -0.17, z, -3, -0.2.\nAnswer: -3, -0.2, -0.17, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 y, and 1 b when three letters picked without replacement from {d: 1, y: 1, k: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-2))\/(9\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7587 is divided by 247.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16264, -16240, -16206, -16156, -16084, -15984?\nAnswer: -15850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -133 + 96. Let k = -33 - l. Solve 14 = -5*a + k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**2 - 3*u - 3. Suppose 7*m + 17 = 38. Suppose m = -x + 2. Let n be z(x). Which is the closest to n?  (a) 0  (b) 1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -3 + 8 - (1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 74\/7 of a week?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -633024*j**2 + 1390343 wrt j?\nAnswer: -1266048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 368323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 93*m - 95*m + 104. Suppose -3*y + 5*j = -0*y - m, y = 3*j + 24. Is 14 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 10 = -s. Suppose 4*q + 2 = s*q. Solve 4*v = q*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/7 - 1531389*b**2\/7 + 1531388*b\/7.\nAnswer: b*(b - 1531388)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*u - 26*u - 14*u**2 + (0 + 1 - u - 2*u)*(4*u + 2*u + 10*u).\nAnswer: -62*u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 325363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/8676 and 13\/252.\nAnswer: 60732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*q + 74 - 2 = -28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 22 + 3. Suppose -n*j + 4 = -16. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of -1\/120*s**6 + 0 - 2*s**2 + 0*s**5 - 1\/6*s**3 + 0*s**4 + 0*s. Let o be d(-1). Solve 4*a + i = -o*i - 9, 2*a - 2*i = 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1816 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**5 - 24*n**4 + 66*n**3 - 72*n**2 + 27*n = 0. Calculate n.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*d + 13*d - 7054 = 0, z - 2*d + 1768 = 0. Which is greater: -1777 or z?\nAnswer: -1777","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.08 - -4.92. Let n = -17 + 5. Let p = -14 - n. Which is the smallest value?  (a) -3  (b) p  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m. Let s be q(-2). Suppose -3*o + 22 = x, 3*o = -s*x - 0*x + 106. What is the remainder when 82 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -283*i + 5222 - 34856 = 138*i + 28*i for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 11:20 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s + 4. Let h be i(0). Suppose 0 = -3*d + h*d + 2. Let g be d + 108\/15 - (-1)\/(-5). Solve -3*m + 8*m = g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/(-4) + -2 + 575 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12695 = -48*i - 0*i - 13655 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 5*x - 3*v + 40, -4*x + 2*v = -6. Solve -f - 13 = 4*o, 5*f + o + x + 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/17)*b*b\/(b*b*b*b**(26\/5)))**(-2\/7) assuming b is positive.\nAnswer: b**(1074\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5 = 17, -j + 2*x + 28174 = 0. Let z be (1\/(-2))\/((-16)\/160). Is 3*j\/12*1\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1068610, 2137251, 3205966, 4274791, 5343762, 6412915?\nAnswer: 7482286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 9, k: 1, j: 2, g: 2}. What is prob of sequence bj?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-9\/7)\/j**(-9)*(j**(2\/5)*j)\/(j\/(j*j**(-1\/14))))**8 assuming j is positive.\nAnswer: j**(2532\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 309 * -572.\nAnswer: -176748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 - -38. Suppose 6*a - a - 20 = 0. Suppose o + a*o - 67 = -3*f, -f - 1 = -y*o. What is the remainder when 53 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 1270 = a, 5*a + 3*u - 165 = 6101. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3724831?\nAnswer: 11, 307, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 4) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - -8*1\/2 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -15*c**2 + 30*c + 52. Let b(a) = 7*a**2 - 15*a - 22. Let u(d) = 13*b(d) + 6*z(d). Let k be u(2). Factor 0*q - 2\/7*q**2 + k + 2\/7*q**4 + 0*q**3.\nAnswer: 2*q**2*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 200 and 5?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1 + sqrt(171) - (sqrt(931) + 0 + sqrt(931))) - (-5 + 0 + sqrt(1900) - (0 + sqrt(1900) + -2)).\nAnswer: -55*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*a**2 - 176*a**2 + 61*a**2 + 1376*a**3 + 58*a**2 to p*a**2 + i*a**3 + l*a + x and give i.\nAnswer: 1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1710, -3279, -4618, -5727, -6606, -7255?\nAnswer: -7674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 241.67729 to the nearest integer.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 395252 is divided by 5133?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*d**2 - 17 - 31 + 2*d**3 + 56 - 31 + d - 11*d**2 to t*d**3 + y + a*d**2 + q*d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 172008\/5 + (-6)\/(-15). Round b to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2925 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + u - 1. Let g(s) = 14*s**2 + 12*s - 12. Suppose 36 = 5*j - 24. Let h(a) = j*b(a) - g(a). Let z(t) = -2*t**2. Calculate h(z(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -4, 591, -3, 0, -44 in increasing order.\nAnswer: -44, -4, -3, 0, 10, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (13 + 1)\/(406\/232). Let t(a) = a**3 + 7*a**2 + 7*a + 5. Let y be t(-6). Let i be (0 - (-1 - y))\/(-1). Solve n*v - 4*v = i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s + 1. Let a(l) = l - 1. Let z be (-403)\/(-143) - 6\/(-33). Determine z*t(j) + 4*a(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3125*z + 17806 = 2818*z for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2 + (sqrt(13) - (0 + sqrt(13)))**2) - -1*-4*sqrt(117).\nAnswer: -12*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.3 + 0.7. Let p = 2.9 - m. Which is bigger: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 136369 and 155131?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -357890, -357886, -357872, -357842, -357790, -357710, -357596, -357442?\nAnswer: -357242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59 - -62. Suppose i = 4*p, 3*p - 11 = v*i + 2*p. What is the fourth smallest value in -5, 0.1, -3, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*f - 4*w - 3, 0 = -3*f - 2*w + 25. Suppose 7*h = 5*h + 4*r + 14, 4*r = f*h - 23. Is (-2710)\/(-4) + h\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79992.372 rounded to the nearest 10?\nAnswer: 79990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8668.9944s?\nAnswer: 2.408054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/21)\/b)**(-2\/39)*((b*b**(-1\/28))\/b)\/b*b**38 assuming b is positive.\nAnswer: b**(17321\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 2*w - p, 0 = 253*w - 255*w - 4*p + 52 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 2 a, and 1 q when four letters picked without replacement from hdqxadp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-40)*(((-9724)\/26)\/22)\/(2\/(-4)).\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 35*s**2 - 134285*s - 38370 = 0. Calculate s.\nAnswer: -2\/7, 3837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4363453.735 rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124 - 128 + 370 - 62 - 2*b.\nAnswer: -2*b + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 + -27. Solve -2*n = 3*o - 4, -4*n - p*o + 2 = -2*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4693 (base 11) to base 9\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/4*-1*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 220*j**2 + 152*j**2 - 572*j**2 + 1055*j**2. Let l(k) = 9*k**2. Calculate l(d(g)).\nAnswer: 6579225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*q + 88*q + 87*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 5*z - 80. What is d(19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 42 + 3*d - 2*d)*(-d**2 + 3*d**2 + 0*d**2).\nAnswer: 2*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -16*w**3 - 4*w**2 - 2*w + 1. Let q be z(-1). Let f = q - 111\/7. Let m be -1 + 3 + 1*-2. Is f >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1545 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 2)*((-1 + 1 + 2)*(-5 + 3 + 3) + 6 + 2 + 0)*(2*o - o + o).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-three halves of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 0.02, 2, 1, 4\/7.\nAnswer: 0.02, 4\/7, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = r - 0*r, -h + 4*r = -1. Suppose -2*o = -4*i - 1208, 2*i - 359 - 257 = -o. Suppose h*j = 10*j - o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -11*j - 4. Let m(o) = -o**2 - 9*o - 2. Let c be m(-8). Let f(y) = 5*y + 2. Give c*g(r) + 13*f(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 76 + 2 - 1\/((-4)\/(-8)). Find the second derivative of x + 50*f**2 - 75*f - 158 + 84 wrt f.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -644 divided by 14397?\nAnswer: -644\/14397","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1857 and 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 152776 divided by 6?\nAnswer: 76388\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 21 + -54?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**2 - 3*j - 1. Let m be y(-2). Suppose -17*s + 5*x + 23 = -15*s, 0 = -s + 4*x + 10. Is m != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 255763.2 from 13.9.\nAnswer: -255749.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3505 - -3504.8. Is l at most -1\/195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 29354 and 6774?\nAnswer: 88062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1480)\/(-777))\/(155\/(-434)) + 9?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of 12*u**2 + 7\/360*u**6 + 29\/90*u**5 + 0 + 16\/9*u**4 + 0*u + 16\/9*u**3. Find a such that n(a) = 0.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + r. Let i be h(0). What is the units digit of 7*((1 - -1) + i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -57 - -131. Let p(v) = v - 74 + t. Let l(u) = -2*u. Calculate 3*l(c) + 3*p(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6711237\/627 - 3\/(-11)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -156*c**2 + c + 33*c**3 - 8*c**3 - 27*c**3 in the form b + o*c**2 + t*c + p*c**3 and give o.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 - k**2 + 11*k + 13. Let o be r(-1). Is o not equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express s**2 + s - s + (0*s + 4*s - 5*s)*(-2*s - 5*s + 5*s) as a + p*s + y*s**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000014532471 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 252*t = -x + 253*t - 10, 0 = -3*x - 9*t + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a decade in years?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 x, and 2 j when four letters picked without replacement from jxjnjnjx?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 22674 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -77233945.00723 + 77232917. Let d = -1028 - m. Round d to four dps.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32702678 to the nearest integer?\nAnswer: 5719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 AM and 10:14 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -47*r**4\/12 + 47*r**2\/2 + 34*r. Find the first derivative of g(o) wrt o.\nAnswer: -94*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*i - 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -35638800 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -19835.\nAnswer: -2\/19835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of y**5\/60 + 4*y**2. Let v(f) = 4*f**2 - 13. Let r(s) = s**2 - 1. Let a(d) = -5*r(d) + v(d). Give a(q(n)).\nAnswer: -n**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 2*z - 4*z - 10, 0 = 5*z + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*t**2 - t**2 + 0*t**2)*(366 - 366 + 141*t**2) in the form a*t**3 + u*t**2 + x*t + g + o*t**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 2) + 0 + 3. Suppose -7*o + 2*o + 4*t + 26 = 0, o - t - 6 = b. Is (294 + 0)\/o - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -48*l**6\/5 + 40*l**5 - 97*l**4\/12 + 2*l**3\/3 - 736*l**2. Determine u so that o(u) = 0.\nAnswer: 1\/24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 - -27. Factor 0 + x**4 - 1\/3*x + 5\/3*x**2 - 7\/3*x**s.\nAnswer: x*(x - 1)**2*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 - -1232350?\nAnswer: 1232356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**7*a*a)\/a)\/a)\/a**20*(a\/a**(8\/5))**34 assuming a is positive.\nAnswer: a**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 980, 7277, 24206, 57083, 111224, 191945?\nAnswer: 304562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000799 to seven decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/5 - 12\/20. Let m be t*(38 - (4 + -2)). Let y = -16 - m. Solve -y = 3*p + p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -2. Suppose o*b + 2980 = n - 4*n, -3*n = 2*b + 2992. Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36 - (-58 + -5) - 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14065 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 33\/18 - (15\/18)\/(-5). Suppose g*t + 9 = 13. Solve 0 = -0*d - t*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**3 - 3*l**3 + 0*l**3 + (-3*l**2 - 3*l**2 + 5*l**2)*(-4*l - l + 2*l) - 2*l + 2*l + 2*l**3 + 2*l**3 + 0*l**2 + 0*l**3 + 5*l**2.\nAnswer: 4*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4\/3 - 134*u**3 + 813*u**2 - 1224*u.\nAnswer: -u*(u - 3)**2*(u + 408)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 917714321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.657744ns in microseconds?\nAnswer: 0.006657744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 3:09 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -378, -352, -326, -300?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 - 5*r**2 - r**2)*(-8 + 8 - 4*r) + (-3 + 3 - 2)*(0*r - 3*r + 0*r)*(2*r**2 + r**2 + 3*r**2) - 4*r**3 + 2*r**3 + 3*r**3.\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4669352 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 242.1 + -242. What is the nearest to 2 in 0, k, -0.01?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 5:21 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -427*u + 569. Let r(a) = 428*a - 570. Let g(m) = -6*r(m) - 5*w(m). What is the derivative of g(j) wrt j?\nAnswer: -433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21600*v + 2655 - 2655.\nAnswer: 21600*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 6:49 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r - 13. Calculate a(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -112552230 (base 6) to base 13\nAnswer: -586380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 53946351 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 672 + -669. Let d(a) = a**2 - 3*a. Give d(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14750 = 125*v - 66*v. Solve v*y - 4 = 251*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2*o**2 + 57*o - 8 - 25*o - 4 - o**4 - 44*o + 2*o**3 to the form i*o**4 + c*o**3 + v*o**2 + r + x*o and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -16603.9 from 0.2.\nAnswer: 16604.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4\/2 - 227*j**3 - 1858*j**2 + 4620*j.\nAnswer: j*(j - 462)*(j - 2)*(j + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -27691 divided by -8941\nAnswer: 27691\/8941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 7*m = -14*m - 140 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/3)\/((-55)\/(-15)). Let p = 63 + -62. Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v - 2*m = -13*v - 46, -v = 4*m - 8. Calculate the smallest common multiple of v and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 10, 2*t + 8 = -2*y + 3*y. Let v be (-15 - t)\/(1\/1). What is the units digit of (-9)\/v + 5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1101111 (base 2) to base 14\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -887, -10496 in increasing order.\nAnswer: -10496, -887, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45 (base 7) to base 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 10*g + 9*g + 13 = 0, -5*q + 16 = 2*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0216616223 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/34)\/((-5)\/(-5)*-1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25191*c**3 + 106*c - 250?\nAnswer: -151146*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/5, 1\/2, 3, 1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -5 + 3 + 34 + -696 + 688.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-34)\/(-4))\/(2\/(-4)). Let g = l + 59. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -2 - (142 + -288 + 100)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1113459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d + 3. Let r = 42 + -16. Let z(g) = 13*g + 7. Let f(i) = 12*i + 3. Let t(u) = 5*f(u) - 4*z(u). Calculate r*v(h) + 6*t(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-198))\/(122\/(8784\/(-216)))?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 6*c + 0*c + 0*c - c + (-2*c - 2*c + 3*c)*(1 + 2 - 1) + 2 - 2 - c)*(57 + 4 + 108) to z + m*c and give m.\nAnswer: -1690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, h: 3, o: 2, m: 1, v: 6, e: 1}. Give prob of picking 1 p and 1 e.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -6, 5, -4.\nAnswer: -16, -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1280 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + 68*j + 1607. What is the smallest common multiple of 133 and k(-25)?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 87 and 30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10063361 (base 7) to base 3\nAnswer: 1120122010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**0\/f)\/f**(-2\/13))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3\/8 - 963*o**2\/8 - 4023*o\/2 - 7077\/2.\nAnswer: 3*(o - 337)*(o + 2)*(o + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/7 + 167*q**2\/7 - 129845*q\/7 - 18573.\nAnswer: (q - 287)*(q + 1)*(q + 453)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 25*g**2 + 29945*g - 156. Determine j(-161).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 122*i + 624. What is the remainder when s(-5) is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 4*p + 2*s + 2, -3*p - 5*s + 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -13*c + 5. Let a(l) = -72*l + 28. Let z(d) = -5*a(d) + 28*y(d). Let m(r) be the third derivative of r**5\/30 - r**2. Calculate m(z(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -435 + 434.5. Which is the second smallest value?  (a) q  (b) -0.05  (c) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3)*y\/y**(-8))\/(y\/(((y**(-2\/3)*y)\/y)\/y)*y**(2\/5)) assuming y is positive.\nAnswer: y**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1915\/2 + -958. Which is the closest to 0.1?  (a) o  (b) -0.2  (c) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 0*p + 2*p)*(-6*p + 27*p + 27*p) + (0 + 0 - 2*p**2)*(2 - 3 - 1) - 2 - p**2 + 2.\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/3*14\/21*-27. Suppose -1843 = -b*x + 5*x. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 1)*(2086*g**2 + 22*g**2 - 6253 + 6253) as k*g**2 + r*g + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 5*v - 8. Suppose -2 = 3*b - 14. What is the smallest common multiple of b and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*p = 468. Let b = p + 174. What is b rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8656123 minus -0.2?\nAnswer: -8656122.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2. Let i(q) = q - 1. Let m(y) = -3*y**3 - 2*y - 1. Let z be m(-1). Let p(n) = -4 + 2*n - n + 2*n. Let c(u) = z*i(u) - p(u). Calculate v(c(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*j + 0)*(4 + 5 - 2)*(40 + 10 - 13) as a + v*j and give v.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011110 - 1011001111100100?\nAnswer: -1011010100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (196 - 196 + 10*j)*(-28022 - 95*j + 28022) as o*j**2 + i + h*j and give o.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257622?\nAnswer: 2, 3, 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2983 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + 24526453?\nAnswer: 24526446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + 5*j**2 + 7*j + 4. Let o(l) = -l**3 + 17*l**2 + l - 21. Let s be o(17). What is h(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -14*j + 15. Calculate f(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27894*t**3*x**2 - 2*t**3*x + 22663*t**2*x + x**2 wrt x.\nAnswer: 55788*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328 is divided by 137.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 920185?\nAnswer: 5, 7, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*a - 78*a + 14*a + 11*a + 17*a + 13*a + 5*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -107?  (a) 3  (b) -0.4  (c) -0.48  (d) 2  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -53583704 and -466862?\nAnswer: 53116842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 780951 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 + -23. Let j = -16 + 11. Sort x, -2\/7, j in ascending order.\nAnswer: j, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 3\/19  (c) -14  (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/55*(-30)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m. Let v(f) = 18*f**2 + 5. Let l(u) = -9*u**2 - 2. Let s(z) = -5*l(z) - 2*v(z). Give s(c(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1081 (base 15) to base 12\nAnswer: -2034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3*v - n - 10, 5*v - 4*n = 8. Factor -1\/2*u**2 - 3\/4*u**3 + 0*u + v + 0*u**4 + 1\/4*u**5.\nAnswer: u**2*(u - 2)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of -z**5\/210 - 5*z**4\/14 - 29*z**3\/21 - 23*z**2 - 2. Determine y so that q(y) = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -166 + 171. Solve -4*r - r = -s*w, 5*w - 3*r = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4018 = 9*q - 4108 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 18. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 169 + -157. Let z be m + (-145)\/15 - 2\/6. Solve -5*q + 33 + 7 = 3*u, u + 5 = z*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1081589.\nAnswer: 79, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 9.6. What is the nearest to -2\/3 in 2, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/2 - (-4)\/8. Suppose 4*p = -5*u + u + r, 0 = -p + 2. Let d be 1\/8*1*-2. Which is the nearest to 0.1?  (a) u  (b) d  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21201 + 12210?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1190787 is divided by 796.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -16. Let n = -9 + k. Solve -u + n*u = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 57422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21765 or 21222?\nAnswer: 21765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4160*w - 3 - 2296*w - 74*w**3 - 1864*w.\nAnswer: -74*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n + 132 + 10439 = 0. Let j = -959 - n. Suppose -1\/5*u**j - 4\/5 + 4\/5*u = 0. Calculate u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 605?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*w - 3*g = 26*w + 8, 5*g = -4*w - 38. Is w > -44\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.3 - 1. Let y = 0.3 + 4.7. Put y, m, 2\/13 in descending order.\nAnswer: y, m, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3004 + -2947. Calculate the greatest common factor of z and 6099.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3\/8, 4, -1\/5, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 0.8, -71\/11?\nAnswer: -71\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 478*g**2. Let q(i) be the third derivative of i**5\/60 - 625*i**2. Calculate k(q(b)).\nAnswer: 478*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 255, 963, 2125, 3741, 5811, 8335?\n\"Answer: 227*v**2 + 27*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a + 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 9 = 10*b. Suppose 3*m = 5*y - 343, -3*y + b*m - 4*m + 202 = 0. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 28 - 9\/(9\/(-4)). Suppose u - b = 4. Calculate the least common multiple of u and 14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -1\/17  (b) -28  (c) 310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -37583457.39 to the nearest 100000.\nAnswer: -37600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-8)\/((-20)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 38\/1140*(-10)\/(-4). Which is greater: c or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 104 - 194 - 450*w**2 + 4*w - 724*w**2 + 103 wrt w.\nAnswer: -2348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/8)\/(w**0\/w))\/((w**18*w)\/w**(-2\/11)) assuming w is positive.\nAnswer: w**(-1567\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10457\/9872 - 2\/617. Let r = w - -189\/208. Let b = -14 + 10. What is the nearest to 2\/3 in r, b, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/5)\/(20\/(-30))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y**2. Suppose 4 = -2*u + 4*u + 5*m, -3*m = 0. Suppose 0*s - u = -s. Let p(x) = 2 - 4 + 2 - 2*x**s. Determine p(v(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000006578938 to seven decimal places.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/15 + 34*h**2\/5 + 212*h\/15.\nAnswer: -2*h*(h - 53)*(h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -586 and -0.0878.\nAnswer: 51.4508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, 659158, 1, 2\/3, -4.\nAnswer: -4, 0.5, 2\/3, 1, 3, 659158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.1296 times 0.23\nAnswer: -0.029808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5.97  (b) 4  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b - 5. Let s(w) = w. Determine -r(a) + 5*s(a).\nAnswer: -2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 20 = -32. Let h(w) = -w**3 + 14*w**2 - 14*w + 14. Calculate h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.4, 12, 38, -0.021, -3\/7, 11?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (2 + -5)) + -3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7857971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63669717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6638621, -26554463, -59747531, -106217825?\nAnswer: -165965345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 6025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/((-351)\/52 + (-3 - -11) + -2). Solve 2*i - 10 = x*m, 0 = -7*m + 2*m - 4*i - 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 43\/1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2731 - ((-48)\/14 + (-165)\/(-385))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.2 in 2\/15, -2, 1, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = -5*t - 2*j, 2*t - 19 = -0*t - 5*j. Let a be 15 - (0 - 6\/(-2)). Suppose -t*n = -14*n - a. Solve 6 = -2*f + 2*p - 0*p, f = n*p - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -2*m + 1673, 0*c = -5*c + 15. Let u = m - 476. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6967.3 + -6970. What is the second smallest value in -7, 0.1, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4552.82 + -4709. Let l = 158 + i. Round l to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**2\/3 + 335*g\/3 - 2772 = 0.\nAnswer: 27, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -9, -349, 9, 5, 4 in increasing order.\nAnswer: -349, -9, 4, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24, -39, -42, -33, -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (112\/(-140))\/(((-8)\/(-7))\/(-2))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0103797959 rounded to six decimal places?\nAnswer: -0.01038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 11:03 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70240 + 130372. What are the prime factors of g?\nAnswer: 2, 3, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y - 5*y**2 - 187*y**2 - 254*y**2 - 403*y**2.\nAnswer: -849*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 4*p + 15. Let w(v) = 217020*v. Determine w(s(m)).\nAnswer: 868080*m + 3255300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = -0*k - 5*k. Suppose 1 - k = -2*c. Suppose -84 = -4*l - 4*p, 0 = -5*p + 18 - c. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 185931217 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2. Let w(f) = -77*f**2 - 71*f**2 - 24 + 150*f**2. Determine v(w(x)).\nAnswer: -4*x**4 + 96*x**2 - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -70 + 69.42. Let w = 0.6 + y. Is -0.1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 + -16. Suppose -6*r = 1 - 31. Let u = r + g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 2\/15*q**6 + 90 - 24\/25*q**5 - 18\/5*q**2 + 0*q - 24\/5*q**4 - 104\/15*q**3. Determine p, given that f(p) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 68191845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 - 18 = -6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*c - 574 - 262. Find the second derivative of -42*f**5 + 1 - c*f**5 + 73*f**5 - 10*f wrt f.\nAnswer: -900*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5990 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 7:36 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u = -6*u - 102. What is the remainder when 66 is divided by u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*s**2 + 16*s**2 - 2*s + 18*s**2 - 94*s**3.\nAnswer: -94*s**3 - 9*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 0*o - o + 5*o. Let h(w) be the third derivative of 0 + 0*w - w**2 + 1\/12*w**4 + 0*w**3. Give h(p(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146*q = 25*q + 363. Let h(m) be the second derivative of -5\/12*m**4 + 0*m**2 + 0 + 1\/6*m**6 - 1\/4*m**5 + 5\/6*m**q - 6*m. Factor h(b).\nAnswer: 5*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -2. Let k(j) = -1 - 4*j + 1 + n*j. Let w(u) = -4*u. Determine k(w(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -27193 and -0.0689?\nAnswer: 1873.5977","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4598971 is divided by 383.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 6*d - 6. Let w be z(4). Let m(c) = 5*c**2 - c**w - 2*c**2 - 2 + 1 + 2*c. Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**3 + 15794148*j**2 - 31181904674880*j + 62363746173184 = 0?\nAnswer: 2, 3948536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + 0. Let d = p - 14. List the prime factors of 5\/(d\/(-4))*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 + 7*s - 1 - 6*s in the form a*s + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*p**2 + p - 35*p**2 + 4*p in the form v*p + a + r*p**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9975 and 1624.\nAnswer: 2314200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -85\/12, 25, 1.1, 0.24?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -152 - -3665?\nAnswer: 3513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 571120912?\nAnswer: 2, 23, 1551959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u - 13. Let t be o(-27). Calculate the greatest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(441)\/(sqrt(21)\/sqrt(3)))\/(sqrt(9) + ((-2*sqrt(324) - sqrt(324)) + sqrt(324) - sqrt(324))).\nAnswer: -sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 8*u**5\/23 - 250*u**4\/23 - 1096*u**3\/23 + 37418*u**2\/23 - 101080*u\/23 + 65000\/23 = 0.\nAnswer: -13, 1, 2, 10, 125\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/134724 and 33\/68.\nAnswer: 2290308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 41472787?\nAnswer: -1\/41472787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/8 + (-21)\/(-12). Suppose 0 = 2*a - a - 1, 5*a + 11 = 4*j. Suppose 2*n = j + h. Let x(g) = -g**3 + 5*g**2 - 3*g + 2. What is x(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 357*z**5 + 10*z**4 + 1777*z.\nAnswer: 7140*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -44, -52, -48, -26, 20, 96?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n - 3. Let h be b(6). Suppose -h*l + 1 = -17. Let y(a) = -3*a**2 - 17*a + 13. Let c(d) = 2*d**2 + 9*d - 7. Let t(u) = 5*c(u) + 3*y(u). Give t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -1\/3*q**4 - 1\/60*q**5 - 8\/3*q**3 - 4*q**2 + 0*q + 0. Factor h(u).\nAnswer: -(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q - 3. Let c be i(0). Let k(t) = -21*t**2 + 2. Let u(w) = -7*w**2 + 1. Let r(x) = c*k(x) + 8*u(x). What is the first derivative of r(b) wrt b?\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 4*c - 2. Let r be o(-1). What is the units digit of 196\/6 - (-4)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - sqrt(1088)*-2)**2 - (sqrt(51)\/sqrt(3))**2*-2 - (sqrt(1377) + -2 - ((sqrt(51) + sqrt(51)*2)\/sqrt(3))**2).\nAnswer: -9*sqrt(17) + 5102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 27 - 23*a - 30*a + 79*a - 25*a as m + d*a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1382729 and 0.87?\nAnswer: 1202974.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 0.024?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2. Let v(y) be the second derivative of -y**4\/12 - 6*y. Give s(v(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -96*f + 4921. Calculate j(29).\nAnswer: 2137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -124 + 295. Let g = i + -71. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57, -81, -129, -213, -345?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 97.93451 + -98.08450963. Let c = n - -0.15. Round c to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 296695.529 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*f - 4*f + 70*f = -5922 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.9695 rounded to 1 decimal place?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1030462580 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 5*h - 3*i - 39, 5*i = 4*h - 56. Suppose -37 = -s - 4*f, -s + 3*f + 47 = 2*f. Calculate the greatest common divisor of s and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 32\/3  (b) -0.7  (c) -2  (d) -0.01  (e) 8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-2)*-22*(-57)\/(-627).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 10 = -14. Let u = -3982 + 3997. Let f(v) = 3*v - 5. Let h(y) = -y + 2. Calculate o*f(q) + u*h(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1445 - -1.8555. Let l be ((-1)\/4 - 0) + 0. What is the nearest to c in 1\/7, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d - 183 + 183.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 379\/70 + -57\/10. Let f = 17\/18 + -10\/9. Let w = -3 - -5. Which is the third biggest value?  (a) f  (b) w  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31227.\nAnswer: 3, 7, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.006 and -2.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 301920 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006883 to four dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - 17. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63758173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f**2*g*k**3*r + 11*f**2*g*k**2*r + f**2*g*k*r + 8*f**2*k*r - 55*f*g*k**3*r - f*k*r - 35*g*k**3 - 5*g*r wrt k?\nAnswer: 6*f**2*g*r - 330*f*g*r - 210*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.5 - -0.5. Let a be (-19)\/44 - (-2)\/8. Let d = -16.4 + 17.4. What is the second biggest value in n, a, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1510 is divided by (3 - (-120)\/(-44)) + 7119\/33?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 8:36 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11041759.\nAnswer: 1987, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.911 + 89.511. Let x = 89 - q. Which is the second smallest value?  (a) -2  (b) -0.23  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.27?  (a) 7  (b) 4  (c) -0.0784  (d) 5  (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + p - 7 = -d, 0 = 4*d + 4*p - 12. Is -53 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*q - 28. Let d(n) = -5*n. Let t(w) be the first derivative of w**2 + 1. Determine q*t(a) + 3*d(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (84 + -96 + 9 + 1 + 15) - 55.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*m - 3*n - 32, -m - 8 = n. Let o = -4 - m. Suppose -19 = -o*h + z, -5*h + 0*h + 3*z + 29 = 0. Solve -5*u + k = -30, -4*k = -h*u + u + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - b**2 - 42*b. Let j be i(7). Put 99, 4, j in descending order.\nAnswer: 99, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35*m**3*s**2 + m**3*s + 713*m**3 - 1654*m**2*s**2 - 53*m**2*s - 2*m - s**3 + s**2 wrt s.\nAnswer: 70*m**3 - 3308*m**2 - 6*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12222022110012 - 21?\nAnswer: -12222022110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -3*t + 198, 7*t + 302 = 5*v + 5*t. Let s = v - -57. List the prime factors of s.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4992791 and 1349?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 51891969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16 + 193760\/(-12500) + (-1)\/2. Are 0 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(6*6\/432). Let o be (r\/(-32))\/(6\/(-40)). Sort 14, 3, o in increasing order.\nAnswer: 3, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -0 - 18. Is 2513\/42 + 1\/w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 787 - 979 = 6*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7404.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 34623 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g - 20. Let l be -1*12 + (7 - 7). Let m be h(l). What is the units digit of (3 + m + -2)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-6)*(-12)\/(-21). Let z = 2 - 5. Put 4, m, z in decreasing order.\nAnswer: 4, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10031 - -123?\nAnswer: 10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2092 a factor of 174225944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 825.4 + -829.4. Put 0.023, b, 2\/19 in descending order.\nAnswer: 2\/19, 0.023, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -8*l + 3*l. Suppose 3*y = -l*v + 15, 0*v = -3*y + v + 7. Calculate the smallest common multiple of y and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/6 in 5\/2, 5, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 44*q**2 + 597*q - 5127. Give c(8).\nAnswer: 2465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 5) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/(-72))\/((-18)\/(-54)))\/(12\/80)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*f - 5 = 11*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6797, 13110, 19423?\nAnswer: 25736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**5\/60 - 83*z**4\/12 + 6889*z**3\/6 + 2*z**2 + 126. Find r, given that t(r) = 0.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 3*a**2 + a - 1. Let r be j(1). Solve 4*z - 1 - r = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159342?\nAnswer: 2, 3, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -2*q**5 + q**3 + 86*q + 74. What is the first derivative of h(x) wrt x?\nAnswer: -40*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33\/119452 or 0?\nAnswer: 33\/119452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564154793.\nAnswer: 41, 103, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = x + 192. Let q be 0\/(1\/1) - ((-3740)\/34 + 46). Calculate the highest common factor of x and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 11:08 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, h: 2, d: 1, m: 2, j: 1, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 224*i**4 - 11*i**3 + 131*i**2*n + i**2 - i*n - 219182*n - 1 wrt i.\nAnswer: 2688*i**2 - 66*i + 262*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 669 or 6013\/9?\nAnswer: 669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is u in u**2\/2 - 2273*u\/2 + 645351 = 0?\nAnswer: 1106, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 4*x**2 - 6*x - 7. Give k(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -104*i**4 + 4*i**3 + 8*i + 19921.\nAnswer: -416*i**3 + 12*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + u - 4*m - 8 = 0, 5*u + m = -13. Let p be 1*u\/(-8)*1. Let y(w) = -3*w + 8. Let n be y(3). Which is the closest to n?  (a) -0.3  (b) 1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)*-1 + sqrt(102))\/sqrt(6) + (-1 + sqrt(17) + 0)**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -3*k - 5, k - 5*j + 8 + 7 = 0. Let s(w) = -70*w + 2. Let r be s(0). Solve -15 = k*c - r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*i + 10 = 37*i + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 12:31 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/1081 or 0?\nAnswer: -5\/1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l + 2*l - 3*l)*(-2 + 4 - 1)*(4*l**2 + 0*l**2 + 4*l**2) + (1 + 0 - 10)*(-2*l**3 + 0*l**3 + 0*l**3) in the form j + p*l**3 + f*l + x*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3764?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**7\/315 + y**6\/180 + y**5\/90 - y**4\/36 - 2*y**2. Suppose g(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*s + i, -5*s + 5*i + 5 = -5. Suppose -2*t - l + 10 = s, -l + 4 = -3*l. Solve t*h - 2*h = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 661 - 661 - 12*q to the form x*q + d and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 5) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -353*m**3\/3 - m**2\/2 + 411*m - 128. Differentiate o(x) wrt x.\nAnswer: -706*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q**2. Let j(o) = -126*o. Give k(j(u)).\nAnswer: 31752*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -120 + 122. Which is the nearest to w?  (a) 3  (b) -0.5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 - 12*i + 6. Let c(p) = p. Let z(o) = -6*c(o) - y(o). Suppose 5*n = -17 + 42. Let k be z(n). Is -1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-8 - 2277\/(-135))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.652686 centuries to decades.\nAnswer: 56.52686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 40*74\/740*(-30)\/25\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**19)**(-2\/5)\/(v**(-16)\/((v\/(v\/(v*v\/(((v\/(v*v\/v**1))\/v)\/v)))*v*v)\/v*v*v)))**(-9\/11) assuming v is positive.\nAnswer: v**(-1359\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u - 3. Let y(h) = -9*h - 9. Let r(i) be the second derivative of 5*i**3\/6 + 2*i**2 + 2*i. Let s(z) = -5*r(z) - 3*y(z). Give -4*s(o) - 9*w(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2 + sqrt(99) + 1*sqrt(99))**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 354595026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7547, 2\/15, 10 in increasing order.\nAnswer: 2\/15, 10, 7547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*s + 12 = 170*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 24*m**2 - 84*m + 64. Does 8 divide j(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15178*n - 489873 - 166897 - 104750 = 225050 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 5*u + 32, 0 = u + 6*v - v + 24. Sort u, -5, 1, -1 in decreasing order.\nAnswer: 1, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -3, 3\/2, -1\/5, -2, -4\/261.\nAnswer: -3, -2, -1\/5, -4\/261, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 3*c**2 + 14*c - 39. Let x be b(3). Let n(v) = 18699*v - 8*v**2 + 1 - v**2 - 18710*v + v**x. Give n(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5728 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of -z**9\/1512 - z**5\/15 - z**4\/2 + 4*z**2. Let c(h) be the second derivative of g(h). What is the derivative of c(t) wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n + 2*n**2 - n**2 + 3 + n. Suppose -5*j + 2*j - 3 = -3*a, -5 = 4*a + 5*j. Does 2 divide f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 divided by 1571.\nAnswer: -65\/1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 + 5*z + 9. Let k be x(7). Suppose -3*o = -2*o + w - 2, -3*w = -15. Put -4, o, k in decreasing order.\nAnswer: o, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -168 + 170. Suppose 3*s + 22 = 2*q - 1, -3*q + 22 = -w*s. Solve -2*o + q = 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, 2, -8, -36, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c - 1. Suppose t - 14 = -16. Give m(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 39216 and 7285.\nAnswer: 285688560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 - 1)*(-4*w**3 + 4*w**3 + 5*w**3)*(-1 + 6 - 3)*(0 + 0 - 1).\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1111111001 (base 3) in base 13?\nAnswer: -10582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*f - 284 + 539 = 0. Solve f*r - 577 = -562 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 5 - (2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -5*f**4\/6 - 3*f**3\/2 - 5*f**2 + 5*f. Let h be a(-10). Let s = 550 + h. What is s rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 5*g + 1. Let f(c) = 2*c. Suppose 0 = -3*k - m + 19, 3*k - 1 = -5*m - 2. Suppose 4 = -2*v - k. Calculate v*f(d) + 2*y(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 4 = 0, -40*z = -38*z + 5*m - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 177465 - -374?\nAnswer: 200061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -413*h + 1334*h + 9101 = 66203 for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -14) + (1 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*h + 583 = -454 - 339 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 54212, 54175, 54136, 54095, 54052?\n\"Answer: -k**2 - 34*k + 54247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.10533 - 0.10530189. Round s to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/3897 and 23\/2165?\nAnswer: 19485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*c = -1923 + 933 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2835 divided by 7\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 9375180.\nAnswer: 1\/2343795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57*a*z**5 + 37*a*z**4 - 17*a*z**3 - 37*a*z**2 - 47*a*z - 21*z**2 + 4 wrt z.\nAnswer: 3420*a*z**2 + 888*a*z - 102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.302 - 0.30198275. What is v rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -159987.68 + 164281?\nAnswer: 4293.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + d**2 + d. Let g(l) = -3*l**3 + 9*l**2 - 17*l + 8. Let f(h) = -2*g(h) - 2*s(h). Factor f(m).\nAnswer: 4*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -156 - -83. Let j = t + 75. Suppose -6*p = j*l - 2*p - 260, 0 = 2*l - 4*p - 284. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25.3 + 25. Let p = 221\/3 + -73. Put b, 0.1, p in decreasing order.\nAnswer: p, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -54*16\/(-288) - (-20)\/(-24)*3. Factor 1\/2*r**5 + 0 + 0*r - 2*r**2 + 2*r**4 - h*r**3.\nAnswer: r**2*(r - 1)*(r + 1)*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 90486651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 64891 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k**2 + 102*k**3 - 3*k**2 + 2253*k**3 + 0 + 4*k**2 - 2.\nAnswer: 2355*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of 19*j**5\/2 + j**4\/4 + 83*j**2\/2 + 5*j + 118. What is the third derivative of m(s) wrt s?\nAnswer: 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26490 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 5, 218 in decreasing order.\nAnswer: 218, 5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 744 is divided by 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 430, 426, 422, 418, 414, 410?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6040038581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*f**4 + 4*f**2 + f - 4*f**4 - 12*f**2)*(2 + 1 - 5) to l*f + y*f**4 + h*f**2 + k*f**3 + z and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.3, -9 in descending order.\nAnswer: 3, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 5:33 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.30313 to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -842338 or -842337?\nAnswer: -842337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2262\/5, -5\/22, 0.9 in decreasing order.\nAnswer: 0.9, -5\/22, -2262\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 7:46 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 - -0.3. Let x = 476.7 - 477. Which is the third biggest value?  (a) k  (b) x  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87471565 - 87471565 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13.8?  (a) -2\/3  (b) 780\/11  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2121121 + 22012221110?\nAnswer: 22010022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5.2  (b) 0  (c) 0.4  (d) 0.5  (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, c: 2, x: 1, m: 2, a: 1, p: 1}. Give prob of picking 1 x, 1 a, 1 i, and 1 m.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 12*a**3 + 12*a**3 + 4*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3 + 1836*t**2 - 1864*t - 11040.\nAnswer: 4*(t - 3)*(t + 2)*(t + 460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -131, 3, 5, 0.2, -6 in increasing order.\nAnswer: -131, -6, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 111 = 35. Calculate the remainder when 185 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11869 is divided by 1079.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 12*s**2 - 40*s - 28. Let j be y(-7). What is the greatest common divisor of j and 898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125 - 2.772\nAnswer: 122.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15495*w + 7254 = 15774*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/345 or 13.81757?\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23994 + -23931. Solve 2*w - 4*r = -6, q*r - 12 = 4*w + 64*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.8310605 to three decimal places.\nAnswer: -7.831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 4*d + 470 = 3*o, 4*d + 4*o + 456 = 0. Let j be 2*(-3)\/(-4)*d\/6. Is -28 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/15, 53, -5, 15677, -1\/2 in descending order.\nAnswer: 15677, 53, 2\/15, -1\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1317*b - 36 = -1320*b. What are the prime factors of (6\/(b\/(-310)))\/(2\/(-8))?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 8:57 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttve when four letters picked without replacement from tpttevet?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + r + 60 = 0, -6*r = -r. Suppose -u = -4*g - 11. Let c(m) = 43*m - 1. Is 14 a factor of c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -52\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 120\/(-18)*17\/(-1105)*13*9\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -52*z - 6. Give s(3).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-2))\/((-18)\/48). Solve -i*m - 9 = 5*w + 6, 12 = -4*w - 5*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 11*n**2 + 154*n + 388. Give h(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -44 - -30 - (-25 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16\/5, 0.189, -34 in increasing order.\nAnswer: -34, -16\/5, 0.189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1665736928 to the power of 1\/2, to the nearest integer?\nAnswer: 40813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -10. Suppose 140 = 5*r - 5*a, -t*r - 3*a = -5*a - 79. Suppose -5*b = -8 + r. What is the biggest value in -0.3, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 693.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -5596*f - 369315. Give s(-66).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 plus -59994148?\nAnswer: -59994141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 1799*k + 405007. Let a(x) = -2*x**2 - x + 7. Let g(l) = 2*a(l) - 2*f(l). Factor g(p).\nAnswer: -4*(p + 450)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 3*k - 5 - 0, 4 = -4*l. Suppose 5 = r, 5*v - 5*r - 21 = -k. Solve -3*h = s + 2, -4*h + s = -0*s - v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of b**4\/6 - 3*b**2\/2 - 59*b + 2. Let d be o(-1). Is d > -5\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -9*c**2 + 36*c - 5. Let t be o(4). Put t, 4, 10, -11 in descending order.\nAnswer: 10, 4, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-128)\/(-60) + (-2)\/15. Suppose f*y = -2*y + 3*z + 3, -z = -3*y + 1. Suppose -14 = -r - y*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1383091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 7*m**2 + 22*m + 4. Let s(d) = 9*d**2 + 34*d. Let h(x) = -9*x**2 - 32*x - 1. Let b(n) = -5*h(n) - 4*s(n). Let p(j) = 4*b(j) - 5*y(j). Determine p(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 509641217 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 - (-5 - (-16 - -11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 227*p**4 - 54*p**4 + 265*p**4 + (1 - 1 - 2*p)*(2*p**3 + p - p).\nAnswer: 434*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6.68 in 72, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3124 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 168\/36*9\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -32, -34, -36?\n\"Answer: -2*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -29206, -58410, -87614, -116818, -146022, -175226?\n\"Answer: -29204*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 23 + 136 = 4*n, -n + 4*v = -12. Let p = n + -16. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/((f**(9\/2)\/f)\/f))\/f*f)\/(f\/(f**(-8)*f)*f))**43\/(f\/f**(-2)*f\/(f\/f**9)*(f\/f**(1\/2))**(-9\/2)) assuming f is positive.\nAnswer: f**(-1845\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of -t**4\/12 - 2*t**3\/3 + t**2. Let h be x(-4). Suppose -p + 5 = h*b + 2*p, 0 = -5*p - 5. Solve -i + 3*i = -b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 692176?\nAnswer: 2, 43261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/4 + 39*b**2\/4 - 42*b + 43.\nAnswer: (b - 2)**2*(b + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (27\/15)\/(-7 + (-190)\/(-25)). Factor -8\/3*o - 16\/9 - 2\/9*o**f - 4\/3*o**2.\nAnswer: -2*(o + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2737?  (a) 7  (b) 4  (c) 0.2  (d) -2  (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*b = 0. Suppose 0 = -b*i + 4*i + 3*h - 257, -5*i + 325 = 5*h. Let v = i + -312\/5. What is the biggest value in v, -0.2, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.5 + 0.5. Let z be 15*1*2\/6. Which is the closest to d?  (a) z  (b) 3  (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 123\/6*192\/11. Let a = 5705\/22 - j. Let u = -2565\/26 - a. What is the third biggest value in u, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -2, 11, -67 in decreasing order.\nAnswer: 11, 4, 1, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1155 = -7*g + 28*g. Let m(k) = -k - 1. Let b be m(-1). Suppose 5*d = -2*j + 33 + g, 2*d + j - 36 = b. Solve 3*p - d = 5*p + 5*y, 3*y = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -63, -94, -123, -150, -175, -198, -219?\n\"Answer: g**2 - 34*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/4*(-18 - 198). Suppose -10*o + b = -312. Calculate the highest common factor of o and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 2 = -l. Solve 0 = -2*g + 15 - l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y**3 + y**2 - 2*y - 9. Let q(w) = -2*w**3 - w - 4. Calculate 2*i(p) - 5*q(p).\nAnswer: 4*p**3 + 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 1582310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1268*u - 448*u - 569*u - 2 + 1955*u.\nAnswer: 2206*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*h**3 - 56*h**3 + 105*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 113*x + 265. Let m(z) = -170*z - 398. Let n(g) = -5*m(g) - 8*s(g). Let y be n(-5). Calculate the greatest common divisor of 40 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 14 = -38. Solve -x + p*x = 0, -w = x - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 172 - 78 - 74 - 24*r as f + t*r and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45125 and 1375?\nAnswer: 496375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -48.8 - -49. Let c = 125\/3 - 42. What is the closest to 0 in -0.5, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x**2. Let g be ((-30)\/(-16))\/(162\/36). Let a(f) be the second derivative of 0*f**3 + 0*f**2 + 0 + 9*f + g*f**4. Calculate h(a(q)).\nAnswer: 75*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 133 = -15*q. What is the second derivative of -q*i**2 + 9*i**3 - 41*i - 6*i**3 - 2*i**3 + 26*i**2 wrt i?\nAnswer: 6*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.16?  (a) -58  (b) 0.1  (c) 1  (d) 0.8  (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 139234 + -87258. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.45 take away -262?\nAnswer: 262.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 5*q + (5 - 5 + 3*q)*(2 + 3 - 4) + (3 - 6 + 1)*(-2*q + 4*q + 0*q) + 2*q + q - 5*q to w + r*q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-3495)*(-30)\/12*(-62)\/(-589)*-38?\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 2*q + 29. Let r = q - -36. Let a be ((-4)\/7)\/(2\/r). Put 5, -3, a in descending order.\nAnswer: 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 627*y = 633*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -6*s**2 + 6*s - 14. Let n(r) = 5*r**2 - 6*r + 13. Let u(g) = -5*n(g) - 4*z(g). Suppose u(o) = 0. What is o?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10525123 divided by 1.\nAnswer: -10525123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2031 (base 4) to base 9.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 526424, 1051662, 1576900, 2102138, 2627376, 3152614?\nAnswer: 3677852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-3)\/((j*j**(1\/2))\/j)*(j*(j**(1\/2)*j)\/j)**(11\/4)*j**(-2\/3)*j**(-2\/5)*j**(-3\/7)\/(j**(-4)*j) assuming j is positive.\nAnswer: j**(1789\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2760 and 1587?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 17*u**2 - 9. Calculate q(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 27*h + 2538. What are the prime factors of o(-19)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiid when four letters picked without replacement from {d: 3, i: 7, e: 2}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i. Let y(v) be the first derivative of -v**2 - 3*v + 33. Determine 3*x(w) - y(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -12. Let g be t\/3 + (-1)\/3. Let x(q) = g*q**2 + 0*q + 0*q. Let m(h) = -5*h. What is x(m(y))?\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*s**5*y + 332*s**4*y**2 + 5*s*y**2 - 3*s - 62*y**2 - y wrt s?\nAnswer: 100*s**3*y + 3984*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 6187.\nAnswer: 55683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-550)\/220)\/(2\/12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -b1 (base 14) in base 15?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 42126761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*y**2 + 15*y + 12*y + 4*y + 35*y - 66*y + 2.\nAnswer: 8*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*x - 2. Let y = 0 - x. Let d be 1 + 3\/y*1. Solve d = -m + 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*0*11\/(-44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.13 in 0.3, 0.1, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 6 + 3)*(-4*w + 5*w + 0*w) - 3*w - w + 3*w - 4*w - 3*w + 4*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/771090 and -3\/1413665.\nAnswer: 8481990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 126962*k**2*l**5 + 23*k**2 + 4*k*l**5 - 108871*k*l wrt l.\nAnswer: 2539240*k**2*l**3 + 80*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ipjd when four letters picked without replacement from jydipipiyyij?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 54729 (base 11) to base 14\nAnswer: 20d1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 7*z + 9. Let q(s) = -s + 1. Let p(v) = -h(v) - 6*q(v). Suppose 3*r - 15 = 6*n - n, -4*n - 5*r = -25. Give p(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 30*((-7)\/70)\/((-2)\/8). Solve 4*i + 8 = -r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2811, 2745, 2631, 2469, 2259?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10526632 to the power of 1\/2, to the nearest integer?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3191672 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -965127149.07 - 5\nAnswer: -965127154.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4082927687 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 7228067 is divided by 787?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 2*z + 20 = 0, 28046*t - 28030*t - 2*z - 150 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(3 - 3 - j)*(4 + 7 - 10).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 10*j = 12. Suppose -5*p - 4*b = -139, -p + 30 = -0*b + j*b. Solve -x + p = -3*d + 2*x, 4*d = -3*x - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 91*v - 51 - 35*v - 38*v - 48*v. Let d be (0 - 0 - 1)*7. Calculate the remainder when i(d) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -0.07, 7\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**2 - 4*g**2 + 4*g**2 + (2 - 3 + 0)*(4*g**2 - 9*g + 9*g)*(2 + 6 + 1) in the form r*g**2 + o*g + i and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -212223011 (base 4) to base 15\nAnswer: -31e05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -27*t**2. Let h(u) = -133*u**2. Calculate h(f(k)).\nAnswer: -96957*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 13*t + 14. Let x be l(14). Suppose 2*u = 4*m - 12, -2*m + m - 2*u + 8 = x. Suppose 0 = -m*j - 0 + 16. Sort j, -12, 2.\nAnswer: -12, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2 - 2*u**2 + 5*u**2 + 10 + 9*u. Let p be g(-8). What is the third derivative of p*c**5 - 2*c**2 - 2*c**5 + c**5 + 8*c**2 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 10:32 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2359806 is divided by 419.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1110965 or -1110967?\nAnswer: -1110967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3409\/2 + -15371\/9. What is the common denominator of -37\/16 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -232, 13*y - 2417 - 2148 = 4*m - 3799 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 7:27 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1141289879.\nAnswer: 1667, 684637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1425998171 to the power of 1\/2, to the nearest integer?\nAnswer: 37762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8296025009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 3*g**2 + 2*g + 2. Let u = 108 + -105. Give y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t. Suppose 3*h - 8 + 50 = -3*c, -37 = 2*c + 5*h. Let v(k) = -2 + 4 + 9 - 4*k**2. Let b(n) = -n**2 + 2. Let j(y) = c*b(y) + 2*v(y). What is j(z(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**2 - 3*h. Let u be f(2). Let i = 11 - 10. Let v be (-1)\/1 + -3 + i. Which is the closest to 1?  (a) v  (b) u  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7852 = -180*i - 102*i - 20*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 35 - 20 - (4 + -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 15 + 9 - 3 - 18*s - 7 + 9*s - s**2. What is a(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 311?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -7*b + 36. Suppose 33*p - 117 - 81 = 0. Give c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2781 - 85.2719. Let n = a + 83. Let z = n + 2.55000262. Round z to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + a = 6, 5*h = a + a + 6. Suppose -m + 15 = h*m. Solve 0*k + 15 = m*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*q + q + 2*q - q**5 + (35*q**3 - 4*q**4 - 35*q**3)*(-4*q + 4*q - 2*q).\nAnswer: 7*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -67 + -23?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 2*j + 210, 2*j = 3*w + 3*j - 150. Calculate the remainder when w is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 + 4*a + 1. Let z be (3\/9)\/((-3)\/45). Let t(d) = 2*d**2 + 9*d + 2. Let h(k) = z*v(k) + 2*t(k). Let b be h(-1). Is 5\/6 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-11 - 11) + 4 - -6) + (7 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3641088\/224 + (-1)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50*f - 7*f - 1 - 12*f + 10 - 10 - 2*f + 3*f - f - f + (4 - 2*f - 4)*(-1 + 1 - 1) - f + 0*f + 2*f to the form d + c*f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1817626*b**2 + 4152027*b wrt b?\nAnswer: -3635252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 90228.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 - -39. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**4 - m**3 + m. Let l(q) = 14*q**4 + 2*q**3 - 2*q - 25. Let i(g) = -l(g) - 2*o(g). Differentiate i(k) with respect to k.\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*h + 3*u, -5*h + 4*u - u = -33. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7)\/(-2 + -1 - -2). Suppose 3*x + j = -j + 52, 33 = 2*x + j. What is the highest common divisor of x and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264719134.\nAnswer: 2, 19, 29, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 284023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from gooog?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 10*l**3 + l**2 - 2*l + 1. Let y = -3 - -4. Suppose u + 2*u = 12. What is the remainder when t(y) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9 - -0.8. Let h = 268 - 1877\/7. Which is the nearest to -0.1?  (a) 3  (b) n  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 103*m. Let c(y) = -52*y. Determine 11*c(w) + 6*k(w).\nAnswer: 46*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 7*o + 5. Let b be g(-6). Let x be 1 + 0 + (1 - b). Suppose 0 = -5*t + 7 + x. Solve -n + 9 = t*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.271066971 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 25920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -100 - 60. Let a = l + 287. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of i**6\/120 - i**5\/10 + i**4\/4 - i**3\/3 - 11*i**2. Let n be 3 + (1 - 0) - -1. Calculate l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 1 - 7. Solve 4 = r*k + 3*o + 1, -4*o = -2*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23.6 - 24. Let t = 65.9 + -64.1. What is the smallest value in a, -3\/5, t, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-4)\/2)\/(-2))\/(-5). Let j(l) be the third derivative of -l**5\/60 - l**4\/6 + 5*l**3\/6 + 8*l**2. Let p be j(-5). Is s at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t + 200 = -0*t. Is (t\/(-6))\/(8\/(-60)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*l**4 + 25200*l**3 + 4153*l**2 + 7*l wrt l.\nAnswer: 144*l + 151200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 178967 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*x - 10*x. Let d = 0 - x. Suppose 12 = 4*k, k = -5*m - 0*k + 3. Solve d*b - 3*b - 4 = m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/(-180) + 77\/(-72) and -83\/44.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1791 + -1786. Solve 3*o - 3 = 3*a, -3*a - 17 = -l*o - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.95 - -0.05. Let b = -4 + 4. Put y, b, 5 in ascending order.\nAnswer: b, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (18\/(-24))\/(3\/2)*0. Suppose x - 3*x = 4*d + 8, v = -4*d + 3*x + 12. Suppose 2*q + 222 = 3*b - d*q, 3*b - 5*q = 213. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/1728*18)\/(6\/612)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 739*q = 9114 + 6845 + 10886 + 21929 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from uouqqqhuohqoqoumq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1, -18, -3, 0 in descending order.\nAnswer: 9, 0, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 73\/2, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 4*l + 67, 5*u - 5*l - 65 - 40 = 0. Suppose -3*p = u*p - 14000. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 5 + 6)*(0*p**4 + 0*p**4 + p**4) in the form c*p**4 + l + a*p**2 + u*p**3 + w*p and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 1) + 14 + (3 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2130 (base 6) to base 16\nAnswer: -1e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9.3 - 8.8. Let r = 1939 + -1941. Which is the closest to r?  (a) q  (b) 1  (c) 0.1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, m: 1, f: 2, l: 2, k: 1, h: 1}. What is prob of picking 1 e and 2 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4464 from -6233394.\nAnswer: -6233394.4464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(1088) + -2 + 2 + (sqrt(1088) - 2*sqrt(1088)) + 5 + -3)**2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/9)\/((-2)\/6). Let t be (-60)\/(-5) + (j - 0). Which is smaller: 12 or t?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9 + 34*l - 21*l - 16*l)*(2 - 2 + 2)*(-4 + 0 + 5) - l + 3*l + 0*l + (l - 1 + 1)*(2 - 3 + 2) as r*l + q and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + t = -72. Solve -3*z - z = -t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 558492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -30.381+0.5\nAnswer: -29.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from jjeejjjjjjjjejjj?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1512, -1650, -2148, -3186, -4944?\n\"Answer: -30*v**3 + 72*v - 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -43, -47, -51, -55, -59?\n\"Answer: -4*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -13, 1, -3, 314 in descending order.\nAnswer: 314, 1, -3, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o. Let n(f) = 8*f**2 + 35. Give c(n(r)).\nAnswer: 16*r**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -28593, -28902, -29729, -31332, -33969, -37898, -43377, -50664?\n\"Answer: -43*d**3 - d**2 - 5*d - 28544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9 + 5 + 3)\/(1\/(-35)). What is the smallest common multiple of -2*(2 - p\/10) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101 (base 2) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j + 42. Let r be u(-15). Is r at least as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 6\/10)\/(-1). Let h be (-3)\/9 - (-26)\/6. What is the nearest to g in h, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2 + 406876850*h + 8277438553296125.\nAnswer: 5*(h + 40687685)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5520661679?\nAnswer: 13, 19, 127, 175991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.248 and -5.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3. Let b(g) = -93*g**2 + 5*g + 52. Let j(f) = -b(f) + x(f). Is j(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4229993 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 8:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2, 3, 152\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -6*j + 2*j**2 + 553 - 553. Let u(l) = 4*l**2. Give v(u(a)).\nAnswer: 32*a**4 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*r**2 + 10*r**2 - 2*r**3 - r**2 + 19*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -21\/2. Let n = 17 - 37\/2. What is the closest to -1 in n, p, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1*7 - (-5970 + 54))\/(1 + 0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23304 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -78, -87, -118, -183, -294, -463, -702, -1023?\n\"Answer: -2*g**3 + g**2 + 2*g - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 6*g - 2*g - 140 = 0, 0 = -4*n + 4*g + 76. Let a be 5 + -3 + n\/(-20). Suppose a - 3\/5*b - 1\/5*b**2 = 0. What is b?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -57.93222 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 17 = -3*a + 8, -a + k - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 + 4*w**2 - 2*w + 15. Let k be j(-4). Let b be (k - 1)\/((-34)\/51). Let y = 73 - b. What is the remainder when 58 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5124980.14 rounded to the nearest one thousand?\nAnswer: 5125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24554?\nAnswer: 2, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(((-2210)\/323)\/(-13))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - 4*v**2 - 3*v - 2. Suppose 12 = 4*m + 4*s, 0 = -m + 3*s - 5 - 4. Suppose -10 = -5*u + 3*u. Suppose u*c + 15 = -m*c. Give i(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*h - 64*h - 25*s = -34*h + 47, 0 = -2*h - s - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 = 5*p - 2*d, 3*p = 2*d + d + 123. Calculate the remainder when 54 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4101255 by -5.\nAnswer: -820251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 15) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -377, -3001, -10117, -23969, -46801, -80857, -128381, -191617?\nAnswer: -272809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d + 16 = 0. Let p be 12 - (-1 - -7) - 6. Solve p = -4*s + 8 + d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3335296 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1645953457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 176*a - 16006. What is w(91)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*v - 15441405 = -128*v. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/3 + 4\/6. Suppose -28 + 29 = w. Calculate the highest common factor of w and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 11 = 111. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 156\/(-30))*(-1)\/(-4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -16*d - 5. Let c(s) = s + 1. Let g(h) = -5*c(h) - x(h). Let o(y) = -39*y. What is 18*g(a) + 5*o(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -86219 * 0.3\nAnswer: -25865.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -z**5\/30 + z**4\/12 + 2*z**2 - 1. Let h(o) be the second derivative of s(o). Find the second derivative of h(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(125) - (-1 + sqrt(125))) + -1)**2 - (-5*4*sqrt(125))**2).\nAnswer: 150000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, k: 3, s: 3, z: 4, u: 1, h: 6}. Give prob of picking 1 z and 2 s.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**0)**(23\/3)\/(v*(v*v\/(v\/(((v**5\/v)\/v)\/v)))\/v*v\/(v\/v**7*v)))**(-1\/73) assuming v is positive.\nAnswer: v**(4\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 237420462735 and -90.\nAnswer: 237420462645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34660523.\nAnswer: 34660523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30182, -28772, -24946, -17498, -5222?\nAnswer: 13088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3315584 - 1045584. Round o to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.945445 to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -p**3\/24 + 3*p**2\/8 - 9*p\/8 - 7. Solve v(w) = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 + 1750*t**2 + 138165*t - 2679120.\nAnswer: 5*(t - 16)*(t + 183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*1*sqrt(77))\/(-6*sqrt(11)*1) + -3 + (0 + sqrt(567) + 3)**2.\nAnswer: 55*sqrt(7) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -7. Suppose 6*j = x*j + 42. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -53573780 and -1.\nAnswer: -53573781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u - 2*u + 2*u - 3*u - 3 + 3 + (-2*u + 2*u - u)*(5 + 0 - 4).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1141.153 + 1141. What is r rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43269117 is divided by 2880.\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 12*a**5 + 280*a**4 + 1968*a**3 + 3360*a**2 - 3200*a = 0.\nAnswer: -10, -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45726531, -91453029, -137179527?\nAnswer: -182906025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1655429*x**5 + 653358*x wrt x?\nAnswer: -33108580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -121233 (base 5) to base 3\nAnswer: -20021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37 by -3.\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 466, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2124349, 4248661, 6372973?\nAnswer: 8497285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2891 - 2917 = 5*u - 2*q, -29*u - 196 = 11*q for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or -2\/146438975?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**42*w\/(w*w**(6\/19)))\/(w**(10\/7)*w\/w**(-46)))**1 assuming w is positive.\nAnswer: w**(-897\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g**2 - 3*g**2 + 5*g**2)*(4*g - g - g + (4 + 11 - 10)*(8 - g - 8)) to m*g**2 + n + l*g**3 + k*g and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 15*t + 0 + 2*t + 23*t**2 + 17. Let a(x) = -4*x**2 - 3*x - 3. Let r be -18*((-4)\/(-6))\/(-2). Suppose 35 = y + 1. Give r*q(k) + y*a(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttsttts. Give prob of sequence ts.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10.5036 in 14, -0.1, 5, 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -66879684*m**2 - 65424*m - 16 = 0. Calculate m.\nAnswer: -2\/4089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6068 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -s**7\/840 + s**6\/360 - s**3\/2 + s. Let z(g) be the second derivative of a(g). Determine v so that z(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 55*c**3 - 642 + 327 + 320 + 91*c**3 in the form t*c**3 + z*c**2 + x*c + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/4)\/b**(-2\/11))**28)**(-31) assuming b is positive.\nAnswer: b**(651\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 4*b**2 + 1434*b + 2832. Give g(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 1, 2\/187 in descending order.\nAnswer: 6, 1, 2\/187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 14*w + 41. Let o be h(-3). Is 2\/133 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17*(-9)\/(-41004))\/((13\/65)\/((-16)\/10)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75689612 by -18922403.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/5  (b) -309  (c) -0.3  (d) -0.2  (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -941 - -1996. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 9*g - 6. Let r be j(10). Let l be (-1)\/(-2)*(-1 - -1). Put l, r, -5 in descending order.\nAnswer: r, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 - n**2 + 0*n**2)*((6 - 3 - 4)*(-n**2 - 20*n**2 + n**2) + 0 + 0 - n**2).\nAnswer: -19*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(2\/15))**(3\/19))**(2\/15))**38 assuming t is positive.\nAnswer: t**(68\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 353*l + 2720. Let a(y) = 712*y + 5418. Let g(k) = -4*a(k) + 9*f(k). Differentiate g(n) with respect to n.\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2151 and 1673.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -5*l + 178135016, 97*l - 102*l - 2*r + 178135008 = 0. What is l rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*g - 0*g. Let s(p) = -2 + g + 7*p + 1. Let d(n) = -2*n**2. What is d(s(b))?\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, q: 1, b: 1, w: 1}. What is prob of picking 1 c, 1 b, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004900757944 rounded to seven dps?\nAnswer: 0.0004901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -5. Let g be (p\/(-4))\/(15\/(-12) + 1). Let s(d) = -14*d**2 - d. Determine s(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 342302453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and 1636.73.\nAnswer: 1636.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*w**2 + 12*w**5 + 6*w**2 - 6*w**2 wrt w?\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 3*l**2 + 8481*l - 163. Calculate g(0).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -238 times -2016346\nAnswer: 479890348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 24*i**3 + 7*i**2 + 4*i - 4. Let h(v) = -23*v**3 - 7*v**2 - 4*v + 4. Let s(y) = 6*h(y) + 5*t(y). Let o be s(-4). Round o to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12\/737 - 53004\/3685. Let i = 266\/15 + b. Factor 8\/3 + 16\/3*k + i*k**2 + 2\/3*k**3.\nAnswer: 2*(k + 1)*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = 0, -4*r + 12 = -0*o - 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 160335.6 centimeters to millimeters.\nAnswer: 1603356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(171)\/(sqrt(54)\/sqrt(6)) - sqrt(133)\/(sqrt(7) - sqrt(63)))**2.\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -2. Suppose -3*t + 4*b = -31, -4*t + l = -b - 18. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10500 + -2138?\nAnswer: 7351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 12 = 15. Let b(g) = -g**2 + 8*g + 11. Let j be b(k). Solve j*r = -r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -417 >= -419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -108 times -1551?\nAnswer: 167508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = s + 26 + 10, -w + 12 = -4*s. Suppose 54000 = -w*c + 39*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + -11. Let q(c) be the first derivative of -u - 1\/3*c**3 + c - c**4 + 2*c**2. Find b, given that q(b) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, p: 2}. What is prob of picking 2 r and 1 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1967 and 3031.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-27)\/(-2))\/((-2)\/(-20)). Suppose -4*s = -5*h + 6 - 29, -2*h - 4 = s. Let q be (h\/(-2))\/(3\/54). What is the highest common divisor of q and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -3*a - 28, -3*a - 14 = 3*h + 4. Let b be 2 + 0\/(-2 + a). Calculate the greatest common divisor of b and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1028532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.13 and -28869157.\nAnswer: -28869157.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -2, 2, 5, 4 in descending order.\nAnswer: 10, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -55232 and -55212 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.941932 - 0.101932. Let y = -6.3 + 6. Sort 0.5, 5, x, y in decreasing order.\nAnswer: 5, x, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -154*d**3 - 4*d**2 - 3*d - 3. Suppose -4*a + 4 = 0, 3*a + 4 = -2*x + 3. Let j be k(x). Suppose -42 = c - j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 3*i = -15, 0 = 3*h + 2*i + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -5*b + 6*b - 8*b - 3. Let f be l(-2). Suppose f*h - 1053 = 2*h. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h. Let q(g) = -14*g - 8. Let r(z) = 0 + 10*z - z + 5. Suppose -4*o + 3 + 2 = -3*d, -o + 4*d - 15 = 0. Let p(c) = o*q(c) + 8*r(c). What is f(p(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2877201 and 3196890?\nAnswer: 28772010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + 23*f**2 + 19*f - 483. Let m be b(-21). Solve 3*k + 3*p + 6 = 0, m = -8*p + 9*p - 4 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2164067*a**3*f**4 - 3697589*a**3*f**2 - 5*a**3*f - 4*a*f**5 wrt f.\nAnswer: 51937608*a**3*f - 240*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-8))\/(3\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 73357150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 5*q, 5*q - 2*k - 4 = 2. What are the prime factors of (q + -8)*20\/(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6200.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**4 + 52 + 4*u**4 - 11 + 14*u**3 + 53 + u**2 + u - 12*u**3 to v*u**2 + a + d*u + q*u**3 + y*u**4 and give a.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -q**6\/45 - 2*q**5\/15 + 13*q**4\/6 - 6*q**3 - 479*q. What is c in l(c) = 0?\nAnswer: -9, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -2, -488, 1, 85 in increasing order.\nAnswer: -488, -2, -1, 1, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5*d - 24, 0 = 2*d + 3*o - 5 + 9. Sort d, 2, 67, -2 in increasing order.\nAnswer: -2, 2, d, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(-4) - (-18)\/8. Suppose 4*u = -v - 9, v + 0 = -c*u - 7. Let i = -132 + 1190\/9. Is i >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**3 + 19*u**2 - 93*u - 13. Let t be s(5). Calculate the greatest common divisor of t and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31.7 - 32. Is 25 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + -23 + 76 + 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -4 - 3*y - 9*y**2 - 2*y**3 + 0*y + 5*y**2 + 3*y**3. Let p be (6 - 1)\/(1\/1). Determine w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8030973, -8030972, -8030971?\n\"Answer: g - 8030974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 820, 818, 816, 814, 812?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 62680 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1352 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 115.1631 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 13*x**3 - 11. Let j(m) be the third derivative of m**6\/3 - 11*m**3\/2 + 9*m**2. Let k(y) = -8*i(y) + 3*j(y). What is the derivative of k(d) wrt d?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 - 0) + 516\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u**2 - u - 1. Let z(m) = 131*m**2 - 6*m - 12. Let i(p) = 6*b(p) - z(p). Let a(w) = -2*w. Determine a(i(r)).\nAnswer: 226*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6653 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - 14*q**2 - 2*q - 193. Calculate a(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1578)\/(-14) - (-2)\/7. Suppose 5*m = p + 87. Suppose -2*k + m = 3*k. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6270769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -44*a - 88. Give t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -110107, -220313, -330519, -440725, -550931?\n\"Answer: -110206*v + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 - 6*z**2 + (z**2 + 3 - 3)*(-4 - 5 + 5)*(2 + 0 - 4).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -24\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 4*t - t + 30, -4*a = 3*t - 22. Let j be 2\/5 + 8\/5. Let v = a - j. Solve 2*s = -v*s - 8, -2*x - 3*s - 14 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -4) + -7 + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 1  (c) -1\/2  (d) -2\/511\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -289*z**3 - 9*z**2 - 11*z + 4. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -45756165, -91512331, -137268495, -183024657, -228780817, -274536975, -320293131?\n\"Answer: l**2 - 45756169*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2215\/9 - 27319\/111. What is the third biggest value in -5, g, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j + 9. Let b be l(-7). Let o be (0 + b)\/(0 + 1). Suppose 2*i - o = -0*i. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 73*d*f**2 - 5*d*f + 396*d - 4*f**2 + 37*f + 252 wrt f?\nAnswer: 146*d*f - 5*d - 8*f + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -6*j. Let s(t) = -47508191*t + 1. Give r(s(m)).\nAnswer: 285049146*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.5 - -3. Let z(j) = 2*j**2 - 9*j + 6. Let h be z(6). Let o be 5\/5 - h\/21. What is the nearest to 1 in 4, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-98)\/35*(-2 + 4 + -12). Find the common denominator of 79\/2 and (-4206)\/(-672) - 2\/d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 5:50 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 94 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -9*(-27)\/(-6)*(-6)\/(-81)*11\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 + 2)\/((-2)\/(-8)). Suppose -k + 2*k = 3*n + 3, k + i*n + 4 = 0. Solve 2*b + 3*w + 18 = k, 5*b = -3*w - 5 - 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 117 - 117.5. Let p = -0.466 + 0.076. Let j = p - -0.09. What is the nearest to 0 in d, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3692179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174466 is divided by 58131.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-975)*-13*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/6)\/((-26)\/(-11973)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of 0*k**3 + 0*k + 0*k**6 + 0 - 11\/60*k**5 - 13*k**2 + 0*k**4 - 5\/336*k**8 + 0*k**7. Find the third derivative of m(j) wrt j.\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 174*x**2 + 345*x - 6.\nAnswer: 3*(x + 2)*(58*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 699*h**2 + 7123*h + 278. Calculate y(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 290, 288, 284, 278, 270?\n\"Answer: -s**2 + s + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7632 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 809225845 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 AM and 5:56 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.07436 + 0.03436. Let z(v) = 3*v - 1. Let w be z(-1). Which is the nearest to g?  (a) 3  (b) 2\/7  (c) -2  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1834*c + 659*c = 132329 - 37263 + 74458 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52 - -62. Suppose 0*d + 28940 = c*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g. Let k(z) be the first derivative of 5*z**3\/3 + 7*z**2\/2 - 36. Give h(k(o)).\nAnswer: -5*o**2 - 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(68)*1)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 130.217\nAnswer: -131.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12580 + -226571\/18. Calculate the common denominator of 39\/8 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -19*k**3 - 5*k**2 + 2*k + 1. Let r be x(-5). Let y = -8061 - -4920. Let i = r + y. What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 5*w, -w - 10025 = 4*q - 10048 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12 - 5 - (-6 + (4 - -7) + 29) - 3\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101148?\nAnswer: 2, 3, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 6:50 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 490 = -3*f. Suppose 4*z = 3*r + 8, 1 = 4*z + 4*r - f. Solve -5*o = -2*o + h - 11, -4*o + z*h + 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/176852 and 169\/204060.\nAnswer: 2652780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 15 = 3*h - 150, 5*h - 2*n - 240 = 0. Let d be 10\/45 - h\/(-18). Solve -d*v - 1 = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -1004, 3, -37, 2\/13 in descending order.\nAnswer: 3, 2\/13, -9, -37, -1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -61*d**2 + 85*d - 313. Calculate m(4).\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -831, 3420, 7671, 11922?\n\"Answer: 4251*d - 5082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*k - 1 + (-2 + 1 + 2)*(-k + 3*k - 4*k) - 5907 + 5907 - 352*k.\nAnswer: -356*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 31 = -x - d, 0 = 2*x - 3*d + 76. Let f be 0*(3 - x\/(-10)). Solve 3*c + 3*c = f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)\/sqrt(90) + -5 + sqrt(19)*-1 + -5)*-1.\nAnswer: 2*sqrt(19)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.299088 + 0.2946. What is t rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2130851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times -0.72224?\nAnswer: -7.2224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -m**4\/12 + m**3 - 4*m**2. Calculate k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2700\/(-2970)*44\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134663 is divided by 1448?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 455 = -51. Let m = t - 130. Suppose z = -3*f + 92, -3*f + z = -2*z - m. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrcnn. What is prob of picking 1 n and 1 r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l - 6*l + 2*l + 2*l + 10. Let r be v(8). Suppose -24 = -3*j + r*j. What is the remainder when 70 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 5, k: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 459911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 4*p**2 + 5*p + 3. Let t be n(-5). Put 6, t, -3 in descending order.\nAnswer: 6, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -23. Let c(q) = 2*q + 9. Give c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (54\/132)\/(6\/(-32)). Let f = 190\/77 + d. Let b = -0.04 - 0.06. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -271, -173, 5, 275, 649, 1139, 1757, 2515?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -927 * -0.8.\nAnswer: 741.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 3*m + m. Suppose 6 = -m*r + 2*v, r + v = -r + 3. Let u be 12\/4*2\/42. Is r less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -10*x + 6. Let s(f) = 2*f - 1. Let b(a) = 14*s(a) + 3*y(a). Is b(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of o**11\/166320 + o**10\/302400 - 13*o**5\/60 - 13*o**2. Let p(d) be the third derivative of g(d). Factor p(h).\nAnswer: h**4*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -69*u - 2. Let l(o) = 68*o + 3. Let p(f) = -3*i(f) - 2*l(f). Let q be p(3). Is q\/4 - 1\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**5\/15 + k**4\/3 - 2*k**3\/3 - 5*k**2. Suppose y(d) = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 l when four letters picked without replacement from {n: 7, l: 2, y: 1, d: 1, h: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 206 = 2*a + 47, -5*a + 363 = -4*r. Calculate the remainder when 823 is divided by a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**22\/(a**(-4\/3)\/a*a) assuming a is positive.\nAnswer: a**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 802708960?\nAnswer: 2, 5, 19, 71, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*q + 30 = 39*q. Suppose 51 + 36 = -q*l + 3*j, -5*l = -2*j + 139. Is -2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ptmtputptppmpak. What is prob of sequence mk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q - 4. Suppose 0*v - 3*v = -9, 2*t = 4*v - 18. What is z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 976970140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/8*(2 + (1 - -5)). Let a be (-42)\/x - (0 + 3\/9). Solve -5*o = -f + a*f + 21, o + 7 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -9*u. Let m(i) = 8*i**2. Determine f(m(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 158 + -158. Solve q = 4*j + j + 2*o + 17, 4*j = 5*o - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 836 - 824. What is the remainder when 22 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*b - 105*b + 207 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of 3*n**4\/4 + n**3 - 9*n**2\/2 + n - 1576. Let l(z) = 6*z**2 + 4*z - 6. Calculate 7*l(j) - 5*y(j).\nAnswer: -3*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -19*m**4 + 110*m**3 - 3018*m**2 - 10559*m + 13450. Let w(o) = -6*o**4 - o**3 - 2*o**2 - o - 2. Let n(i) = -3*q(i) + 9*w(i). Factor n(a).\nAnswer: 3*(a - 58)**2*(a - 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 46.8?\nAnswer: 93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27.1 - 1.1. Let m = h - 21. Let f = 0.9 + -1. Sort -3, m, f in descending order.\nAnswer: m, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 11) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2*sqrt(21))\/sqrt(3).\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b + 4. Let u be i(1). Let s be u - -1 - (48\/(-20) - -2). Put -2\/5, s, 2\/3, -2 in descending order.\nAnswer: 2\/3, s, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 7*l - 24. Let s be i(10). Solve 3*g + 3 = s*g + 3*r, 0 = -2*g + 3*r + 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + a + 23 = 0, a - 17 = 2*m - 4. Let g(h) = -h - 4. Calculate g(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3300)\/120)\/55)\/((-1)\/(-26)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 692446.2 hours to milliseconds.\nAnswer: 2492806320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of 107*m**5\/12 - m**4\/12 - 13*m**3\/6 + m**2 + 36. Find the second derivative of u(y) wrt y.\nAnswer: 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1266, 3377, -2 in decreasing order.\nAnswer: 3377, 1266, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from mmmvmmmvbqmov.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + 7*l**2 + 15*l**2. Suppose -o + 1 = -3. Let d(s) = -o*s + 5*s + 0*s + s. Give d(b(j)).\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -7, -13, -25, -49, -91, -157?\n\"Answer: -w**3 + 3*w**2 - 8*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 13, -5.\nAnswer: -5, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 570 and 3981507?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 + 13*x + 36. Let n be i(-7). Which is smaller: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 0, -2*c + 12 = 4*h + 4. Let l(q) be the second derivative of 0*q**h + 0 - 2*q + 1\/24*q**4 + 0*q**3 + 1\/40*q**5. Suppose l(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccyycccy. Give prob of sequence yyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 6*d. Let i be q(4). Let s = 53 - 54. Which is the nearest to 3?  (a) 1  (b) s  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -11053?\nAnswer: 11052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -3*y + q - 59, 2*q + 4 = 2*y. Let f = 1 - -4. Solve 3*a + 12 = 5*s - 8, y*s - 30 = f*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6697, -26941, -60699, -107965, -168733, -242997, -330751, -431989?\nAnswer: -546705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1124)\/(-161294))\/(4\/14)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x + 9. Let v(l) = -5*l + 12. Let g(i) = -4*u(i) + 3*v(i). Let h(w) = -w**2 + 8. Give g(h(q)).\nAnswer: -q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2513*u - 12848. Give b(5).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - x - x + (-2*x + 3*x + 0*x)*(-3 + 4 + 1))*(-4 + 2 + 5)*(4 + 2*x - 4).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 13159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.54 plus -595?\nAnswer: -594.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -9522490 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11134933 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/5)\/(15\/60).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -19*l - 15. Let y(p) = -9*p - 7. Determine -4*u(o) + 9*y(o).\nAnswer: -5*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9342, -13149, -16956, -20763, -24570, -28377?\nAnswer: -32184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oerg when four letters picked without replacement from {g: 2, z: 1, e: 3, o: 1, h: 4, r: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*x**3 + 731*x**2 - 2539 wrt x.\nAnswer: -54*x**2 + 1462*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10335 and 1053.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177*q**3 + 173*q**3 + q**2 - q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -86943152 take away 2?\nAnswer: -86943154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v - 42*v**2 + 7*v.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -106*5\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 431, 476, 557, 680, 851, 1076, 1361, 1712?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.1, -5 in decreasing order.\nAnswer: 1, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*h + 20*h = -138. Which is smaller: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78 and 1416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/(-308)*(-8)\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + 5*r - 1. Let h(q) = q**2 - 16*q + 19. Let f be h(15). Give k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 10. Solve 0 = -o - 2*u - 6, 0 = -2*u - 0*u - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -395 + 0*d + 392 + 33*d.\nAnswer: 33*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f**2 - 505*f - 24953. Give z(-185).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x + 7. Let a(m) be the first derivative of -m**3\/3 - 7*m**2 - 34*m + 41. Let o be a(-10). Give q(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of -s**4\/12 + 3*s**3\/2 - 4*s**2. Let f be d(5). Let h(k) = 7*k**3 - k**2 - k - 1. What is h(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 4.270841 decades?\nAnswer: 42.70841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 89\/7, 26958, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from muuuuucmmamuxaucc. Give prob of sequence maux.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 1\/4, -0.0852, 640?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8*(-14892)\/9344*4\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 3*w = -v - 44, -2*v + 214*w + 1172 = 273*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l**3 - l**2 + l**2 + (16 + 55 + 39)*(4*l**2 - 4*l**2 + l**2)*(-l - 2*l + l) as p*l + b*l**3 + z + u*l**2 and give b.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11341 divided by -11341?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5348, -5220, -4852, -4124, -2916, -1108, 1420?\n\"Answer: 20*n**3 - 12*n - 5356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -517293.13 rounded to the nearest one hundred?\nAnswer: -517300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 234943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2122\/413 - -438\/59. What is l in n*l - 10\/7 - 6\/7*l**2 = 0?\nAnswer: 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 369545 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 128, 249, 360, 455, 528, 573, 584, 555?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4583*o**5 - o**4 - 8941*o**3 + 266905399*o**2 wrt o?\nAnswer: -274980*o**2 - 24*o - 53646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 0.3  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -9088129*n. Let l(r) = -3*r**2. Determine l(d(f)).\nAnswer: -247782266161923*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -305165014 and 19.2?\nAnswer: 305165033.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24165.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + y**2 + 4*y - 1. Let s be c(-3). Let m be (-2 + -1 + 4)*s. Let w = 57 - m. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 568580 is divided by 142132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of -221*b**4\/8 - 31*b**3\/6 + 94*b**2 + 2. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51, 34, 17, 0, -17?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 9 - 4*v - 16 in the form j*v + i and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 653447*x + 9.\nAnswer: 653447*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -3, 2, 0 in increasing order.\nAnswer: -9, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 3*t = 20. Let v = -34 + -10. Let k be (v\/3)\/((-3)\/(2 - -7)). What is the highest common factor of k and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -172340687 at least as big as -172340687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 8*y**3 - y**2 - 4*y + 3. Let l be (-8)\/(2 - 4) + -2. Let b be k(l). Let r = b - 31. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -295*l*u**3 - 18*l - 3*u**2 wrt u?\nAnswer: -1770*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -49882050 smaller than -49882050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52206254.\nAnswer: 2, 3313, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*-4*3*4)\/((2*sqrt(132) - sqrt(132) - sqrt(132))\/sqrt(12) - -1*sqrt(33)\/sqrt(3))*1.\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 - 13. Suppose 0 = 4*d - 5*t - 1, 2*d = -2*d + t + z. Suppose d*l - 26 - 58 = 0. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (-1)\/(183264\/1817374). Let j = 1\/30544 - x. What is the common denominator of -151\/72 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 324187822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 3*b = -7, -5*x + 2*b + 0*b = 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 413, 1555, 3459, 6125, 9553, 13743?\n\"Answer: 381*z**2 - z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b. Let x be y(-6). Let d(s) = -2*s**3 + 3*s**2 + s - 2. Let t be d(2). Let z be (-7)\/t*(5 - -19). What is the greatest common divisor of z and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*p + 15129 = 81*p + 1241 + 2229 for p.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2600082 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 - (-14 - -24 - (9 + -10) - (10 + 12)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 93, 2, -14, 71 in decreasing order.\nAnswer: 93, 71, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15726*u + 1158*u**2 + 38 + 15726*u - 38.\nAnswer: 1158*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.4 - -0.3. Let x = n - -0.3. Suppose -8 = 2*t - 4*t - 2*s, -t = -4*s + 21. Which is the nearest to 1?  (a) x  (b) -0.2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -99 + 183. Let m = p + -44. Find the second derivative of -12*n - 3 + m*n**4 + 20*n - 18*n + 2 wrt n.\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 3:01 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -29*m**4\/4 + 2*m**3\/3 - 302*m + 127. Differentiate o(g) wrt g.\nAnswer: -87*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n - 170. Let p(d) = 3*d - 340. Let w(k) = -p(k) + 2*s(k). Let z(h) = -722*h**2 - 1. Determine z(w(m)).\nAnswer: -18050*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 5433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 11 + 5 + 80*o + 1 + 183*o + 2. Let j(h) = h**2. What is n(j(t))?\nAnswer: 263*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 5*c + 7*c - 1 + c + 1 + (-3 + 2 + 2)*(3*c - 3*c + c))*(c**2 - 5*c + 5*c)*(22 + 13 - 22).\nAnswer: 78*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 72*y**2 - 19 + 2 + 2*y - 66*y**2 + 5. Let i = 1 - -7. Let a(o) = -4*o**2 - o + 8. Let k(l) = i*a(l) + 5*s(l). Suppose k(b) = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from qvvqvqvqvvvq?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 665812009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(25) - sqrt(625))*-1 - (sqrt(25) + (sqrt(50)*-1 - sqrt(50))\/sqrt(2)))\/((sqrt(7920)*2)\/sqrt(11)))**2*6.\nAnswer: 125\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5.4  (b) -876  (c) -1.6  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 973.4857mg?\nAnswer: 0.0000009734857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 50 and 3898271.\nAnswer: 194913550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 31 = -2*h + 641, -3*t - 4*h = -380. Suppose -t = 5*k - 15*k. Solve 0 = 4*x - 8*x + k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4830, -4829, -4828, -4827, -4826?\n\"Answer: z - 4831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 13965, -26, 8 in ascending order.\nAnswer: -26, -8, 8, 13965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4*b**3 + 55*b**2 + 155. Calculate q(14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*2\/(-22)*-232. Let g = 7136\/165 - f. Let z = g - 7\/5. Which is the third biggest value?  (a) 4\/7  (b) -1\/8  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/9?  (a) 0.3  (b) -1  (c) -17\/3  (d) -3\/4  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 9:09 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(95) + 4*(sqrt(95) - (sqrt(95)*-2 - sqrt(95))) + sqrt(95) - (sqrt(95) - ((sqrt(95) - sqrt(95)*-2) + sqrt(95))*-1)))\/(sqrt(180)*-2*3*2).\nAnswer: -65*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 4:52 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**2 + 2*w + w**3 + 6 + w - 1 - 1. Suppose -2*y + 4*y - 6 = 0. List the prime factors of r(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*f + 61186 = -128403 + 5589. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(77) - 4*3*sqrt(77)))\/((2*sqrt(7) - sqrt(7))*1 + -2*sqrt(7)*-2).\nAnswer: 11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23567704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.998 rounded to one decimal place?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 + 0 + 0)*(4 - 4 - 1) + (2 + 1 + 0)*(-2*w**2 + 2*w - 2*w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/12*(-115 + 1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 97 = 105, 0 = 4*p + 5*t - 780. Calculate the remainder when p is divided by 0 + 34 + 0 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 3, -5.\nAnswer: -5, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 - -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 231 and 8995.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2868653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -16. Suppose s - h + 0 = 0. Calculate the least common multiple of 5 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/80 and 6\/192*-5 - (3 + -1).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -32*x**2 - x. Let a be k(-2). Suppose -i = -2*f + i + 432, 2*f - 427 = i. Let r = f + a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-10)*(-175)\/105\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 22\/(-8) - (-6)\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.4  (b) 2\/15  (c) -0.8  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -42\/43 and -5\/344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-94956)\/(-2895)*(-10)\/8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m + 17. Let c be l(7). Find the second derivative of c*r**5 - 11*r - 7*r - r**5 - 6*r**5 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 - 35. Let u(y) be the second derivative of y**4\/12 + 11*y**3\/6 - y**2 + 3*y. Calculate the least common multiple of 14 and u(b).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 6, x: 3, q: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7546\/3 - 2516. Let b = -1258\/7 + 180. What is the closest to -1 in b, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 2 - 2. Let m = -8560.6 - -8561. What is the closest to -1 in p, 0.2, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/1 + 21 + -24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 24 = -5. Suppose 3*x = 5*r + u, -26 = 4*r - 10. Solve 5 = 3*q - 7, 0 = -x*k + 4*q - 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/3, 0.3, 0.01, -6\/169, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8647 and 0.4?\nAnswer: 3458.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 45027, 45025, 45023, 45021, 45019?\n\"Answer: -2*o + 45029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22.50198 + -22.5. What is g rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18129.6 decades to years.\nAnswer: 181296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 2*k**2 - 2*k - 1. Let v be u(-2). Suppose v*l = 4*l - 5*g - 2, 3*l - g + 8 = 0. Is -3 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 + 51. Calculate the lowest common multiple of 24 and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 2*l - 71 = -6*a, 94 = 4*a - 3*l. Suppose a = 2*p + j, -4*p + 65 = -12*j + 17*j. What is the highest common divisor of p and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y + 1. Calculate v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 4 + -2 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/5 of a centimeter in millimeters?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (110\/45)\/((-4)\/(-36)) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 909342 and 160328?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(-41)*u*u**(-4\/9) assuming u is positive.\nAnswer: u**(383\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -183.183631 - 108217?\nAnswer: -108400.183631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -3*d**3 - 4032*d**2 - 20103*d - 24102 = 0.\nAnswer: -1339, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*c - 6, 5*n + 2 = -2*c + 25. Suppose -540 = -c*j - 2*x, -8*x + 4*x - 564 = -4*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 5990010) + (9 - 1). What is d rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 58598 = 189930. Suppose 0 = -a + 5, -2*a - d = -2*f. Suppose -f + 9408 = 3*j. Round j to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2437*z + 7*z + 810*z = 227780 for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -177*f + 4*f**2 - 90 + 79*f**3 + 90 + 30*f wrt f?\nAnswer: 474*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 64 + 14. What is the remainder when h*1*(-3)\/(-6) is divided by 1173\/138*20\/17 + (0 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from msmwmtmtmmmstmmxx.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + v**2 + 4*v - 143. Calculate s(0).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 777*h**2 - 133*h + 1 wrt h?\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (36\/(-10))\/6*(-2)\/(-9)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 6 - 3. Let y be ((-4)\/(-6) - v)*0. Solve 2*n = -y*d - d + 2, n = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 1. Let d = -380\/7 - -54. Let n = d + 0. Sort x, n, 0 in descending order.\nAnswer: x, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53950 is divided by 10787?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.45 + -0.15. Let r be (-4)\/(68\/(-5))*(-4)\/(-10). Which is the third smallest value?  (a) v  (b) -2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + c = 11, k + 0*c - 3*c = -7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 2 + 90*c**4 + 76*c**3 - c - 3*c - 76*c**3 in the form s*c + h*c**4 + g*c**3 + w + l*c**2 and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 46 + -48. Let n be -1 + (-27)\/(0 + -3). Let j be 38\/(-66) - n\/(-12). Which is the biggest value?  (a) p  (b) j  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05174 * 0.05.\nAnswer: 0.002587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3286 = 49*b - 250540. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + 89918 + 24232. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, s: 1}. Give prob of sequence svl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/3))**(-2\/147)*(q*q*q**5*q)\/q**(1\/4)*(q**2*q**(-5))\/(q**(3\/2)\/q*q*q**7*q) assuming q is positive.\nAnswer: q**(-8395\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 139433203 divided by 2899\nAnswer: 48097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 494 and 4937\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + -2.8. What is w rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4509673.6 rounded to the nearest 10000?\nAnswer: -4510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 18*f**3 - 81*f**2 - 187*f + 136. Determine y(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38756966207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.04380743 + -2468487.95619257. Let d = a - -2468476.999976. Let h = 11 + d. What is h rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -6*q - 57. Let d be v(-9). Let k be 23 - (d\/(-3) + -4). Let n(s) = -66*s - 2. Let u be n(-2). Calculate the greatest common divisor of u and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -3*r, 73 + 13 = 16*n - 4*r - 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1233298 + -56398. What is z rounded to the nearest ten thousand?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 423\/20 + -102\/5. Which is the biggest value?  (a) -1  (b) -2\/11  (c) t  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67 times -3172004\nAnswer: 212524268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 14. Let i = 12 - k. Suppose 16 - 161 = -i*o. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(117)*-1 - sqrt(117)) + -6*(sqrt(117) - sqrt(117)*2))\/(sqrt(144) + 2*sqrt(144)*2 - sqrt(144)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + 1291*j**2 - 31515*j + 59164. Calculate i(-1315).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l. Let b(c) be the second derivative of c**5\/60 + c**3\/3 - 3*c. Let r(y) be the second derivative of b(y). What is m(r(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 177 (base 10) to base 3\nAnswer: 20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176 + 558 - 18*f - 200 - 177 - 4*f**2 + 7*f**2.\nAnswer: 3*f**2 - 18*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10752641*z**2 - 10752641*z**2 + 1 - 104*z**4 + z - 3*z**3 to r*z**2 + a*z**4 + n + j*z**3 + l*z and give a.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 710102102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -6571.\nAnswer: -2\/6571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 2*l + 5*l)*(-5*l + 16*l - 10*l) + (2*l - 3*l + 3*l)*(7*l - 9*l - 5*l) + 1 - 2*l**2 - 1 + (2*l + 0*l - l)*(0*l + 0*l + l).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d + 25. Determine v(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6750084 divided by 2250028?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(847) - (1 + sqrt(847)))*3 + sqrt(847))*-6 - ((sqrt(847) - (1 + sqrt(847) - sqrt(847))) + 3 + -5))**2 + -5.\nAnswer: -3234*sqrt(7) + 41939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 168687229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -14353, -28893, -43433, -57973?\n\"Answer: -14540*u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -254*h**4 + 2880*h**3*q - 193853*h**2 + 8*q wrt h?\nAnswer: -6096*h + 17280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 43*q**4 + q**2 + 44*q wrt q.\nAnswer: 1032*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1803180)\/(6 - 18) - 6*2\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -160*l - 80*l - 30*l + 170100. Solve -9*g = -630 + l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(68))\/sqrt(4) + (sqrt(17) - (sqrt(17) - 5*sqrt(17)*5))**2 - (-3*sqrt(17)*5 - sqrt(17) - (sqrt(2057) + 2))**2.\nAnswer: -1772 - 113*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 2 + 12 - 7 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0052172761 rounded to six decimal places?\nAnswer: 0.005217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 36*r**2 - 2*r. Let y(o) = -5*o**3 + 144*o**2 + 9*o. Let b(l) = -9*n(l) - 2*y(l). Factor b(z).\nAnswer: z**2*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -1 + -49 + 30 + 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -109 + (-32 - -170) + 57\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 7*k - 7. Let f be c(7). Let u = 1 + f. Let z(g) = g**2 + 5*g + 5. Let o be z(u). Solve -4*a + o = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-795)\/35 - (-8)\/(-28). Let x(w) = -w**3 - 21*w**2 + 17*w - 92. Is x(g) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 119 + 115 = 0. Suppose -x*f + 4*m + 88 = 0, f + 0*m + 3*m = 10. Suppose -8998 + 3621 = -f*r. What are the prime factors of r?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 8:19 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 185 and 2.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 66076992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -9447.914 to the nearest 10.\nAnswer: -9450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 10*x - 8 - 7)*((13 - 47 + 15)*(2 - 4 + 0) - 2 - 3 + 3).\nAnswer: -360*x - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18521876\/2*7\/2. Suppose -8*q - 91826562 = -6*q - 4*l, 0 = -3*q + l - 137739848. Let z = q + g. What is z rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.8, -0.1, -13 in descending order.\nAnswer: 0.8, -0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(1\/2)*d)**(-4\/11)*(d**0\/d)**(-20))**(-3\/19) assuming d is positive.\nAnswer: d**(-630\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 26*a - 21*a + a**2 + 0*a**2 - 2 + 3. Let g be j(-3). Let t = 5.01 + -0.01. What is the second biggest value in 2\/7, t, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3608744\/13 or 277595?\nAnswer: 3608744\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + m**2 - 2*m - 10. Let c = -48 - -48. Let v be i(c). Let n = 116 - 1274\/11. What is the third biggest value in n, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 468279 divided by 5\nAnswer: 468279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 + -37. Let g = 24 + l. Solve -30 = -5*c + g*h, h - 2 = -3*c - 0*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -399277 and -5.\nAnswer: 1996385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119141 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*n + 16 = 5*a, 42078*a - n - 13 = 42082*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 81 = -21. Let q be 0\/1 + s\/(-9). Find t, given that q*t**2 - 5\/3*t + 5\/3*t**3 - 5\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 9, j: 5}. Give prob of sequence ccc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 2)*(1 + 1 - 1 + (0 + 2 - 1)*(5 - 1 - 2) - 4 + 2 + 0 - 2 + 2 + 2 - 2 + 5 - 1)*(10*f + f - 4*f).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8946.04 rounded to the nearest ten?\nAnswer: 8950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, p: 17}. Give prob of picking 4 p.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -18 from 14560835.\nAnswer: 14560853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, o: 3, w: 4, g: 2}. Give prob of sequence ggf.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 5291*k**2 - 7*k + 7. Let o be v(3). Suppose j + o = -2*a, 0*a - 5*j + 71375 = -3*a. What is a rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -3 + 1\/2*b**2 + b**3 + b. Let i(l) be the third derivative of l**5\/60 + l**4\/24 + l**3\/6 + l**2. What is i(h) - p(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 148 + 299\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from {m: 6, i: 2, z: 2, q: 1, k: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) -1\/6  (b) 0  (c) 1.6  (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = -2*n + 980. Let h be (-1204)\/n + 4\/14. Is -6 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**2\/2 + 5927426*x - 11854853\/2 = 0.\nAnswer: -11854853, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1490 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -340\/9, 5\/12, 1.1, 3?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 k when four letters picked without replacement from wweekewejekrkwkeevwk.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1227, -2451, -3675?\n\"Answer: -1224*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d - 3*d + 5*d**3 + 5*d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -102 + 102. Let m be (i - 31)*4\/16*12. What is m rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3152522 (base 6) to base 3\nAnswer: 21212102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -8*3\/(12\/2). Sort q, 11, 3 in increasing order.\nAnswer: q, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**3 + 6*h - h**3 + h**3 - 9*h**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 divided by 492.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**5 - 10776*s**4 - 9666066*s**3 + 19364472*s**2 - 9687627*s.\nAnswer: -3*s*(s - 1)**2*(s + 1797)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 298*j + 7268 = 2798 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v + 45. What is the lowest common multiple of m(23) and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = 3*j, -14*j + 36 = c - 4*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3586122326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -38*z**2 + 2*z + 5. Let d be c(3). Let i = d + 1240. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u\/(u*u\/u**(-2\/5)))\/u*u)**(-4)\/(((u**(1\/7)*u)\/u)\/((u*u**(-1\/2)*u*u)\/u)))**(9\/5) assuming u is positive.\nAnswer: u**(1863\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a (base 12) in base 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1952616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 1:45 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 30895.9 and 0.05?\nAnswer: 30895.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.985 to two dps.\nAnswer: 1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 18*v**2 + 96*v + 144. Let z be k(-7). Solve 4*p - 4*b = -4, -10*p = -z*p + 2*b - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -17523 - 4?\nAnswer: -17527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -142, -280, -462, -682, -934, -1212, -1510?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1111 - 1119. What is the second biggest value in -0.4, l, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47435 is divided by 15797.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*z = -22*z + 20. Is (z + 2 - (2 + -5)) + 1420 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 132000 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/19413001?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = d - 2, -3 = 4*z - 5*d + 7. Suppose -3*c - 9 = -3*k - 4*c, -5*k = 5*c - 25. Solve 0*m + k*m + 2 = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50772100 and 1300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/7 - 325\/(-875).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -6*g**3 + 7*g**2 - 7. Suppose 5*f + 40 = -m, -7*m = 5*f - 3*m + 55. Suppose -4*u = 2*u - 36. Let v(n) = -5*n**3 + 6*n**2 - 6. Give f*v(y) + u*k(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 132d - 3?\nAnswer: 132a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79, -158, -237, -316?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {b: 4, r: 2, a: 1, c: 7}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 208496 and 118192?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3054 + -10?\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 41940.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (122 - 125)*(88\/(-12) - 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3*x = 6, -8*y + 3*y + x + 6 = 0. Suppose -3*u - w = -2, -y*u = 4*w - 7*w + 6. Solve u = -o + 3*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1339775 - t**2 - 1339775.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, -131, 0, -2\/13 in ascending order.\nAnswer: -131, -2\/13, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 591.765 - 592. What is b rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -711 - -736. Calculate the remainder when 85 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(550) + sqrt(550) - sqrt(550))*6)\/(sqrt(132)\/(sqrt(108)\/sqrt(9)) + sqrt(11))*-4.\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (136\/340)\/(2\/6)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 + 0)*(-2 + 2 - b)*(29*b**2 - 26*b**2 + 12*b - 4*b) as t*b + g + u*b**2 + z*b**3 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 96469456 and 168821548?\nAnswer: 675286192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z - 6. Let n be 0 + 1 - 104\/8. Let l be v(n). Let f be (-8 + 4)*-5 - 0. Solve -w - f = -l*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c**2\/7 + 49335950*c\/7 - 32890636\/7 = 0 for c.\nAnswer: -8222659, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-8)*-4 + (7 - 4). Suppose 3*y - 3*o = 4*y - 21, 2*y + 5*o = 37. Let d(l) = -l**3 + 5*l**2 + 8*l - 8. Let p be d(y). Solve p*z = 3*z + i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -133.\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence khh when three letters picked without replacement from {k: 3, o: 2, m: 1, c: 3, p: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - v - 10. Suppose -33 - 25 = -n. What is the remainder when n is divided by c(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2398 + 4.1143. What is o rounded to one decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) 0.08  (c) -1210885\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f - 1 + 3*f - 7*f. Let y be r(-1). Solve -o + y*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + u - 1. Let l(o) = -12*o**3 + o - 2. Calculate l(p) - 2*q(p).\nAnswer: -14*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**3 + 3*x. Let b(k) = -10*k**3 + 14*k. Let s(v) = -v - 5. Let g(c) = -c + 3. Let r be g(11). Let p be s(r). Calculate p*b(y) - 14*d(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 34 + 11 + 15 - 1025*g)*(-1 + 2 + 0).\nAnswer: -1025*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -121\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - t + 5*t)*(-2 - 4 + 10).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6534 and 16335?\nAnswer: 32670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 428ee (base 15) to base 9.\nAnswer: 351728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1023212956 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54148001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 4:27 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1653464704, 3306929409, 4960394114, 6613858819, 8267323524, 9920788229?\n\"Answer: 1653464705*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164 - 164 + 400*y**2 + 1738*y**2.\nAnswer: 2138*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/(g\/(g**(-3\/11)\/g)*g))\/g)**39)**(-43))**(1\/24) assuming g is positive.\nAnswer: g**(5031\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -3, -84659 in decreasing order.\nAnswer: 9, -3, -84659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18798303 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 5*g - 13 + 27 - 6 - 4*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7362 + 73559\/10. Let d = 165 - 164. Calculate the common denominator of r and d\/(14\/(-234))*7\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*u = 24*u - 176256. Is 72 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/12 and 37\/314376?\nAnswer: 314376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 241957964 to the power of 1\/2, to the nearest integer?\nAnswer: 15555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 1137186?\nAnswer: -1137188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 2:56 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7935 and 25?\nAnswer: 39675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*g - 309 = -1024 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, s: 4}. What is prob of sequence zs?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/(-10)*(55 - 57)*(-5)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (16 + -15 - 0)*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/544 and (-105045)\/64260*3 + 5.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1104*a**4 + 0*a**3 + a**3 - 542*a**4 - 2*a - 551*a**4 in the form t + q*a + i*a**2 + v*a**3 + z*a**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201*v - 1072 = -203 + 538 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1361 (base 7) to base 6\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4715.\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 6 = -4*h, -21 = -h - 5*a + 8. Let u(p) = 0*p + h*p - 5*p. Let i(z) be the third derivative of z**5\/15 + z**2 + 11. What is u(i(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -639*j**3 - 12*j**2 + 382. Let q(a) = -1918*a**3 - 33*a**2 + 1145. Let z(u) = 11*o(u) - 4*q(u). What is the first derivative of z(k) wrt k?\nAnswer: 1929*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 255372622?\nAnswer: 2, 887, 143953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of -r**6\/2 + 4*r**3 + 28*r. Find the second derivative of y(t) wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/2))**(5\/7))**(1\/3)\/((b\/(b*((b\/(b\/(b*(b*b*b**0)\/b*b))*b)\/b)\/b)*b**(-1\/5)\/b)\/(b\/b**0)**(-5\/12)) assuming b is positive.\nAnswer: b**(1219\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 6 = 4*s. Let x(v) = -122*v - 833. Let o be x(-7). Suppose -3*i + 6*i + s*m = -12, i - 4*m - o = 0. Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -85.1?  (a) 0.0276  (b) -2\/9  (c) -1\/18  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21 or -6126?\nAnswer: -6126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 300676580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 2. Let y = s - 0. Let k(g) = g**3 - 3*g**2 + 1. Give k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*x - 87 + 11*x - 17 - 9*x**3 to k*x**2 + g + b*x**3 + w*x and give g.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 50 = 3*p + 2*n, -17 = -p + n. Let s = p - 9. Let d(o) = o**3 - 3*o**2 - o - 3. Let l be d(4). Solve -3 = s*a + l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 10:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3287 - 3282. Solve -a*k = -56*k + 204 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2400608 take away 4.929?\nAnswer: -2400612.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/((-6)\/(-3)))\/(-2). Suppose j*a - 5*a = -10. Suppose -2*v = -3*n + 19, -15 = -5*n + 2*v - 7*v. Solve -i = -5*q + 4*i + 25, -a*i - 10 = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 2) + -3 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7.1 - -7. Let j be 1\/(-1 - (2 + -2)). What is the second biggest value in 4, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhshhshhh. Give prob of sequence hh.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 424 = -6*m + 415 - 865, -5*m - 28 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211020 + -202011210?\nAnswer: -201100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 + 89 = 11*p. Solve -4*q = -p - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 73*s**2 - 50*s - 1503. Let y be u(72). Solve 92*r - y*r + 33 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -19, 0 in descending order.\nAnswer: 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 51\/275 - 1\/275. Let h be 0\/5 - 3\/(-6). What is the closest to -0.8 in q, 5, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157543299 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -3, -5 in increasing order.\nAnswer: -5, -3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 108 = 3*p - 314, -365 = -5*p - y. Let d = -8.3 + 8. What is the nearest to 1 in p, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 7) in base 13?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8728.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 96020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9444*z = -9472*z + 131488. Calculate the remainder when z is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((65\/52)\/(41\/(-82)*(-10)\/1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(22) - sqrt(198) - sqrt(22)))\/sqrt(11)*5.\nAnswer: -75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.03 - 0.13. What is the nearest to h in 0.03, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2 - 2 + 2*v. Let g(n) be the first derivative of -n**4\/6 + n**2 + 2. Let l(m) be the second derivative of g(m). Calculate f(l(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -2, 326, -7 in descending order.\nAnswer: 326, 2, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzdi when four letters picked without replacement from zqdjyyqiqiqziyz.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/9*((-1140)\/(-456))\/((-70)\/(-6))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*q + 10 + 181*q**2 - 20*q + 40*q.\nAnswer: 181*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 3  (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26263 - 25643. Solve 603*w - p*w - 17 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117927 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 548942817 to the power of 1\/2, to the nearest integer?\nAnswer: 23430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 12476.\nAnswer: 1\/12476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrgegrp. What is prob of picking 1 e and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -24 and 1163.1.\nAnswer: -27914.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-56)\/(-3) + 2\/(-3). What is the tens digit of p - (-2 - -1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (4865880\/143136)\/43 - (-5)\/(-7) and -5\/213.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 3*s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, v: 7}. What is prob of picking 1 l and 3 v?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.15 and -6.145699.\nAnswer: 0.92185485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-183)\/1098*(-4)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 5*b + 28 = 0. Let y be -1 - (b + (4 - 0)). Suppose 4*z = 3*z - 4, 2*z - 28599992 = -y*k. What is k rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 23*h**2 + 17*h - 18. Is f(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-140)\/(-105))\/((-10)\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2208745 is divided by 4443?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.050401 years in months?\nAnswer: 108.604812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(143)*6)\/sqrt(11).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -47*c + 47. Is 59 a factor of n(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30600, 122402, 275406, 489606, 764996, 1101570, 1499322, 1958246?\nAnswer: 2478336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4092 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110 and 2255?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/8253 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(3\/5)*f**(1\/7)*f*(f**0)**42)\/(((f*f*f**(3\/7)*f)\/f)\/f**(4\/13))**(-38) assuming f is positive.\nAnswer: f**(37463\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -994 + 1.\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.06 - -0.09. Let u = x - 4.03. Let h = -3221\/11 + 293. What is the nearest to 1 in h, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24327411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 2. Suppose -7*h + u = -4*h. Is h less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5782705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -201 + 191. Which is the nearest to h?  (a) -2\/5  (b) -0.08  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -7. Suppose 0 = -0*r + 3*r - 12. Suppose p*b - r = 8. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 971, 893, 771, 611, 419, 201?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4970 and 26754.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 1312 - 532. Suppose 0 = -102*l + 288 + 222. Suppose d = l*w - d - i, 0 = -4*w + d + 126. 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 greatest common divisor of 15022 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 247992 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 1 + 5 + -11 + -4 - -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 58 and 30972?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 4*k - 45. Let s(b) = b + 34. Let f(c) = c**2 + 11*c. Let u be f(-9). Let g be s(u). Calculate the greatest common factor of g and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -586 - -682. Solve -m + 96 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-12)*36\/5)\/((-351)\/(-1170))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*i - 7*i - 6*i)*(-39*i**3 + 82*i**3 - 12*i**3) to the form w*i**4 + l + n*i**2 + q*i**3 + h*i and give w.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4477493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138889 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 79218260*i**3 - 260*i**2 - 827*i + 4?\nAnswer: 475309560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0*o - 5 = o, 0 = 2*p + 5*o + 4. Let j be 3\/(-2)*(-8)\/p. What is the second derivative of -j*n**5 - 2*n + 4*n**5 - 4*n**5 wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 12. What is the second derivative of -87*z**5 + t*z + 16*z + 26*z wrt z?\nAnswer: -1740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.723643 litres to millilitres.\nAnswer: 9723.643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, p: 4, r: 1, x: 3}. Give prob of sequence cx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000000342 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from ginigyinniniiynugnng.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 21 - 3. Let f = 1197 - 621. Suppose -5*i + 11*i - f = 0. Calculate the greatest common divisor of s and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 468 by 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-1)*(4 - 0). Let j(d) = d**3 - 13*d**2 - 198*d + 3. Let u be j(22). Put u, -5, 5, f in descending order.\nAnswer: 5, u, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-212)\/(-371) + 249\/189 + -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -9. Suppose 4*f = -4, -5*r - 2*f = 1 + i. Suppose -5*w - 128 = -3*k - 0*k, r = 4*k - 2*w - 152. Calculate the greatest common factor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rqvrrqkddkvdkdvr. What is prob of picking 1 d and 2 k?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/297 and -34\/2565.\nAnswer: 28215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -367890 and -0.02.\nAnswer: 7357.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kjkkwkcckcckcyjw. What is prob of sequence yjck?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25288648.\nAnswer: 2, 7, 11, 61, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 13*r - 47. Determine l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/8574 and 95\/1766244.\nAnswer: 1766244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.06, 109.2, 21?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**3 - 12*x**2 - x + 14. Is n(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 + -10. Suppose -8 = z - 10. Suppose -2*t - z*t = 4*x - 4, -4*t - 6 = -x. Solve f + x = -2*u, -p*u + u - 3*f - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 495 and 18587580.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74671132?\nAnswer: 2, 18667783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -28*l**3 + 55*l**2 - l - 19. Let y(d) = -14*d**3 + 27*d**2 - d - 11. Calculate -3*c(j) + 5*y(j).\nAnswer: 14*j**3 - 30*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -1\/21*v**4 + 0*v**3 + 0*v**5 - 8*v + 0 + 1\/105*v**6 + 1\/7*v**2. What is z in d(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 8*o**2 - 13*o - 2. Calculate d(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5907\/10 greater than 591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 3568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 417141897 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 265 and 239560?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21503 + -11291. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -9) + -6*8\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of z**5\/20 - z**4\/6 - z**2 - 4. Let l(q) be the second derivative of c(q). Find the second derivative of l(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 at most as big as 1162\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 22\/5  (b) 1\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -144*i - 252. Let b(s) = 17*s + 30. Let d(z) = -42*b(z) - 5*l(z). Let q(p) = p + 11. What is d(q(c))?\nAnswer: 6*c + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 10 = 4. Let z be 0 + (1 - r) + 4. What is the third derivative of 0*q**2 + 2*q**2 + 2*q**2 - q**z - 5*q**2 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*p + 0*p + 3*p + p in the form h + w*p and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 14980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yymm when four letters picked without replacement from yymmmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 12:57 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30176.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24 is divided by 470\/90 - 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 17 - 20 - -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117) + -3*sqrt(117)*2 - ((sqrt(117) - (sqrt(117) + 2)) + 2)**2.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50891?\nAnswer: 50891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*g + g. Suppose -g*f - f - 5*o = 4, -2*f = -2*o - 8. Suppose 0 = -5*h - f*d + 32, 3*d + 25 = 5*h - 27. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -589*z + 18691 + 10136 = 6445 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 132 + -130. Let i be (-1)\/c + 3386\/4 + 0. Suppose -3*m - 108 = -i. What are the prime factors of m?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/17  (b) -6  (c) -1173  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(28)\/sqrt(2) - 1*sqrt(350))\/((sqrt(112) + (sqrt(112) - sqrt(112)*-4) + sqrt(112))*3).\nAnswer: sqrt(2)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -21 and -4006.\nAnswer: 84126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2881, -2878, -2877, -2878, -2881, -2886?\n\"Answer: -t**2 + 6*t - 2886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5565.164ug?\nAnswer: 0.005565164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**0*k*k**(-7)*k**(2\/9)*k\/k**(1\/4) assuming k is positive.\nAnswer: k**(-181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 301 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 15*k + 15. Let f be a(-14). Let t be 174*((-1)\/2 + f). Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1395554, -5582199, -12559940, -22328777?\n\"Answer: -1395548*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(77)\/sqrt(7) - (4 + sqrt(176) + sqrt(11)).\nAnswer: -4*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -102\/13  (b) -6  (c) -1\/5  (d) 0.2  (e) 321  (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 5) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 660560 rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u + u + 9*u)*(571 - 571 + 197*u) as l + j*u**2 + r*u and give j.\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -96\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 325029261?\nAnswer: 2600234088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 4*y + 12, -3*v - 2*y + 5 = -1. Suppose 16*w - 11*w - 335 = v. Let i = 18 + w. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/2387 and 81\/434?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38173 - 38146. Solve -q = -4*m + 15, 0 = 2*m + c*q - 26*q - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007425 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) + (sqrt(847) - (2 + sqrt(847) - sqrt(847))))**2 - sqrt(847))*-2 + sqrt(14)\/(sqrt(8)\/sqrt(4))*-2 + -4.\nAnswer: -6788 + 196*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43178 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 28*z**2 + 63*z - 96. Calculate x(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 + 29*q + 21. Let z be x(-30). What is the highest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -6*z - 54. Calculate w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(720) - (sqrt(720) + -1) - sqrt(720)) + sqrt(720) + 3 - 5*-2*sqrt(720) - (-4 + sqrt(720) + 1 + sqrt(720) + -4))*-1)**2.\nAnswer: 2112*sqrt(5) + 46201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i - 111*i - 114*i - 9*i as w*i + k and give w.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -38\/3 + 12. Let i be 22\/(-20) + (-6)\/(-4). What is the closest to s in -2\/7, i, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64ac (base 13) to base 10\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*p - 4*n, -3*p - 2*n + 2 = 10. Suppose q - 6*q + 170 = p. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 - b + 33. Let z be l(0). Suppose -z = -2*t + 5*n, 0 = -2*t - 3*t + 3*n + 54. What is the highest common factor of 81 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.32 - -0.12. Let v = -31.2 - t. Let f = v - -26.99999982. What is f rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 26 - 11 - 20623*g - 13.\nAnswer: -20623*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 - 2*g - 2. Let w be s(4). Suppose -3446 - 376 = 7*c. Let u = c + 564. What is the greatest common factor of w and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23 + 440011?\nAnswer: 434433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 339687 + -339683. Find s, given that -2\/3*s**3 + s - 4\/3*s**p + 4\/3*s**2 + 0 - 1\/3*s**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 4*h - 40 = -u, -3*u + 27 = -3*h. Calculate the remainder when 61 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2598447, -2598440, -2598429, -2598414, -2598395?\n\"Answer: 2*d**2 + d - 2598450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 5*p - 308. Suppose -p = 4*m - 9. What is the remainder when (m + (-6 - -3))*-2 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10310, -10313, -10310, -10301, -10286, -10265, -10238?\nAnswer: -10205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1467840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1204539\/(-604368) - 2\/288\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 11*g + 23. Let m = -20 + 32. Suppose -3*i + o + 3 = -8, 2*o = i - 2. Calculate the smallest common multiple of n(m) and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -139839631 - -2020.\nAnswer: -139837611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 11.2. Let w = k - -0.4. What is the nearest to w in -1\/4, -2\/19, 5\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.18 - -0.23. Let o = k + -0.15. Which is the closest to 1\/4?  (a) 0.5  (b) -3\/2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -4*v**3 - 434*v**2 + 214*v - 323. Let u be g(-109). What is the greatest common factor of u and 21809?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 131, 160, 189, 218?\n\"Answer: 29*g + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*t + 35*t = -248 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 359\/(-4)*((-11295)\/15 + (11 - 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -17*l**3*v**4 + 21*l**3 - 102*l**2*v**4 - 26*l**2 wrt v?\nAnswer: -68*l**3*v**3 - 408*l**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77.792 - -18.12. Let q = 0.328 - h. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 34*v**2 + 14*v - 13. Does 13 divide q(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2363 divided by -4571\nAnswer: -2363\/4571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 + 3*d - 718. What is the remainder when 322 is divided by t(-31)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 560 and 18?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -245\/2 + 125. Suppose 0 = 20*j - 11*j. Which is the third biggest value?  (a) j  (b) v  (c) 0.2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 113 + -113.268. Let x = v - -0.3. What is x rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in -5, -16, 1\/4, 1, -25?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -454 at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -26cd + -4?\nAnswer: -26d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 7 + 13 - 26 - 34 + (-6 + 3 + 2)*(1 - 6 + 3))*(g + 6*g - 3*g).\nAnswer: -196*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -292*n**4 + 2*n + 114 wrt n?\nAnswer: -3504*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 24\/16*1328636\/6. Let l = a + -528159. What is l rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*g**4*m + 2582*g*m + 84118*m with respect to g.\nAnswer: 96*g**3*m + 2582*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 165 - 4*b**4 + b + b + 2*b**2 + 3*b**3 + 6*b**3 - 161 - 3*b**3 in the form z*b**3 + d*b**4 + t*b**2 + j + i*b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11.84 - -5. Let v = -7 - f. Round v to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7065368.\nAnswer: 2, 59, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 7*f + 3*d - 19, -5*f - 4*d + 51 = 0. Suppose 14 = f*p - 7. Solve 2*z = -p*a + 5, a + 5 = 2*z - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*2*sqrt(2057) + sqrt(2057) + -2 + sqrt(2057) + 3 - (0 + (-2 + sqrt(17))*4 + -3).\nAnswer: -48*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14896\/3024 + (-4)\/(-54) - -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1496*b + 390498 + 2*b**3 - 390498 to g*b + s*b**2 + n*b**3 + d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/63 and 99\/(-1089) + 263\/132*10?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 7:11 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.44, 0.3, -1, -1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 105 and 970305.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 201, 204, 209, 216, 225?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 1\/5, 3.98, 1828?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 10*m + 60 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 27*c + 7. Let h(z) = -19*z - 5. Let x(w) = 7*h(w) + 5*j(w). Let d(q) = -7*q. Let b(v) = -v. Let t(k) = -6*b(k) + d(k). Give t(x(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 678 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*z = 4*j + 33*z - 17, 4*j = 2*z + 14. Suppose j*k + 13*k = 0. Solve 4*v + 0*v + 2*m = -8, 2*v - 4*m + 14 = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.31 + 0.21. Put -0.5, z, 0.3, -1 in increasing order.\nAnswer: -1, -0.5, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 446 + (0 - 4\/8)*8. Suppose -2*a + w = x, x + 5*a = -201 + 628. Calculate the remainder when x is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -5, -13 in increasing order.\nAnswer: -13, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/5, -2.593, -0.5, -158, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/306 and 11\/1566.\nAnswer: 26622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*p = 10, 2*p = -a - p + 10. Suppose 0 = 4*u - 16 - 0. Suppose -2*b - a*f = -b - 2, 0 = u*f. Solve -3*i - b*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 5*d - 23 = 0, 39 = 5*b - 2*d - 31. Solve 28 = 11*x - b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 645713 + -1058177. Let d = x - -412471.000132. Let u = d + -7. Round u to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10 - ((-11)\/((-462)\/24) + (-630)\/(-98)). Solve 2*i = 5*z - 11, 5*z = n*i + 2 + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m = -15*m - 1. What is the nearest to 1 in -1\/6, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 PM and 9:03 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -1\/5*p**2 + 4\/5 + 3\/5*p = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -2*j**3\/3 - 4*j - 2. Let h(f) be the first derivative of m(f). Let u(p) = -2*p**2. Determine u(h(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000544175 to 5 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-6)*(-3 + (-196)\/(-60)). Let p = -17 - -13. Let z be (-2)\/1 - p\/3. What is the nearest to z in o, -4, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b**2\/8 - 30*b - 387\/2 = 0. What is b?\nAnswer: -6, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 58, -225, -530, -857, -1206, -1577, -1970?\n\"Answer: -11*b**2 - 250*b + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 11451257 (base 8) to base 15\nAnswer: 34925a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1032234895?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.008 in 9, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -q**3\/15 + 1123*q**2\/5 - 1261129*q\/5 + 9316. Determine x so that p(x) = 0.\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 176 - 124. Does 20 divide (v\/(-8))\/(1\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 306 and 204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (0 + (7 - 7 - 9))) + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1563 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = v + 3*v. Suppose 2*j = -v*j + 15. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235161 is divided by 23030.\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/((-8)\/(-70)) + 0. Suppose -4*d = 11 - c. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w + 2. Give r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10633266 (base 9) in base 4?\nAnswer: -103223212323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 13*z**2 + 8*z + 56. Let r be i(-5). What is the highest common divisor of r and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272439 = 14*y + 140071 - 373130. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9334\/3 or 3112?\nAnswer: 3112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 5*y - 4. Let c be u(3). Suppose 2*w = 2*g - 0*g, c*g + 3*w = 0. Suppose 2*d - 4*k = 12, -3*k = -5*d - 7*k + 2. Solve g = 2*v + d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*p = -81, 3*u + 38 - 222 = -5*p. What is the remainder when u is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*l + 5 - 3 + 3*l**2 + 24*l - 10*l in the form t + a*l + z*l**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130254 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 - 18*r**2 + 16*r + 6. What is the remainder when u(-19) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1342 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14110 - -1?\nAnswer: -14106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 12672614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((364\/8)\/(-7))\/(3\/((-54)\/(-9)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -4*a + 9 + 101, -3*a + k + 66 = 0. Let l be -5*(6\/(-3) + 1). Solve l*y + 0*y - a = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 744769 is divided by 1258?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 93*h - 94*h - 11185 = 0, -2*b + 5*h + 5597 = 0. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/24318 and 43\/5389356?\nAnswer: 3120437124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 513950 and 133086.\nAnswer: 63215850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 280 divide 3023780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 160 by -31.\nAnswer: -160\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-357)\/(-425)*-5 + (-8)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -o - 2, -2*b = b - 5*o + 14. Suppose -z = 4*z + 10, -4*z = -i + 6. Let f be i\/(-27)*(1 + b). Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2847 and 438.\nAnswer: 5694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14663320?\nAnswer: 2, 5, 7, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1241 or -5?\nAnswer: 1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -359*a**5 + 7*a**4 - 61*a**2 - 2*a + 11 wrt a.\nAnswer: -21540*a**2 + 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 8855999982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -17*c. Let r(p) = 54*p + 3. Determine t(r(x)).\nAnswer: -918*x - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9623*m + 1131*m - 1276*m = -187*m - 641927 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*q = -j + 74*q + 28 - 209, -2*q + 79 = 11*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.3 and -4755485116.\nAnswer: -4755485115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**2 - 41444*k + 15539760 = 0.\nAnswer: 382, 20340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 76*r. Let d(u) = 81*u**2 + 4*u - 3. Give d(o(p)).\nAnswer: 467856*p**2 + 304*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -911 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1397*l**3*z**2 - 385*l**2 - 3*l*z**2 wrt l.\nAnswer: 8382*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23648 and 9607.\nAnswer: 307424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -17*n + 12*n. Solve o = n*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p**2 - 1 + 1)*(30 + 212 - 30)*(16 + 18*p - 16) to the form k*p + o + i*p**2 + y*p**3 and give y.\nAnswer: 7632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*z = -20*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 4*b - 3464 + 3456 = 0, -b = i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -40*f**2 - 9*f + 13. Let n be q(10). Let v = 1012 - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k*k**2)*k))**(-35)\/(k\/k**2)**(1\/30) assuming k is positive.\nAnswer: k**(-2099\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.3 + 4. Let u = -0.95 - -13.95. Let j = u + -13.1. Which is the third biggest value?  (a) -0.07  (b) j  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5*b - 16 = 0. Suppose -5*d + 1125 = -2*o, -928 = -7*d + 3*d - 4*o. Let x = -217 + d. Calculate the remainder when b is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1344069, 1344077, 1344099, 1344141, 1344209, 1344309?\n\"Answer: o**3 + o**2 - 2*o + 1344069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 16) + (11 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 h, and 1 v when four letters picked without replacement from {i: 2, y: 1, v: 1, h: 1, r: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 5:19 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100000010010001101 - -100001?\nAnswer: -1100000010001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12272 + -12267. Solve -30 = 5*q + x for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 33211, 66461, 99725, 133003?\n\"Answer: 7*h**2 + 33229*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499757 is divided by 1187.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12*(-2)\/12*-2. Suppose r = -0*n + n. Solve n*c = -c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35559 - -67154. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 100  (b) -4457  (c) -7  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**2 + 6*u + 7. Suppose -2*o + 240 = 13*o. Suppose 8*t + o = 56. Calculate a(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2575 + 3834. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b. Let l(d) = 183279*d. Determine j(l(s)).\nAnswer: -366558*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1215, -679, -141, 393, 917, 1425, 1911, 2369?\nAnswer: 2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 512 (base 8) in base 6?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-5) - 32\/(-10). Suppose -i*v = v - 16. Let g be 6*v*2\/3. What is the highest common factor of g and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, 2\/7, 17\/15, 9\/7 in descending order.\nAnswer: 9\/7, 5\/4, 17\/15, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8207, -65981, -222799, -528185, -1031663, -1782757?\n\"Answer: -8254*f**3 + 2*f**2 - 2*f + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 12:02 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6d3 + 2480b?\nAnswer: 24ede","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 1)*(-2*o - 3*o + 4*o + (-1 - 1 + 1)*(-2*o + 2*o + o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of i**3\/3 - 2*i**2 - 5*i + 5. Let x be c(-5). Calculate the greatest common factor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 - 64*l + 291. What is i(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4100?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19 and 93765.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 12 = -2*j + 4, 0 = -5*b - 4*j + 23. Let -8*p**b - 8*p**2 - 5*p**3 + 17*p**3 = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*j**2 + j**3 - 75*j**2 + 155*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8246 and 17596166?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*i = -2 + 197. What is the remainder when 14 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -224 + 31323?\nAnswer: 31044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-106488)\/21692)\/((-3)\/(-44))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 5:54 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + u + 7 + 11)*(-2*u - 5*u + 4*u)*(-2*u + 5*u - 4*u).\nAnswer: 3*u**3 + 39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -7 - 25*f + 3*f**2 - 905*f**3 + 29*f + 0*f**2. Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, 5, 25900, 47 in ascending order.\nAnswer: 1, 4, 5, 47, 25900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20*w**6 + 386*w**5 - 45*w**3 - 74*w**2 - 13902 wrt w.\nAnswer: 2400*w**3 + 23160*w**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -10067*g. Let x(n) = -n**2. Calculate x(s(k)).\nAnswer: -101344489*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p**3 - 2146595*p**2 - 7*p**3 + 2146595*p**2.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j. Suppose -8*s - 55 = -95, -s = -3*a - 8. Let o(c) = -27*c**2 - 2*c. Determine a*o(x) - 4*d(x).\nAnswer: 27*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -1 + -4 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -811 - -544. Let d = -151 - w. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 2*i - 5*h = 2, -4*i - 3*h + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 311 + 45. Suppose p = 10*i - 434. What is the remainder when 310 is divided by i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 + (1 - 2))*8. Let x be ((-6)\/d)\/(45\/(-12)). Let h = -116 - -116. Which is the third smallest value?  (a) x  (b) -2\/11  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-15)\/(-130))\/(3\/6). Put y, -0.2, -3 in increasing order.\nAnswer: -3, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11 - -1434324301?\nAnswer: 1434324250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12679466*m**3 - m**2 - 418353.\nAnswer: 76076796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13, 168, 635, 1588, 3201, 5648, 9103?\n\"Answer: 29*d**3 - 18*d**2 + 6*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 2:52 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, t: 2}. What is prob of picking 2 t and 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -c**3\/3 - 4*c**2 - 3*c. What is the tens digit of u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -502, 0.04, -2\/17 in increasing order.\nAnswer: -502, -2\/17, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + 9 - (0 + 0). Let t be 4\/j*(-6)\/26. Let r = 196 - 192. Put 2\/15, r, t in decreasing order.\nAnswer: r, 2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 17. Let l be -1 - 2\/(-2) - -1. Let x be n\/(-2) - (l - 1). Which is the closest to 0.1?  (a) x  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 22 - 16 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 644548.4 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 6  (b) 9.5  (c) 0.4  (d) 0.08  (e) -452\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (-18 - -22) + -2 + 1 - (-68 - -21).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 271146*w**2 + 813435*w - 7. Give x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.035, 2.5, -15, -12, -1\/27, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/11)\/(t**(3\/7)*t*t))\/(t**(-1\/5))**(-2\/15) assuming t is positive.\nAnswer: t**(-13129\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8.836 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of 1\/54*n**4 + 1\/270*n**6 + 1\/45*n**5 + 0 - 17*n - 2\/27*n**3 - 1\/6*n**2. Factor g(j).\nAnswer: (j - 1)*(j + 1)**2*(j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n + 51 + 33 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + 0. Let v be f*(-5)\/(-3) + -1. Factor t**4 + t + 0*t**4 - t**3 + 3*t**2 - v*t**2.\nAnswer: t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by 643?\nAnswer: -8\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31.96218 + 4.10334. Let x = -27.77 - y. Let t = x - 0.09. What is t rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 4*k**4 + 548448*k**3 + 25065718920*k**2 + 381826093017600*k - 1145703885331500 = 0.\nAnswer: -45705, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q. Let o(l) = -2*l**2 - 62*l - 12. Let j be o(-31). Let v(a) be the first derivative of 7*a**2 - 4*a - 161. Give j*m(x) + v(x).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, d: 2, w: 3, s: 1, f: 4}. Give prob of sequence fw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7376057285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**6\/120 + 7*y**5\/60 - y**4\/4 + 4*y**3\/3 - 3*y**2. Let w(f) = -f**3 + 4*f**2 - 2*f + 3. Let b be w(3). Determine k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -21.08  (b) -1.1  (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3\/7*r**2 - 4\/7*r + 1\/7*r**3 + 0 = 0. Calculate r.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1276582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - f)*(1 - 6 + 3) - 4*f + 4*f + 2*f - 4 + 23603*f - 23896*f + 6.\nAnswer: -289*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8954893 divided by 6.\nAnswer: -8954893\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.05 + 113.05. Let l = s + -114. Let c = 277\/1476 + -5\/36. What is the second smallest value in -2, l, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mdbaddmmddp. Give prob of picking 1 b and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -2*q**7\/21 - 16*q**6\/15 - 12*q**5\/5 + 18*q**4 + 126*q**3 + 324*q**2 + 448*q. Factor b(s).\nAnswer: -4*(s - 3)*(s + 2)*(s + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 287466499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65 + -45. Suppose 0*l + 35 = -5*l - 5*h, -4*l - 2*h - p = 0. Sort 2, l, 1 in decreasing order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -4*g + g + 37, -5*g - a = -65. Let x be (-4)\/(-14) - (-94)\/g. Suppose -2*d = -19 + x. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6123125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -q**4\/4 + 23*q. Let p(d) be the third derivative of 0*d**3 - 5*d**2 - 1\/6*d**4 + 0*d + 0. Determine p(l(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ddtuqqduqitqqddq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 112943*l - 2*l**2 - 113227*l - l**2 + 0*l**2 - 3*l**2 as g*l**2 + w*l + j and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.06 + 6. Let q = 2.94 - d. Let x be 0 - -2 - (-4)\/(-3). Which is the biggest value?  (a) x  (b) 0.4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 690*r + 9571. Determine m(-14).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -89, -349, -775, -1367, -2125, -3049, -4139?\nAnswer: -5395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -11, -1\/2, -1.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16094537?\nAnswer: 839, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -6*x**2 + 10*x + 197. Let t be a(7). Is 37 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 17 - 9 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8592 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*v + 12*v + 168. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 774 or 695?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 25\/(-340) - (-10)\/85. Let b = 37\/68 - l. Sort 1\/5, b, 5, 1 in descending order.\nAnswer: 5, 1, b, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/9 - 22*h**2\/9 + 28*h\/9 + 16\/3.\nAnswer: -2*(h - 2)*(h + 1)*(h + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 103711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -34 divided by -18657\nAnswer: 34\/18657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-7) + -6*2\/42. Let g = 30.09 + 3.11. Let o = 33 - g. What is the nearest to z in 4\/3, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.8 + 3. Let z = -0.35 + g. Let u = -0.25 + z. What is the biggest value in u, 0.02, -1\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*w, 5*m = -5*w - 295. Let c = m - -105. What is the highest common factor of c and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 14\/41  (c) -0.4  (d) -0.6  (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -577.6 times 3\nAnswer: -1732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddddhgddddgddddddgd. What is prob of sequence dggh?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 12, o: 7}. What is prob of sequence oo?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.299 * 0.5.\nAnswer: -0.1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**3 - 24*f**2 - 2*f + 29. Suppose 80*p + 12 = 81*p. Let z be j(p). Let l(u) = -u**3 - 4*u**2 + 6*u + 5. Let a be l(-5). Solve -z = c - a*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -z**6\/165 - z**5\/660 - 127*z**3\/3 - 42*z - 2. Let s(y) be the second derivative of v(y). Factor s(c).\nAnswer: -2*c*(12*c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-4)*(-4)\/6. Let y be -3*o - 2*-1. Let k = -10 + 10.1. Which is the closest to -2\/3?  (a) -2\/23  (b) k  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s. Suppose -2*z = -5*z + 9. Let p(w) = z*w + 0*w - 4*w. Calculate p(o(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/9 - (29 - 32). Let n = 3 - -6. Suppose -16 - n = -5*i. Solve -i*w - 5*r + 3*r + 7 = 0, r = -b*w + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 58660 divided by 28\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/36 - (0 - 6\/88). Let h = -2 + -5. Sort c, -0.5, h in ascending order.\nAnswer: h, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1758 is divided by 1099?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + t**2 - t - 1. Let b(x) = 14*x**3 + 20*x**2 + 4*x - 4. Let s(m) = 2*m + 1. Let w(r) = -b(r) + 8*s(r). Determine -12*l(c) - w(c).\nAnswer: 2*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.5, 4, 371?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2366415717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.004 - -2.704. Let z = -3 + l. Let m = z + 0.299. Round m to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**2 + 5*z**2 + 13*z**3 - 8*z + 3*z - 12*z**3 to the form y*z**2 + d*z + a + f*z**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001564771 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/154 and 43\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*z**2 - 18*z**2 + 0*z - 2*z**4 - z**3 - 7*z + 36*z**2 to n*z**3 + s*z**2 + x*z**4 + p*z + v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ktth when four letters picked without replacement from {k: 1, r: 1, h: 1, t: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*b - 2*b. Solve 1 + b = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -256.2801 - -0.2601. Let p = -278.6 - i. What is p rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*y**6 - 59*y**2 + 4 + 12*y**5 - 13*y**6 + 125*y**2 + 12*y**6 wrt y?\nAnswer: 720*y**3 + 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1851 - 1852. Sort -2, m, 84.\nAnswer: -2, m, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200588 is divided by 129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z - 12. Let w be m(9). Let q = 51 - 26. Solve u + 2*i + w + 0 = 0, -5*i - q = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - n - 58 = n, -73 = -3*t + 5*n. Suppose v = -0*v + t. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 10) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -4, -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -83 - -147. Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -315596, -631204, -946812?\n\"Answer: -315608*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9227a5 + 4?\nAnswer: 9227a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l**2 - 4*l**2 + l**2)*(0 + 0 + 3*l) - 3*l**3 + 5*l**3 - l**3 - 1 + 1 - 2*l**3 + (-2*l**2 - l**2 + 2*l**2)*(2 - 2 + l) + 23*l**3 - 18*l**3 + 12*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.09  (b) -1\/2  (c) 0.4  (d) 332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -611*p + 4824. What is g(8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85179.5ml to litres.\nAnswer: 85.1795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/sqrt(125) + -2.\nAnswer: -2 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 12:03 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - ((-4)\/(-2) + -1). Suppose c*u = 4 + 5. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20.1 + 18.1. Let i = 2.04 - 0.04. Let m = 2.1 - i. Put m, -0.2, g in decreasing order.\nAnswer: m, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 160 + -110. Let z = d + -59.9. Let u = 7.9 + z. Which is the closest to 0.2?  (a) -1\/6  (b) -3\/7  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ohdhohdhhddddd. What is prob of sequence dodd?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2. Let i(y) = 171 + 174 - 524 - 924*y + 179. Determine i(z(b)).\nAnswer: -1848*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*z + 60165894 = -8*z + 101*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -3. Let f be ((-5)\/x)\/((-2)\/(-18)). Let w be ((-3)\/f)\/(1\/33). What is the greatest common factor of w and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*k = 109522 - 41302. Suppose 5*z = 0, 5*s - 2066 = -4*z + k. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79906001879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f - 394*o + 398*o - 8, -25 = 2*f - 5*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.73426 to 2 decimal places.\nAnswer: -25.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.046 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 15 = -0*s. Let q = -3 - s. Solve 12\/7*d**q - 2\/7*d**3 - 24\/7*d + 16\/7 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1039709.\nAnswer: 11, 31, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -5*y + 68. Let k = 11 + 9. Suppose -11*r + k*r - 72 = 0. Solve j - y = -5*c, -r*j - 5 = 5*c - 3*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5299766*d**5 - 40041*d**2 - 2*d + 10 wrt d?\nAnswer: -317985960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 1 + 4 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -118 - -120. Suppose n*u = 5*a, -3*u + a - 4*a = -21. Solve 7*s = 2*s + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 4, -94, -37, -2\/13, 2.\nAnswer: -94, -37, -1\/2, -2\/13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + 13*c + 25. Let z(i) = 3*i + 6. Let u(r) = 2*j(r) - 9*z(r). What is the least common multiple of ((-75)\/10)\/((-3)\/4) and u(3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*r - 3*r + 4*r - 10*r to v + q*r and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 81*m**2. List the prime factors of r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 163108556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 41*x**2 - 105*x + 26. List the prime factors of r(-13).\nAnswer: 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.7 - 0.1. Do z and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.07 and -48.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*i = 14. Suppose i + 4 = v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 27\/(-12)*4\/(-3). Suppose j*h + 19 = 7. Let x(k) = 7*k - 1. Let g(f) = -f. Let p(w) = 5*g(w) + x(w). Give p(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 93*x**2 + 104*x + 1114. Determine l(-92).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-224)\/(-8)*133\/1. Suppose 0 = -15*l + 22*l - x. List the prime factors of l.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 3*d - 21, 0 = -4*g + d + d - 22. Let b be (-5)\/g + (-3)\/(-9). Let a = 0 + b. Solve 4*r = 3*r + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of 2*z**6\/3 + z**5\/4 + 45*z. Determine p so that x(p) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -h**3\/6 - h**2\/2 + 669*h. Let t(r) = r + 1. Calculate -6*l(y) - 5*t(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 1) + 2 - (7 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t + 1. Let b be 42\/(-8) - 9\/12. Let a = b - -1. Determine d(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 - 17*j**2 + 76*j + 8. Is 19 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112 + 20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20*(10\/220)\/((-14)\/(-231)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 850361685.\nAnswer: 3, 5, 1889, 30011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/3  (b) -3\/14  (c) -0.1  (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 10*v - 43. Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45020 divided by 11255?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 2:24 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1453*h*r**5 - 2*h*r**3 - 384*h*r wrt r?\nAnswer: 29060*h*r**3 - 12*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 87\/30)\/((-91)\/(-2002))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w - w + 2*w + 3 + 4*w - 2*w**2. Suppose 2*d = -3*d + 5*u, 2*d - 5*u + 9 = 0. Determine o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 1.7, 3\/7, 1447.7, -483?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**2 - 44*q - 148. Suppose 199*f + 2767 + 815 = 0. Give m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 561125 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -5*s**3\/6 + 28*s**2 + 7*s + 4. Let a be f(10). Solve 2*m + 4*u = a, -2*u - 11 = 5*m + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + 68.6.\nAnswer: 71.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 6, 0 - 8 = -o - 2*q. Solve 0 = o*k + k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0074342 rounded to four dps?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 4*p**2 + p - 3. Calculate g(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 552 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*v = -4*c + 42, 5*c + 5*v - 60 = 0. Suppose -6*r = -r - c. Let d = 9 - 5. Solve -r = -d*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.153 times 5?\nAnswer: 5.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 4, 0, 10683, -4 in decreasing order.\nAnswer: 10683, 4, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cu when two letters picked without replacement from uhchqqhcpqcuhqcqhc?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -166 + 295. Suppose 0 = -13*r + w + 79. What is the remainder when 158 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 407*f + 482*f - 6 to k + d*f and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -7438*b. Let w(r) = 9*r. Give u(w(d)).\nAnswer: -66942*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3163920452.4 and -0.3.\nAnswer: 3163920452.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/6)\/((-4)\/18). Let x be (1 + y)*(-27)\/(-6). Let s be x*(-8)\/6 - -3. Solve 5*k - 4 - s = -4*c, -2*c - 1 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -21  (b) 823  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 24  (b) -0.1  (c) -10.16  (d) -2  (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l - b + 12, 70 - 138 = -4*l + 6*b for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -6, -42, -98, -168, -246, -326, -402, -468?\n\"Answer: s**3 - 16*s**2 + 5*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4b53 - -4?\nAnswer: 4b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11942?\nAnswer: 2, 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2435385*b**2 - 2435385*b**2 - 295*b**4 - 386*b**4 + 164*b**4 - 721 wrt b?\nAnswer: -2068*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + -3 + (-3 - -12). Suppose 3*n = g*n - 35. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -251864  (b) -5  (c) -0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 2*v + 0)*(0 + 2 - 4).\nAnswer: -4*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 2355?\nAnswer: -2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(50) - 4*sqrt(200)))\/(4*-2*sqrt(250)).\nAnswer: 7*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {m: 1, t: 3, j: 3, e: 1, a: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/8 + 5\/20. What is the nearest to 3\/5 in b, 0, -5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -187\/14 + 4217\/224. Which is smaller: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nsep when four letters picked without replacement from ppneoss?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -3. Let k(t) = 8 - z*t - 8. Give k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 1:54 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 8*b - 18 = -168 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3811*s**2 - 103*s - 200. What is the tens digit of f(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 10 = 2*a. Suppose 12*v - 251 = 37. Suppose v = a*y - 4. Solve 2*n - y = 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85526*n - 102242 = -84588*n for n.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 2:36 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/3 + (-17)\/3. Let a be 10 + (-3 - -4) + -2. Let s = a - b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-4302.42\nAnswer: -1290.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.42 - 0.02. What is the third biggest value in -1, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-305)\/(-25) - (-2)\/(-10). Suppose -2*f = 4*f - j. What is the tens digit of (f\/4)\/(4\/104)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3631, 3, 16, -18, 0 in increasing order.\nAnswer: -3631, -18, 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4173*l*t*y**3 + 1171*l*y**3 + 79626*t*y**3 - 2*t*y**2 + 2*t - 30*y wrt l?\nAnswer: 4173*t*y**3 + 1171*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 284, 283, 282?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v + v + 2*v - 4*v + 1. Let f(z) = z**2 + 4*z. Let o be f(-4). What is t(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o**5 + o**5 + 2*o**5 + o**5 - o**5 + 2*o**5 - 4*o**5 - o + 2*o + 17*o**5 + (o**3 - 3*o**3 + 4*o**3)*(-9*o**2 + 3*o**2 + 5*o**2).\nAnswer: 11*o**5 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*l + 7*l**3 + 3*l**4 - 9*l**2 + 37*l + 7*l**2 + (4*l**3 - 3*l**3 - 2*l**3)*(1 - 2*l - 1) in the form y*l**3 + c*l**4 + u*l + p*l**2 + t and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.2 - 1.8. Which is the second smallest value?  (a) -1  (b) l  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q - 5. Let z(f) = 11*f - 14. Let m = -16 + 19. Let n(j) = m*z(j) - 8*w(j). Determine n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 3*h + 5. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + (18 - -10) + -24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -45*i + 46*i, 7*f + 3*i = -43 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24187 - -24186.999975806. What is r rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (88 + (81 - 250))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 489\/6 - (-6)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29 and 9019.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 226 (base 7) to base 12.\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + (-159)\/(-165))\/(2\/(-10))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*o + 2*x, -2*o - 5*x = 2*o - 25. Suppose -3*j - 6 = v, 3 - 4 = -o*j + 2*v. Put -3, -5, j, 4 in decreasing order.\nAnswer: 4, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 5:10 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o**(2\/3))*o)**26)**(-10)\/((o**(-1\/2)\/o)**(-5)*(o*o**(-3))\/(o*o**(-5)\/o*o)) assuming o is positive.\nAnswer: o**(-577\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -160 by 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 139 = 4*w - 2, 2*f - 32 = -w. Is 35 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-6))\/(12\/39)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 2*n + 15 = 0, -w - 56 = -4*n - 71 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ouaah. What is prob of sequence uha?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -411877 divided by -671?\nAnswer: 411877\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 998429*f**5 - 12*f**3 + 176*f**2 + 3*f - 9240?\nAnswer: 59905740*f**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -1604*f**2. Let l(z) = 6*z**2. What is l(w(g))?\nAnswer: 15436896*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 125 - 115. Solve 2*c - h = 7*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1408, 4\/5, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d3d12 (base 14) in base 4?\nAnswer: 3333313130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 21 = -3*g, 5*g - 4*s = -5*s + 35. What is the units digit of (-33)\/77 - (-5589)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/10)\/(1012\/460). What is the second smallest value in -9, -7, 3, c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 47050 and 1139551.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-42)*(-90)\/11*375\/(-1250)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**3 - 2944817*d**2 - 5889637*d - 2944819 = 0.\nAnswer: -1, 2944819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of 31*h**5\/20 + 5*h**4\/12 + 8*h**2 + h + 65. What is the derivative of m(z) wrt z?\nAnswer: 93*z**2 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10041, 10047, 10053?\nAnswer: 10059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 828 = r. Let f = r + -183\/2. Factor 1\/4*p**2 + 1\/4 + f*p.\nAnswer: (p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -112231114 + -1?\nAnswer: -112231115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 5010, -396?\nAnswer: 5010","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14.1 - 8.1. Let n = h - 10. Suppose 7*t = 2*t + 20. Which is the third smallest value?  (a) t  (b) 0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**8\/42 + r**5\/30 + 5*r**3\/3 + 12. Let n(l) be the third derivative of m(l). Find the second derivative of n(p) wrt p.\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4898*g + 4926*g = -588 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/(-3))\/(4\/(-6)). Suppose 3*r + 12 = 3*m, -2*m - 4*r + g = -1. Let s be ((-1)\/m)\/(5\/15). Is s greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 17 = -3*n - 1, 0 = -3*k - 3*n + 15. Solve 0 = -4*v - k + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -361 + 252. Let m = q - -129. What is the lowest common multiple of m and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72*x**4 - 43*x**3 + 2*x - 162421 wrt x.\nAnswer: -864*x**2 - 258*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4715984 to the nearest integer?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9333*m**3*n**2 + 5*m**3 - m**2*n**2 - 569*m**2 - 3*m*n**2 - 4*m wrt m.\nAnswer: -55998*n**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2. Let z = 19 - 19. Let k(q) be the third derivative of 0*q - 1\/12*q**4 + 0 + z*q**3 - 3*q**2. What is g(k(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23.6 + -24. Let q be (-2460)\/(-46)*(-2)\/(-1345). Let a = 2\/269 + q. Sort 1, m, a in descending order.\nAnswer: 1, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 64\/((-20)\/(-5))*492582\/(-12). Let o(n) = 73388*n. Let y be o(2). Let m = w + y. What is m rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 30 + 5 = 0. Let m(u) = -4*u**2 + 6*u - 1. Let s(l) = l**2 + l - 1. Let n(j) = -m(j) + s(j). List the prime factors of n(i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -1 - 4 - 5 + r**2. What is the units digit of f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 24*l**2. Let s(n) be the first derivative of 31*n**3\/3 - 209. What is g(s(j))?\nAnswer: 23064*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6.278501 and 0.06.\nAnswer: -0.37671006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**2 - 5*s**2 + 24*s**2 + 30*s**2 - 15*s**2 + 2*s**2.\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -9*p**4 + 5*p**3 + 5*p**2 + 5*p - 2. Let g(z) = z**4 - z**3 - z**2 - z. Let a = 1 - 0. Let f(r) = a*u(r) + 5*g(r). Differentiate f(k) wrt k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 6418\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21588 - 13323. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 181 - 365 + 183 - 346*y**3 as t*y**2 + g + r*y + d*y**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7187, -7183, -7177, -7169?\nAnswer: -7159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17.9 + 2.9. Let d = w + 15.1. Is -19 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.256 rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*c - 180 = -0*c, -5*w + c - 323 = 0. Let z = w - -73. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 + 4*p + 4. Let f(u) = -3*u**2 - u - 1. Let s be f(-1). Let l be q(s). Suppose v - 3*k + 23 = 3*v, 4*v = 3*k + 1. Sort v, 2, l.\nAnswer: l, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 20065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 82, -5, 25898, -1, 4, -3, 3.\nAnswer: -5, -3, -1, 3, 4, 82, 25898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 * 687.5\nAnswer: -20.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1095 divided by 219\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) + sqrt(77) + (sqrt(77) + -2*sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))*6)\/sqrt(11))**2 - (2 + (sqrt(252) - (2*sqrt(252) + sqrt(252))))**2.\nAnswer: -1012 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9043 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + (1 - 0))\/(-5). Let t = -0.99 - -0.09. Let p = -0.1 + t. Sort 3, p, h.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25?  (a) -2\/41  (b) -17  (c) 0.1  (d) -5\/2  (e) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -592 + 854. Let j = -138 - u. Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**4 + 0*s + 0*s)*(-3 + 3 + 2) + (5*s**3 - 14*s**3 - 20*s**3)*(7*s - 10*s - 9*s).\nAnswer: 346*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -191*s**2 - 4*s + 27*s - 228*s**2 + 103 + 731 - 22*s wrt s.\nAnswer: -838*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/52764 and 17\/19908.\nAnswer: 87535476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 + 5*l**2 - 7*l - 6. Let k be t(-6). Suppose 5*o + k = 15. Suppose 225 = o*b + 2*b. Solve 4*h + 5*r = -b, -h + 0*r + 5 = -2*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 PM and 6:46 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1100 + -23098\/21. Suppose 21 = -4*g + 5. Let a be (-4)\/70*(-20)\/g. What is the smallest value in a, -0.3, q, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10566\/17 + 445489\/714. Find the common denominator of v and 173\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 32.72 from 0.\nAnswer: -32.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*r - 11 + 11)*(r - 6*r + 3*r).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 189\/(-18)*132\/77\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 12:05 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/164  (b) -0.05  (c) 0.4  (d) -62\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -4*g**4 - 100*g**3 + 328*g**2 - 224*g = 0.\nAnswer: -28, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 5, -163\/3, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*b**2*o**3*y**2 + 5*b**2*o*y**3 + 3*b**2 + o**3*y**3 - y**3 wrt y.\nAnswer: 30*b**2*o + 6*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.3 - 4.32. Let d = -4.98 + b. What is the biggest value in 2\/3, d, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c**2 + 10. Let r be s(-5). Let u be 1\/((30\/r)\/6). Let a = 57 + u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - s)*(-1 + 5 - 3) + (0 - 4 + 5)*(2*s - 1 + 1)*(-2 + 2 + 3).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3\/4, 12022, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100859*z**2 + 92 - 92.\nAnswer: 100859*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 7. Let c be h(3). Suppose 0*d + 3*d = 114. Suppose -3*t + c*n = -8*t + 62, -5*t + 4*n = -d. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 92008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 + -27. Let c = n - -1. Find the second derivative of c*h**5 - 6*h - 2*h - 2*h**5 + 0*h**5 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 188*w - 746. Let p be h(4). Sort 0, p, -2, 5, 4 in descending order.\nAnswer: p, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 49 = -5*z, -30 = z - 4*z - 3*t. Let h = -15 - z. Let c be (1 + 1)*(-3)\/h. What is the closest to c in 5, 0, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 233 - -2?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 6*u**2 + u. Let d(l) = -l**3 + 8*l**2 + 2*l - 27. Calculate -d(r) + 2*h(r).\nAnswer: r**3 + 4*r**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + -5)*(-5)\/(-75). Sort t, 4, -2\/3 in increasing order.\nAnswer: -2\/3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 62*h - 157. What is y(-62)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*z + i + 524, 3*z = i + 306. What is the remainder when 308 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 139663 divided by -1\nAnswer: -139663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 406 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**4\/24 + 4*l**2. Let j(b) = -4*b. Determine i(j(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 2)\/1 + 1. Solve v*h - 3 = 2*y, -y - 6*h + 4 = -2*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + 6. Let u(w) = -w + 14. Let g be u(t). Solve -i + 4*q = -13, g*q = 7*q + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 214175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 205201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(117) + 0 + sqrt(117) + -5 + 1 + (sqrt(117) - (sqrt(117) + sqrt(117) + 2) - sqrt(117)) + -2 + 1)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -25*n**4\/48 + 15*n**3\/4 + 5*n**2 - 17*n. Let r(q) = 0. What is q?\nAnswer: -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 + 0)*(0*m - 2*m - m)*(11238 + 752 + 718) to the form l*m + g and give l.\nAnswer: 76248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10715*l + 86991 wrt l.\nAnswer: -10715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -72*a**3 + 2931*a**2 - 112079*a?\nAnswer: -432*a + 5862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45674e (base 15) in base 14?\nAnswer: 62328c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 31 + 73 = 0. Calculate the lowest common multiple of (-3 + d\/(-10))\/(3\/(-60)) and 85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36370 + 131245. Let v = y - 47375. Round v to the nearest one thousand.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/48433 and -55\/272?\nAnswer: 774928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46.99768 + 47. Round a to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: -510.02 times 849\nAnswer: -433006.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 904018793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -212226 (base 7) in base 13?\nAnswer: -139b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*v - 5*a + 111, -3*v + 4*a = -87. Let l = v - 10. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42245, 84467, 126689, 168911, 211133, 253355?\nAnswer: 295577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 153 = -4*d, 0*q + 3 = -q. Let g = 39 - d. Let a = g - -100. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 368*s - 448. Calculate the smallest common multiple of b(18) and 6.\nAnswer: 18528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 2278 + 10. What are the prime factors of a?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.9 - 6. Let z be (-6 - 2)*(-1)\/14. Which is the nearest to x?  (a) 1\/10  (b) 0.3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g**5 - 37415*g**4 + 2*g**2 + 61001*g.\nAnswer: -20*g**3 - 448980*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 6*w**2 - 2*w + 8. Let k be n(6). Let p = -637.8 - -638. What is the second biggest value in p, k, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 624173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = r - 4. Let z(s) = 3*s**r - 7*s**2 - 3*s**2. Let v(a) = -a - 2 - 3 + 5. Calculate z(v(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.55966372 rounded to 3 decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**17\/c*c*c)**(-14)\/(c*c**(-3\/11)*(c**(19\/4)*c)\/c) assuming c is positive.\nAnswer: c**(-11329\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 168\/(-70)*40\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(108))**2 - sqrt(108))*-4.\nAnswer: -1728 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-126)\/9)\/28*-16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 + 2)*(-288 + 359 + 0*x + 5*x - 4*x) in the form f + o*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 214117.\nAnswer: 31, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 4\/(-3) + 12654\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10\/3 + -3. What is the nearest to 2 in 2, 0, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2718 = -2*s + 27820. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 15, 0.3.\nAnswer: -1\/3, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 1413 divide 86077134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -1.5. Sort p, 0.3, -1\/4.\nAnswer: -1\/4, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8738 (base 9) in base 4?\nAnswer: 1210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -63*d**2 - 15. Let p(w) = 31*w**2 + 7. Let f(j) = -13*p(j) - 6*y(j). What is the derivative of f(q) wrt q?\nAnswer: -50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.016?  (a) 5  (b) -3\/10  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7818653?\nAnswer: 7818653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -412*q + 1303*q + 315*q in the form o + t*q and give t.\nAnswer: 1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*g - 50063656 = 108233778 + 40009479. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-28)\/42)\/((-2)\/3). Suppose 4*x + 5*z = -0*z + 21, -x + 2 = -2*z. What is the units digit of (l\/(-3))\/(x\/(-348))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 5:29 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 2*g - g + 97 = 0, -2*g - 34 = -s. Let m = 8 - s. What is the remainder when 61 is divided by (1 - 7)\/(9\/m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4698 is divided by 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of c**2 - 3*c - 9. Determine s(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, m: 2, k: 1, l: 1, a: 2, d: 4}. What is prob of picking 3 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/195627 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 110742 by 2.\nAnswer: 55371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 1:51 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 1 + 11. What is the second derivative of u*o - 10*o**3 - o + 0*o**3 - 2*o wrt o?\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-132)\/(-616)*98\/(-504)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 122280488238 from 0.07.\nAnswer: -122280488237.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -16. Suppose 7*o = 2*o + w*k - 253, 200 = -4*o + k. Calculate the remainder when (o\/14)\/((-2)\/28) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 + -11 + 6 + -122 + 24.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9353 - -3908. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 11:44 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1556*o = -1547*o + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -45, -59?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -602*p + 5. Let w(f) = -195*f + 12. Calculate b(w(t)).\nAnswer: 117390*t - 7219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21573\/4, -0.3, 0.02 in decreasing order.\nAnswer: 0.02, -0.3, -21573\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -25.1, 3\/5 in decreasing order.\nAnswer: 3\/5, 2\/11, -25.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m + 12*m = -3. Let s(t) = 3 + 2*t + t - m. Let z(q) = 2. Let v(h) = -h**2 - 7. Let p(b) = 2*v(b) + 7*z(b). What is s(p(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 200)*(-11)\/22. Suppose -3*z = 2*z - b. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12782 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: Work out -0.9 * 1278725.\nAnswer: -1150852.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 249791, 249792, 249793?\nAnswer: 249794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -f, 3*h = -3*f - 0*f. Solve -s - 4*a - 11 = -0, -3*s + h*a = 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97076, 194161, 291260, 388379, 485524, 582701, 679916, 777175?\nAnswer: 874484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -823\/6 - -2381\/18. Find the common denominator of o and -24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 46 = u - 68, 5*u = 4*l - 150. Calculate the remainder when 911 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -512 + 511. Which is greater: 26\/87 or x?\nAnswer: 26\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1425, 2860, 4297, 5736?\n\"Answer: a**2 + 1432*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/13 in 5, -5\/2, 0.713?\nAnswer: 0.713","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**5 - 5*l**5 + 2*l**5 + (0*l - 2*l**3 + 0*l)*(2*l**2 + 2*l - 2*l) + 3*l**5 + 3*l**5 - 5*l**5 - l**5 - 3*l**5 + 3*l**5 - 3*l**5 - l**5 + 2*l**5.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 857118677.\nAnswer: 14929, 57413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 4*s + 4, -5*s = 4*w - 24 + 2. Suppose -3466 = w*k - 25. Round k to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.43\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1381.564 * -0.316.\nAnswer: -436.574224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 126 + -118. Let r(k) = -2*k**2 + 16*k + 24. Calculate the smallest common multiple of 9 and r(s).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (-160)\/(-25)) + 1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 684  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 0) + 111 + -121.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -5*i - 0*i + 28, 0 = -4*o - 16. Suppose -11 = -i*c + 1. Suppose -24 = 7*t - 94. What is the least common multiple of c and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 3, 100, -10, -4.\nAnswer: -10, -4, -1, 0, 3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ctd when three letters picked without replacement from {c: 3, d: 8, i: 1, k: 4, t: 3}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 - 12*b - 5. Let l be 4\/14 - (-375)\/35. Calculate m(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -69. Let r = k + 93. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 921*h + 22. Let y be o(5). Let t be y\/119 + (-2)\/(-17). Suppose -4*l - 3 = -t. Solve m = -2*f + 5, 4*m - f - l = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 65 + -45. Suppose -30 = -0*s - 3*s. Suppose -3*m - s = -58. What is the smallest common multiple of v and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -529, -524, -513, -496, -473?\n\"Answer: 3*o**2 - 4*o - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 20*k - 16*k - 10*k - k**2. Determine i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253573 is divided by 215.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 136101702859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u + 22 = 49491*o - 49488*o, 12 = 3*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34, 95, 196, 337, 518, 739, 1000?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -2\/9  (b) -4\/5  (c) 3  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 474045?\nAnswer: 3, 5, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13777.2 - -13774. What is the third biggest value in 1.3, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128014 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 5*z - 6. Let m(h) = -6*h + 7. Determine 6*m(r) + 7*p(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 66, 508, 218 in ascending order.\nAnswer: 66, 218, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r - 1. Let q(t) = 3*t - 5. Let w be q(3). Let c(z) = w + 5 - 21 + 13. Determine 3*c(v) + 3*y(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18 + 5266?\nAnswer: 5247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00134381 rounded to five decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 608 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12\/(-10))\/((-4)\/(-160)). Let m = -7 - p. Suppose 2*c - 17 - m = 0. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -z**4 - 4*z**3\/3 - 2*z + 4. Let v be o(-3). Suppose 4*m + d - v = 0, 0*m - 5*d = 4*m - 62. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 60 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1137 + 1137. Factor 2\/7*t**2 - 6\/7*t + w.\nAnswer: 2*t*(t - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -87*u**4 + 289*u + 14. Let g(k) = 58*k**4 - 193*k - 10. Let v(p) = 7*g(p) + 5*l(p). Find the second derivative of v(z) wrt z.\nAnswer: -348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2412167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(2\/7)*t**(-5\/4)*t*(t\/(t**(1\/3)*t*t)*t*t*t)**(-3\/17) assuming t is positive.\nAnswer: t**(-123\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 38, -0.2, 2\/5 in ascending order.\nAnswer: -16, -0.2, 2\/5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.024  (b) 0.3  (c) -11  (d) 0.5  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -37034?\nAnswer: -37034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2254 - -1596. Let c = -653 - t. Solve -6*d + 3*d + c*o = -26, -5*o - 18 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -146, -332, -518?\n\"Answer: -186*p + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 8 + n**2 + 0*n**2)*(25 + 20 + 138).\nAnswer: 183*n**2 + 1281","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s + 12 = -20*s. Let d(p) = -2*p + s*p + 2*p. Let g(z) = -12*z. Give d(g(j)).\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - l = -3*l, 3*p = -5*l + 4. Let w = -0.34 - -5.34. Sort w, 2, p.\nAnswer: p, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 648 and 504576?\nAnswer: 1513728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(-1115*h**2 + 1115*h**2 - 83*h**3) + (1 - 1 - 2)*(2*h**3 - 5*h**3 + h**3) - 4 + 4 - 2*h**3 - 7*h**3 + 29*h**2 - 29*h**2.\nAnswer: 161*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q**2. Let h(f) = -9*f**2 - 13. Let l(y) = 0*y**2 + 6*y**2 - 4*y**2 - 3 + 6. Let d(r) = -6*h(r) - 26*l(r). Give o(d(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 8\/20)*5. Suppose -5*j = v + p, 2 = -v - j - 3*j. Suppose w - m = -0 + 38, 5*m + 79 = v*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 7*m - 4. Let k(i) = 6*i**2 - 127*i - 2. Give x(k(o)).\nAnswer: 42*o**2 - 889*o - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 4*v**2 + 4*v - 1. Give u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -9\/4*v + 3\/4 + 9\/4*v**2 - 3\/4*v**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 - u**2 - u**2)*(1 - 2 - 3)*(-2 + 2 - 1)*(17 - 17 + 2*u**2).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 27*j - 377. Let b be t(14). Let l(o) = 39*o**3 - o**2 + 1. What is l(b)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 13 = b. Suppose 10 = 2*h + x, b*x - 1 = -2*h + 3. Solve 0 = -3*y + 6 + h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -209.5 - -210. Let d = 2041 - 14184\/7. Let g = 15 - d. Which is the third biggest value?  (a) -2\/5  (b) m  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*l**2 - 65*l + 0.\nAnswer: -l*(l + 130)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -h**6\/280 + 11*h**5\/140 - 13*h**4\/28 + 8*h**3\/7 + 30*h**2 - h. Solve l(s) = 0 for s.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**3 - 2*t**2. Let j(n) = -n**3 + n**2. Suppose 5*f + 2*s = 6, f - s - 6 = s. What is f*j(q) + m(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 113, 2, -19111, 0 in descending order.\nAnswer: 113, 2, 0, -19111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 248 divide 1647711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -143, -282, -419, -554, -687, -818?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -6*a + 14. Suppose 3*f - 65 = -5*o + a*f, 0 = -5*o - 2*f + 70. Suppose -6*c + o*c - 4506 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(20\/7))**(-1\/12)\/(g\/(g**(-3\/10)*g))**(-28\/5) assuming g is positive.\nAnswer: g**(757\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -1. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/5))**49\/((y**(-5)*y)\/y*y**4))**(-4\/21) assuming y is positive.\nAnswer: y**(124\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 91259179?\nAnswer: -91259179.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (1 - 3) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 10. Let y = 0 + -8. Calculate the remainder when -2*2\/y*2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1901 and 101.511.\nAnswer: 192972.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + 11. Let g be -1*9*(22\/(-6))\/1. Suppose -4*d = 3*v - m, -d - 3*d - g = -v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 z when four letters picked without replacement from {l: 5, z: 2, i: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z + 15 = -3*r + 5*z, -3*r - 6 = -2*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 88425 - 62815. Is y a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.23111 - 9.23111. Which is the closest to -0.2?  (a) 6\/13  (b) 1\/2  (c) s  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of -c**6\/20 - c**3 - 10*c**2. Differentiate j(o) with respect to o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8034*p = 4873*p - 218109 for p.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-18 - -8 - (-10 + 3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*w - 200547 = 3809 + 281284. List the prime factors of w.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 69486788 and 7?\nAnswer: 69486788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 45903*k**5 - 6*k**4*s**3 - 4488*k*s**3 + 27*s**3 wrt k?\nAnswer: 918060*k**3 - 72*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 20 - 8. Let h be (a - -4) + 7 - 11. Let j(p) = p**2 + 7*p + 7. Let f(d) = d**2 + 6*d + 6. Calculate h*f(v) + 6*j(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -110923758*o**3*u + 2*o**2*u - 812*o**2 + 2*o*u + 7*o + 2*u + 134 wrt o.\nAnswer: -665542548*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -73*n + 16. Suppose 29 = -p + 20. Is l(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -8\/4541343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 160?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -393 + 288. Let w = k + 105.00255. What is w rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 970 = 3*v, 0 = 5*x + v + 2*v - 2425. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/24 and (-3)\/(-5) + (-757)\/120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 621?\nAnswer: -2\/621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oofqoooofo.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-4*sqrt(119))\/(sqrt(77)\/sqrt(11)*-2).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3199709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 479054, 479058, 479062, 479066, 479070, 479074?\nAnswer: 479078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5616318731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from {d: 3, s: 13}?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 18*j - 21 - 8. Which is the biggest value?  (a) -2  (b) j  (c) 7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, f: 8, t: 1, o: 4, h: 1}. Give prob of picking 1 h and 1 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.8 + -11.6. What is the nearest to 0 in -1\/3, y, -13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, i: 4, l: 2, c: 3}. Give prob of sequence bl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135939 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7402 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 3*g + 24, 4*d - 3*g = -22 - 2. Let i(h) = h**3 + 8*h**2 + 7*h - 5. Calculate i(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u + 3642 = 2170 - 5128. Calculate the greatest common factor of 6930 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 75 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b = -12*b + 42. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1780770 is divided by 99.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) 95  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -608 = 4*k + 204*f, 79*k - 1 = 84*k + 2*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/((-9)\/(-2))*((-270)\/12)\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3636 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 101*p = 102*p + 44, -3*t + 3*p - 18 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 22*v**2 - 107*v + 179. Let l be q(16). Put -7, -58, l in decreasing order.\nAnswer: l, -7, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*h = 60*h + 4. Solve -h = 2*w - 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6936*l**3 + 43*l - 43*l - 3470*l**3 - 3465*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55 + 80. Let q = v + -15. Suppose -58 = q*z - 178. Calculate the highest common factor of z and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000259 rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 86547?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3315*m + 3327*m = 60. Let f(j) be the third derivative of -1\/40*j**6 + 0 + 0*j**4 + 0*j**3 + 0*j + 1\/10*j**m - 4*j**2. Factor f(h).\nAnswer: -3*h**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 11*r + 31490. Determine j(172).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 4, 1\/5, -2889\/7, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((6\/(-16))\/(6\/(-16)))\/((-176)\/561).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 divided by -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2243924279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -735.4 + 736. What is the closest to -0.4 in w, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - 1. Let v be (-2)\/4*(-9)\/(-36). What is the second biggest value in v, -2, 4, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100588 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 288748.\nAnswer: 2, 37, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.872565 decades?\nAnswer: 0.00872565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*x = a - 5, x - 50 = 3*a. Let u = a - -19. Solve 2*p = u*f + 24, 0*p + 2*f + 6 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**0)**(-50)\/(((o\/(o\/(o*o**(-3)))*o)\/o)\/o**(-2\/7)))\/((o\/(o*o**0))**17)**5 assuming o is positive.\nAnswer: o**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/9)*d)**48*d**(-8\/5)*d**(-4\/9))\/((d**(1\/3))**(15\/4)\/((d*d**(2\/9)*d)\/((d*(d\/d**(-6)*d)\/d)\/d))) assuming d is positive.\nAnswer: d**(5267\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*v**3 + 105138*v**2 + 16569*v + 75 wrt v?\nAnswer: 72*v + 210276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3127 smaller than 625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*b. Suppose b = 3*a - 9. Calculate the remainder when 9 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (9 + -2 - (-26 + 19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -122166.773 rounded to the nearest ten?\nAnswer: -122170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -6 - 9 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 1 + 4)*(3 + 0 - 2) - 14 + 4 - 6 - 2 + 0 + 0)*(4*b - 4*b + b**5).\nAnswer: -19*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12104 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12134.8199 rounded to the nearest integer?\nAnswer: 12135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2357*c**4 + 739*c**2 - 3*c.\nAnswer: 56568*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -5, -1, 11 in ascending order.\nAnswer: -5, -1, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 564*-16\nAnswer: -9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d - d**3 - 4 - 4*d**2 + 1 + 6*d**2. Let r be b(2). Find the common denominator of 49\/2 and (r - 1) + 445\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -262.\nAnswer: -3\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - (-5)\/((-10)\/(-12)). Suppose 2*q + z = r, q + 0*r + 2*r = 0. Is 22 a factor of 1\/((-3)\/(-69)) - q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 24*a**2 + 20*a + 67. Let o be w(-4). Calculate the highest common divisor of o and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30 + 60. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/2)\/(8\/112). Let j(a) = -2*a**2 + 7*a + 7. Let t(b) = -2*b**2 + 6*b + 6. Give d*t(q) - 6*j(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 6:11 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1521 - 1049. Let d = v - 472.06. Is -0.01 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 13*u**2 + u - 2. Let y be j(-13). Let n be ((-5)\/y - 33\/(-9)) + -4. Suppose o - 41 - 20 = n. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -293549\/25 + 11740. Calculate the common denominator of -53\/45 and l.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 3 - 66 = 0. Let m(z) be the third derivative of z**5\/30 - z**4\/12 + 7*z**3\/6 + 7*z**2. Calculate the remainder when m(7) is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 3:11 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 775318, 1550632, 2325946, 3101260, 3876574?\n\"Answer: 775314*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/137474336 and -59\/4.\nAnswer: 137474336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2*(sqrt(7) + sqrt(378)\/sqrt(6)) + -5)**2*-5.\nAnswer: -9460 - 1600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 45 + 29 = 0. Suppose -2*d + 10 = 3*d. Suppose -4*t = 2*w, -5*w + n*t - d*t = 0. Solve 0 = -5*h - 2 + 7, w = 2*o + h - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -45, 5, 0, -33, 2, 102 in decreasing order.\nAnswer: 102, 5, 2, 0, -33, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 73564886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -155*i**2 + 666*i - 666*i + (2 - 2 + 2*i**2)*(-5 + 3 + 4) - 3*i**2 + i**2 + i**2 - 3*i + 3*i + 2*i**2 - 5*i + 3*i**2 + 5*i.\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -71*l**2 - 16*l - 1. Let f(z) = -241*z**2 - 50*z - 4. Calculate -2*f(q) + 7*s(q).\nAnswer: -15*q**2 - 12*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 108078 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -c**3*s**2 + 47*c**3 + 2*c**2 - 6*s**4 wrt s.\nAnswer: -2*c**3*s - 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of 0 + p**2 + p - 1\/6*p**3 + 1\/12*p**4. What is the units digit of q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -11*g**2 - 1753*g - 21467. Give u(-146).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10657\/1656 - 5\/552. Let l = q - -52\/9. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 10 = 3*d, 2*p = 5*d + 11. Let q(v) = -v**4 + 3*v**3 + 3*v**2 + 5*v. Let j(a) = -4*a**3 - 4*a**2 - 4*a. Let h(b) = p*q(b) - 3*j(b). Factor h(l).\nAnswer: 2*l*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**5\/5 - 1864*m**4\/5 + 179252*m**3\/5 - 977152*m**2 = 0. What is m?\nAnswer: 0, 55, 64, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 359 = -5*u - 3*m, -u + 5*m = -63. Suppose 0 = -5*i - 3*l + 46 - 268, -176 = 4*i + 2*l. Let b = i + u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -266*(-17 + 3792\/224).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 9) to base 15.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + f**2 - 1. Let o(m) = 15*m**3 + 21*m**2 - 30. Let n(b) = 126*c(b) - 6*o(b). What is the first derivative of n(k) wrt k?\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 3584688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 4*l - 1352, l + 1329 + 337 = 5*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*t**5 - 22*t**3 + 1015*t**2 + 618267*t?\nAnswer: 40*t**3 - 132*t + 2030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -286 + 123 - z**2 + 87 + 64.\nAnswer: -z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 679 = 4*k. Suppose 2*s - 156 = -z, -4*z + k = -2*s - s. Suppose -g - 2*g = -n - z, n = -1. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 18*s**2 - 14*s + 73. What is the lowest common multiple of y(-17) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18\/7?  (a) -2  (b) 57  (c) 3  (d) 0.4  (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/(-4))\/(((-201)\/(-536))\/3).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 - -15. Solve -m = 4*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15971 is divided by 166?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21.046 + -0.046. Let t = -1648 - -1648.04. Which is bigger: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2621 + 36695\/14. Is -74 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**29*u**(15\/2)*(u*(u**29*u)\/u)\/(u*u**(5\/3)*u))**(-1\/22) assuming u is positive.\nAnswer: u**(-377\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1134.91 - -1135. Let s = -0.76 + 0.46. What is the nearest to -0.1 in s, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 + 35. Let o = -13 - j. What is the lowest common multiple of 6\/(-9) - (-14)\/3 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -50 - -105. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -232922830 divided by 1083362?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 3. Suppose 2 = 5*f - 48. Calculate the lowest common multiple of f and (-5)\/(-5)*(4 + m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l - 7. Let o be d(9). Let u(m) = 10 - 8*m - m + 0*m**o + m**2. Let a be u(9). Solve -r + 5*h + 10 = 0, 2*h + 3*h + a = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -407*i + 197*i + 673 - 26 + 532 - 707*i wrt i?\nAnswer: -917","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h\/h**(11\/5))*h\/(h*h*((h*(((h\/h**1)\/h)\/h)\/h*h)\/h)\/h*h*h))\/(h**15)**(-12) assuming h is positive.\nAnswer: h**(906\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20200 - -4111?\nAnswer: 24311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 13 = -2. Suppose 3*m - 116 = -m + 3*f, 0 = s*m - 5*f - 87. Solve 5*d = 4*g - m, 7 - 16 = 2*d + g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + (-4 + sqrt(3) + (sqrt(3) - (sqrt(33)*4 - sqrt(33))\/sqrt(11)) + sqrt(3) - ((sqrt(12)\/sqrt(4) - sqrt(3)) + 1 + (sqrt(27)*-2)\/sqrt(9))))**2.\nAnswer: -28 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*o - 5. Suppose -74*c = -85*c - 1980. Let f be 64\/(-45) + (-40)\/c. Sort -4, f, -0.3, o in ascending order.\nAnswer: -4, f, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-5))\/t*t)**(-39)*(t**(-1\/8)\/t)**(28\/5) assuming t is positive.\nAnswer: t**(-2403\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**0\/v*v*(v**3*v)\/v*v**6*v**(-3\/2) assuming v is positive.\nAnswer: v**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, -2, 24311?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/((n\/(n*n\/n**(-3\/4)))\/n*n)*n**20 assuming n is positive.\nAnswer: n**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, m: 1, d: 2, l: 4, h: 4, e: 1}. Give prob of picking 1 s and 1 l.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w - 3*w + 6*w + (-3*w + w + 3*w)*(0 + 2 + 2) - w + w - 3*w)*(-w + w - w - 2*w**4).\nAnswer: -4*w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2.3, 5, 8 in descending order.\nAnswer: 8, 5, 2.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 552362*200.\nAnswer: 110472400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(784)*1*-6 + (sqrt(784) - -1*sqrt(784)*4))\/(5*(sqrt(768) - (sqrt(768) - sqrt(768)*1))\/sqrt(6)).\nAnswer: -7*sqrt(2)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 69795\/21714*(-10)\/25.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2541004166?\nAnswer: 2, 23, 61, 179, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 14171.23.\nAnswer: -14171.23","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54588 is divided by 18191?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + 1 - 1)*(3 - 3 - 5)*(85*k**2 + k - 23*k**2 + 105*k**2).\nAnswer: -1670*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*x + 3*x + 12. Suppose 3*z - 3*o - 547 = 2*o, -x*z + 542 = -4*o. Is z + 99\/(-22) + 2\/4 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17882\/25 + 278877\/275. Let l = o - 299. Let c = -55673.931 + 55674. What is the second smallest value in c, -2\/21, l?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 194879, 388690, 582501, 776312, 970123?\n\"Answer: 193811*c + 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68565 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c + 2 + 25 = 0. Do c and -21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 + d. Let q(i) = -245*i**3 + 14*i**2 + 14*i. What is 42*l(m) - 3*q(m)?\nAnswer: 735*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = o - 2*b, -24*b + 22*b = 4 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.5 - 0.5. Let v(q) = -q**3 - 3*q**2 + q - 1. Let r be v(-3). Let j be (-15)\/70*r\/(-2). Which is the third biggest value?  (a) n  (b) 4\/5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 280*l + 17282. What is t(-55)?\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 5*l**2 + 4*l - 2. Let s be z(4). Is (s\/4)\/((-2)\/140) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of d**3\/3 + d**2\/2 - 2. Let y be g(0). What is the second derivative of y*m + m + m**5 - 3*m**5 wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*b**6*y + b**5 - 13*b**3*y + 1667*b**2*y wrt b.\nAnswer: 600*b**3*y + 60*b**2 - 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 255910.3509 rounded to the nearest one hundred?\nAnswer: 255900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 13.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 11*f - 4. Let u(k) = 32*k - 11. Let c(x) = 8*r(x) - 3*u(x). Determine c(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/4)\/2*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**4\/3 + 212*b**3 + 7097*b**2\/3 + 4324*b - 20704\/3 = 0. What is b?\nAnswer: -8, -4, 1, 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/155 and -47\/2?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of -10 + 1\/6*a**4 - 2*a + 0*a**2 + 0*a**3 + 1\/10*a**5. Let i(y) be the first derivative of m(y). Factor i(d).\nAnswer: 2*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (81\/(-126))\/(-3)*(-8)\/3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qvvqvrqqvqqrrqrrqqq. Give prob of picking 2 r.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/4 - (-11)\/4. Suppose -5*p + 14 + 4 = 4*o, p - z*o = -4. Suppose 2*a - 3*a - 20 = -3*g, 5*a = -25. What is the second smallest value in g, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 - 3*a**2 - 5*a**2)*(2*a - 2*a + 4*a) - 252*a**3 + 138*a**3 - 263*a**3.\nAnswer: -397*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -22 + -5 + (36 - 17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5508560 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**3 + 4*v**2 - 5*v - 6. Let z = -12 + 6. Let g(b) = -6*b**3 + 11*b**2 - 14*b - 17. Let l(o) = z*g(o) + 17*y(o). Give l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -3*y - 3*y + 2*y. Let x(k) = 59*k**2 + 56*k**2 - 117*k**2. Determine a(x(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 343552969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 PM and 11:49 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**5\/7 - 1569*a**4\/7 + 22965*a**3\/7 - 52935*a**2\/7 - 206928*a\/7 + 603504\/7 = 0.\nAnswer: -3, 3, 4, 11, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 + -26.9. Let f = 0.2 + -0.4. Which is the closest to q?  (a) -3  (b) 1\/6  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 5*i = -28, 0 = -q - 0*q + 5*i - 1122 + 1148 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*(555\/(-9))\/(-37). Let s(t) be the third derivative of t**4\/24 - t**3\/3 - 2*t**2. Let x be s(4). Solve h*i - x*i = 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 410.0052 - 0.1652. Let n = j + -408.139968. Let k = -1.7 + n. Round k to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -7*x**5 - 6*x**3 + 69*x - 6. Let r(a) = -8*a**5 - 5*a**3 + 70*a - 5. Let g(d) = 3*l(d) - 4*r(d). What is the second derivative of g(t) wrt t?\nAnswer: 220*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.239729735 + 0.090790187. Let i = p + -10.551047152. Let w = -10.7 - i. What is w rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -85 + 83. Let j be (t\/(-7))\/((-8)\/(-112)). Suppose a = b + 482, -4*b + 2049 = j*a + 97. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -60544346 (base 7) to base 16\nAnswer: -4cd9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of 196*g**5\/5 - 77*g**4 + 128*g**3\/3 - 8*g**2 - 5. Factor b(u).\nAnswer: 4*u*(u - 1)*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -v - 2*v - 102, 0 = -4*v - 16. Suppose 0 = d + o - 28. Let r be ((-2 + 2)*(-3 - d))\/(-3). Solve r + 5 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 (base 13) in base 5?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3803 and 1663?\nAnswer: 6324389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/3  (b) 273640  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -487.6 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*sqrt(2299))**2*2.\nAnswer: 18392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -5*l**2 - 2*l - 3. Suppose y - 6*y = -10. Let q(a) = 4*a**2 + a + 2. Give y*o(w) + 3*q(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -209*s + 159. What are the prime factors of q(-8)?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -211*r**2. Let i(t) = 16*t + 17*t - 31*t. Determine p(i(q)).\nAnswer: -844*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/8 - (-819)\/5096?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2208291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6316 is divided by 288.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -7) + -2 - (11341 + -11371)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-22))\/(1236\/(-2266))*(-2 + -19). Let k(x) be the first derivative of x**4\/4 + x**3\/3 - x**2\/2 + x - 2. Let h be k(0). Sort j, 4, h.\nAnswer: j, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -6. Let r = -4 - p. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 704484 is divided by 394.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 57 - -303. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23589 and 12.\nAnswer: 94356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-101)\/(-39) + (-1)\/(-3). Let t be 14 + 19\/((-9633)\/6786). What is f in t*f**5 + 2*f**2 + 12\/13 + 58\/13*f - 66\/13*f**3 - d*f**4 = 0?\nAnswer: -1, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 278.3254mg to micrograms.\nAnswer: 278325.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5680 divided by -2\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 6. Suppose -4*d + 33 = a. Suppose -2*h = -0*h - d. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1595 + 3279\/2. Suppose k - 3 = -1. What is the common denominator of (-162)\/(-16) + k + 0 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1923.7 - 1923.69982761. Round t to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 1 = -5. What is the units digit of (0 - g)\/(4\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 112701, 225403, 338105, 450807, 563509?\nAnswer: 676211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6 - (-3 - 18\/10))*-420 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttlllllttlll. Give prob of sequence tt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 5:07 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -295\/3 - -533\/6. What is the third smallest value in -1, l, -2\/17, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1530668497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 + 2 - 2)*(-2*f + 0*f + 4*f) + (0*f + f - 3*f)*(2*f**2 + 4 - 4).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 51.79 - 418.09. What is u rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -174 (base 10) to base 2.\nAnswer: -10101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.07*11.571.\nAnswer: -12.38097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4433525.3 rounded to the nearest 10000?\nAnswer: 4430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25957861.\nAnswer: 17, 1526933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of 0*u**4 + 13\/70*u**7 - 8*u + 22\/3*u**3 + 2*u**2 - 1\/60*u**6 + 0 + 0*u**5. What is the first derivative of k(n) wrt n?\nAnswer: 156*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2139677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224324.\nAnswer: 2, 56081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1*10\/(-3)*(-10 + -50)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 3*h + 35 = 0, -15 = 3*i + i + h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 296948*l + 13*l**3 - 296948*l.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 6*o**2 + o. Let i be h(-1). Suppose -2*k = i - 1. Let w = -483\/640 - -3\/640. Which is bigger: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 8:29 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2743*v + 2747*v - 33 = 3*y, -4*v - 11 = y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, j: 2}. Give prob of picking 2 j and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -5*y**3 + 2*y**2 + y. Let a(l) = 24*l**3 - 7*l**2 - 5*l + 16. Determine a(n) + 4*t(n).\nAnswer: 4*n**3 + n**2 - n + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 7 + 2 = 0. Let g = -0.3 - 2.2. Let l = 1.5 - g. What is the third smallest value in 5, n, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of 10 - 12 - 3*k**3 + 4*k + 8 - 10*k. What is the derivative of a(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 AM and 8:58 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 2*i + 28, -12*y = -10*y + i - 11. Solve 4*v + y = 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(50)*4)\/(sqrt(1440) + sqrt(1440) + sqrt(1440)*-2 - sqrt(10)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2)\/b)**(14\/9)\/(b\/(b*b**(2\/5))*b**3) assuming b is positive.\nAnswer: b**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6745, -6636, -6423, -6106, -5685, -5160, -4531?\n\"Answer: 52*f**2 - 47*f - 6750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mko when three letters picked without replacement from suekkkuuskmuom?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -10b9b + -6b2?\nAnswer: -11580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -121096*a**2 - 12*a + 48. Let d be o(-8). What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11255 (base 6) to base 10.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 - 17*n**2 + n + 94. Let d be c(-6). Sort 2, -2, d in decreasing order.\nAnswer: 2, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand s + 3*s - 6*s + (4*s - s - s)*(-4 + 1 + 1) + s + 0 + 0 + 4*s + s - 4*s - 2*s - 3*s + 6*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/72*(-88)\/(-11)*(-3)\/63*-22?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 6*t**3\/5 - 252264*t**2\/5 - 66911328*t\/5 - 4423047552\/5 = 0.\nAnswer: -132, 42308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by 10?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l**4 + 333*l**3 + 1017*l**2 + 1023*l + 342 = 0.\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + i = 42. Let d(k) = -18*k + 6 - i*k**2 - 4 + 4 + k**3 + 22*k. Let r(s) = s**3 - 5*s**2 + 3*s + 5. Calculate 5*d(o) - 6*r(o).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 234608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 245.9405 - 332.49\nAnswer: -86.5495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.08  (b) 3\/4  (c) 2  (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = -3*j - 4*k, 2*j - 2370 + 2334 = 5*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 0 + 1)*(-2*r - 2*r + 5*r) + r + 0 + 0 - 158*r + 286*r - 312*r)*(3*r - 3*r + 2*r) in the form b + a*r + p*r**2 and give p.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 8*m - 5. Let p be d(5). Let j(z) = 40*z**2 - 74*z**2 + p*z**2. Let h(i) = 37*i**2. Calculate h(j(a)).\nAnswer: 37*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8944 divided by -4?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 195 and 14586?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 5*m + 53. Calculate the lowest common multiple of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -188*l + 1465. Determine d(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 648217, 648198, 648179, 648160?\nAnswer: 648141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -6*n + 3 - 4*n + 2. Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**4*c*(c\/c**(-4))\/c)\/(c**(-1)*c\/c**(2\/11)))\/(c**(6\/11)*c**3)**(-13) assuming c is positive.\nAnswer: c**(608\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 1150*l**3 - 5*l + 113. Let p(i) = -1151*i**3 + 6*i - 126. Let y(j) = 4*o(j) + 3*p(j). Find the second derivative of y(n) wrt n.\nAnswer: 6882*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is -101328115 at least as big as -101328117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 271128.82 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8025 is divided by 406?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(35)\/(sqrt(25)\/sqrt(5)))**2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -190  (b) 58  (c) 0  (d) 9  (e) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -146 - -140. Is a smaller than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41110369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (82 + 235 - 7)*(-l + 2*l - 2*l)*(-2 + 1 - 1) to g*l + a and give g.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (0 + 1)*(-90 - -620)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -621 != -624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-6)*(1 + 1). Let o be k - -15 - 42\/14. Let v(y) = -y**3 + 14*y**2 + 23*y + 7. Is v(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 5*f, -f + 0*l = -3*l + 6. Suppose f*m - 5*m + 74 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.96834 + 1.26834. Let g be (-4)\/(-6) + 4\/(-9). Let f = 0.496 - 0.5. Which is the second smallest value?  (a) g  (b) f  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 4 + -1*sqrt(98))*1.\nAnswer: -7*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2027 a factor of 18930153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*k**4 - 54147*k**2 + 64460 with respect to k.\nAnswer: 8*k**3 - 108294*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117 - 65 = 26*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -5*w**3 + 5*w**2 + 3*w + 4. Let f(t) = 6*t - 14*t**3 + 11 - 9*t**2 + 5*t**2 + 18*t**2 + 2*t. What is 3*f(x) - 8*o(x)?\nAnswer: -2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24\/(-10) + 2 + (-1161756)\/(-465)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -226 + 92 + 74 + 83.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.26601 - 26?\nAnswer: -25.73399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**6 + 51*h**2 - 2*h**6 - 42*h**6 wrt h?\nAnswer: -5520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1421980 is divided by 284379?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ybhb when four letters picked without replacement from bbyvbbih.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -7*t - 3 + t**2 - 9*t + 15*t. Let a(b) = -b**2 + 8*b + 2. Let f be a(7). Suppose -2*y = y - f. What is i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 2 = 257. Find the second derivative of -34*c - c**2 + 11*c**4 + c**2 + l*c wrt c.\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + w**2 + w. Let l be i(0). Let c(u) = u - 3. Determine c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -12 - 8. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/32 in 2\/5, -3, 12.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 105\/15532 and -127\/2558544.\nAnswer: 28143984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/979 and -81\/3560?\nAnswer: 39160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/5)\/((-2548)\/(-910))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus 7480495426?\nAnswer: -7480495426.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -109643, -7\/60, -1 in ascending order.\nAnswer: -109643, -1, -7\/60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/210 and -37\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2475751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.26 less than -9541?\nAnswer: -9538.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 9:11 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011000001010110 - -100011011?\nAnswer: 11011000101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-30)\/(-35))\/(6\/21). Suppose 8*v + s = 9*v. Suppose 2*l = 3*p - 7, -v*l - 5 - 1 = -3*p. Let t(k) = -4*k**3 + k**2 - k. Calculate t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1267 + 476*f - 1267 to the form q + t*f and give t.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22b973 (base 16) to base 9.\nAnswer: -4247604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 151341, 302690, 454039, 605388, 756737, 908086?\n\"Answer: 151349*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2688221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*i**4 - 3 + 50*i**3 - 102*i**3 + 18*i**2 + 54*i**3 + 3*i to the form o + u*i**4 + f*i**2 + w*i**3 + c*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 171 - 203 = 0. Suppose -3*t + b + 15 = 0, 12*b = -4*t + h*b + 4. Solve t*o - 2*j = -8, -o - 19 = 2*o + 5*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34356 + -3.\nAnswer: -34359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 1386*w = -1383*w - 7, -u = -3*w - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*n - 2*k - 3 + 1 = -50*n, 0 = 5*n + 5*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/(-285))\/(34\/136)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1578 divide 77506626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**5 + 184*j**4 + 1500*j**3 + 2120*j**2 - 1504*j - 2304 = 0. Calculate j.\nAnswer: -36, -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 73\/3 + -24. Let y = 13 - -5. Suppose -2*h - 4 = 4*k - y, 5*h - 14 = -3*k. What is the second smallest value in 7, 0.1, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/8)\/((-2)\/4). Let s be 0 + -3 + 0 + 1. Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -269464 by 150.\nAnswer: -134732\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u**2 - 73*u + 73*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 646*x - 663*x + 34. Let g(h) be the third derivative of -1\/27*h**3 + 0 + 1\/270*h**5 + 0*h**4 - 5*h**x + 0*h. Find d, given that g(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -139, 511, 2295, 5741, 11377?\n\"Answer: 88*u**3 + 39*u**2 - 83*u - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12797410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 - 21*i - 15. Let f be a(-20). Sort 116, f, 1, 0 in decreasing order.\nAnswer: 116, f, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 4. Let f be 6\/1 + (-73)\/(-1). Let z = t + f. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 42514.45 to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 13*f**2 + 11*f + 14. Let x be o(12). Suppose w + 0 = -2*r - 4, -6 = x*r. Solve -3*i - 28 = -6*p + w*p, 3*i + 16 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-2 - 1) - (30 - 22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2247.8 + 2247.8. Let w = 13.88 + -15.9. Let d = 0.02 + w. Which is the closest to o?  (a) d  (b) -2\/17  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**4)**(-1\/13))**10 assuming y is positive.\nAnswer: y**(-40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/309 and -91\/4156734?\nAnswer: 428143602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1589 - 672. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 21*p*t**2 - 203955*p + 2*t**2 - 9*t - 90380 wrt p?\nAnswer: 21*t**2 - 203955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -99 + 104. Let a(b) = -b + 2. Calculate a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7700 = 61*q + 23*q + 224*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 - -96. What is the second smallest value in -2, -10, -0.3, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56 + 71 - 10*y - 200 - 68.\nAnswer: -10*y - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 - 10. Suppose -g*i = -11*i - 396. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -65378630?\nAnswer: -65378633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 9. Suppose h*f + 2*p - 30 = -2*p, 0 = 2*p + 10. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 - 12*j**2 + 15*j + 8. Determine g(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -4*p**2 - 14*p + 9*p + 0*p**2 + 5*p + 5*p. Let q(n) = 5*n**2 - 6*n + 1. Give 4*i(o) + 3*q(o).\nAnswer: -o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8901 + -3692. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 11) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -799*y + 800*y = 6 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1344, 1784\/3, 1.6, -4?\nAnswer: 1784\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/a**6*a\/a**(-2\/11)*a)\/(a**(-4\/7)\/a*a**(-4)) assuming a is positive.\nAnswer: a**(289\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**5 - 1 + 2*o + 1 + (5*o**3 + o**3 - 10*o**3)*(0 + 0 + 2*o**2) + (3*o**3 - 3*o**3 - 2*o**3)*(4*o**2 - 2*o**2 + 0*o**2) - 3 + 3 - 2*o**5.\nAnswer: -13*o**5 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**15*(z*z**(5\/2)\/z)\/z)**(2\/45))**(-7\/8) assuming z is positive.\nAnswer: z**(-77\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 57 = 3*r + 3*b, 0 = -r - 2*b + 34. Calculate the greatest common factor of 216 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-39))\/((-90)\/110 + 24\/(-132))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3, 4*l - 3245 = -2*j + l. Let p = j + 6360. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91 = -d - 120334*u + 120339*u, -u = -2*d + 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14*l*m**2 + 35*l*m - 15331363*l + 2*m**2 - 345*m wrt m.\nAnswer: -28*l*m + 35*l + 4*m - 345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1642 + -490936\/299. Calculate the common denominator of 3\/874 and s.\nAnswer: 11362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -7*s. Let n(c) = -2*c + 4. Let q(m) = -2*m + 7. Let v(i) = -7*n(i) + 4*q(i). Determine o(v(j)).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 0 + 1)*3\/9. Let y = -0.6 - 0.4. Sort -0.5, y, q in increasing order.\nAnswer: y, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of q**2*s - 2*q*s**2 - 27*q*s - 26*q - 4*s**2 - 2*s + 468 wrt q?\nAnswer: 2*q*s - 2*s**2 - 27*s - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -224 - -223.9747. Round p to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-7 - (-13 - -4) - (12 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by 177.\nAnswer: 7\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 12*m**4 + 21*m**4 - 11*m**4)*(15*m + 21*m - 35*m).\nAnswer: -2*m**5 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2581\/15 - -857\/5. Is s not equal to 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - ((-351 - -309) + (0 - -14)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.6299 - 0.6299. What is the second smallest value in 73, z, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8056, -7997, -7958, -7939, -7940, -7961?\nAnswer: -8002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 12*r - 58. Let c be n(5). Factor -5\/6*v**c + 1\/6*v**3 - 1\/2 + 7\/6*v.\nAnswer: (v - 3)*(v - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = z - 34, g - 6 + 5 = 0. Suppose 2*f - z = -5*j + 1, -28 = -4*j - 2*f. Let v = j - -20. Which is smaller: 27 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6360 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10 + -5 - (3 + 2). Suppose -4*u + 3*q = 6*q, -4*u + 3*q = t. Factor 0*o - o**2 + u + 1\/2*o**3.\nAnswer: o**2*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 6*n - 6. Let j be -6 + n + -861 + -2. Round j to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 732\/2119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b - 207*x + 195*x - 51, -5*b = -10*b - 5*x + 20 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 0*s**4 + 0 - 1\/9*s**3 - 1\/6*s**2 + 1\/30*s**5 + 1\/90*s**6 + 3*s. Determine q so that c(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56.623 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2096 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + 18908\/2702 + -10)*(-14)\/(-4). Which is the second biggest value?  (a) 2\/11  (b) z  (c) 4  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1729560768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 4*p - 2 = 24, 5*h + 5*p - 60 = 0. Suppose 5*v = 2*g + h, 8 = -g + 4*v - 2. Which is the closest to -1?  (a) 1\/2  (b) -0.5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 10 = 2*m + 11, 17 = m - 3*h. Suppose -5*s = -m*c - 27 + 14, 4*c + 3*s = 39. Solve -q + c = -3*y, -5*q + 6*y = 3*y + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + -18 + -10 + 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 799 is divided by 131?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 509418050.\nAnswer: 2, 5, 10188361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/4))**(6\/19))**(-40)*p**(4\/7)\/((p**(4\/11)\/p)\/p)*(p\/(p*p**(2\/5)\/p))**42 assuming p is positive.\nAnswer: p**(223588\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*q + 238 = 10. Which is the third smallest value?  (a) 0.3  (b) -0.8  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*l**2 + 2*l**2 + 1 - 10*l**2 + 196*l - 1141*l**3 - 3 wrt l.\nAnswer: -6846*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a - 14 + 0 + 4 + 3*a**2 + 0. Let s(m) = m + 1. Let q(z) = i(z) + s(z). What is f in q(f) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 4:57 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/106 or -6.8?\nAnswer: -7\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 142 - 140. Suppose 4 = 3*u - 2*u. Suppose 6*n = 4*n + u. Solve n*q - 11 = -p - l*p, p + q - 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 1:05 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u + 6*u - 5 - u. Let z be c(5). Suppose 2*s - 15 = -s. Solve -a + 17 = 3*n, 0*n + 5 = -z*n + s*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -1, -628 in decreasing order.\nAnswer: -1, -2, -3, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/255864 and 115\/1343286.\nAnswer: 5373144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-364)\/39)\/(-14))\/((-22)\/803)*(-33)\/44?\nAnswer: 73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-22)\/(-8))\/(27\/(-60)) and -113\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 344138?\nAnswer: 2, 172069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*l**3 - 944*l**2 + 2*l + 944*l**2.\nAnswer: -53*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 4*i - 1282 - 1718, 2*a = -8. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*(sqrt(720)*-4 + sqrt(720)))\/sqrt(12))\/(1*(sqrt(768) - -3*sqrt(768) - sqrt(768))))**2.\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 66449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m. Let c(l) = -404*l + 134 + 120 - 254. What is c(o(v))?\nAnswer: -404*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 10:44 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (1606\/219)\/((-137)\/(-135) - 1) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -84 + 77. Sort 5, -3, r.\nAnswer: r, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*i**2 + 55*i**3 - 11*i**2 + 1420*i**5 - 8*i**2 - 29*i**4 - 1416*i**5 = 0. Calculate i.\nAnswer: 0, 1\/4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-20)\/(-90) + 22\/9. Let y be 10 + -2 - 3 - 1. Factor 0*i**3 + 0 + y*i**2 - f*i - 4\/3*i**4.\nAnswer: -4*i*(i - 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-68)\/26*(-195)\/(-36)*(-654)\/1090\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2000*w**5 + 10*w**3 - 4*w + 134. Let f(z) = 1000*z**5 - 6*z**3 + 2*z - 67. Let d(c) = 10*f(c) + 6*g(c). Find the second derivative of d(m) wrt m.\nAnswer: -40000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -3*y - 6. Let a(h) = -10*h - 17. Let z = -7 - -3. Let s(d) = z*a(d) + 11*o(d). Is s(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446323 (base 8) in base 14?\nAnswer: 3cd11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 1. Let b(i) = i**2 + 18*i + 8. Let a(r) = b(r) - 6*c(r). Let k be a(-18). Solve -2*y = -2, k*y + y - 5 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in 1, -6, 0.8, 2\/5, 4\/1141?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -14\/25  (c) -0.2  (d) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22374 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -14132.8 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -53, -17, 1218, -26 in decreasing order.\nAnswer: 1218, -17, -26, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79743964?\nAnswer: 2, 109, 182899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -3, 3, -76, 0.\nAnswer: -76, -3, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.077 + -0.692. Let f = w + -0.231. What is the closest to -0.2 in f, -1\/8, -5\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = g - 0. Let m be 2 + -3 + (-1 - -1). Let y = -2 + m. Sort g, y, 1 in descending order.\nAnswer: 1, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 0*h + h - 2*h**2 - 2*h - 4*h**2. Determine c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35234 - 117*t + 78*t + 35232.\nAnswer: -39*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 72 = -3*x + x, -4 = -x. Suppose -51*d + v = -47*d. Let q(p) = -d*p - 6*p + 3*p + 6*p. Let m(r) = r**2 - 9. Give q(m(y)).\nAnswer: -y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (148 + 134 + 204)*(0 + h + 0) to the form y + c*h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1871715 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (6*(1 + sqrt(175) + 3))**2 + -1*(sqrt(175) + sqrt(175) + (0 + sqrt(175) + sqrt(175))*1) + -5.\nAnswer: 1420*sqrt(7) + 6874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 408 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 324 and 2628?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5)\/5)\/((-1)\/14). Let t(i) = 5*i**2 - 20*i + 9. Is t(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11952081035268 - 0.5?\nAnswer: -0.38047918964732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 170 + -175. Put 2\/19, -0.1, m, 0.67 in increasing order.\nAnswer: m, -0.1, 2\/19, 0.67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5221 (base 6) to base 11\nAnswer: 96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5*b = 47, k - 79 = -k - 5*b. Let o be (1\/(-2))\/(2\/k). Is o != -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 445*k - 450*k + 50. Find the first derivative of -p**2 - 5*p + p - k*p + 11*p + 73 wrt p.\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 776\/35 + -158\/7. Which is smaller: 97 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s**2 - 6*s - 14. What is the units digit of t(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 531 divided by -1.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 2:59 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-817)\/152*-8 + 4\/(-4) + 1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 129\/19838 and -85\/273?\nAnswer: 59514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2079728415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x = -27*x + 299. Suppose -3*z = -2*l + x, -607 = -4*l - 3*z - 0*z. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 2*l + 12, -121*s - 5*l = -126*s + 40. Factor -16\/3*a + 52\/3*a**3 - 40\/3*a**2 - 14\/3*a**s + 0.\nAnswer: -2*a*(a - 2)**2*(7*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -65.4843, 0.1, 1, -12 in descending order.\nAnswer: 1, 0.1, -12, -65.4843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 16*c**2 + 19*c - 5. Let v be j(15). Suppose q - v = -30. Let t = q + 31. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 10:50 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/15)\/(((-1)\/10)\/((-55)\/(-22))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02 - 0.42. Let s = -3 + 5\/2. Suppose 0 = -0*g - 16*g - 32. Which is the closest to s?  (a) 0.1  (b) g  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 18*g**2 - 12*g - 63. Let y be k(-18). Suppose y*s = 160*s - 77. What is the remainder when 24 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - -1 - -1 - -1. Suppose 0 = -222*q + 190*q + 64. Suppose s*f = -9, -q*b = -3*b - 2*f - 4. Solve j + b = 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 30, 45, 76, 129?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 408935323?\nAnswer: 17, 24055019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 2*d**4 - 6*d**3 + 6*d**2 - 2*d = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 2 = -2*g + 4, -3*g - 15 = 2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2. Let n(x) = -1630 + 1630 - 6*x**2. Let d(c) = -2*c**2 - 5*c**2 + 4*c**2. Let z(q) = 15*d(q) - 6*n(q). Calculate l(z(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 + 0*h**2 - 2*h**2)*(2 - 2*h - 2) + (h + h + 2*h)*(h**2 - 3*h + 3*h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17840 and 10.\nAnswer: 17840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/10 - 4\/(-10). Is (-10 - t)\/((-10)\/190) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = 4*b - 2, 6*b - 8 = 5*b + p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(72\/3)*2*9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 0.7, 0.3, -0.5, 306, -1\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 70 = -0*g. Let k be (-1 + -3)*(2 - 5). Suppose -q = -g - k. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 1 = -5. Let l be (-12)\/(-12) + (-81 - (f - 4)). Let a = 87 + l. What is the remainder when 27 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 387, 364, 341, 318, 295, 272?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9616*n**3 + 9741*n**3 - 37532*n**3 + 9291*n**3 + 9538*n**3.\nAnswer: 654*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 262719168 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 + 1)*(8 - 4*q - 8) - 22 + 143*q + 126*q - 266*q.\nAnswer: 7*q - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*2 - (-1 + -1). Suppose 4*d = -t*d + 272. Suppose 8 = 5*f + 3, 0 = -5*j - 3*f + d. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/277514120 and -75\/28.\nAnswer: 1942598840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1001 is divided by 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*q**2 + 86*q**2 - 19*q**2 + 41*q**2 + 24*q**2 to the form l*q + z + p*q**2 and give p.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3*t - t**4 + t**2 - 4*t + 2*t + 2*t + 4*t**3 to the form r*t**4 + l*t**3 + g + y*t**2 + q*t and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 11*o**3 + 4*o**2 - o - 2. Let d be c(-2). Let j = d - -223. Is j a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of w**7\/84 - w**6\/6 + w**5 - 10*w**4\/3 + 20*w**3\/3 - 8*w**2 + 26*w. Factor h(f).\nAnswer: (f - 2)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = 502 - 1432. Suppose 4*n = 3*u - v, 2*u + n - 33 - 63 = 0. Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i - 5. Let l be p(2). Let r be 2 + 1 + -1 + l. Find w, given that 4*w - r*w - 3*w**2 - 5*w = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 154 + 2*r**3 + r**2 - 152 - 5*r**2 + 9*r**4 to o + l*r**2 + w*r**4 + k*r**3 + a*r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28083*k**2\/2 - 168503*k\/4 + 15\/4.\nAnswer: (k - 3)*(56166*k - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 PM and 3:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -39 + 57. Suppose -f - 9 = 4*c + 3*k, 2*k - 24 = 2*c. Let w be 24\/(-56)*(c - -2). Solve -w*h + 6 = 2*d - d, -h + 3*d = -12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l**4\/3 - 19700*l**3 - 236224*l**2\/3 + 551408*l - 1890688\/3 = 0 for l.\nAnswer: -14771, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s - 1. Suppose 5*b - 4*d = -4 - 2, 0 = -b + 3*d - 10. Let y(i) = -2*i**2 + 2*i. Let l be 10\/(-15)*-9 + -5. Calculate b*o(h) + l*y(h).\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24479765 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 149 - 39641?\nAnswer: -394a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/9, -22, 0.016?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrnrronnrrrrff. Give prob of picking 2 f and 1 o.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-eight fifteenths of a century in months?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-3)*(-2)\/(-4). Let x(g) = -1. Let c(b) = -2*b**2 + 10. Suppose 0 = 4*r - k - 42, 0 = -r - 0*k + 5*k + 20. Calculate r*x(u) + w*c(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - -2) + (0 - ((18 - 11) + -2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13 or -172\/13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 4*v**4 - 920*v**3 - 19616*v**2 - 96000*v = 0.\nAnswer: -12, -8, 0, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 11*z + 5. Let b(x) = -11*x - 4. Let r(p) = -7*p**2 - 92*p - 99. Let m be r(-12). Determine m*v(k) - 4*b(k).\nAnswer: 11*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + 11*x - 5. Calculate k(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2937 is divided by 2933.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 8*a**3 + 17*a**2 - 8*a - 4. What are the prime factors of q(7)?\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 PM and 6:04 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**2 - 3*k - 3. What is the remainder when j(4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.7 - 12.7. Which is the second smallest value?  (a) 0.1  (b) l  (c) 1\/8  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/14250 and 179\/570.\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 757666958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 907 = -931. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/31280 and 77\/40815.\nAnswer: 255338640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + -1.2. Let x = -9.9 + 3.9. Let q = 0.2 + -0.3. Which is the biggest value?  (a) q  (b) x  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 10788634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100 + 2*p**2 - p**2 - 100.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 0 - (-1 - -4 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.5 + 2.3. Let x = -4.8 + y. What is the second biggest value in 0.5, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/8 - 49*k**3\/8 + 102*k**2 - 608*k + 512.\nAnswer: (k - 16)**3*(k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71386, 71524, 71742, 72040?\nAnswer: 72418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15177 = -4*y - n + 6*n, n - 3792 = -y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4541448 + -1101?\nAnswer: 4540347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 13.376191540042+-0.004\nAnswer: 13.372191540042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 522*z**2. Let m(d) = 8*d**2. Determine m(t(w)).\nAnswer: 2179872*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + m**2 + m. Let x be f(0). Suppose x*u + 3*u + 5*z + 8 = 0, 3*u - 5*z + 28 = 0. What is the remainder when 15 is divided by 8 - (2 - u\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 4:06 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*q**2 - 50*q**2 + 21*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18827*a**2 + 75*a - 75*a + 31821*a**2.\nAnswer: 50648*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 22*k + 12. Let h(x) = -46*x - 26. Let v(b) = -6*h(b) - 13*q(b). Let c(j) = -7*j. What is v(c(w))?\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80 + -80.0103. What is x rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 403 and 12188301?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 11*w**2 - 14*w + 9. Let l be a(-12). Is 22 a factor of (-194)\/(-3) - (-44)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 10 = j, 23 = -16*i + 21*i + 4*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111010001010 (base 2) to base 16.\nAnswer: 1e8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 + 36. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*x - 48 = 14*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 - 36 = -10*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9936.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -89*x**3 - 592*x**2 + 4*x + 8. Let a(i) = -i**3 + i**2 + i + 2. Let j(m) = 4*a(m) - f(m). Find the third derivative of j(g) wrt g.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 352220 (base 6) to base 9\nAnswer: 45533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 291*x - 2. Let n(p) = -11*p. Calculate n(d(i)).\nAnswer: -3201*i + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11792 and 1144?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*o - 2019 = 421 - 4 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -89, -82, -63, -26, 35, 126?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 19 = 6*z. Solve -z*y - y = 3*q + 12, -2*q - 3*y - 7 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by 1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 990527 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 0 + 8*u - 4 - 7 + 2. Let c be t(-6). Let j = -33 - c. Solve 0 = 3*o + 2*n + 3*n - j, 2*n = -5*o + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.4  (b) -4  (c) -0.261  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 17 + 3. Solve 0 = 2*k + 2*h - 0*h, -q*k = h + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 23, 48, 75, 104, 135, 168?\n\"Answer: h**2 + 22*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 17)\/(1 + -3). Suppose -c - 4*f + i = 0, c + c - 5 = 5*f. Solve 4 = 2*n + 4*p, -c*n + 5*p - 4 - 1 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 8*s**3 - 4*s**2 - 2*s + 1. Let j be p(-1). Let r(t) = 6*t**2 + 31*t - 17. Let b be r(j). Is b greater than 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 7, i: 2, y: 3}. What is prob of picking 1 i and 2 y?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 7*l + 4. Let i(d) = 15 - 27 - 2*d - d + 11. Let f(h) = -4*h - 1. Let a(p) = 2*f(p) - 3*i(p). Determine a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -5*p - 249 + 16, -4*p + 5*m = 200. Let j be (-2)\/(-9) + (-215)\/p. Suppose -l + u + 28 = -4*u, 4*u = -j*l - 5. Solve 0 - 6 = l*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 28711 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 13*m + 50. What is the remainder when 254 is divided by i(9)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000 - -11011010?\nAnswer: 10110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1484148 is divided by 6902?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) 0  (c) 3  (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11057323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r - q - 22, -r = -4*r + 5*q + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.04 - 4.96. Let g = -54739 + 54738.88. Which is the second biggest value?  (a) -3  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2796, 7738, 15976, 27516, 42364?\nAnswer: 60526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 5, -5, -4, 0, -34 in increasing order.\nAnswer: -34, -8, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 19  (b) -2\/13  (c) -0.03  (d) -2  (e) 24  (f) -6.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -34*t - 150. Let f = 212 - 222. Calculate the smallest common multiple of 18 and y(f).\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.08 - 0.52. Let x = p + 0.7. Which is the biggest value?  (a) 2\/3  (b) x  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 - -191. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = a - 23, a + a - 36 = -3*s. Suppose 38 = 3*t - 49. What is the remainder when t is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of -z**4\/2 - 28*z. Let d(o) = 2*o. Determine g(d(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.12 - -5.12. Let r = -138 + 59. Let v = 78.5 + r. Sort y, v, 0 in ascending order.\nAnswer: v, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 0 - 3, 0 = -h + 5*u - 161. Find the common denominator of (1 - 2) + h\/(-8) and (-3)\/(-1)*12\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25 + 53\/2. Suppose 0 = 92*w - 96 - 88. What is the nearest to b in 0.1, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**2 - n**2 - 3*n**2 + (-3*n - 4 + 4)*(-3*n + 1 - 1) + 7*n**2 - 6*n + 6*n - n**2 - 4*n**2 + 2*n**2 to the form v*n**2 + h*n + d and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 20.56, -10\/7, 1, 0.04, -2\/7, 0.5, 2\/9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*u - 177*u + 7 = 5*x, 2 = -2*u + 4*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 t when four letters picked without replacement from ttmtmtmttt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - d = -17, 0 = -0*d - d + 2. Suppose 2*a + n*g = 6438, 5 + 5 = 5*g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12550?  (a) -0.252  (b) -3  (c) 0.04  (d) 0.3  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -16, -70, -158, -280?\n\"Answer: -17*r**2 - 3*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41297017.\nAnswer: 53, 779189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -136474, -136497, -136534, -136585?\nAnswer: -136650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-6)*(-4086)\/(-12). Which is greater: t or -450?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**2 + 2119168*c + 561359126528 = 0 for c.\nAnswer: -529792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3*n - 1)*(-5*n**2 + 3*n**2 + n**2 + (-6*n + n + 3*n)*(-2*n + n - n) - n**2 + 3*n**2 + 0*n**2) in the form k*n + s + b*n**2 + y*n**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*c + 91*c = -5*q + 117917, -70774 = -3*q + c. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8918593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 5*c - 36, 3*t + c - 27 = 1. Suppose -t = r - 2*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -26\/2017 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2. Let f(w) = 6462*w**2. Calculate r(f(t)).\nAnswer: -41757444*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -817, -814, -811, -808?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-160)\/(-64)*4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.9 - -1.5. What is the second biggest value in 4, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w**(-15)*w*w)\/w*w)\/w*(w**(1\/8)\/w)\/w)**(4\/29)\/((w*w*w\/(w*w**7*w)*w*w)\/(w**(-6)*w))**31 assuming w is positive.\nAnswer: w**(-1917\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -18*f + 238. Let a be p(8). Suppose -a*r - 578 = -111*r. Calculate the remainder when r is divided by 1 + -2*9\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 406309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2033195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 501 - 33633?\nAnswer: -33132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12768938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mlmmmmmmml. Give prob of sequence mmm.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*l + 26. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 0*d**3 + 11 - 62\/3*d**4 + 0*d**2 - d. Let z(v) = -v**2. Give z(y(s)).\nAnswer: -61504*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(1700) + 3 - (sqrt(1700) - (-4 + sqrt(1700)*3 + sqrt(1700)))) + 4 + -2)*-1)**2.\nAnswer: 120*sqrt(17) + 61201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 17*z**2 + 21*z + 20. Let p(s) = 20*s**2 + 22*s + 20. Let g(d) = 7*f(d) - 6*p(d). Let q be g(0). Is 2 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4)\/8 - (-123)\/10 and 97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, u: 3, e: 2, t: 3}. Give prob of picking 1 u and 2 t.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -514311, -520484, -530765, -545148, -563627, -586196?\n\"Answer: p**3 - 2060*p**2 - 512252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 3*f + f)*(-6*f - 24 + 24) - 241*f**2 - 22*f**2 - 27*f**2 - 71*f**2.\nAnswer: -373*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -3. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 392840 and 1908080.\nAnswer: 13356560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, c: 5, t: 1, d: 1, q: 3, b: 1}. Give prob of picking 3 j and 1 d.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3\/7  (b) -1  (c) 1\/4  (d) 5\/3  (e) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 247*g + 2 - 493*g - 1200*g.\nAnswer: -1940*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47495 is divided by 819.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/41)*k**(-24)\/k*k)\/(k\/(k**(-35)\/k)*k**(-3\/10)\/k) assuming k is positive.\nAnswer: k**(-24487\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 155\/84 and 13\/8288?\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -2\/9, 3, 0.14, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(18\/(-10))*3. Suppose -q + 0*q + 15 = -h*w, -3*q + 23 = -4*w. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/16 and 41\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -47.\nAnswer: -11\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 3.1. Let y be 6\/(-10)*15\/12. Which is the third smallest value?  (a) h  (b) y  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + 34555244?\nAnswer: 34555254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 6, n: 5, d: 2, v: 3, s: 1, z: 2}. What is prob of sequence nzg?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2191 plus 0.031?\nAnswer: -2190.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 - 26.1. What is the second smallest value in -23, 7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0517*-0.03.\nAnswer: -0.001551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 71807 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-2) - (-11)\/1. Let k be 0 + (-3 - -3 - q). Let v be k\/45 - (-22)\/55. Which is the smallest value?  (a) v  (b) -0.04  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155*h - 151*h - 60 - 120 = 0. What is b in 27\/2 + 3\/2*b**5 + 99\/2*b + 27\/2*b**4 + h*b**3 + 69*b**2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 29*o**3 - 10*o**2 + 419. Let x(q) = -30*q**3 + 8*q**2 + q - 419. Let w(c) = 4*g(c) + 5*x(c). Differentiate w(r) wrt r.\nAnswer: -102*r**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 411 or 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 6*f**2 - 4*f**2 - 3*f**2. Let p(w) = w - 1. Let i(z) = -2*z + 3. Let l be ((-1)\/(-1))\/(3\/9). Let d(a) = l*p(a) + i(a). Calculate d(c(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**4 + 170*w**3 + 1982*w**2 + 8474*w + 6653. Let j(u) = -2*u**4 - 680*u**3 - 7929*u**2 - 33898*u - 26611. Let c(h) = -2*j(h) - 9*n(h). Factor c(v).\nAnswer: -5*(v + 1)*(v + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m**3 - m**3 - m**4 - 5*m**4 - m**4 + 3*m**4 + (14*m**2 - 17 + 17)*(0 - 3*m**2 + 2 - 3) to v*m + k*m**2 + r*m**3 + u*m**4 + n and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**0\/(z*z*z**(-14)))**(-37)*z**(-7)\/z*z\/z**(-5\/6)*z**(-5)*z\/(z*z**(-9))*z assuming z is positive.\nAnswer: z**(-2671\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -67ec4 (base 16) to base 10\nAnswer: -425668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.8  (b) 49  (c) 1\/2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2 + 2. Let z = -0.02 + 0.22. Let p = z + -1.2. What is the second biggest value in 0.5, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 42 - 247 = -g, g - 293 = 3*d. Suppose 4*p + 71 = 2*s - g, 0 = -s + 5*p + 176. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 f when three letters picked without replacement from {h: 3, f: 4, y: 1, n: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3948 by -12.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1359 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70 + 4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 860*d - 2309 = 941*d + 1012 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f + 40. Let z be w(-20). Suppose z = -2*s - 8, -4*l - 8*s + 10*s + 8 = 0. Solve -2*j - 4 = -3*u, -u + 6*u - 2*j = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 12 = -3*k. Let y(x) = -x + 4. What is y(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-38)*4727158\/(-45128) + 1*23\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 26*d - 65. Let k(v) = -17*v + 43. Let a(z) = 7*k(z) + 5*m(z). What are the prime factors of a(10)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 52*m - 1259. Calculate g(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6371338, 4, 3, 2 in ascending order.\nAnswer: 2, 3, 4, 6371338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-27)*q**(6\/17) assuming q is positive.\nAnswer: q**(-453\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25.04 - 25. Let q = n + -0.38. Let d = -0.3393 - q. What is d rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**2 - 79 + 40 + 39. Let m(k) = -226*k**2. Give a(m(v)).\nAnswer: 102152*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 870157249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150\/125*(-30)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l. Let d(z) be the first derivative of 91*z**5\/60 - 4*z**2 - 2*z - 43. Let k(y) be the second derivative of d(y). What is u(k(o))?\nAnswer: -91*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000450437 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -395, -355, -333, -335, -367?\n\"Answer: -y**3 - 3*y**2 + 56*y - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 92 - 88. Let j be 26 - (28\/u - 4). Let c = 28 - j. Solve -8 = -c*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5 + (-65)\/15 - (-56)\/(-66). What is the closest to -0.1 in y, 4, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 8*f**2 - 2*f - 8. Let p be w(-8). Suppose -p*q = -4*q - 12. Factor i**2 + q*i**3 + 3*i + i**2 + 4*i**2 + 0*i.\nAnswer: 3*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 4) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8 + 2 + 8 + -4. Suppose g - 20 = -3*g, -3*k + 4*g - y = 0. Let s be -2 - k - -3 - (-27 - 1). Calculate the highest common factor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5785 and 3354?\nAnswer: 1492530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16240*i**5 - 442*i - 14?\nAnswer: 324800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 2195 = -1283. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*v + v = 5, 0 = 4*v + 4. Suppose 4*s - f = 103, 79 + 8 = r*s - 4*f. Suppose 3*i + p = -i + 101, 2 = 2*p. Is s greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0447519 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-5)*15\/(-1). Let c = j + -8. Sort -4, c, 2 in descending order.\nAnswer: 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 5*p - 18, -2*p - 22 = -5*p - 4*h. Let u be (-2 - -1)*p - 1. What is the tens digit of 1*(u - -2)*-73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/71 in -1.2, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/36)\/((-6)\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 588689 or 588687?\nAnswer: 588689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1985.7 and 21.63?\nAnswer: 42950.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 8*t. Let u(w) = w**3 - 4*w**2 + w + 3. Let y be u(3). Let m(c) = c**2 + 4*c. Let d(f) = y*o(f) + 5*m(f). Is d(3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.16?  (a) 1\/4  (b) 3.5  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 + -24. Which is the closest to g?  (a) -1\/4  (b) -0.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 36*l. Let v(d) = 21443*d - 9. Give v(p(f)).\nAnswer: 771948*f - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xf when two letters picked without replacement from eeexexefx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*p, 3*w - 2*p = 5*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3588.46 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 93 - 65 - (2 - 37 - -16)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 253410789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-6)*-1)\/((-8)\/(-12)). Let t(m) = -m**3 - 2*m - 2. Determine t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 12:18 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 20 = -8*m. Suppose 4*g + 3*z = 26, -7*g + 22 = -3*g + m*z. Let v(a) = -a**3 + 7*a**2 + 12*a - 8. Let y be v(g). Solve 3*c - y = -9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 3 n when four letters picked without replacement from nnnnnnvsn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 226783 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-6)*(-69 - (-10593)\/214).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -643*x**5 - 18*x**4 + 298*x**3 - 12016143*x**2 - 12 wrt x.\nAnswer: -38580*x**2 - 432*x + 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 3178968*o**2 + 3 + 3178952*o**2.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 AM and 5:52 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-98)\/((-16)\/(-8) + -3). Is t <= 496\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 a factor of 887717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of 4*o**3\/3 - 3*o. Let i be -2*(27\/(-6) - -3). Let u(m) = -3 - 5*m + 6*m + i. Calculate u(q(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8893723253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2684 and 2023492?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -35543 (base 6) to base 15\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*-30918.\nAnswer: 525606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1773088 to the power of 1\/2, to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -275  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (54048\/32)\/(6\/(-8)*8\/(-20)).\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 2*c - 39, -938*c + 3*q + 23 = -937*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (86\/5 - 2) + 2536\/8 + -334?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1003, -7361, -24585, -58099, -113327, -195693, -310621, -463535?\nAnswer: -659859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 5*f + 45, -2*s + 60 = 327*f - 332*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 320 - 958\/3. What is the closest to w in -4, -0.3, -0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 402240 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 747 - 598 = -32*c + 1429 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minus -30.665?\nAnswer: 153.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + -218?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*m**2 + 3 - 3)*(-2*m**2 + 0*m**2 + m**2) + (-m**2 + 2 - 2)*(-3 - 2*m**2 + 3).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*r**3 - 8*r**3 + 8*r**3 + (-2*r**3 - 3*r**3 + 4*r**3)*(1 - 1 + 1))*(2 - 3 + 4).\nAnswer: 75*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**2\/2 + 7*s\/2 = 0 for s.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**2 + 1 + 5*p**2 + 2*p**2)*(2 - 1 - 2)*(-3 + 0 + 1).\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -3) + (2 - -1) + -7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 412, 902, 1410, 1942, 2504, 3102?\n\"Answer: z**3 + 3*z**2 + 474*z - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v - 168. Let f(x) = x. Calculate f(g(n)).\nAnswer: -n - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17745 and 24.69.\nAnswer: -438124.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1712, 5, 24 in ascending order.\nAnswer: -1712, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -2, -9, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 946 + 0?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7014963*w - 871302*w + 385809*w.\nAnswer: 6529470*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3130050.\nAnswer: 2, 3, 5, 7, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 + 0 + -3)\/((-1)\/(-7)). Let f be q*(-8)\/28 - -26. Let k be 2*(6\/(-4))\/(-1). Solve 6*l + 17 = 2*l - y, -k*y = 3*l + f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 343 is divided by 143?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 - 3*r - 5. Let w be u(5). Let h = w + 0. Let c = 11 + -15. Sort h, c, 2 in decreasing order.\nAnswer: h, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(4 - 8)*-1. What is the tens digit of (-7 - -6)\/(u\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s - 10*s + 28*s + 14*s to w*s + i and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**4 + 7158*j**3 - 216194*j**2 + 1248162*j - 1992168 = 0. Calculate j.\nAnswer: -3609, 3, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97.207 + -0.207. Let o = -178 + m. Let u = o + 80.999923. Round u to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21\/25777 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 216748733, 216748738, 216748755, 216748790, 216748849?\n\"Answer: g**3 - 2*g + 216748734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 22878, -16 in decreasing order.\nAnswer: 22878, 5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 76542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.22+4317.33\nAnswer: 4317.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 5*u - 43. What is j(-6)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 4*m**2 - 6580364*m = 0.\nAnswer: 0, 1645091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 405*q**2 + 380*q**2 - 2*q + q - 128*q**2 + 809*q**2 to the form g*q**2 + h + p*q and give g.\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*t**2 + 18*t - 12*t - 14 - 20.\nAnswer: -54*t**2 + 6*t - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*p**3 + 16*p**2 + 67*p + 42335 wrt p?\nAnswer: -9*p**2 + 32*p + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 241*-40058.\nAnswer: -9653978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.243 - -0.043. Let w = -0.2 + 5.2. Which is the second biggest value?  (a) w  (b) 9  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p + 7*p + 14*p)*(3 - 3 - p)*(-2*p - 2 + 2) to a*p + l*p**2 + w*p**3 + y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**3 + 11*r**2 - 13*r + 23. Calculate l(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 302 = 3*u + v, 7 - 103 = -u + 2*v. Suppose u = -h + 3*h. Suppose -5*f + h = 5*c, -5*f - 16 - 15 = -4*c. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2*z = -z - 1015, -4*b - 4*z = -1356. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 3*q + 11087 - 57962, -2*z - 62510 = -4*q. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + -4 + 11 + 0. Let i be -9*(4 + (-64)\/b). Is 3 a factor of ((-96)\/20)\/(((-63)\/i)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of x**3\/3 + 2*x**2 - 3*x - 2. Let q be -18 - -6*3\/6. Let i = q + 11. Determine u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*s = 2109 - 2196. Let t(i) be the second derivative of 8*i**2 - 1\/10*i**5 - 26*i + 4\/3*i**s + 0 - 1\/3*i**4. Factor t(w).\nAnswer: -2*(w - 2)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.11 + -0.79. Let y = 3.9 + p. Let b = 1.87 + -1.77. What is the closest to 0 in 0.4, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-60)\/(-135) - (-5)\/9)*-5 - -7. Let o = 14 + -12. Solve o = 3*w - i*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 60 + 69 - 16 - 49 + 2923*q + 80. Is r(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -10*(0\/(-3) - 2). Let x(p) = -15*p + 8 + 4*p**2 + 8 - 14 + 3. Let w be x(-5). What is the greatest common factor of g and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 10:28 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1357867148.\nAnswer: 2, 11, 19, 233, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -8.6, 1, 2\/9, -76, -6\/11, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -259 - -512. Suppose 4*f + 7*f = a. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4231\/5 - 846. Suppose 5*g - 20 - 5 = 0. Which is the third biggest value?  (a) z  (b) g  (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of n**6\/30 + n**4\/24 - n**2\/2 - 5*n. Let p(x) be the first derivative of j(x). Find the second derivative of p(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of -2 + 0*h**4 + 0*h - 1\/120*h**5 + 0*h**2 - h**3. Let n(l) be the third derivative of q(l). Let p(i) = i**2. Give n(p(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 280 - f - 42 + 13 as w*f + a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 12 + 13 - 33 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100 + 111?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 4*l + 120 = 0. Let h = 150 + -178. Let f = h - l. Solve -2*u - 4 = f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2216*y - 97840. Give m(45).\nAnswer: 1880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*i - 104*i + 71*i)*((3*i + 0*i - i)*((2 - 2 + 3)*(4 + 0 - 1) - 5 + 2 + 2) - i - 2 + 2).\nAnswer: -1125*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -160535.78441 + 160535. Round z to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -317 (base 13) to base 3\nAnswer: -201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v + 2*v - v**3 + (0*v**2 - v**2 + 2*v**2)*(v + 2*v - 5*v) - 18*v**3 - 140 + 140.\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 2*i = -121, -9*h - i - 89 = -13*h. Let v be 4\/(-14) + (-748)\/28. Let o = h + v. Which is the second biggest value?  (a) -2  (b) o  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2. Let h(g) = 2*g - 6. Let k be h(4). Let j(y) = 0*y**k - 3*y**2 + 0*y + 0*y. What is j(u(x))?\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j**3 - 2*j + 5*j**3 + 0*j**3 - 4*j**3.\nAnswer: 5*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 5:50 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -92259\/130 or -710?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 5\/198671956 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x - 4. Let q be p(0). Is 10 a factor of (-165)\/(-9) - q\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90355 and 1445?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 6*x - 2*x + 0 - 1. Let r be 3*3*(-1)\/(-9). Suppose -d + r + 5 = 0. Let t(n) = -3*n + 1. Give d*t(l) + 5*q(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-7\/2)*y)**39 assuming y is positive.\nAnswer: y**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19365756 to the nearest integer?\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110)\/sqrt(5)*5)\/(1*1*sqrt(2)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -4. Let f(h) = -h + h**v + 0*h**2 + 2*h + 4*h**2. Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-12)*36\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1630 (base 11) in base 9?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 642962534 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**2 - 3246 - k**2 - 3276 + 3*k + k**2 - 3*k + (-3*k - 2*k + 3*k)*(5*k - 4*k + k) + k**2 + 0*k**2 - 2*k**2.\nAnswer: -3*k**2 - 6522","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1434257, 2868586, 4302915, 5737244, 7171573?\nAnswer: 8605902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -12. Suppose -u*o + 16 = -84. What is the lowest common multiple of o and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*l + 3*h + 9, 0*h = -2*l + 3*h + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 515 - 10?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28329036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g - 6. Let w be r(6). Let i be ((-9)\/3 + w)*-2. Let s(t) = 5 + 3*t**2 + 0 - 2*t**2 - i*t. What is s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14095328\/81 or -174016?\nAnswer: -14095328\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -7  (b) -0.14  (c) -6  (d) -1.308  (e) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 11 + 2 = 0. Let q be (-53)\/3 - k\/39. What is the common denominator of (-91)\/q - 4\/18 and 2\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 212471 and 478.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -3, -20 in increasing order.\nAnswer: -20, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5*v = 8, -19*i + 5*v = -17*i - 3. What is the units digit of (-15568)\/(-16)*(2 + i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 419 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -1298\nAnswer: 1\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -988*x - 71552 = -1020*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 4. Let d(b) = -b**3 - 18*b**2 - 90*b + 25. Let i be d(-13). Suppose 2*a = -m*a + i. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u + u**3 - 3*u)*(-3*u + 15*u + 7*u).\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 816 and 6864.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 AM and 8:37 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-880)\/(-120) + -1*8)\/(4\/54)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of y**2\/2 + 18*y + 16. Let u(b) = -5*b**2 + 21*b + 6. Let l be u(5). Calculate a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 9.77 and 54?\nAnswer: 44.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 425 a factor of 41101860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 19732.9 bigger than -0.128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -746  (c) -1347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102 - 59 = 24*m + 439 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*z - z**4 - 5*z**2 + 9*z - 2 - z**4 in the form c*z**2 + y*z**4 + p + q*z + n*z**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65509.\nAnswer: 109, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*4*(5 + -3*(sqrt(832) + (sqrt(832) - (sqrt(832) + (sqrt(832) - (sqrt(832) + sqrt(832)*2)))**2))*6).\nAnswer: -179772 + 3456*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175463 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4156 is divided by 1364.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42 - -40.1. Let m = 26.1 + d. What is m rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3 - 3*c**2 - 5 + 4*c**3 - 3*c**3. Let y(k) = k**3 + 16*k**2 + 16*k + 19. Let q be y(-15). Calculate the remainder when 25 is divided by v(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 261699427 to the nearest one hundred thousand.\nAnswer: 261700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -30*k - 418. Let y be j(-14). Find p such that 3*p + 0 + 9\/2*p**y + 3\/2*p**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 108 = -n, 8*a - 32341*n - 870 = -32343*n for a.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -134787\/40166 + -4\/2869. What is the common denominator of 99\/(-10) - (-6 - -3) and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 10:15 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*w - 9363 + 2983 = -256*w + 14599 for w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 180840*i - 2725258800.\nAnswer: -3*(i - 30140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - 4.3. Suppose -o - 3*z = 2, -5*z = -2*o - 0*o + 18. Suppose 0 = o*a - 0*a - 12. Sort a, p, -5.\nAnswer: -5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 + 24.8. Let k = -7.79 + 7.77. What is the nearest to k in c, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -185604 + 1299227\/7. Let v = -29\/12 + -1\/12. Which is the fourth smallest value?  (a) -4\/3  (b) -2  (c) u  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 107358910 divided by 10735891\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 - -0.3. Let o = g - -1. Let n = -2 + o. Which is the biggest value?  (a) 3  (b) -2\/17  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8074 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 280106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 32*a**2 + 2*a - 2. What are the prime factors of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-3)\/5)\/(81\/405)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*a - 9 - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**3 - 16527*w**2 + 33075*w + 49599.\nAnswer: -3*(w - 3)*(w + 1)*(w + 5511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - r = 23, -5*x - 8*r + 3*r = -35. Solve -d + x*d = 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -24*l**3 + 1068*l - 305*l + 29*l**3 + 641*l**2 + 127 = 0.\nAnswer: -127, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -a**5\/20 - a**4\/8 + 3*a**3 + 19*a**2. Let n(k) be the first derivative of c(k). Calculate n(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51061 is divided by 4254?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l\/(l*l**(-1\/5)*l))\/l))\/l**(-2\/15))\/(l**(3\/7)*l\/l**2) assuming l is positive.\nAnswer: l**(368\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f**3 + 41*f**3 - 2*f**3.\nAnswer: 35*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.62 in 14, -0.1, 0.19, -1\/8?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -62 * 1397.775.\nAnswer: -86662.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 91*r + 11. Let c(u) = -186*u - 20. Calculate 4*c(h) + 7*g(h).\nAnswer: -107*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 1735990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - g + 11 = 0, -3*h + 4*h - 3 = 2*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = x - 43 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u**2 - 17005*u\/3 + 1890 = 0. Calculate u.\nAnswer: -1134, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.13748293 - -0.1375. What is g rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 306 = -z. Let b = z + -47. Solve 3*u - 3 = 2*g - 9, -u + 12 = b*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -228 + 234. Let t(a) be the third derivative of -1\/36*a**4 - 2\/9*a**3 + 0 + 0*a + 1\/180*a**h - 2*a**2 + 1\/45*a**5. Factor t(y).\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6\/13 - -81\/91. Let z = -96 + 96. Which is bigger: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 12199*m + 231674. Calculate h(-19).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 25, -z - 2 + 9 = s. Let q be 984\/88 - s\/11. Calculate the highest common factor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 245032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 2\/17, 2\/95, 0, -1, 2 in descending order.\nAnswer: 2, 0.3, 2\/17, 2\/95, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1263514619 to the power of 1\/2, to the nearest integer?\nAnswer: 35546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 12:28 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-2) - 21\/14. Suppose q = x - 54 - 6. Factor -5*k + 12*k**2 - x*k**3 - 2*k**2 + 55*k**3.\nAnswer: -5*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iigriieir. Give prob of sequence irre.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -26. Suppose m + y = 0, 3*c + 6 = 8*c - 4*m. What is the tens digit of 4\/c - (-2 + 3) - -56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b + 13. Let s be q(-4). Suppose -9*j + 476 + 136 = 0. Let l = j + -71. Sort s, l, 4.\nAnswer: l, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -17*c + 7. Let q(k) = 87*k - 36. Give -21*h(a) - 4*q(a).\nAnswer: 9*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 846380 and 1254905?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 572 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020000 - -21222011?\nAnswer: 20202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, h: 1, n: 9}. What is prob of sequence hpn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 976.090323388+58\nAnswer: 1034.090323388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 201\/26 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 349855 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**3 - 9*t**2 + 10*t**2 + 4757*t - 3772*t to l*t + v*t**3 + o + g*t**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 651945 is divided by 217239.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 753 and 12.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-18))\/((-32)\/(-408))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*a + 44*a + 1458 = 0. Calculate the remainder when a is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1 + 1525023*c**2 - 1525024*c**2 + 3 - 2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - 4*x - 5. Let z = 10 + -6. What is f(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 3928.7.\nAnswer: 1178.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j - 1. Let r be p(6). Solve 0 = -2*b + 3 - r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -3, 264, -1 in increasing order.\nAnswer: -3, -1, 2\/5, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + x + 2*x**2 + 10*x**2 - 2*x**2. Let d be s(1). What is the first derivative of -d*g + 2 + 12*g + g**3 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22002000022 - -100002?\nAnswer: -22001200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 87 - 85. Suppose 4*v + h + 25 = 8*v, s*v - 15 = h. Solve 0 = -v*b - 3*z - 7, -2*b + 3*z = -0*b - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 405 or -12\/1265?\nAnswer: -12\/1265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84300 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**5\/6 - 3743*d**4 - 928684*d**3\/3 - 2718683*d**2\/3 - 1797485*d\/2 - 895000\/3 = 0.\nAnswer: -22375, -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-3*(sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2))))**2 - sqrt(162)*-1).\nAnswer: 9*sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6165.823 kilograms to tonnes.\nAnswer: 6.165823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, -7, -18, -29, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 5*m + x, 0 = 4*m - 5*x + 3*x + 8. List the prime factors of (-61)\/(-2) + 2\/m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.9 - -5.2. What is the fourth biggest value in -0.07, 0.1, 3, t?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 615807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 8 = f + 3*l, -4*f + 7 = -l. Let w be f\/(2*(-2)\/(-28)). Suppose 3761 + 4009 = -w*c. Round c to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 3*a + 16, -3*v - 2*a = 2*v - 31. Suppose -19*u = -18*u - v. Factor 4*j**5 + 5 + 5*j**4 - u*j**5 + 10*j**2 - 4 - 10*j**3 - 5*j.\nAnswer: -(j - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -y**4\/126 + 16*y**3\/63 - 13*y**2\/7 - 1476*y. Factor o(s).\nAnswer: -2*(s - 13)*(s - 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 AM and 1:58 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -78*p - 1482. Let x be g(-19). Solve -101*s + 74*s - 81 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -10*(12 + 759\/(-55)). Let g = -15 - 4. Let s = y + g. Is s greater than or equal to -12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -44 + 48. Suppose -3*z + 2*a = -0*z + 6, 10 = -5*z - 3*a. What is the third smallest value in f, z, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*g - 551*g - 447114 = 4523*g for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5995*l - 5996*l - 16 = -n, 0 = 5*l - 4*n + 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 38\/4*66\/(-231)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (102\/476)\/(2\/4)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kmkd when four letters picked without replacement from {d: 3, k: 5, m: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23211 - 10100?\nAnswer: 13111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*a = 0, -2*c = c + 3*a. Suppose -3*h + 0*h + 6 = c. Suppose h*d = -0*d + 22. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41 + 38 + 37)*(-4 + 3 + 3)*(s**4 + s**3 - s**3).\nAnswer: 68*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 50326061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*j - 3*i + 12, 2*i = j + 10. Suppose -20 = -3*h + d + 3*d, 5*d + 30 = 5*h. Suppose -10 = 2*z, -3*m + 2 - 20 = 3*z. Sort j, h, m.\nAnswer: m, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38500 and 110180.\nAnswer: 30299500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18.041 - -10.041. Let y be -1 - (-2 - 5\/(-3)). Sort i, y, -4 in descending order.\nAnswer: y, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*l**4 - 512*l + 250*l + 251*l + 21*l**4 wrt l?\nAnswer: 324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b - 1. Let m(u) = 3*u - 5. Give -3*m(q) - 6*x(q).\nAnswer: -3*q + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 18552348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/2752 and -29\/124?\nAnswer: 85312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12\/13 - -8\/65. Let t = -35.17 - -1.67. Let x = 34 + t. Which is the biggest value?  (a) x  (b) q  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(128) - (sqrt(2048) + 0 + sqrt(2048))**2) + -3.\nAnswer: -8195 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -2  (b) 0.3  (c) -24  (d) 183  (e) -0.543\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(192)*2 - -6*(sqrt(192) + -1) - (6*sqrt(3)*-2 + sqrt(54)\/sqrt(2))**2.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*r - 720 = 22*r + 16*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.6  (b) 7  (c) -2\/13  (d) -2.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + -1 + sqrt(99) + -5 + 4*sqrt(99)*1)*3 - (-1 + 3*sqrt(99) + -1)*4)**2.\nAnswer: -360*sqrt(11) + 3664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 11:53 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 10) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 247 = -4*n, -2*n + t + 111 = -0*t. Suppose -n + 56 = -a. Suppose a*c - 48 = 50. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**4 - 1804*t**3\/5 + 218*t**2 + 724*t\/5 = 0.\nAnswer: -181, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 17*b - 23. Let s = 33 + -15. Let j be t(s). Put j, -2, 1, -1 in descending order.\nAnswer: 1, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 0. Let j = 21 + -23. What is the units digit of (j\/(-5))\/(w\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 80531955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -86, -4, -20 in descending order.\nAnswer: 1, -2, -4, -20, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -5*q - 16, -4*i = -2*q + 11 - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 + 2291\/(-87))*6*17\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -6 and -16437\/2267 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -420*a**3 + 176 wrt a.\nAnswer: -1260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 36 = -4*k, y + 3*y - 3*k - 40 = 0. Suppose 0 = -2*d - y + 1. What is the tens digit of (4\/d)\/((-2)\/39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1168*-0.007.\nAnswer: -8.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5219760669 to the power of 1\/3, to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - -218?\nAnswer: 217.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -719771 divided by -5.\nAnswer: 719771\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzoodwwowoowwozooo. What is prob of picking 1 d and 3 z?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -636*s**4 + 2*s**3 - s**3 + 690*s**4 + (-s**4 + 0*s**3 + 0*s**3)*(2 + 0 - 5) + 0*s**4 + 2*s**4 - 3*s**4 + 7*s + 5*s**4 - 7*s.\nAnswer: 61*s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11819?\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 5*((sqrt(24)*2)\/sqrt(12) + 2*sqrt(2)*-5).\nAnswer: -40*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/13 - 38822*w\/13 - 116484\/13.\nAnswer: 2*(w - 19414)*(w + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, 2, 6 in increasing order.\nAnswer: -5, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 11558 and 11703 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l - 22 = -2*i, 0 = -i - 4*l + 11. Let x = 13 - 19. What is the remainder when 91\/3 + 2\/x is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -193.9 - -202. What is g rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3489604 = 3489625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*f - 41*f = 23*f - 433550. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33690 is divided by 15916.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 28 = -4*q, -41*q + 11*q - 4*i = 51*q - 336 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9468374657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1705 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30992 and 6032.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19860 divided by -2.\nAnswer: 9930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -4*s**3 + 108*s**2 - 210*s + 229. What is b(25)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 87482 greater than 87423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42, 82, 122, 162, 202, 242?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 11, -1\/2, 1\/22, 4, 18, -22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2056 + 17223320.\nAnswer: 17225376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1037566.902 rounded to the nearest one hundred?\nAnswer: -1037600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161 - 241 = -94*v + 27*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 705\/1514?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(20)\/(sqrt(4) + sqrt(4) + -4*sqrt(4) + sqrt(4)).\nAnswer: -sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 49509 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 - -56. Suppose -b*h = -12*h - 230. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 1. Suppose k = -5*m - 2*w + 50, 2*w + 30 = -0*m + 5*m. Calculate the remainder when ((-11)\/(-3))\/(8\/48) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*2\/(-9))\/(228\/513)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -517*n - 5656 = -4105 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(28\/(-18)) - 1. Suppose 3*p - 4 = n, 3*p + 1 = -p - 5*n. Do p and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 25 = -3*q, 0 = 5*q - q + g + 5. Let a = 0 + q. Suppose n + a*n = 3. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 3*x - 31. Let l be c(3). Let p(q) be the third derivative of -q**6\/120 - 7*q**5\/30 - 13*q**4\/24 + 2*q**3\/3 - 5*q**2. What is p(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of t**4\/8 - t**3\/6 - 5*t**2. Let u(v) = -7*v + 2. Give 4*u(a) + 10*w(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 39*p**5\/20 + 128*p**2 + 3*p. Let a(c) = 39*c**2. What is -8*a(i) + 3*j(i)?\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-5)*(-225)\/(-18). Calculate the highest common factor of f and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 684*g**2 + 13*g - 51. List the prime factors of i(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of a**4\/6 + 3*a**3\/2 + 3*a**2\/2 + a. Is h(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**4\/7 + 180*t**3\/7 + 2662*t**2\/7 - 1380*t = 0?\nAnswer: -70, -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence baac when four letters picked without replacement from {a: 2, c: 9, o: 4, b: 3}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = -2*i + 122. Solve i*w = 6*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = 144*r - 153*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-2) + (-8)\/(-16). Suppose -2 = -i + v. Let u(b) = b**3 + 2*b**2 - 8*b + 5. What is the tens digit of u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/2552619?\nAnswer: -2\/2552619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, s: 2, u: 3, b: 1}. What is prob of sequence susb?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133118 is divided by 133101.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -4*g - 1. Calculate v(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4475275 - -1?\nAnswer: 4475276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from blbztztzl. What is prob of sequence llz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2\/3 + 56*l\/3 - 60.\nAnswer: -4*(l - 9)*(l - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6558904 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 19068\/20 + (-5 - 115\/(-25)). Let d = -518 + s. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + o**2 + (-135*o - 5*o**2 + 135*o)*(-3 + 1 + 1) + (-2*o - 3*o + 3*o)*(-o - 4*o + 2*o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42\/28*184\/(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112101202 (base 3) in base 10?\nAnswer: 10496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 57\/2 of a week?\nAnswer: 4788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.4, 758, 3, -0.2, -0.1?\nAnswer: 758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3318 - 3315. Sort -1, i, 2.1, -2\/11.\nAnswer: -1, -2\/11, 2.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111111101101 (base 2) to base 12\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2456.738 milligrams in micrograms?\nAnswer: 2456738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/2))**(-2)*((((x\/(x\/x**2)*x)\/x)\/x)\/x)**(3\/52) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -157?\nAnswer: -4\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ididrdsdy. What is prob of picking 1 r and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - r**2 + 2*r + 1. Let l(w) = 3*w**3 - 5*w**2 - 10*w + 4. Give 5*j(a) - l(a).\nAnswer: 2*a**3 + 20*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12*4\/6*-1. Let d be (-4)\/o + (-34)\/(-4). Let a be 750\/9*d*-104. Round a to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.86 + -3. Let h = v - 1.86. Sort h, 2\/19, 2\/13 in ascending order.\nAnswer: h, 2\/19, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -8*i + 82. Give f(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -72 - -122. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-76)\/(-20) - 4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*l + 29232 = -1525*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1049 and -26?\nAnswer: 27274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 355149827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (-5 - -6) + (2 - -24). Suppose 3*v = -z + 249, -109 + x = -v + z. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1644*q = -4*u - 1640*q + 4, -2*u + 73*q = -215 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 + 3032145*y**2 - 21225350*y - 54579240.\nAnswer: 5*(y - 9)*(y + 2)*(y + 606436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123 - 11246416*z + 145 + 11246418*z.\nAnswer: 2*z + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.0578, 0.4, -4, -2.9?\nAnswer: -0.0578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 12207524 divided by -1\nAnswer: -12207524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*6*-2*((2*sqrt(1100) - sqrt(1100))*-5 - (2*sqrt(1100) + 0))**2.\nAnswer: 1293600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4057)\/(-12) - (-265)\/212)\/(-1). Is -339 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 208369 and 6280837.\nAnswer: 43965859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*o = 759 + 1581. Let c(k) = k**3 + 7*k**2 + 5*k + 6. Let f be c(-6). What is the highest common factor of f and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1843 + -226. Let a be (-8)\/(-28) - 7004\/14. Let l = a + b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1057196?\nAnswer: 2, 7, 17, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 330071600 and 1552?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbqeynceneeqnn. What is prob of sequence qe?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -14424 (base 5) to base 7\nAnswer: -3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 12*j**2 - 46*j + 97. What is the remainder when 625 is divided by n(4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -891, -6, 2, -10, 3, -46 in descending order.\nAnswer: 3, 2, -6, -10, -46, -891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -6. What is the third smallest value in 4\/7, i, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40513550393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + -4 + -8 + 4 + (0 - 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 102*w**2 - 94*w - 909. Let p be s(103). Let q(m) = m. Let d be q(-4). Put -2, p, d, 5 in decreasing order.\nAnswer: p, 5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*t**3 - 21840985*t + 10920495*t + 10920490*t.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 + -29.4. Let q = h - -0.9. Let p = 139\/5 - 28. What is the second biggest value in 2\/19, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -2271.\nAnswer: -454.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 479?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - -11. Suppose -3 = -v, -5*f - 2*v = -0 - q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 0) + -9 - (-23 + -4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 59983 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -8, -28, -58?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 4094 divide 193695879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = 4*y + 13, -13 = 2*a + y - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(576))\/sqrt(2).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - y - 31, 2*n - 23 + 4 = -y. Solve -n + 16 = 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*r*t**3*v**2 - 4*r*t*v*z - 2*r*z - 283*t**3 - t**2*v**2*z - 168*t*v**2*z + 13*v*z wrt v.\nAnswer: -4*r*t**3 - 2*t**2*z - 336*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -293105 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffyfyfyyf. What is prob of sequence fyff?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1108, -1965, -2716, -3361, -3900, -4333?\nAnswer: -4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*x - 49*x - 764950 = -765510 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*b + 102 = 56*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -8. Let f(r) = -r**2 - 3*r - 3. Let y(j) = -3*j**2 - 7*j - 7. Let d(a) = o*f(a) + 3*y(a). Let g(x) = 4*x**2 + 1083 - 1083. What is g(d(l))?\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -692486, -5539687, -18696372, -44317283, -86557162?\nAnswer: -149570751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2145 and 975.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9\/4, -0.4, 1\/4, 16, 40, -0.1?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 3*h + c + 2, 2*h - 3*c + 2 = 0. Put 4, h, 0, -3 in decreasing order.\nAnswer: 4, h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*t**2 - 16*t**2 + 1 + 117*t**2 - 3.\nAnswer: 64*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4204447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2291395\/84 or -27279?\nAnswer: -2291395\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 783 - 780. Suppose -2*z = b*s - 2005, -2000 = 5*z - 7*z - 4*s. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaectzatcca. Give prob of picking 1 z and 2 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/603, -8, 5\/2?\nAnswer: 2\/603","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 6 + 3 - 18*u**2 + 7*u**2 + 3*u**3 to the form m*u**2 + d*u + b*u**3 + n and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -9*o - 5. Let h(n) = 39*n - 3599. Let z be h(93). Let m be 2\/3 + 37\/3. Let x(b) = 15 + m - z + 11 + 19*b. Calculate 13*w(v) + 6*x(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**5\/3 - 164*z**4\/3 + 334*z**3\/3 - 56*z**2 = 0.\nAnswer: -84, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c - 4. Let j be o(5). Suppose -5*h + 21 = j. Let z be 245\/h + 4\/(-16). Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12161?\nAnswer: 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + (56\/30 - 1). Let g = 1 + 2. Let i be (1*-1)\/(g + -2). Sort -4, n, i.\nAnswer: -4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 5*x**2\/4 - 22527005*x\/4 + 394219525\/2 = 0.\nAnswer: 35, 4505366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 18924.64 millilitres in litres?\nAnswer: 18.92464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(63)\/(sqrt(9)\/sqrt(3)))\/(sqrt(24)\/(sqrt(32)\/sqrt(4)*-4 + sqrt(8))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 + -27. Suppose -y = -3*s - 5*y + 1353, 900 = 2*s + t*y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 61\/4 and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of v**5\/160 + 15*v**2\/2 - 6*v. Let x(q) be the first derivative of p(q). Factor x(u).\nAnswer: 3*u**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.6 - 6. Let z = 0.658684 - 0.05871. Let p = z - u. Round p to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 2*c - 3*c + 23, 2*c = -4*q + 12. Let r be 10*q\/2*1. Sort r, 0, -5 in ascending order.\nAnswer: -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -197.113763 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2101212122121 (base 3) in base 13?\nAnswer: -3592c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5)*y\/y**7)\/(y**2\/(y\/(y*(y*y*y**(3\/5))\/y))) assuming y is positive.\nAnswer: y**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 + 14. Let c = -1849\/8 + 457\/2. Calculate the common denominator of ((-33)\/(-935))\/(h\/(-115)) and c.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.006 + -31.394. Round d to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 4:18 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288866 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*u + 38*u + 22*u - 15*u - 23*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (3 - (6 + -2)). Let i(q) = q**2 + 10*q + 9. Let w be i(-9). Suppose w*k = z*k - 98. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -693421, -693419, -693413, -693403, -693389?\n\"Answer: 2*i**2 - 4*i - 693419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -19*b - 60. Calculate the remainder when r(-16) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 6282 + 2*i + 6345 - 12675. What is d(29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14201403 (base 5) to base 3.\nAnswer: -21110210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 1. Let k be t(0). Let h(u) = -5*u**3 + u - 3*u + 3*u. Let w be h(k). What is the highest common factor of 10 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-15) + 866\/10. Let u(q) = q**3 - 7*q**2 + q - 11. Let d be u(5). Let g = d + o. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(100\/165)*(-48)\/18. Solve -4 = n*d - 26*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, -3, 0.3, 102?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74371633 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2867061 to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 61*j**7\/42 - j**4\/6 - 10*j**3 + 5*j + 71. Let c(p) be the first derivative of f(p). Find the third derivative of c(t) wrt t.\nAnswer: 3660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - 8. What is the second smallest value in 0.02, 2\/11, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 11:42 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 - 0. Let b = -33 + 23. Let s = b + a. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 26*w**2 + 30*w - 776. What is z(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -a (base 12) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 67b375 - 0?\nAnswer: 67b375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + z - 5, 0 = -z - 0*z + 5. Suppose -5*p + 4 + 6 = 0. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10123320031 + -230?\nAnswer: -10123320321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 41279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = -6*r + 354. Let y(w) be the second derivative of 5\/3*w**r + 3*w + 1\/5*w**5 + 8*w**2 + 0 + 16\/3*w**3. Factor y(b).\nAnswer: 4*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 136643415\/4 or 34160854?\nAnswer: 34160854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001748849 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 31743 divided by -3?\nAnswer: -10581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 57*o + 89*o**3 - 2 - 28*o - 28*o to the form d*o**3 + h + z*o + s*o**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9444569 and 2894.\nAnswer: 18889138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -27 - -31. Suppose m - 15 = -c. Let i = 149 + -118. Calculate the remainder when i is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1406 + 1406. Factor u - 4\/5*m**2 - 4\/5*m.\nAnswer: -4*m*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + -12)*(-7)\/14. Solve 8 = p*w - 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -5*h + h + 3*h. Let k(z) = -1. Let c(y) = 2*y - 1. Let l(o) = c(o) - k(o). Suppose -6*w + 2 + 10 = 0. Determine w*l(q) + 5*g(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9.5 - -28. Let z = -1144 + 1163. Let j = t - z. What is the smallest value in 4, 0.8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -976 + 400. Let f be (-14)\/91 + g\/(-26). Let x be 2*1\/4*f. Solve 0 = 2*t + q - x, -4*t - 5*q = -14 - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -1616, 0 in decreasing order.\nAnswer: 3, 0, -2, -1616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 3*u = -281, -3*t - 292 = 4*u + 541. Is -275 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of j**3 + 202*j**2 + 489*j + 2265930?\nAnswer: 3*j**2 + 404*j + 489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -7. Let p be (-34)\/(-42) - 1\/((-6)\/(-4)). Sort a, 0.4, p in ascending order.\nAnswer: p, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 6*v**2 - 60*v**2 - 76*v**2 + 0*v**2 - v**2 + 0*v**2 + (2 - 2 + 2*v)*(-v + 6*v - 3*v) in the form o*v**2 + y + c*v and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 15 = 0, -4*x - 34*r = -29*r + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u**(-4)*u)\/u*u*u**(-12))**47\/((u*u**(-1\/2)*u*u\/((u\/u**(-1\/6))\/u))\/(u*u**(-1)*u\/u**(-1\/2))) assuming u is positive.\nAnswer: u**(-3953\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-3))\/(135\/54).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36462 + 1504?\nAnswer: 41266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 287933688?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -18. Let g be 4*(i + 2)\/(-1). Solve -g*b - 3 - 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 13, 0.3, 0.15 in decreasing order.\nAnswer: 13, 3, 0.3, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.09 + 0.19. What is the nearest to -2 in 2\/11, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13642*g*u*y - u*y - 33*u + 2*y - 2 wrt g.\nAnswer: 13642*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.3 - -15.7. Let h = 0 - -0.4. Let z = h - o. Which is the closest to z?  (a) 2  (b) 0.3  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2*l + l - 1, -2*l = 4*j + 2. Let d be (4\/(-12)*j)\/2. Let u = -12 - -20. Solve d*w - u = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.5 and 319370438228.\nAnswer: 319370438229.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -1. Let m = 0.45 - 0.25. Let c(z) = 1466*z + 23458. Let p be c(-16). What is the closest to 11 in p, m, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 11 = -5*t, -2*t - t + 4 = -5*q. Let k = 0 + 2. Is k bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12001121202 (base 3) to base 4.\nAnswer: -120110030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 9:24 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 987106\/52 + 32\/8. Let a = m - 18990. What is the common denominator of 23\/9 and a?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((1*sqrt(24) - sqrt(6)) + (sqrt(48)*2)\/sqrt(8))\/(sqrt(4)\/(sqrt(162)*2)).\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 4802*c + 336142. Determine n(-70).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -99*o - 211*o - 156*o + 33*o - 123*o in the form f + c*o and give c.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5094.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 633981.\nAnswer: 3, 17, 31, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of 91\/6*v**3 + 0 - 101\/2*v**2 - 56*v. What is the derivative of k(i) wrt i?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -3  (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a**2 + a - 1. Let h be v(1). Solve -24 = h*s - 8*s + 2*o, 4 = -4*s - 5*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -773 (base 16) in base 6?\nAnswer: -12455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 10:14 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04 + 969.\nAnswer: 968.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.18568 and 1668.\nAnswer: 1667.81432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b8954 (base 15) in base 3?\nAnswer: 10221221010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n - 12. Let q be k(-10). Let d = -3 - 0. Put 3, q, d in descending order.\nAnswer: 3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 6, 5, 4, 1, 6340, 2.\nAnswer: -1, 1, 2, 4, 5, 6, 6340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80\/(-40)*(-75)\/6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -10 + 8 + 7*w**3 - 21*w**3. Let q(m) = -9*m**3 - 1. Calculate 5*a(l) - 8*q(l).\nAnswer: 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -5*h**4 + 75*h**3 - 315*h**2 + 245*h = 0?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -546 + 577. Suppose -7*l + 10*l = -4*f + d, 13 = l + 2*f. Let z(k) = 1 - k - 2*k + 2*k. Let g(o) = 3*o - 6. Calculate l*z(s) + g(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 32 = -52. Solve 0 = -4*v - 2*w + 8, 10 = 5*v + 3*w - x*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -1\/5  (c) 1.1  (d) 3\/5  (e) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.158682kg in grams?\nAnswer: 1158.682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 9*l + 11*l - 7 = 0, -2*d - 5*l + 19 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.39012 rounded to 2 dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -366 in 0, 0.03437, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-25))\/(55\/25).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = -p + 3*p. Let d = -14 + -25. Let a = d + 51. What is the remainder when p is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(1088) + 3)*3)**2 + (sqrt(1088)*1*5)**2.\nAnswer: 432*sqrt(17) + 37068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10374 = -111*l - 2382. Calculate the remainder when l is divided by 49.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5780 and 185980.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**2 + 17*t**3 + 11*t**2 - 640 - 2*t**2 - 96*t - 16*t**3 + 2*t**2.\nAnswer: (t - 10)*(t + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -118*q + 3. Let o(h) = -703*h - 4. Determine d(o(l)).\nAnswer: 82954*l + 475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -150 - -150. Let v(l) = -l + 1. Let n be v(y). Which is greater: n or -2\/77?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1292 - 5579?\nAnswer: -681b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 349 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 7*q**3 - 2*q**2 + 1. What is the remainder when -15*(8\/(-5) + 3\/3) is divided by s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -2. Suppose -48 = -3*l - 5*i, 0*i = -x*l + 3*i + 64. Suppose -r + 24 = -6. What is the remainder when r is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 310?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -y**3\/4 - 87*y**2\/4 - 1323*y\/4 - 4465. Factor w(j).\nAnswer: -3*(j + 9)*(j + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1041 and -810 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(117) + sqrt(117) + sqrt(117)*2)*-6)\/(-3*sqrt(9)*1 + (sqrt(9) - sqrt(9)*-1)*-5).\nAnswer: -144*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7, z: 4}. What is prob of sequence fz?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12142413131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 507*a*g**2*u + a*g**2 - 2*a*g - 6*a*u - g**2*u + g*u + g - 6*u wrt g.\nAnswer: 1014*a*u + 2*a - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -1\/8, 5, 17, 0.068, 3\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(208) - sqrt(208)) + -2 + sqrt(208) + sqrt(208) + 0 + sqrt(208)*-1 + sqrt(208) + (-4 + 1 + sqrt(208) - -2*(sqrt(208) + 1)))**2*1.\nAnswer: -40*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -31, -14, 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 96468151 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1122 and 1547?\nAnswer: 2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 195814079 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c. Let a(n) = -6*n + n - 7*n. Give a(r(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -81, -128, -175, -222, -269?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-9)\/15)\/((-1)\/5). What is the units digit of 78\/(2\/1) - z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 28 - 84. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -131, -248, -475, -848, -1403?\nAnswer: -2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.014*-38.\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 15 = 0, 142 = 2*x - 3*c - 825. Let s = -975\/2 + x. What is t in 1\/8*t**2 + 1\/2*t + s = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 128 and -0.104.\nAnswer: -13.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ip when two letters picked without replacement from lpiiupppppui?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13189 and 682?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -19*h + 2. Let m(c) = -354*c**2 + 15*c - 30. Let v(t) = 85*t**2 - 4*t + 8. Let q(o) = 4*m(o) + 15*v(o). Give q(f(b)).\nAnswer: -50901*b**2 + 10716*b - 564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 79\/2 of a kilometer in meters?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2058\/3773*-55*1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 2, -311, -0.2, -9, -24, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6746*u**3 + 72*u**2 + 5*u - 4?\nAnswer: 40476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0057069 to five dps.\nAnswer: -0.00571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + a + 4*a + 0*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25059141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 + 21. Solve b*l = 2*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29942656.16 rounded to the nearest one hundred thousand?\nAnswer: -29900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6346779, 6346775, 6346771, 6346767, 6346763, 6346759?\nAnswer: 6346755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1358364, -2716743, -4075118, -5433489, -6791856, -8150219, -9508578?\nAnswer: -10866933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*p = -20 + 45, p = -5*y + 20. What is the biggest value in y, 0.1, 7\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1994, -3980, -5954, -7910, -9842, -11744, -13610, -15434?\n\"Answer: b**3 - 1993*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 9  (c) -0.4  (d) 3\/2  (e) -0.1  (f) -22  (g) 0.81\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 a, and 2 h when four letters picked without replacement from {a: 6, u: 3, h: 6}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1332480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2760 = -6*v + 10*v. Let q be 155*(-3 + 16\/5). Suppose -q*i + 36*i = v. Calculate the remainder when i is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 529343 is divided by 1330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1466.3 - -1452.3. Sort 34, 3, 0.2, i in descending order.\nAnswer: 34, 3, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (0 + sqrt(243) + 2)**2 + (5 + (sqrt(243)*1)**2 + sqrt(243) - (1 + sqrt(243))*2))*-2.\nAnswer: -996 - 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62481 divided by 1059.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-5*(-2 + sqrt(684)))**2.\nAnswer: -15000*sqrt(19) + 430000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4958 and 536?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -67 or -36.459?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {j: 2, t: 2, d: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 116971 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 9342*u = 9338*u - 119, 2*p - 6*u - 206 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 552 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -179968 by 22496.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 - 118 = -2*l + z, 2*l + 5*z - 202 = 0. Suppose -245 = -t + l. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*7*3\/42*(-14)\/(-903)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -2\/21, 0.1, -1.\nAnswer: -27, -1, -2\/21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, w: 7, l: 6}. What is prob of picking 4 w?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*d - 115 = -i, -92 = -4*d - 3*i. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/416 and -75\/47648?\nAnswer: 619424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -63696.1 and 0.21.\nAnswer: -13376.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -15*y**3 - 4*y + 3. Let u(b) = -b**3 + 11*b - 6*b + 8*b**3 + 7*b**3 - 2. Let i(l) = 3*u(l) + 2*z(l). What is the second derivative of i(o) wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -7*c**2. Let d(m) be the first derivative of 2*m**3\/3 + m - 4805. Calculate u(d(f)).\nAnswer: -28*f**4 - 28*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 0.047, -2.2, 51, -3?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, h: 8}. What is prob of sequence uu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51*-7.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of q**7\/1575 - 4*q**6\/225 - 19*q**5\/450 + 17*q**4\/90 + 7204*q**2. Find c such that d(c) = 0.\nAnswer: -2, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -0*h + 1. Suppose -u + 6 = h. Which is the nearest to -1?  (a) 1  (b) u  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 180*l - 4304. Determine r(24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10 or -172\/15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of 0*y**5 + 1\/24*y**4 + 1\/30*y**6 + 1\/6*y**3 + 2*y**2 + 0 + 0*y. Is m(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2139 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 4*s**2 + 4*s + 5. Let c be z(5). Suppose c = -l + 2*l - 249. Let m = l + -64. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - 3 - (4 - -1 - (19 + 7)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -7, 4942, -17 in descending order.\nAnswer: 4942, 2, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -4, 3, -5\/4, -2\/7, 1.23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 545483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + 64\/4 + 1. Suppose 2*o + 4 = -4*b + 6, -3*o - w = 0. Suppose -3*m + 124 = i, b = -3*i - 3. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 514786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**3 + 218948827 - 218948827.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 a factor of 281337366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 15*y**3 + 3)*(-3 + 2 + 3) - 162*y**3 - 120*y**3 + 430*y**3.\nAnswer: 118*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.746  (b) -0.4  (c) -2\/11  (d) -34  (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 14827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*u**4 - 10*u**4 - u**4 + (1 - 2*u**2 - 1)*(0*u**2 - 13*u**2 - 8*u**2) + 2*u**2 - 2*u**2 + 2*u**4.\nAnswer: 23*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, v: 1, k: 2, i: 1, f: 1, o: 1}. What is prob of sequence kofi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -13*g**3 - 22*g**2 - 167*g - 12. What is the hundreds digit of s(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gqgqqqgygqyyqyqtu. What is prob of picking 2 y and 1 q?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 5*n + 3*n + 9*n + 17. Let y = 54 + -32. Suppose 6 - y = 4*o. Let p(f) = 6*f + 6. Give o*v(l) + 11*p(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1919589*6.9\nAnswer: -13245164.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -20 + 6 + 3*a - 77 in the form s*a + u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.27 times -178?\nAnswer: -48.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1469 (base 10) in base 6?\nAnswer: -10445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 27*m - 65*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*d - 133 + 172 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4755157.\nAnswer: 11, 432287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c + 0*c - 2*c)*(-21*c - 12 + 12).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1929291 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 14348*n + 2465. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooxxxooooxxxxxoox. Give prob of picking 1 o and 3 x.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081606039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 252?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + -1. Let b = 8 + k. Let l = b + -3.008. Round l to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 163 + 160 + 513*h**2 - 323 in the form x*h**2 + z + g*h and give x.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1894?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u - 5*y + 24, -4*y = -3*u - 20 + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jn when two letters picked without replacement from nnjjnndnjnjjnnd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156932050?\nAnswer: 2, 5, 11, 29, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 25, 151, 363, 661?\n\"Answer: 43*o**2 - 3*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 539 a factor of 29209526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 8*z + 5. Let p be c(-4). Let k = 9 - p. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y - 3*y - y**3)*(38 - 34 + 82) + (3*y**3 - 4*y**3 + 3*y**3)*(1 + 0 + 0) as z + a*y + i*y**3 + q*y**2 and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3159 is divided by 176?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -226*s**2 + 13051*s - 57858352 wrt s?\nAnswer: -452*s + 13051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of 0 - 1\/4*w**4 - 1\/2*w**2 + 0*w**3 - w. Find the first derivative of r(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 50 = 2*x, -2*x = -2*w - 7 - 21. Let u(z) = -2 - 9*z + z - 16*z**2 + z + 3*z. Let c be u(-1). Is w at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13120 + 62?\nAnswer: 13182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 10 = -z + 3, 3*f + 4*z - 16 = 0. Let y = -10 + f. Suppose -14 = 6*k + 22. Is y at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95 - (-12 - (-11 - 56)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*w = 0. Suppose -3*j + 2*j = w. Suppose -t + r = -60, -3*t + j*r - 2*r + 165 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -44038.9.\nAnswer: 44038.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, c: 3, l: 6}. What is prob of sequence lc?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/463, 3, 1?\nAnswer: -2\/463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (206 - 108 - 212)*(2*d - 2*d + d)*(-4 + 1 + 1)*(-5 - 20 + 10) to the form u + q*d and give q.\nAnswer: -3420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 300*g - 1760. What is the remainder when 465 is divided by n(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-88)\/(-8) - 7 - 5. Let r(k) = k - 1. Let i(b) = -3*b**2 - 2*b + 1. What is x*i(y) - 2*r(y)?\nAnswer: 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 14*s**2 - 129*s + 18. Calculate g(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 24 = -3*t + 4*t, -t + 4*v - 9352 = -9253 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 32 - 5\/25*0. Let l = n + -10. Let t(c) = 4*c**2 - 5*c + 3. Calculate the remainder when t(-4) is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-1\/2))\/(n**8\/n)*(n\/(n**(-3\/4)\/n))\/n**8)**(1\/3) assuming n is positive.\nAnswer: n**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1046329.\nAnswer: 1046329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -1322320322311?\nAnswer: -1322320322302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = z, -5*z = 4*u - z - 12. Let k(g) be the second derivative of 6 - 1\/6*g**3 - 5*g - g**2. What is k(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 223353 = 85681. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + 22. Let b = l - 7. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, p: 3, d: 3, n: 2}. What is prob of sequence pnm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 3 z when four letters picked without replacement from {s: 1, m: 2, v: 3, z: 4, y: 3, b: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 167433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 12) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 138 + -133. Let d(k) = 3*k**3 - 4*k**2 - 2*k + 2. Let f(o) = -7*o**3 + 9*o**2 + 4*o - 5. Calculate t*d(s) + 2*f(s).\nAnswer: s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.077854 to 4 dps.\nAnswer: -0.0779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -20*x - 253. Let h(g) = 15*g + 252. Let c(u) = 5*h(u) + 4*o(u). Let t(d) = -2*d**2. What is c(t(s))?\nAnswer: 10*s**2 + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/1 + 12)\/(11\/22). Sort l, 2, 4, 0.\nAnswer: 0, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s + 3*s - s + (-4*s - 3*s + 4*s + (3*s - s - s)*(-5 + 0 + 0) - 5*s - 3 + 3)*(-3 + 5 - 1) in the form v + f*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (100 - (-42 + 31)) + -62.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 17, w: 1}. What is prob of picking 3 a?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**2\/11 + 2088*m\/11 - 4168\/11 = 0. Calculate m.\nAnswer: 2, 1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3696809537?\nAnswer: 19, 2087, 93229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-8))\/(1\/6). Let g be (2 + 0)*3\/q. Let b = 3 - g. Solve -3*y = 3*p + 2*y + 3, 0 = -b*p - 3*y + 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 440 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1655+-13\nAnswer: -13.1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 81331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, r: 1, q: 2, u: 1, c: 7, j: 2}. Give prob of sequence jdj.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -330 = -3*t + 45*d - 50*d, 219 = 2*t + 3*d. Calculate the least common multiple of t and 735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.016 - -0.01595214. Round w to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 2726153 - 0?\nAnswer: 2726153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of -i**8\/840 + i**7\/2520 - i**5\/120 + i**4\/4 + i. Let l(u) be the third derivative of w(u). What is the units digit of l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 1)*(3 + 0 + 3140*m - 8 + 5).\nAnswer: -12560*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 756549, 756447, 756345, 756243, 756141, 756039?\nAnswer: 755937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 2*i - 2*a, 57550 = 4*i + 2*a + 57500 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 47068*v + 8023048.\nAnswer: 4*(v + 173)*(v + 11594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110110101 + -11000001001010110?\nAnswer: -10111101010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48055 is divided by 340?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(2\/21)\/j)\/j**(-2\/21))\/(j\/j**12*(j*j**(-7\/5))\/j) assuming j is positive.\nAnswer: j**(1322\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 16, -8*f - 5*p = -9*f + 30043. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38.1 - -22.1. What is the fourth biggest value in i, -4, -3\/8, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 8*c**2. Let l(a) be the second derivative of -a**4\/6 + 51*a. What is l(i(o))?\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -204*v - 1957. Calculate a(-15).\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 100693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**3 - k + k + (-k**3 + 0*k**3 + 3*k**3)*(0 + 2 + 0) - 6*k**3 - 1 + 10*k**3 + 3.\nAnswer: 7*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 191185 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 4*d = -39*d - 26*d - 751, -5*j + 46 = -6*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -2\/15, -1\/4 in descending order.\nAnswer: -2\/15, -1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 AM and 8:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 185*-1971.\nAnswer: -364635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, 1, 18\/11, 2, -2\/2137?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 306*g. Let a(m) = -21900*m. Determine r(a(u)).\nAnswer: -6701400*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -0.0218?\nAnswer: -0.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 176 - 175. Solve 2*q - z = 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/2943 and -35\/96.\nAnswer: 94176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -4*m + 8. Determine z(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 205832637 to the nearest integer?\nAnswer: 14347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2*g + 52576 = 4*v, 12*g - 52586 = -v. List the prime factors of v.\nAnswer: 2, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -733.\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 79582 (base 15) to base 11\nAnswer: 244007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5635316 or 107071011\/19?\nAnswer: 107071011\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 0)*(-2*u - 3*u + 2*u)*(-2*u - 2*u + 3*u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292899 is divided by 145742.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/3*(1 - 4). Suppose 217 = 4*s - 3*f, -4*s + 163 = f - 42. Calculate the remainder when s is divided by 20 - (-1)\/o - 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 3*q - 46 + 3\/2*q**2 + 1\/3*q**3 - 1\/4*q**4. Calculate f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(117)*-1 + sqrt(117)) + 3*(sqrt(117) + (sqrt(117)*2 - sqrt(117)) - sqrt(117)))\/((-1*sqrt(225) + sqrt(225) + sqrt(225))*-4).\nAnswer: -3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 16644.1224 times 4\nAnswer: 66576.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvkvewleeove. What is prob of picking 3 v and 1 e?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 4*v**2 - 4*v - 5. Let o be f(-5). Let p be ((-15)\/o)\/(2\/4). Suppose -p*s + 28 = -s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m - 6. Let i be b(4). Let c(y) = 9*y + 11. Let l(v) = 4*v + 5. Let h(p) = -6*c(p) + 13*l(p). Calculate h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 10*r + 0 + 3 + 2*r - 4. Determine i(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65591987817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - 3 - 27) + 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -462 + 782. What is the greatest common factor of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 4*j - 48, 2*s - 4*s - 3*j = 10. Let k = s + 11. Factor 0*y - 4\/11*y**2 + 0 - 2\/11*y**4 - 6\/11*y**k.\nAnswer: -2*y**2*(y + 1)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72421\/1135 or -63?\nAnswer: -72421\/1135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57 + -50. Let p(k) = -k**3 + 5*k**2 + 16*k + 1. Let v be p(x). What is the greatest common factor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a - 9. Let m be s(-6). Suppose m*p = -2*b + 13, 5*p = -4*b + 32 - 9. Suppose -b = -4*o - 26. Sort o, -2, 5 in ascending order.\nAnswer: o, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 21 + 1. Let d = -8 + m. Factor -j + 2*j**2 + j**d - 9 + 3 + 4.\nAnswer: (j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78*c + 152*c - 85*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of 45*l**5\/4 + 3*l**4\/8 + 5*l**3 + 199*l**2 - l. What is the second derivative of y(q) wrt q?\nAnswer: 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 3*w = -3*l - 458, -w + 442 = l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + -81 + 27 + 32 + -75\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 6*d**2 - 3*d - 3. Let c(a) = -12*a**2 + 5*a + 5. Suppose 0 = y - 3, -q = -2*q + 2*y - 3. Determine q*c(i) + 5*p(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 7*n**3 + 4*n**2 - 114*n - 205. Is l(28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-3 - 1\/(-2)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1285 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 4*f**2. Let n(g) = g**2 - g + 2. Let b(y) = -9*y**2 + 12*y - 24. Let p(h) = b(h) + 12*n(h). Give p(u(c)).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 5*a**2\/2 - 5*a + 486. Let s(w) = -2*w**2. Determine u(s(v)).\nAnswer: -10*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -560 - -566. Let m(l) be the second derivative of 1\/6*l**3 + 0 - f*l + 7\/2*l**2. What is the first derivative of m(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -745964 less than -745474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 184*d**6 + 2*d**2 + 42?\nAnswer: 22080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -9*t**3 - 10*t**2 - 352*t + 10. Let s(u) = 14*u**3 + 14*u**2 + 528*u - 14. Determine -7*b(l) - 5*s(l).\nAnswer: -7*l**3 - 176*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -206615 in -2, 5, 1, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 296.0617 kilograms in tonnes?\nAnswer: 0.2960617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (2 - 1) + 1. Let h be 3\/i*5\/(-15). Suppose 0 = -q + 5*q + 20. What is the third smallest value in h, q, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 - 38. Suppose -5*t + 244 = -346. Let j = 588\/5 - t. Sort 0.5, j, 5, c in ascending order.\nAnswer: c, j, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 705389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/4 and 81\/7802?\nAnswer: 15604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from sssosoodjnndj?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 4089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 9*v + 12 = 0. Suppose v*l = -11*l + 170. Suppose 0 = l*f - f - 19377. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1859 - 5417 - 14506 - 550)*(0*l - l + 3*l)*(-3 + 3 - 2) as q + k*l and give k.\nAnswer: 89328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/42218188 and -109\/20.\nAnswer: 211090940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5*u + 3*u = 0. Solve u = -0*a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17640 + 11480*a + 2548*a + 4*a**4 - 11205*a**2 + 14185*a**2 + 196*a**3.\nAnswer: 4*(a + 2)*(a + 5)*(a + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 89*k + 5 - 44*k - 46*k. Let x(p) = -7*p. Determine l(x(q)).\nAnswer: 7*q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*19983810.3.\nAnswer: -3996762.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*y + 0 + 32\/5*y**3 + 1792\/5*y**2 - 5*y**4 + 1\/5*y**5 = 0. What is y?\nAnswer: -7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - b - 72. Let j(f) = 5*f**2 + 5*f + 344. Let t(d) = -3*j(d) - 14*q(d). What is t(-4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.04842577 - -0.64842607. Let m = -2.6 + 2. Let l = x + m. What is l rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -423352 + -33145?\nAnswer: -456530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/667 - 8695\/8004. Let q = r + 4\/3. Which is the nearest to 0.09?  (a) q  (b) -2\/13  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -5) + -3 + -3 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280014 is divided by 1582.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 14425020 (base 6) in base 5?\nAnswer: 112020343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 456414 = -6003*t + 114243 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169519.\nAnswer: 7, 61, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -3*i + 1 + 2, -11 = 5*i + m - 6 + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2625*b - 2497*b - 1011 = -3315 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*t + 10*t. Let a = 8 + -5. Suppose -c = -2 - 14. Solve t = -a*m - m + c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 7*m**3 - 11*m**2 - 1. Let f(u) = -2*u**3 + 3*u**2. Determine 22*f(w) + 6*p(w).\nAnswer: -2*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 3)*(-133*t + 464 - 464)*(2 - 2 + t)*(0 + 4 - 5) - 175 + 33*t**2 + 175 as y + l*t**2 + q*t and give l.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is a691 (base 12) in base 13?\nAnswer: 8401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**2*h*i + 3*a**2*i**2 + 30*a**2*i + 2*a*h - 3*a*i**2 + 9*a*i - 3*h*i**2 - i**2 - 6 wrt i?\nAnswer: 6*a**2 - 6*a - 6*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 345\/(-460) + ((-7816361)\/4)\/1. Let k = s - -3232687. Suppose -5*g + k - 8678596 = 0. What is g rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12577587 divided by -12577587?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**3 - f**2 - 2*f + 4. Let o be w(0). Suppose 4*b - o*s = 2*b - 10, -24 = -4*b - 3*s. Calculate the least common multiple of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 4*h**2 + 9)*(2 - 2*h**2 - 2) + (-36 - 16 + 6)*(7*h**4 + 15*h**3 - 15*h**3).\nAnswer: -314*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 22 = -8*k, -99*t + 96*t = k - 72 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**4\/3 - 2*a**3\/3 + 2*a**2 + 10*a\/3 + 4\/3 = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0.39  (c) -0.3  (d) 192101  (e) -1  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -212 + 211.8. Let o = 4 - 3. What is the nearest to o in 4, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.894612mm in centimeters?\nAnswer: 0.3894612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 123, 2\/3, -2\/3, -213, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, g: 2}. What is prob of sequence yy?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34) - -2*sqrt(102)\/sqrt(3))\/(3*sqrt(18)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -10*r**2 + 10*r - 3. Let v(y) = -3*y**2 + 3*y - 1. Let w(t) = 2*b(t) - 7*v(t). Let x be w(0). Let d(f) = -f**2 + 6*f - 9. Let l be d(4). Is x > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 74241 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 10:06 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 - 0. What is the highest common factor of t and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 - 1266 = 6*m. What is m rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, l: 7}. What is prob of sequence lll?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 6472, -103, -5, 0 in decreasing order.\nAnswer: 6472, 0, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -2385*l + 2380*l + 11, 5*g - 15 = -5*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02757863617 to five dps.\nAnswer: 0.02758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l**4 - 8435*l**3 + 4208425*l**2 - 520304065*l - 524520930 = 0 for l.\nAnswer: -1, 186, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(-4 + k + 4) + 2*k - 2*k + 2*k - 6*k + 0*k - 2*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 4*i + 21 - 28, -3*i + 18 = 75*v - 77*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 4  (b) -0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 33\/(-22)*(-14)\/3. Suppose -5*m + a*m = 48. Calculate the remainder when 118 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus -29218?\nAnswer: -29216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 6*x + 3*b, -x - 105 = 4*b - 92 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttttttttettxxx. What is prob of picking 2 x and 1 t?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24\/96 + 209001\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339 + 188 = 478*j + 1961 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*r + 28*r - 316 = 0. Solve 4*p - 25 = 5*f, -2*p - 43 = -r*f - 63 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of 7*p**5\/60 + 7*p**2 - 41*p. Let t(b) = 2*b**2 - 19. Determine t(r(a)).\nAnswer: 98*a**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -2*q, 4*n = -2*q + 68. What is the remainder when (-22)\/(-22)*-8 - -206 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qbkabbqdaqqqaaq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Suppose 20 = -y + 5*y, 5*i + y = -135. Let r be (-147)\/i - (-2)\/(-8). Suppose 2*j = -5*p + 3*j + 164, 0 = p - r*j - 28. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**2 + 2*u**2 - 3*u**2)*(3 - 3 - 2 + (-5 + 3 + 3)*(3 - 3 + 1) - 13 - 5 - 2).\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m = -13 + 113. What is the remainder when (-4)\/(-6)*84*4\/8 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -91.193.\nAnswer: -91.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k - 8. Let p be n(-5). Let g be (1 - 2)\/(2\/4). Let t be g + (-1)\/1 + 6. Solve -t*b + 15 = p*c, -2*b - 4*c + 2 = -16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 - 9*t**2 - 25*t - 12. Give n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2379474 is divided by 1887.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 + 6. Let i(y) = 5*y**2 - 19*y - 28. Let h(o) = 5*o**2 - 18*o - 26. Let b(q) = -4*h(q) + 3*i(q). Let k be b(4). What is t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b - 2. What is g(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60535*l**3 + 122218*l**3 - 750879*l**3.\nAnswer: -689196*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28.209336 - -0.790446. Let u = -2633 + 2662. Let v = g - u. What is v rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -1\/4  (c) 2\/21  (d) -7507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -2  (b) 520  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/27*(-4)\/(-8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o = -2*q + 25 - 5, 184 = 115*q - 145*q + o for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 6246  (c) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*y + 21*y = -815. Let n(c) = -169 + y + 2*c - c. What is n(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 3*a = -l - 11, 0 = 3*a - 5*l + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g**4\/7 - 108*g**3\/7 - 124*g**2 - 1188*g\/7 + 968 = 0 for g.\nAnswer: -11, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 10:49 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 + 6 + 11 + 31140 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 186 divided by 4011105\nAnswer: 62\/1337035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h - 4 + 1 + 2 - 7. Let z be l(-6). Let x be (-2)\/(-2) - (1 + z). Solve -6*p + x*p + 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 385*k + 2*k**3 + 2*k**3 - 385*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 53, 87, 121, 155?\n\"Answer: 34*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3*k = 9, 0*v + 2*v - 3*k - 8 = 0. Suppose 2*w - 13 = v. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.064 + -6.364. Let a = 6.2999973 + f. What is a rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -42 - 114334?\nAnswer: -114420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.479824 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.96 - 0.04. Let a = 1586\/9 + -176. Sort a, 2\/7, d.\nAnswer: d, a, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 509, 2073, 4679, 8327?\n\"Answer: 521*y**2 + y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 136, 314, 528, 778, 1064, 1386?\n\"Answer: 18*c**2 + 124*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -5*h - 5 + 4 - 3. Let w(d) = -6*d - 5. Let p = 66 + -63. Determine p*w(m) - 4*y(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 17 - 25. Let s(u) = -114*u**3 + 5*u**2 + 8*u + 3. Is s(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 621, -1\/2, 0.03, 129 in descending order.\nAnswer: 621, 129, 0.03, -1\/2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*a - 14 = 0, 5*z - 3*z - 18 = -4*a. Let l(k) be the first derivative of k**3\/3 - k**2 + 9. Let y be l(z). Sort y, -5, 5 in descending order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-11\/4)*t**23*t*t\/(t*(((t**(5\/7)\/t)\/t*t)\/t)\/t)*t**(2\/23) assuming t is positive.\nAnswer: t**(15213\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 10 - 3 - (-1 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-14))\/((-6)\/7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 178760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 3. What is the smallest common multiple of 2\/(-10) + (-990)\/(-75) and f(3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 4 + -8 - (0 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31721209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -5. Let w be 18*-2*(-2)\/8. Let z = g + w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**4 + 0*f + 0*f)*(-32 + 18 - 55).\nAnswer: 69*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -1. Let s be 15\/20 + 14\/(-8). Let a = 0.6523 + -0.0523. What is the smallest value in s, a, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 797162*s**3 + 3*s - 89524.\nAnswer: 4782972*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204*j**3 + 550*j**3 - 47 + 43 - 357*j**3.\nAnswer: -11*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 791022899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -2383329?\nAnswer: 2383328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 278413 + 38?\nAnswer: 278452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 minus 3051482?\nAnswer: -3051481.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -4*a**4\/9 - 36560*a**3\/9 - 27834344*a**2\/3 + 167115760*a\/9 - 83576164\/9 = 0.\nAnswer: -4571, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5826 - -5824. What is the fourth biggest value in -256, r, -0.5, 2\/11?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 - 278*y + 278*y - 262*y + 261*y.\nAnswer: -y + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2843 at least as big as -2841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 24 = -56. Let c(f) = -f**3 + 11*f**2 - 9*f - 2. Calculate the lowest common multiple of c(10) and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and -685.\nAnswer: -684.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -30*p + 15. Let y be n(3). Let r be -18*((-5)\/y + 3\/5). Let u = r - -13. Solve 0 = -2*g - 7 - u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*x - 73*x = -143 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1832340739.\nAnswer: 1832340739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 247 - 259. Is (168718\/110)\/(-1 - b\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o - 92934 + 92814 = -12*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 5. Calculate the smallest common multiple of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 5*z + 5*c, -12*c + 14*c = 3*z + 35 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -1\/3. Which is smaller: -3.8 or s?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/sqrt(8) + 3 + ((sqrt(13) + -2)*2 - sqrt(13)) - (sqrt(637) + -4 - sqrt(130)\/(sqrt(10) - sqrt(490)))**2) + 2.\nAnswer: -24577\/36 + 178*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -184841, -184843, -184845, -184847, -184849, -184851?\nAnswer: -184853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2769.\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3180950 >= 3180951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t. Let z(x) = -58*x**3 - 23*x. Give -22*r(w) + 2*z(w).\nAnswer: -116*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1868 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 486 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.194 + 0.294. Which is the smallest value?  (a) d  (b) -5  (c) 14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - ((-9 - 23) + 44 + -12 + -1 + 8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**3 - 3*d**2 - 5*d + 6. Let s(n) = -n**3 + 4*n**2 + 6*n - 5. Give -2*s(q) - 3*x(q).\nAnswer: -4*q**3 + q**2 + 3*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 58668, 58653, 58612, 58533, 58404, 58213?\n\"Answer: -2*n**3 - n**2 + 2*n + 58669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -413 by -11.\nAnswer: 413\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 6*f = 0. Suppose f = -3*k - 0*k - 48. What is the units digit of 4\/k - 26\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-772)\/(-965)*25\/(-410)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 423\/(-282)*(-112)\/(-8)*1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 37502.48kg?\nAnswer: 37.50248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3669905719 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add -91 and -25756314.\nAnswer: -25756405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.2 and 6.329746046.\nAnswer: 6.129746046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s + 15*s - 29*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45\/382 - 67\/2674. Let s = 3 - 2.6. Let n = 0.1 + s. Sort -2, q, 1.8, n.\nAnswer: -2, q, n, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3263, -3264, -3265?\n\"Answer: -m - 3262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -181*f + 75417 = -174681 - 213624. Does 42 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, g: 3, a: 5, l: 1, q: 3, b: 1}. What is prob of picking 1 g, 1 m, and 2 a?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1358*y**3 - 40*y**3 - 41*y**3 + (-2*y**2 + y**2 + 0*y**2)*(1 - 3 + 4)*(-3 + 3 - y).\nAnswer: 1279*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**4 + 36*t**3 + 1920*t**2 - 23552*t.\nAnswer: -4*t*(t - 16)**2*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.4665 - -0.4665. Let x(i) = i + 8. Let y be x(-5). Which is the third biggest value?  (a) y  (b) 4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 12 - 96. Let u(h) = z + 3*h + 7*h**2 + 14*h + 2. Let o(y) = -y**2 - y - 1. Let c(l) = 5*o(l) + u(l). Factor c(f).\nAnswer: 2*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2790363011.\nAnswer: 131, 21300481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.3, -15, -0.3, -436 in increasing order.\nAnswer: -436, -15, -0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6303 + 6313. Solve -73*h + 77*h + 12 = 5*z, 3*h + u = 4*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/100425 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 70137 = -2*i - 69446, 4*i = -4*f + 111644. List the prime factors of f.\nAnswer: 3, 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 3555529?\nAnswer: 31999761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaxh when four letters picked without replacement from {a: 3, x: 4, h: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v - 13. Let n(g) = -3*g + 94. Give n(c(w)).\nAnswer: -6*w + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -32, -91, -174, -281, -412, -567, -746?\n\"Answer: -12*m**2 - 23*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-1\/38)\/p)\/(p\/p**(-11)))\/(p*p**(-23)*p*p*p\/(p\/p**12*p)))**(-35) assuming p is positive.\nAnswer: p**(5355\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1897865, 3795734, 5693593, 7591442?\n\"Answer: -5*c**2 + 1897884*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/70 and 41\/8281?\nAnswer: 82810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - l + 1. Let r(u) = 1923099 - 7*u**3 + 3*u**2 - 5*u + 3*u**2 - 1923092. Give 5*m(h) - r(h).\nAnswer: 7*h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -5*c + 22. Let p be f(8). Let o be 35\/2 + (p\/4 - -5). Solve 0 = j - 5*j + 8, 4*t - o = -5*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 227791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 12*k + 30. Let h be j(-15). Which is the biggest value?  (a) -0.1  (b) h  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*d - 11*d - 3*d)*(-10 + 3 - 6)*(2 - 4 + 0)*(3 + 0 + 0).\nAnswer: -2730*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/6)\/((-10)\/15). Let c(m) = m**2 + 13*m - 14. Let u be c(-14). Suppose -x + o*x + 1 = u. Which is smaller: x or -2\/23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-five eighths of a meter?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1155933143?\nAnswer: 1155933143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 4*l + 7. Suppose -l*v = -10*v. Solve -12 + v = 3*s, 2*j - 5*s - 24 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/4)\/1)\/(10 - 12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from emussoemesemssemm.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21294 and 8.\nAnswer: 85176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 7:40 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 816*i**2 - 770*i**2 - 1116*i**2 - 380*i**2 - 821*i**2.\nAnswer: -2271*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 + 1.7. Let x = 8 - 10. Let i = y + x. Is 1\/2 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(1\/((169\/52)\/13)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*8)\/2*2\/52?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p - 2. Suppose 3*r - 1 + 7 = 0. Let o be q(r). Let m(n) = n**2 - 6*n - 8. What is the units digit of m(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.5 - -0.4. Let y = 46 + -185\/4. Which is the nearest to 1?  (a) f  (b) y  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -268 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-35)\/15*(8 - 11))\/(-1 - -2). Solve 3*d - x*i = -16, -d - i + 2*i = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 6*z**2 - 5*z - 43. Let a(m) = -4*m**2 + 4*m + 41. Let q(l) = 4*a(l) + 3*c(l). What is q(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1993?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 - 21*f - 56. Let d be n(-17). Let l be (-170)\/102*d\/(-10). Solve 4*q - l = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 168*c**2*m**3 - 2*c**2*m + 6*c*m**3 - 15*c*m**2 wrt c?\nAnswer: 336*m**3 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 263, 482, 703, 926, 1151?\n\"Answer: v**2 + 216*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 64*k**3 - k**2. Determine f(-1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3638.\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 5*y = -48. Suppose y*l - 45 = 11*l. What are the prime factors of ((-6)\/l)\/((-2)\/(2 - 398))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 48*o - 55. What are the prime factors of s(9)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17076 = 2*l + 2*q, 15432 = -10*l + q + 100768. What is the least common multiple of l and 6?\nAnswer: 25602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i + 122 - 4*i + i**2 - 15*i - 78. Let y be t(14). Suppose 0*x + 2 = x. Solve 7 = -x*n + 3*o - 0, -n + y = 4*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000803536 to six decimal places.\nAnswer: 0.000804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11613367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -10400*h + 7748. Let b(p) = 671*p - 500. Suppose 3*n + 11*n - 70 = 0. Let l(x) = n*k(x) + 78*b(x). What is the derivative of l(v) wrt v?\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8841580*a**3*z**2 + 2*a**2*z + 3*a**2 + 274*a - 55*z**2 + 4 wrt a?\nAnswer: 53049480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - -0.1. Let x = 2983\/186 - 58\/31. Let h = -31\/2 + x. Which is bigger: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8999.504ml in litres?\nAnswer: 8.999504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c + 97. Give x(-38).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 0, 60*g + 2*x + 3 = 59*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**13)**(1\/32)*(u*(u\/((u*u**(-1))\/u))\/u)**(2\/49) assuming u is positive.\nAnswer: u**(765\/1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 6 + 0*d + 2*d**3 - d - d - 4*d**2 - 4*d. Let m be j(4). What is m rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 3, -3*o = -2*k + 1 + 6. Let y = -105 - -109. What is the third smallest value in y, k, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 7*r + 0*r = 2*r + 50, 4*f - r + 10 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28 - -3 - -48) + -64?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 5 + (7 - 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 28*v + 20. Let k be p(4). Suppose -4*j - 122 = 3*l - 8*l, 5*l = -j + k. Let g be l*(4 + (-9)\/2). What is the second smallest value in g, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4\/7 + 8*x**3 + 306*x**2\/7 + 36*x.\nAnswer: 2*x*(x + 1)*(x + 6)*(x + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 56850?\nAnswer: -56855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 3*g + 366. Let y = g + 69. Let c = -25 + 42. Calculate the remainder when c is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/36 of a hour?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 56\/42*1\/(-6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72 and 2178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -z - 78. Let r be (-48)\/26 + 16\/z - -5. Solve -4*t - 1 - r = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 22*d**2 - 1212*d + 108. What is k(55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of -p**4\/12 - 17*p**3\/6 + 85*p**2\/2 + 79*p + 2. Let r be v(-21). Which is the nearest to r?  (a) 0.1  (b) 1  (c) -2\/9  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 118*q**2 + 697. Let t(i) = 21*i. Give t(l(g)).\nAnswer: 2478*g**2 + 14637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 (base 10) in base 13?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -1\/6*f**3 + 0*f**4 + 0*f - 5*f**2 + 2\/15*f**5 + 0. What is the derivative of s(m) wrt m?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 19928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/35 in -2\/3, 1, -75, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1060 is divided by 68.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 r when four letters picked without replacement from {r: 4, w: 2, y: 1, p: 1, v: 9}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2662) + (2*sqrt(2662) - sqrt(2662)) - sqrt(22))\/sqrt(11)*-2 - (3 + (sqrt(200) + sqrt(200)*1)*6)**2.\nAnswer: -28809 - 762*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24950 + 24953. What is the nearest to -1\/56 in -4, 4, m, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t**2 - 10*t - 4. List the prime factors of w(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 18 + 26. Solve -5*f = -3*p - 9, 0 = 2*p - l + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -99 + 358. Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 120*c**5 - 300188*c**4 + 769836*c**3 - 359872*c**2 + 39984*c = 0. What is c?\nAnswer: 0, 1\/6, 2\/5, 2, 2499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1303*s - 43596 = 8524 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1665, 10, -2, 40, -3 in ascending order.\nAnswer: -1665, -3, -2, 0, 10, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(2*(-2)\/(-76)). Let k = -23 - j. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 12 - 0 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -3*p**2 + p + 2*p**2 + p**3 + 0*p + 2*p**2 + 7. Does 7 divide r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -198393*u - 396844. Determine o(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*o + 20. Let q be (-6)\/15 - (-744)\/o. Suppose -2*s + 3*f + q = 0, 0 = 4*s - 2*s + 4*f - 46. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35359.88 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.602006ug to nanograms.\nAnswer: 1602.006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 163*c**2 - 2*c + 43*c**2 + 34*c**2 to the form l*c**2 + b + j*c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 + (-19 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z + 60 = 4*z. Let j be 8\/6*((-243)\/z)\/9. What is the greatest common divisor of 48 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3b (base 13) to base 6.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4420 (base 5) to base 4.\nAnswer: 21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 5*d + 3)*(-22 + 46 + 0)*(1 + 2 - 6) to m + p*d and give p.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -8*y - 6. Let s(f) = -7*f - 5. Suppose -q + 10 = 6. Let x(u) = q*o(u) - 5*s(u). Determine x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 32426\/7 - (-5 - (-111)\/21). Suppose -5*u + n - 1352 = 0. Suppose u = b + 3*b + 2*m, 3*b + 2*m = 492. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t - 39. What is i(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -991\/9 + 110. Suppose 0 + 11 + 11 = -22*n. Which is the third smallest value?  (a) n  (b) z  (c) 1\/3  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 7:58 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 185499023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-29 - -14 - -14)*(-2)\/14\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 minus 11725479.53?\nAnswer: -11725479.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*d = -g + 60, 0 = -32*d + 46*g - 47*g + 150 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -11*k + 2. Let s be d(-10). Suppose -543 = -5*n + 2*m + m, s = n - 4*m. Suppose -5*x + 4*r + 285 = n, 4*r - 8 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(-1\/15)))\/c)**(2\/25)*(c*c**(-32)*c)\/(c\/c**(-2\/53)) assuming c is positive.\nAnswer: c**(-618359\/19875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 7  (b) 6  (c) 0.2798\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 + 1. Let m(c) = 2*c**2 - 1075. What is m(r) - 4*p(r)?\nAnswer: -2*r**2 - 1079","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1088903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 402817.01 rounded to the nearest 100?\nAnswer: 402800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0051706612 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25821 is divided by 5158?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16a9 + d667?\nAnswer: bd9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 4. Suppose j = -p + 1 + 1, -3*j = 5*p - 14. What is the units digit of i(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 839 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3404 and 19949216.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 14\/3. Let c = -10 + 17. Let o = c + -8. Are i and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12088 - 12087.893. Which is the second biggest value?  (a) 2.4  (b) f  (c) -1\/4  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-96))\/((-146169)\/8829 - -8*1*2)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/(-18) - 235\/(-45) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -9*d + 64. Suppose s = 3*f - 233, 4*f - 31 = 2*s + 277. Suppose -52 = 3*v - f. Let b be n(v). What is the nearest to 1 in 1\/4, b, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39.512 - -0.0091.\nAnswer: 39.5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-10)*(-20)\/2. Let g be 9\/k - 2\/(-4). Solve -2*i + 4 = g*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -3*v**5\/10 + v**4\/4 + 7*v**3\/6 - 7*v**2\/2 + 17*v + 2. Find the second derivative of d(a) wrt a.\nAnswer: -36*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/4)\/((-2)\/(-90)). Let m be 2\/(-9) - (-4)\/n. Sort -2\/17, m, -4 in decreasing order.\nAnswer: -2\/17, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 0.1, 3, 0.8, 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3223 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -33058580*r**2*u + 45252*r*u + 68*r - 2*u wrt r.\nAnswer: -66117160*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 521*a + 590. What are the prime factors of s(13)?\nAnswer: 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -4*i + 242. Does 12 divide (24\/10)\/3*i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 43 - 34*u**4 + 9*u**4 - 16*u**4 wrt u?\nAnswer: -164*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2316*j - 2043*j**3 + j**2 - j**2 + 957*j**3 - 634*j**3 wrt j?\nAnswer: -10320*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 = 5*v + 70. Let l be (-4 + v)*(-1 - 0). Sort -1\/7, l, 1, -1 in decreasing order.\nAnswer: 1, -1\/7, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001110011110100 (base 2) to base 16.\nAnswer: -19cf4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -17122344, -34244683, -51367022, -68489361, -85611700, -102734039?\n\"Answer: -17122339*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - -6*1*sqrt(171)) + sqrt(171))\/(4*sqrt(18)\/sqrt(2))*5 - ((2*sqrt(114)*-2)\/(sqrt(6) + sqrt(30)\/(1*sqrt(5) + sqrt(5)) + sqrt(6)) + -3).\nAnswer: 3 + 58*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 2232*c + 33796. Determine h(-15).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 1:07 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1a741 (base 12) to base 14\nAnswer: -1034d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2509\/4 + -1287\/2. What is the common denominator of r and 65\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8343 + 8345. Solve -5*i + 2*v = 4, 0*i + 2 = r*i + v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -157\/197040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1000 + 22?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 12 = -3*k, -3*g = 3*k - 11 - 1. Suppose -z - 2*z + 16 = 2*t, 3*t - 24 = k*z. Calculate the lowest common multiple of 15 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-266)\/(-20) + 2 + (-15)\/50?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 2:21 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1087957 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11957 - 11955. What is the highest common divisor of q and 3962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.119 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -124747?\nAnswer: -124747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 29\/2 of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 3*f**3 - 4*f - 4. Give c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -2*m**4\/5 + 740*m**3 + 37274*m**2\/5 - 137692*m\/5 + 19344 = 0.\nAnswer: -13, 1, 2, 1860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of t**4\/2 - t**2 + 3*t - 2. Let i be c(2). Let m = i + -5. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 47386597 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 460 in -4, 3\/4, -2\/19?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1454, -1455, -1456, -1457, -1458?\n\"Answer: -m - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*o - 137*o = 101*o - 1872 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-3 + (sqrt(198)\/(1*sqrt(9)))\/sqrt(11) - (sqrt(126)\/sqrt(81))\/(sqrt(7) - sqrt(49)\/sqrt(63)))**2.\nAnswer: -3*sqrt(2) + 17\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.097 times 25\nAnswer: 2.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189 = 5*w - k - 176424, 4*w - 2*k = 141282. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115*i = 3*w + 120*i - 3951, -w - 5*i + 1297 = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -244104300*l**4 + 75489513*l wrt l?\nAnswer: -2929251600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 11*c**2 - 14*c - 2. Let t(n) = 5*n**2 - 7*n - 1. Suppose -6 = 2*p + 3*r + 12, -p - 9 = -5*r. Let k(w) = p*t(w) + 4*l(w). Does 4 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**3 + 10*m + 124*m**2 - 10*m - 103*m**2.\nAnswer: -m**3 + 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of j**4\/4 + j**3\/3 + 2*j**2 + 3*j - 1. Let h be r(-2). Let l be (-12)\/(-2)*(h\/(-6) + -2). Put 2, -6, l in descending order.\nAnswer: 2, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 11 = -141. What is the highest common divisor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -86\/1764165 and -51\/32785.\nAnswer: 139369035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*g - 35*g**5 - 252*g - 252*g - 9*g**2 - 542*g wrt g?\nAnswer: -700*g**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66426 is divided by 7379?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 45385742 a multiple of 2505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*-5699 + 1*(1 + -3). Round p to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + w + 7. Let f(a) = a - 1. Let p(x) = b(x) + 5*f(x). Give p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -5. Let v = x - -5. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2600) - sqrt(104)\/(-1*sqrt(4)))\/((sqrt(242) + -3*sqrt(242))*2).\nAnswer: 9*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(1\/7)\/l*l)\/((l\/((l**(-3)*l)\/l*l))\/l))\/((l*l*l**(2\/3))\/l**(-1)))**(27\/2) assuming l is positive.\nAnswer: l**(-522\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142 = 5*r + 2*p, -4*r + 46 + 82 = -2*p. Suppose 2*b = 4*d - 24, 4*d - 5*b = -d + r. What is the least common multiple of 150\/125*40\/6 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 48 - 16 + j - 12 - 15. Suppose 7 = -3*o + 4*x - 15, -4*x - 8 = 2*o. Calculate g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -150477*c**4 - 22*c**3 + 152841*c**2 - 60.\nAnswer: -3611448*c - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1072125 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 435*b**2 + 29. Let i be ((-1)\/(-9))\/(17\/(-306)). Let w(d) = 31*d**2 + 2. What is i*r(p) + 29*w(p)?\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 0  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 766 = -82*g + 2734 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 45599 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r. Let w(t) be the second derivative of 6*t + 1\/3*t**3 + 0*t**4 - 7 + 0*t**2 - 1\/10*t**5. Determine -6*d(s) + 3*w(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*w**2 - 2 + w**3 - 21*w**2 + (-w + 3*w + 0*w)*(-w + w + 2*w**2).\nAnswer: 5*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of 0*f**2 + 3\/4*f**4 - 1\/6*f**3 + 1\/3*f**6 + 0*f - 3 - 9\/10*f**5. Factor r(o).\nAnswer: o**2*(o - 1)**2*(4*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-8)*a**(5\/7) assuming a is positive.\nAnswer: a**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1122, 1153, 1184?\n\"Answer: 31*z + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*c + 10, -4*c + 20 = 5*p - 8*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 + 0.2. Let l = -29.5 - -29.3. What is the closest to g in -1, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-70)\/(-77))\/(12\/33).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 4*k = 25, -8*k + 25 = -3*k. Let a be (-4 + 3)*3*-1. Let m be 1\/((-14)\/(-4) - a). Sort -2, v, m.\nAnswer: -2, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-156) + -7*(-2171)\/8281.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2534 divided by 348.\nAnswer: 1267\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 96576593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 10456\/9, -1\/5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -438*t**2 - 7*t + 1. Let q(g) = 217*g**2 + 4*g. Determine 4*f(a) + 7*q(a).\nAnswer: -233*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-30)\/2*60\/(-25). What is the highest common divisor of a and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 10*f**2 + 7*f - 6. Let r(p) = 21*p**2 + 15*p - 13. Give 9*d(y) - 4*r(y).\nAnswer: 6*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 106*v**3 - 5*v**2 + 5*v. Let k = 14420 + -14418. Let s(f) = 53*f**3 - 2*f**2 + 2*f. What is k*d(b) - 5*s(b)?\nAnswer: -53*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 8:43 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 - 22*c**2 - 2175*c - 473. Calculate k(59).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = 5*r - 5*w, 0 = 3*r - 3*w. Suppose r*i - 20 = -i. Suppose -i*l - 24 = -4*c, 2*l = 4*c + 3*l - 4. Solve 0 = -c*b - 4 - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2  (b) 3\/5  (c) 0.51  (d) 3  (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = 16*u + 99 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*l**3 - 13*l**3 - 19*l**3 - 29*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from yyaaokoko?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3280165264 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 0 + (16 - 6) + -6. Solve 0 = 4*d + h*s - 20 - 3, 5*s = 25 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/1496 and -9\/5032.\nAnswer: 55352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.3, -3\/5, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 - -11. Let b(o) = -h*o - 5*o + 2 + 2 - o**2 - 7. Calculate b(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + y**2 + (1 - 1 + 2)*((0*y + 0*y - y)*(-56*y - y + 12*y) - 8*y**2 - 5 + 5).\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4\/7 - 500*i**3\/7 - 26304*i**2\/7.\nAnswer: i**2*(i - 548)*(i + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 107621152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2395 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -m - 4. Sort 2, m, -3 in descending order.\nAnswer: 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + 13 - 53 - -42.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 356*t + 52. Calculate the remainder when j(2) is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*c**2 + 33*c**2 - 3*c + 3*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -314 - -140?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in 12, 0.4, -0.3, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.23722 times 18324\nAnswer: 4346.81928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/60*270\/162?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1208054 is divided by 1207809.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -209976932 divided by -9544406?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16\/15 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/8 + 3247*l**2\/4.\nAnswer: l**2*(l + 6494)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 24*p**5 - 4*p. Let j(x) = -12*x**5 + 2*x. Let g(v) = -3*h(v) - 5*j(v). What is the second derivative of g(i) wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 229, -990, -4297, -10736, -21351, -37186?\nAnswer: -59285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*j**4 + 2 - 753*j + 584*j**3 + 4774*j + 310*j**3 - 4*j**4 wrt j.\nAnswer: -84*j**2 + 5364*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*-5)\/((sqrt(108)\/sqrt(3))\/sqrt(9)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 + 0.5. Which is the closest to 0.1?  (a) p  (b) -1\/5  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3 - 36*(-9)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 670567981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of 9*h**2 + 3\/8*h**4 + 1\/2*h**3 + 3\/20*h**5 + 0 + 0*h + 1\/40*h**6. Factor s(d).\nAnswer: 3*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18561 and 23?\nAnswer: 18561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2340110 rounded to the nearest 10000?\nAnswer: 2340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 786\/18 + (-1)\/(-3). Find the first derivative of -u*j + 89*j + 111 + 86*j wrt j.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {y: 7, l: 5, h: 2, p: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**15)**20*(((o\/(((o**(-2\/23)*o*o)\/o)\/o))\/o)\/o)\/o*o*o**3 assuming o is positive.\nAnswer: o**(6948\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 25640.522 rounded to the nearest ten?\nAnswer: 25640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1455.809 to the nearest integer.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1330090785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/225 and 129\/337750.\nAnswer: 3039750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(130)*-2 + sqrt(130))*6 + sqrt(130) + (sqrt(130) + (sqrt(130) - 1*sqrt(130)))*6)*4)\/((sqrt(360) + (sqrt(360) - sqrt(360)*2*6) + sqrt(360))*-4).\nAnswer: sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*((-2)\/1 - -3). Let d = 90 + -448\/5. What is the nearest to d in 4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v - 6. Give f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*k**2 - 5*k - 2068 with respect to k.\nAnswer: 20*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*-1*((sqrt(119) - sqrt(119)*-1) + sqrt(119) - sqrt(119)))\/(-5*(sqrt(343)*-1 + sqrt(7))))**2.\nAnswer: 68\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 4:16 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 38719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 50462790 greater than 50462791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from {k: 3, d: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.06 to 1 decimal place.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.01  (b) 0  (c) -0.06366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 - (43 - 45) - -80.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 12:25 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -x + 2320 - 475, 3*x - 5559 = 5*y. List the prime factors of x.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3b92aa8 + -1?\nAnswer: -3b92aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1928505 and 4980?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46007 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 + 45*x**2 - 1500.\nAnswer: -3*(x - 10)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a456 + -4?\nAnswer: -a45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + -22 + 52 + 18 - 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27?  (a) -0.71  (b) -14  (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d + 19*d + 342 = 0. Which is smaller: d or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 + -39. Which is the third smallest value?  (a) h  (b) 5  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -0.4, 19, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-1*6\/(-7))\/(12\/42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of (-6527*(-10 + 11))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 - 7*w + 2. Let d = -12397 - -12464. Calculate the smallest common multiple of u(-7) and d.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - c + 13 = 0, k - 26*c + 11 = -30*c. What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + q + 1 = 0, 10*u - 15*u + 35 = -5*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4883.193cm to millimeters.\nAnswer: 48831.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -198*s + 1284. What is the remainder when t(6) is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4*s - 24 = 0. Let d be ((-2)\/(-3))\/((-1)\/3). Let w = s + d. Calculate the lowest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -29, 1, -4\/3, 2, -848?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 1 + -5 + (sqrt(175) + sqrt(175) + (sqrt(175) + -4 + sqrt(175) - sqrt(175) - sqrt(175))*-2 - (2 + sqrt(175))*3).\nAnswer: -5*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a7a - -dd5?\nAnswer: 35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 3*g + 6, 3*g + 5 + 1 = 0. Sort k, 5, 0 in increasing order.\nAnswer: 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 169592 divided by -2494.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -6*a**2 + 11*a - 26. Let h(x) = -x**2 + 2*x - 5. Let r(c) = 11*h(c) - 2*t(c). Let q(s) = -4*s**2 + 13. Calculate 4*q(w) + 18*r(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 183449838 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114476.\nAnswer: 2, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 119809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 62.01603 milligrams?\nAnswer: 62016.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129715?\nAnswer: 5, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + 5 + 20 + (-516)\/130?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 - 403 - i**2 - 3*i**3.\nAnswer: -3*i**3 - 403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/93 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 3*v**2 - 4*v + 3. Let i be w(4). Suppose -5*k + d = -i, 5*k - 9 = -2*d - 0*d. What is the derivative of 12*q**4 - 15*q**4 + 1 + k wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 AM and 5:50 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/(160\/(-12)))\/(-15). Let a = i - -23\/100. Let x = 842\/21 - 40. Put a, -3, x in descending order.\nAnswer: a, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = w - 8, -27*w = -29*w - 4*j + 4. Suppose w*i - 280 = -2*x, 0 = -2*i + 3*i. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221*o - 316*o - 258*o.\nAnswer: -353*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j - 4*j + 2*j + (3 + 23 - 15)*(0*j - 1 + 0*j + 2*j).\nAnswer: 19*j - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -4, 21, -1\/4, -1.8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2222132 + 5?\nAnswer: -2222123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3174)\/(-4)*(78 + -76).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/567 and 17\/5?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.26*-0.04.\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 426 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -50*h**2 + 5*h - 55. Let k(x) = x**2 + 1. Give -2*i(w) - 110*k(w).\nAnswer: -10*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3 + 0.7. Let v = -0.9 + r. Let k = -2145 - -2143. Which is the closest to 0.1?  (a) -2\/7  (b) k  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 17219, 68888, 155003, 275564?\n\"Answer: 17223*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9531 divided by 129?\nAnswer: -3177\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*v + 282 = 5*j - 28*v + 22, 4*j - 3*j + 64*v - 52 = 0 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.1  (b) 1.063  (c) 3\/2  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -10*a**2 - 667*a + 5162. Let z be j(7). Factor 2450\/11*c - 140\/11*c**2 + 2\/11*c**z + 0.\nAnswer: 2*c*(c - 35)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 0)\/(7\/(28\/(-54)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 111\/88 and -83\/8624?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2199*c - 1134 = 2290*c + 686 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*((((d**(-8)*d*d)\/d)\/d)\/d)\/d)**41 assuming d is positive.\nAnswer: d**(-369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16169)\/259 - -63)\/((-2)\/10)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d**3 - 7*d**2 - 6*d - 2. Let a be v(-4). Let w = a + -7. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -k**6\/60 + 3*k**5\/40 + 5*k**4\/2 - 92*k**3\/3 + 144*k**2 - 4*k + 1. Find n such that l(n) = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13.66 - -11.66. Which is the nearest to 1?  (a) v  (b) -0.3  (c) 5  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78975 is divided by 441.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 15) in base 13?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/16 - (-3)\/(24\/44). Let z(v) be the first derivative of -9*v + 0*v**4 + 9\/5*v**y + 0*v**3 + 0*v**2 - 10. Differentiate z(b) with respect to b.\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1663.772 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -134 (base 16) to base 14\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 309517110 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*w = 62 + 52. Let d(s) = s**3 - w*s**3 + 0*s**2 + s**2 - s**3 - 3*s**3. Give d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -4\/7  (b) -1\/7  (c) 1\/6  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.048 and 0.59569189.\nAnswer: 0.64369189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/44 and 27\/316.\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-36) - 44\/(-36)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006113 to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 21. Suppose 3*f - 3*j = a, -5*f + 12 = -2*j - 25. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16725 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(343) - ((1*sqrt(343) - sqrt(343)) + 0) - ((sqrt(343) - sqrt(343)*2) + 2))**2 + -1 - (-4*sqrt(343)*2 + (-5 + -1 + sqrt(343))**2)).\nAnswer: 84*sqrt(7) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 2*v - 1. Let u be k(-1). Find the common denominator of (-5)\/15 + (-47)\/u and (-31)\/9 - -11*(-14)\/(-693).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9826908 divided by 53994\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42753 by 5519.\nAnswer: -42753\/5519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (10 + -3 + -3 - 5) + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 8. Suppose 5*j + x*w = 25, -13 = -4*j - 5*w + 7. Calculate the greatest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 651 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -10.9795. Round c to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 33 = u, 71 = 2*u - 3*n + 2*n. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -16, 2, 37, 4, -5, 12 in descending order.\nAnswer: 37, 12, 4, 3, 2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 73*w - 2328 = -71*w, 0 = -2*a - w + 2349. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/4802 and 33\/1404928.\nAnswer: 9834496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 2:31 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -792, -1624, -2498, -3414?\n\"Answer: -21*c**2 - 769*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 631*q**2 - 56*q - 164. Is p(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-110)\/(-25))\/11)\/((-2)\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (19\/(3762\/(-12)))\/(36\/(-99)). Sort 2, 21, -3, f in ascending order.\nAnswer: -3, f, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 524995 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -38.319.\nAnswer: 191.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 10 = 2*l, -3*l - 5*o - 19 = -18. What is x in 2\/3*x - 1\/3*x**l + 1\/3*x**2 + 0 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -181, -361, -541, -721, -901?\n\"Answer: -180*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 5) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 160253 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 8415035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 9*z**2 - 6*z + 5. Let w be m(-4). Let k = w - -80. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 4:13 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -26945263 divided by -1?\nAnswer: 26945263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -68 + 128. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1260490*s**4 + 1466*s**2 + 55 wrt s?\nAnswer: 30251760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 55*q + 8 = -56*q, 6 = -3*u - 3*q for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 11687, 12490, 13293?\n\"Answer: 803*h + 10884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3566)\/60 + 4\/(-6). Let g = 239\/4 + k. What is the common denominator of g and 79*1\/(-5)*(-290)\/(-696)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 57  (b) -1  (c) -2\/7  (d) 10  (e) -0.3  (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 59 + -56. Let w(y) = -7*y**2 - 115*y - 47. Let m be w(-16). Which is the nearest to m?  (a) i  (b) 2  (c) -1\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + i + 5*i)*(-1 - 4 - 2).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2237265?\nAnswer: 3, 5, 83, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 385\/(-88)*(-2)\/7?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.9, -3\/5, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 - 5*k**2 - 2*k + 14. Let j be x(5). Suppose 0 = -j*y + 55 + 61. Suppose 68 = 3*r - 22. Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 4:43 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 910179 > 910179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 212?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 226, 1, -1048, 0, -5, 3 in decreasing order.\nAnswer: 226, 3, 1, 0, -5, -1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w = -5*j + 29, 4*j = -w + 18. Let k(m) = 574*m**2 + 7*m + 9. Is k(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.2 - 0.2. Let n = 270.7 - 275. Let v = 4.2 + n. Which is the second smallest value?  (a) 4  (b) l  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 18920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -4*g**2 - 5*g + 21 - 13 - 1. Let w(b) = b - 3 - 3*b + 4*b + 2*b**2. Give 2*i(z) + 5*w(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11412149 to the nearest integer?\nAnswer: 3378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 112 - 75. Let b(s) = -n*s**2 - 13*s - 7 - 20*s**2 + 69*s**2 + s**3. What is b(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0*(10 - 336\/32). What is the closest to 0 in s, -0.5, -1\/26?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112280818 + 13*g**2 - 112280818.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 432625771\/269148 - 70725\/44. Calculate the common denominator of -75\/4 and b.\nAnswer: 24468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -2 + (-3 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 39272722 and 334?\nAnswer: 39272722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**4\/3 - 48*o**3 - 556*o**2 - 6872*o\/3 - 2720 = 0. What is o?\nAnswer: -17, -12, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -235453.\nAnswer: -3\/235453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 2623*k - 163*k**2 + 2624*k + 44*k**2 as i*k**2 + n + r*k and give i.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7240.9 + -7241. Sort a, 542, -5, 3, 1\/3 in decreasing order.\nAnswer: 542, 3, 1\/3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**2 - 119*m - 105*m - 42*m + 18.\nAnswer: m**2 - 266*m + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/497 or 0?\nAnswer: 6\/497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13556725 by 25.\nAnswer: 542269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of -z**5\/20 + 5*z**4\/3 - 28*z**3\/3 - 25*z**2\/2 + 32*z. What is the tens digit of t(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*g, 0 = -5*i + 96*g - 100*g + 47404. List the prime factors of i.\nAnswer: 2, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pplpplplplplpp. Give prob of sequence pp.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3136806 is divided by 686.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-429)\/(-143))\/((-6)\/(-21)*(-6)\/8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306 - 552 = b. Find the common denominator of ((-1)\/((-8)\/b))\/(10 + -4) and -99\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12056 + -8555772.794\nAnswer: -8567828.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -900 - -901. What is the third smallest value in h, -39\/4, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -222520984464 - -0.6?\nAnswer: -222520984463.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1569 or -2?\nAnswer: -1569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/19234 and -31\/295.\nAnswer: 96170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -29\/161, -0.5 in decreasing order.\nAnswer: 1\/4, -29\/161, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -4363 > -4337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hkkz when four letters picked without replacement from zhkkzkzzkhzz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*n**2 - 4375*n - 8770 = 0. What is n?\nAnswer: -2, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyuyyyyyyuyyy.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/2*((-25)\/70)\/(-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 0  (b) -28.6  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2761, 2710, 2663, 2620, 2581, 2546?\nAnswer: 2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2058 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -83*r**3 + 7*r + 5*r**2 + 176*r**3 + 110*r**3 + 16*r**2 wrt r?\nAnswer: 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1.012797l?\nAnswer: 1012.797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a - 8. Let g be c(8). Let f = 4 - g. Solve -5*y + 5*r = -20, r = -f*y - 4*r + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -45 at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.2  (b) -2\/17  (c) 15  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*l + 1235 = 0, 3*p - 5*l + 326 = 4*p. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p - 1. Let y be x(-5). Suppose 6*b - 237 = -87. What is the third derivative of b*w**2 + y*w**5 - 24*w**2 + 0 + 0 wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 101*c**3 + 7*c**2 - c + 550766 wrt c.\nAnswer: 606*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*s = -89*s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/3 in 0, 1.92, -0.3?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-4))\/j**(-16\/7))\/(j**(-1\/3)*j**(-22)) assuming j is positive.\nAnswer: j**(622\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.136 - -4.13. Let n = x - -5.006. What is the closest to 0.2 in -2, -3, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71533491307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 13*p + 8)*(-29 + 3 - 15)*(4 + p - 4).\nAnswer: -533*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y. Let u(g) = 3*g. Suppose 0 = -4*p + 3*p + 4. Let i be p\/12 + 20\/(-6). Determine i*k(c) - 3*u(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + 2. Suppose -t + d*t = 84. Suppose -19*w = -22*w + t. Put 1, 0, w in decreasing order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-95)\/(-20) + -6 - ((-3)\/162)\/(200\/13980).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/49, -5, -1, 0.6 in ascending order.\nAnswer: -5, -1, -6\/49, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*a - 390*a**3 + 392*a**3 - 1 - 28*a**2 + 7*a**2 to i*a**2 + o + k*a + l*a**3 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 - l**3 + (-l - 2*l + l)*(-19*l**2 + 15*l**2 + 6*l**2) to the form v*l**2 + z + m*l + o*l**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139670.\nAnswer: 2, 5, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28\/157 - -4391\/21980. Let i(d) be the third derivative of y*d**7 - 3\/40*d**5 + 0 + 0*d**3 + 1\/8*d**4 - 1\/40*d**6 - 2*d**2 + 0*d. Solve i(h) = 0 for h.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q**3 + 58 - 22 - 2526*q**2 - 37.\nAnswer: 5*q**3 - 2526*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1888057, -5 in ascending order.\nAnswer: -5, -1, 1888057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7\/((-14)\/(-13935))*(-24)\/(-18). Suppose k = 10*u - 3080. List the prime factors of u.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 80, 179, 316?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1199906.2747 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6384 is divided by 206.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-25)\/5)\/30 + 58\/(-12). Let m be w + (-17 - -138) + 5 + -1. Calculate the highest common factor of m and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -15*o + 4. Let x(i) = 121*i - 33. Suppose 7*j + 20 = 2*j, -5*j = 4*u + 4. What is u*x(h) + 33*p(h)?\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 0.077?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 7998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -141 by 178.\nAnswer: -141\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6373000 rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 - 8*o**2 - 6*o + 5. Let d be c(-7). Let z be ((-2)\/2*(1 + d))\/1. Suppose -24 - z = -5*s. Solve 4*l + 24 = 4*y, -l - s*y = -5*l - 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 2*i + 6, 0*o = o + 4*i + 6. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2017352850.\nAnswer: 2, 3, 5, 37, 103, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 3*b - 15. Let a be y(0). Let c be 9*(6\/(-2) + (-50)\/a). Solve 17 = 2*t - 7*f + 2*f, 2*t - f + c = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28927 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 31. Suppose -2*k - 42 = -2*w - 7*k, -w - 2*k = -r. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eull. What is prob of picking 1 l and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.06 from 14828.\nAnswer: 14828.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 143*i + 13. Is g(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-18))\/(((-30)\/(-4))\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zrx when three letters picked without replacement from gxrhxxrgxxgrzngggrgh?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l - 3. Let q be h(-5). Let m = -23 + q. Put -2, m, -1 in ascending order.\nAnswer: m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 6*p**2 - 6*p - 3. Let b be v(-6). Let q = 100 - b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -21*j**3 + 6*j. Let t(v) = v**3 - v. What is k(w) + 6*t(w)?\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4 = 0, 5*u - 8*u = k - 496. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 550908 and 2?\nAnswer: 550908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 4:49 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7821 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5090500 to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 210744 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -308 (base 11) in base 16?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(891)*1*-3 - ((sqrt(132)*-2 - sqrt(132))*-2 + sqrt(132))\/(sqrt(12) - sqrt(72)\/(sqrt(6)*-1)))**2.\nAnswer: -305*sqrt(11) + 41031\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 6 + -6 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 3:32 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*l + 11*l - 20*l + (3 - 2 + 0)*(0 - l + 0) + l - 4*l + 2*l as n*l + y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15 - -2166?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 12. Let x = -2 - d. What is the tens digit of (-6)\/(-15) + 63\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19186267 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z + 12. Let t be x(9). Suppose -t*m - 6 = -4*m. Suppose -3*b + m*b = 24. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6098*y**2 + 13*y - 31*y**3 - 6095*y**2 + 22*y**3 + 2 to the form b*y + w + d*y**3 + a*y**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 - -21. What is the nearest to 1 in 0.4, 0.2, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (-2)\/(2\/(-2))*612238\/748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 - -5278478?\nAnswer: 5278482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 28\/6 + (-19)\/(-57). Suppose m = 5*m - 4*i - 492, p*i = m - 127. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + a**2 + 4*a + 4. Let l be w(-2). What is the lowest common multiple of 21 and 4\/8*-16*(-12)\/l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1)*(3*z - 4*z + 5*z)*(0 + 7 - 2).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -q**6 - 1950*q**4 + 2376*q**2.\nAnswer: -120*q**3 - 46800*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**5\/5 + 4*z**3\/3 + 7. Find the third derivative of x(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 572.\nAnswer: -171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.67405 millimeters to kilometers.\nAnswer: 0.00006167405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 411.5\nAnswer: 1234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-14)\/(-49)*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2 - 2840*g - 30635.\nAnswer: -5*(g + 11)*(g + 557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 3*f + 10 = 1, f - 2 = 0. Let w(a) = a - 1. Let z be w(s). Let x be ((-1)\/(-2))\/((-1)\/z). Is 2 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-2)*(3 + 1). Let m = -196 - -393\/2. Suppose -m*n + 0 - 1\/2*n**w = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6409624 is divided by 3204781?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + 1 + 2 - 1. Let y(i) = 10*i + 1. Let q be y(t). Let m = -7 + q. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-24 + 1)\/(3\/(-60)). Suppose -z = -4*k - 100. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 0. Let y = -8 + 7. Let x = g + y. Solve x*u + u - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 8*n**2 + 5*n**2 - 8*n**2 + 10*n**2. Suppose -4*d + 5*d - 30 = 0. Let t(x) = d*x + 25*x - 59*x. What is i(t(b))?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11\/16?  (a) -4  (b) 3\/5  (c) -1  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7 + -3 + 6 + -5. Let s(y) = 4*y**3 + 2*y**2 - 4*y + 2. Let j be 6\/8 - (-3 + 55\/20). Let w be s(j). Is m > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s. Let k(d) = -8*d + 3. Let b(v) = -15*v + 5. Let n(x) = -3*b(x) + 5*k(x). Calculate f(n(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qmlauqaaauu. What is prob of sequence qm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jxjjjzjzzxzzjxxkzz. What is prob of sequence zkzz?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of k**2 - 28*k + 8 - 950345*k**5 - 132*k - 2*k**6 + 68*k**4 + 950346*k**5 wrt k?\nAnswer: -240*k**3 + 60*k**2 + 1632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 207 + -202.55. Let y = j - 4.3. Let r = -0.14999969 + y. Round r to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = 3*d + 3*l, -d - 102 = 3*d + 2*l. Let w = 72 + d. Let s be (5\/(-3))\/((-15)\/w). Solve c = -c - 2*r - 4, -37 = -4*c + s*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 3*x + 4. Let p(j) = -j**3 - j**2 - j - 25. Let d be p(-3). Determine y(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20164*m**4 + 4194680*m**3 + 218211972*m**2 + 6144320*m + 43264.\nAnswer: 4*(m + 104)**2*(71*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -822 != -834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -24*3*2\/(-4). Suppose 0 = -2*r + 2*a + n, -r = -2*r - 5*a - 6. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 114?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*p + 4042 = -1787. Let b = -4 + 7. Let h be 3*(p\/(-63) - b). What is the closest to 0 in -0.3, h, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.546 * -3.\nAnswer: 4.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 40\/(-6)*9 + 4. Let h = -37 - v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -27. Suppose 3*q + c = -0 + 7, 5*c = -2*q + 22. Let a be (-4 + -16)\/(q + -3). Solve s = -3*w - a, -w = -3*w - 3*s - o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -150?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 7271528*h - 29086117. Calculate l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 443 (base 11) to base 7.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 10. Suppose 3*a = -2*a + s. Suppose 0 = a*j - 326 - 452. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**4 + 12*k**3 + 50*k**2 + 36*k = 0. What is k?\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 42 + -35. Suppose 2*p + a = 1, -192 = -5*y - p. Suppose f = 85 + y. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 1)*(-d + 2*d - 11*d)*(6*d**3 - 4*d**3 - 3*d**3 + (-1 - 2 + 4)*(-4*d**3 + d**3 + d**3) - d**3 + 5*d**3 - 3*d**3 + 2*d + 2*d**3 - 5*d**3 + 0*d).\nAnswer: 100*d**4 - 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 40 = -b. Suppose -3*m = -5 - 1. Let n = b - m. What is the least common multiple of 20 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47.31 - -0.31. Let v = i - -42. Let l = 1\/12 - -7\/60. Which is the nearest to -2?  (a) v  (b) l  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 2, -1, -4 in descending order.\nAnswer: 2, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 664 + -33863\/51. Suppose 77 = -191*g + 268. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5533437343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -9922, -9957, -9992, -10027, -10062?\n\"Answer: -35*s - 9887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 38*a**2 + 4*a + 39. Let n(z) = z**2 + z - 1. Let s(f) = 4*n(f) - w(f). What is the first derivative of s(h) wrt h?\nAnswer: -68*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 332.1 + -332. Let x = 7 + -6.9. Which is the nearest to u?  (a) -2  (b) 0.3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7127 - 7221.599?\nAnswer: -14348.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -315443497\/3145 - -100300. Does w = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.5  (b) -54  (c) -41\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m**2 + 15*m. Let v(y) = 3*y**2 + 0*y**2 - 2*y**2 - 5*y - 2*y. Suppose -14 = -321*j + 323*j. Calculate j*v(o) - 3*f(o).\nAnswer: 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31165?\nAnswer: 5, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.914837 to 2 dps.\nAnswer: 14.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g**2 + 6*g + 5. Let k be z(-4). Let w = -13 + 15. Determine i so that -2 + 46*i**w + 1 - k*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000158011869 to 7 decimal places.\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -17*y**3 + 5765*y**2 - 657*y - 7104. What is d(339)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1693*a + 813*a + 791*a = -5607 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25*d**2 - 38*d + 2 wrt d.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.2 - 3.8. Let k = i + 24.6. Let m = -26.8 + k. Which is the nearest to 1?  (a) -0.1  (b) 2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 676*m**3 + 52*m**2 - 480*m + 144 = 0. Calculate m.\nAnswer: -1, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 976*x**2 - 4*x + 4. Let u be m(2). Suppose 4*g = -i + 1380, -3*i - g + 229 = -u. Suppose -259 = -j + 4*d + d, 5*j = -2*d + i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -2297*l + 2300*l - 4, -z = -3*z - 2*l - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*h - 33*h - 110*z - 179*z + 11291 = 0, 3*h = z + 3*z - 144 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 5*j - 257 = 0, 4*r + j = 281 + 266. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2119316 to the power of 1\/2, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4677478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4*s + s + 1025 = 0, 0 = 3*y + s - 595. Let u = 1 + 24. What is the greatest common divisor of y and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -362 divided by -11\nAnswer: 362\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(1\/((-5)\/(-110)*-2)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1035*v + 85*v = -40*v - 3640. Factor 8\/3*b - 260*b**v + 0 - 40*b**2 + 554\/3*b**3 + 338\/3*b**5.\nAnswer: 2*b*(b - 1)**2*(13*b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 247.3, 23\/2, -40, -2\/5 in increasing order.\nAnswer: -40, -2\/5, 23\/2, 247.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4909*j + 16 = 4911*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 4*f = 8, 0 = -4*b - f + 6*f - 1. What is the fourth smallest value in -4, b, 0.08, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (145\/(-435))\/(-2 + (-10)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 140 times -0.79\nAnswer: -110.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*c**3*d**3 + 19*c**3*d**2 + 13*c**3*d + 2*c**2*d**2 - 2*c**2*d + 3*c*d**3 + 149881*d**3 + 11732*d**2 + 1 wrt d.\nAnswer: -72*c**3 + 18*c + 899286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3640 = b + m, 5*b - 378*m = -382*m + 18195. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of -2\/3*h**4 + 0*h**2 + 8*h + 19\/6*h**3 + 0. What is the second derivative of a(q) wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -3*o - 87. What is w(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 40022 + 0?\nAnswer: 40022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5045*n**2 + 1 + 4 + 5046*n**2 - 5 - 48*n.\nAnswer: n**2 - 48*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of z**3\/3 + z**2\/2 - 2*z - 1. Let x be r(2). Suppose -4*c = -5*l - 2560, -2*l + 3167 = x*c + c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -1 + 17. What is the highest common factor of h and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -4  (b) 4  (c) -0.4  (d) -15  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 2) + 5 - -5 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 4*h - 4*w, -2244*h - 5*w = -2239*h - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1637692997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -176*b - 10603. Give s(-60).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t**3 + 5 - 5 + (0 + 0 - t)*(4 - t**2 - 4) - 5*t**3 - t**3 + 4*t**3 + 3*t - 2*t**3 - 3*t)*(28 + 339 + 540) to y*t**3 + c*t + p*t**2 + j and give y.\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 119.5355 + 0.0645. Let k = j + -132. Round k to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**2*o*u**2 + 2*c**2*o*u - c**2 - 9*c*o*u + 5*o*u**2 + 6*o + 2*u**3 wrt u?\nAnswer: 2*c**2*o + 10*o + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*h - 1 - 6 = 0, 3*h = -2*p + 13. Let k = 0 + 6. Suppose 3*l = 3*i + k, 2*l - 8 = -0*l - p*i. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/4570 and 85\/12?\nAnswer: 27420","meta":{"dup_signals":{},"source":"numbers__lcm_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 l(y) = y + 11. Let v be l(-13). Let z(h) = h**2 - 2*h - 3. Let b be z(v). Let w(f) = -f. Let d be w(-2). Sort d, b, 4.\nAnswer: d, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n + 6*n - 4*n + (3*n - 3*n + 2*n)*(-1 + 0 + 3) - 3 - n + 3 + 1 - 1 - 2*n - n + 4*n - n + (5*n + 1 - 3*n + 0*n)*(3 - 4 + 4).\nAnswer: 11*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100926009?\nAnswer: 3, 223, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1848 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 525, 520, 513, 504?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 10 = -16. Let v(m) be the third derivative of 0*m**5 + m**q + 0*m + 1\/6*m**3 - 1\/60*m**6 + 0 + 1\/12*m**4 - 1\/210*m**7. Factor v(s).\nAnswer: -(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 4*g**3 - 4*g**2 + 4*g - 2. Let z be q(1). What is the third derivative of 19*w**2 - 64*w**z - 66*w**3 + 25*w**2 wrt w?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 64464059 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 51\/64 + -3\/64. Which is the closest to -2\/7?  (a) z  (b) 0  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -37, -46, 5, 146, 407, 818?\n\"Answer: 5*f**3 - 44*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2624000 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p + 16. Let h be w(-8). What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 2*x**3 - 18*x**2 - 4*x + 26. Calculate r(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 divided by -10.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2350 - 2386.58. What is d rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 101687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-39)\/15 + (-2)\/5. Let k = 1 - y. What is the third derivative of 3*f**4 - 2*f**4 - k*f**2 + 3*f**2 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1471.8774836 - 4.8170336. Let u = v - 1467. Let l = 0.059 - u. What is l rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88893 divided by 9\nAnswer: 9877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 79 and -0.01.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*d**2 - 130*d**2 + 20*d**3 - 132*d**2 - 31*d**3 + 442*d**2.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 99681495 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 4*h - 84*h**2 + 3 + 81*h**2 - 8*h + 18*h**3. Suppose 1 = 5*t - 9. Is v(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302056 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 27*b - 22. Determine f(17).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -201.0956232 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76207, -76434, -76703, -77020, -77391, -77822, -78319?\nAnswer: -78888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n. Let u(d) be the first derivative of d**6\/120 + 11*d**3\/3 - 7. Let v(f) be the third derivative of u(f). Give v(h(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*t - j, -6*j + 8 = -t - j. Solve -z + t*g = 4*z, -5*g = 25 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -1441*h**2. Let u(m) = -43*m + 14. Let v(y) = -55*y + 18. Let c(p) = 9*u(p) - 7*v(p). Determine q(c(z)).\nAnswer: -5764*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*(o**17*o*o*o*o)\/o*o*o*o**(-2\/43)\/o)**(2\/93))**(-1\/36) assuming o is positive.\nAnswer: o**(-472\/35991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ekkkekkekk. What is prob of sequence ekk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*h + 7. Let g = 9 - h. Suppose -4*a + g*z + 24 = 0, 6*a = a + 4*z + 27. Solve -8 = b - a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10704610 is divided by 162191.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**3 - 2*d**4 - 3*d**3 - d**3 + 3*d**3 + 2*d**2 + 11 in the form r*d**2 + b + g*d + h*d**4 + o*d**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 11) to base 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4*f + 14 = 0, 0 = 4*d - 8*d + 5*f - 2. Let y(l) be the second derivative of 0 + 1\/6*l**3 - 2*l**2 + 2*l. Let q(x) = 1. Calculate d*q(c) - y(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 48789.1 to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/405 + -5803\/405. Let f = -473\/12 + 195\/4. Find the common denominator of f and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 49\/4 of a kilometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(85) + sqrt(85)*1)*1)\/(3*(sqrt(5) - sqrt(5)*1) + sqrt(5)))**2 + -4 + (sqrt(119)\/(sqrt(567) + (sqrt(567) - 1*sqrt(567))))**2.\nAnswer: 5201\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21364 and 872?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -726 + -2705.3?\nAnswer: -3431.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 - -252)\/(8*(-2)\/(-112)). What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 96 - (-18 - (58 + -75 - 16)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38 - 49*y + 36*y**3 - 36 - 166*y**3 + 57*y to i*y**3 + n + c*y + g*y**2 and give i.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 164364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 4*l + 208166 = 42924, 2*l + 165224 = 5*z. List the prime factors of z.\nAnswer: 2, 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/(-6)*(-18)\/(-12). Suppose -4*j + 0 = -y + 3, q*j = -5. Sort -8, -7, 0, y.\nAnswer: -8, -7, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -275\/9 or -28.83?\nAnswer: -275\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 113.8 rounded to zero decimal places?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2 + 14*j. Let t(d) = -d**2 - d. Let k(s) = -6*t(s) - z(s). Let k(o) = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 6) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 10 = w, -6*z - 5*w = -7*z + 2. Let g = -29\/33 - -6\/11. Let f = 57 + -57.1. What is the smallest value in z, f, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -37 - (43 - 85 - -30) - 28\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 218431742 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*j**5 - 10*j**5 - 8*j**5 + (-2*j + 2*j + j)*(j**4 + 5*j**4 - 4*j**4)*(2 + 1 - 1).\nAnswer: -19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (0 - (-35 + -2)) - (-1552 - -1541)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 114 divided by 1\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + y = 9, -3*f + 5*y = -11340 + 11353 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/376 and -123*(-7)\/(-56)*1\/(-6)?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 + (-12 - 17) - -104 - (-1 - -3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 2 = -5*a - 5*f, 3*a - 1 = 4*f. Let k be a\/(-1 - -2) + -2. Let v be (-15)\/9 - (-1)\/k. Let r(q) = 3*q + 2. Give r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 2. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - k + 263 = 0, -14 - 113 = -b - 9*k. What is the remainder when 790 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) - sqrt(200)*1)*-3 + -1 + sqrt(200) + 5)**2.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of 43*i**4\/24 + i**3\/6 + 2*i**2 - 23*i. Let a(h) = 2*h**2. Give c(a(z)).\nAnswer: 86*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -31215645 (base 7) in base 9?\nAnswer: -4842580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29720 < 237763\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h**3 - 17*h**3 - 12*h**3 - 28*h**3.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1029.351131 to one decimal place.\nAnswer: -1029.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/18)\/((-3)\/(-9)). Let c be (-1 - -2) + (-9 - -2). Let v(n) = -n**2 - 8*n - 9. Let d be v(c). Solve -d*u - i = -2*m + 2, -u - 1 = 5*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5, -31, -59, -89, -121?\n\"Answer: -g**2 - 23*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -7, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 2*n = 496. Suppose w - n - 201 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -589*q - 14*q**3 + 589*q.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20399039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -828, -2030, -4032, -6834, -10436, -14838?\n\"Answer: -400*g**2 - 2*g - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*k*m**2 - 3*k*t - 4*k + 100*m**2*t + 3*t wrt k.\nAnswer: -4*m**2 - 3*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5\/2 - 427583*t**4\/2 + 45704881311*t**3\/2 + 411368731943*t**2\/2 + 525647183644*t + 342815472120 = 0. Calculate t.\nAnswer: -5, -3, -1, 213796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.13 - 0.53. What is the nearest to 0.1 in 1\/8, f, 6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, d: 2, m: 10}. Give prob of sequence mmdz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1292547380 divided by -323136845?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1113 - 70\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 612802312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**2 + 15501 - 15501. Let g(o) = o**2 + 33. What is g(t(m))?\nAnswer: 4*m**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3*z + 3. Let s(h) = -9*h + 8. Let n be (6\/4)\/(7\/(-14)). Determine n*s(x) + 8*w(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4*z - 146 = -120, 2*z = 2*u - 12. What is the remainder when 85 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3721c (base 14) to base 11\nAnswer: 92373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -12 and -115271?\nAnswer: 115259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3867 and 0.1.\nAnswer: -3866.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -6661 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000566808746 rounded to 6 dps?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-749208)\/(-265))\/76 - 35.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 62*t**3 - 5207*t**4 + 6*t**3 + 5203*t**4 + (4 - 1 - 2)*(-5*t**4 + 3*t**4 + t**4).\nAnswer: -5*t**4 + 68*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60661, -60660, -60659, -60658, -60657, -60656?\nAnswer: -60655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of q**9\/6048 + q**8\/1680 + q**7\/1680 - q**3 - 2. Let g(a) be the third derivative of w(a). Factor g(s).\nAnswer: s**3*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 14*v + 11. Let f be n(-6). Let j = 77 + f. Suppose j*w - 30 = 70. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*(-2)\/(-3)*12\/8. Suppose 4*t - 4*q + 24 = 0, -11 = 2*t - i*q + 10. Let l(j) = -3*j**2 - 2*j + 3. What is l(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ncjdnndyccnnccnr. What is prob of picking 1 r, 1 y, and 2 d?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 3. Suppose 0 = -3*i - 2*f + 4, 2*i + 4 = 2*f + 20. Let -g*j + 2*j**2 - i*j**2 - 10*j + 16*j = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 299815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/4)\/(3\/(-18)). Suppose -m*h + 120 = h. Let p be (h\/4)\/(2\/4). Solve p = 4*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173, 334, 495?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.179, 0.04, -0.3, -2, -7\/2, -0.2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12460990?\nAnswer: 2, 5, 1246099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s, 1 b, and 1 i when four letters picked without replacement from {s: 2, b: 2, i: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h + 67 - 80 + 0*h**2 + 3*h**2. Is n(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 601140 = -455*w + 577480 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.7 - 0.2. Let d = -0.4 + p. Let c be (-7)\/(-3) - (-3 - -6). What is the nearest to 1 in d, -1\/4, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11.3004 and 0.2?\nAnswer: -2.26008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(60)\/(4*sqrt(48)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -351 + 4213\/12. What is the common denominator of w and 151\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1086 + 90 - 2079 = -205*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1539)*-2*-5 + (((sqrt(57) + sqrt(912))\/sqrt(3))**2 - (sqrt(19) + 1)**2*6).\nAnswer: 78*sqrt(19) + 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3130 - 4807. Let p = o + 4399. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l - 2*a = -11216, 4*l - 2*a - 3869 = 215. Calculate the remainder when 2056 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -33711 and 5.\nAnswer: -33706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 1 = 3*t - 10, 5*t + n - 23 = 0. Suppose -2 + 6 = -3*d - 2*r, 0 = t*d + 5*r. Is (-22)\/d*4 - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01314594 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-2))\/(28\/728*247).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4036 = 5*h - 4*h - 3*z, 2*h + 4*z = 8012. Is h a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34200 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2480 and 4011920?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 186784 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y - 2*i + 43 = -y, 48 = 5*y - 3*i. What is the least common multiple of y and (-4)\/18 + (-4876)\/(-477)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 93304 and 1199?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(5) + 1)*5.\nAnswer: -15*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 6. Suppose -2*b - 2*d = -8, -j*d = -3*b + 6*b - 13. Solve 4*h - 2*i - 2*i = -16, -20 = 3*h + b*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by 27.\nAnswer: 22\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s, -4*s + 221 + 607 = 3*x. Is x a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 4125*f + 24744. What is i(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/5  (b) -2  (c) 7\/5  (d) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 4*n + 9. Suppose 24*u = 21*u + 426. Suppose -n*z + u = -z. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.05532 and -4.7208.\nAnswer: -4.77612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4  (b) -2\/7  (c) -0.2  (d) 0.5  (e) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1858 - 75 = 578*o + 379 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 10*h - 8. Let s be m(9). Let l be s*2 - 1\/1. Solve -l - 3 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-4))\/((-78)\/(-20) - 4). Solve h = 7*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1))**(-2\/19)*t**0*t\/(t\/(t*t**(-2\/11))*t) assuming t is positive.\nAnswer: t**(-16\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 c, and 1 s when three letters picked without replacement from {h: 9, c: 1, p: 2, q: 4, s: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2017\/3 + 672. Which is bigger: 17\/8 or p?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 10325002*v**2 - 6*v + 4. Let h be (-3)\/2 + 98\/28. Let b be y(h). What is b rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of 230*g**3\/3 + 4816. Let w(n) = -3*n. Give w(u(a)).\nAnswer: -690*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 860327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2838*a**2 + 1565*a**2 - 2 + 2508*a**2 to k*a**2 + r + p*a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67637.\nAnswer: 239, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.00187, 2\/11, 4\/851?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 3*o + 4 = 0, 14 = -3*s + 5*o - 9*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 6*h**2 - 6*h + 6. Let l be d(-6). Let w be (-297)\/(-22)*4*15\/(-10). Let o = l + w. What is the second biggest value in 0, o, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.8 - 0.800179. What is g rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -13030, -52638, -118652, -211072, -329898?\n\"Answer: -13203*q**2 + q + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 85886167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6719.422 decades in years?\nAnswer: 67194.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3216?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 + m**2 - 2*m**2)*(-38*m**3 - 3*m - 15*m + 362*m**3 + 24*m) + 0*m**5 - 2*m**5 + m**5.\nAnswer: -973*m**5 - 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 178789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -8 - -1) + (1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 9632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4112190.\nAnswer: 2, 3, 5, 45691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 310*t**3 - 32*t**2 + 62*t + 1. What are the prime factors of c(2)?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 8*a - 3. Let o be 105\/45 - (-2)\/3. Let h be m(o). Find the first derivative of -h*l + 14 + 61*l - 27*l wrt l.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25974661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 717.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p + 58. Let k(l) = l + 39. Let q(r) = -7*k(r) + 5*o(r). Let f be q(-5). Factor -20 + 6 + 9 + 5*h**f.\nAnswer: 5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaymmymeyylehmhhamma. What is prob of picking 1 l and 2 m?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 113.8 - 114. Put -12, 2\/17, w, 1 in decreasing order.\nAnswer: 1, 2\/17, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 1:35 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*(sqrt(1539) + 2*(sqrt(1539)*3 + sqrt(1539))))**2 + sqrt(1539) + -3 + (sqrt(1539)*-5)**2 + -1 + sqrt(1539) + sqrt(1539)*4.\nAnswer: 54*sqrt(19) + 17989367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/15?  (a) -5  (b) -2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7011, 47, -2, -3, -4 in descending order.\nAnswer: 47, -2, -3, -4, -7011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3*44\/5016*-9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166*q = 163*q + 65430. Suppose 5*l = q + 4975. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*w = -43*w + 5*a + 1, -w - 5*a = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 10*a. Let j be 0 + (-12)\/27 + 368\/18. Let z(r) = 47 - 20 - 3*r - 27 - j*r. Determine w(z(f)).\nAnswer: -230*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + w + 5 = 0, -10 = -y - 566*w + 568*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 13 + 3 = 0. Suppose -b = -f - f. Suppose 5*h - 44 = -4. Calculate the greatest common factor of f and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -83*h + 236 + 179 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -79298515 + 2.1?\nAnswer: -79298512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.076 + 243.\nAnswer: 243.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*f**4 - 837*f**3 + 82*f**2*j**2 + 3078773*f*j**2 + j**2 wrt f.\nAnswer: -48*f**2 - 5022*f + 164*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 + 2*m + 3. Give f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**2 - 5*z + 3. Let n(h) = -3*h**2 - 4*h + 3. What is 7*n(q) - 6*o(q)?\nAnswer: 3*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 3186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40 - -40.058. Let b = r + -0.058. What is the nearest to 0 in 0.3, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4726.733 millennia in years?\nAnswer: 4726733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 108667 or 1?\nAnswer: 108667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z = 1 - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -975462, -975880, -976296, -976710, -977122, -977532?\nAnswer: -977940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -10 times -62.713\nAnswer: 627.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from azhyoagayooh. Give prob of picking 1 y and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 7 = -3*k + 12, 0 = k - 3*q + 3. What is the third derivative of -z**2 - 5*z**2 - 6*z**2 + 2*z**k - 10*z**3 wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + k**2 + 10*k - 26. Let n = -3 - -7. What is the least common multiple of o(3) and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 74804069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-18)\/4*(10\/(-6) - -1). Suppose 0 = a*w + 3*t - 0*t - 27, 2*t + 2 = 0. Suppose q + 1 = 2. What is the least common multiple of w and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1060 = 5*p + 1025 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1386*n**2 + 2435*n**2 + 1029*n**2 + n.\nAnswer: 4850*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*i + 99*i + 319 = 1831 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 + -48. Let a(m) = -m**2 + 4*m - 5. Let l be a(5). Let p = l - x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 6534*w + 241709. Calculate b(-37).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(720))*-4 - (sqrt(720) + 0 + 4) - -1*2*(sqrt(720) + 0))**2.\nAnswer: 576*sqrt(5) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(12\/15)*(-26)\/(-52)*26\/(-13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*n - 3*u - u, -12 = -4*n + 4*u. Sort 2, n, -165 in descending order.\nAnswer: n, 2, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 + (-20358274)\/3)*9\/3. Let b = -11758274 - n. What is b rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -481.66 - -481. Let g = q - -32.86. What is g rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*m**5 - 1347*m**4 + 86*m**3 - 6*m**2 + 246*m + 178?\nAnswer: -120*m**2 - 32328*m + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7456464 and 8480.\nAnswer: 74564640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.95507 - 6.95. Round k to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 3\/8  (b) 0.3  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 4*d + 4986 = -957, 0 = j + d - 5918. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 2*o**2 + 1. Suppose -2 = g - 2*s, 6*g - 2*g = 3*s + 2. What is h(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3904327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -h**5\/2 + h**4\/6 + h**3\/6 + 2*h. List the prime factors of q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32 + 36. Suppose -j + 90 = h*j. Suppose 2*p - j = -3*p - 2*a, 2*p + 3*a = 16. Solve -x + 14 = 3*b, p*x + 12 = 5*x + 3*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w + 40. Let t be c(19). Suppose -4 = s + 2*k - 3*k, 3*s - k = -4. Let b be (-22 + s)*3\/(-6). Solve -j - t*l - b = 0, l - 3*l - 5 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19*b**5*c - 4*b**2*c - 51*b*c + 5*b wrt b.\nAnswer: -380*b**3*c - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2806.929l in millilitres?\nAnswer: 2806929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -5*x**3 + 170*x**2 + 6*x - 6. Let i(h) = 6*h**3 - 169*h**2 - 7*h + 7. Give -6*i(o) - 7*p(o).\nAnswer: -o**3 - 176*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*r + 48*r + 2*v - 52 = -18, 0*r - 4*v = -r + 20 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -0.3, -15344?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 35 - 50*z + 30 + 339*z.\nAnswer: 289*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15726, 15728, 15728, 15726, 15722, 15716?\nAnswer: 15708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 1:50 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 9*q**4 - 3*q**3 - 3*q - 12. Let d(v) = 17*v**4 - 5*v**3 - 5*v - 23. Let p(x) = 3*d(x) - 5*h(x). What is the first derivative of p(o) wrt o?\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368863771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*1\/(-24)*(-340)\/102?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of 0*f + 2*f**3 - 66 + 5\/2*f**4 - 4*f**2 - 6\/5*f**5 - 1\/3*f**6. Solve a(p) = 0 for p.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -168865 + 106115. Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -15*w**2 + 8*w - 6. Let b be ((-216)\/32 - -8) + (-2)\/8. Let i be l(b). Suppose -s = -2*s. Sort s, i, -4.\nAnswer: i, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.82 + 664766.56539.\nAnswer: 664767.38539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -2 + ((-224)\/(-12))\/(-4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*v = 9*v - 48 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 16003?\nAnswer: 16002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007387705 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 3*y + 2*y, 0 = -4*p - y + 80. What is the remainder when 41 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -53*i + 21*i + 32. Put 22, 2, 4, i in decreasing order.\nAnswer: 22, 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 35*c**2 - 274*c - 21. Let n be l(8). Solve 5*g - 25*i + 5 = -n*i, -3*g = -5*i - 28 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33892 + -34599. Put -5, h, 3, -0.3, -0.5 in decreasing order.\nAnswer: 3, -0.3, -0.5, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 391 + -747\/2. Calculate the common denominator of x and 46\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5262 minus -11299055373?\nAnswer: 11299050111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -3 - ((6 - 3) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2902995266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/91 and -101\/12.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*b - 0*b. Let a be ((-4)\/6)\/((-4)\/b). Let f(x) = 3*x - a + 2 - 3*x**2 + 4*x**2. Give f(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44875\/6666 + 810\/101. Find the common denominator of -113\/96 and m.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, m: 5, g: 7}. What is prob of picking 3 m and 1 g?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - 2*x**2 + x. What is b(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 680084 and 1.86.\nAnswer: 680085.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -100 + -201111?\nAnswer: -201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -121, -251, -413, -595, -785, -971?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + 1. Let y be -5 + s + -1 + 0. Solve -4*d - d - 25 = y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 86026.6 and 0.3.\nAnswer: 86026.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 441 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13503367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2*p**4 - 16030*p**3 - 761286*p**2 + 27874846*p + 28620100 = 0.\nAnswer: -71, -1, 25, 8062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1533 + 7*c**2 - 106 - 4*c**2 - 1312 - 115.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -284?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 36337273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 1540*c**2 - 9*c - 15. Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20305223 bigger than -20305223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1329*j**2 - 2983 wrt j.\nAnswer: -2658*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -170431.\nAnswer: -170431, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 97170000 to the nearest one million.\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + -3a2ba48?\nAnswer: -3a2ba4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -19 - (0 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -207474 less than or equal to -207473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + i - 13033 = 0, -268*f + 264*f + i = -52122. List the prime factors of f.\nAnswer: 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 93 - 25. Let n = v - 44.4. Let g = -23.59871 + n. Round g to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 2:09 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v - 2*v + 0*v + (-53 - 37 + 25)*(2*v - v + 3*v) - 2 + 2 - v.\nAnswer: -263*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -525*w**2 - 10. Let x(m) = 175*m**2 + 3. Determine 3*a(p) + 10*x(p).\nAnswer: 175*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8940082060009*c**2\/3 - 813279184*c\/3 - 18496\/3 = 0 for c.\nAnswer: -136\/2989997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -125073, -250143, -375211, -500277?\n\"Answer: z**2 - 125073*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 73 - 5*k - 135 + 62. Let s(q) be the second derivative of q**4\/6 - 2*q. Determine l(s(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 - 13 = 2*k. Let p(v) = -5*v**3 + 8*v**3 - 2*v**3 + 2*v + v**2 - 11*v**2 - 6. Is p(k) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17678 - -17680.0027. Let w = 19 - 21. Let n = w + o. What is n rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(-15) + 4\/(-6). Let o be -3*(87\/9 + x). Let l = o - -55. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 721 - 722. Let x(c) = 2 - 4 + 3. Let g(m) = 2*m**2 - 8. Let q(a) = w*g(a) - 8*x(a). Let t(p) = -6*p**2. Calculate t(q(v)).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7384)\/1196 + 6\/1. Let d = m + 74\/161. Which is the third biggest value?  (a) 5  (b) -9  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 329915 to the power of 1\/2, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/1320 and 95\/2552.\nAnswer: 38280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*z + 33*z + 333 = m, -3*z = m - 327. Which is greater: 12 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1755 - 1751. Solve 28 = n*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Product of 0.034 and -0.5.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -323764*q**2 - 530588*q**2 + 290567*q**2.\nAnswer: -563785*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6*l**2 - l + 2. Calculate m(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -1532*f**4 - 165*f**2 + 15*f - 8. Let q(y) = -2298*y**4 - 247*y**2 + 24*y - 11. Let n(l) = 8*k(l) - 5*q(l). Find the third derivative of n(v) wrt v.\nAnswer: -18384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000030306655 to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -71 - -71. Is o greater than 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 930, -5 in ascending order.\nAnswer: -5, 2, 930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 5*j = -9, -5*s - 5*j + 4 = 19. Let q = -23\/15 - -6\/5. Which is the third smallest value?  (a) 4  (b) 0  (c) q  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 58 and 181163.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228 is divided by 49.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {p: 3, u: 2, v: 8, z: 3, c: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-95)\/((-2)\/2)*(38 + (-13 - -1678)\/(-45))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 20711, 41421, 62131, 82841?\n\"Answer: 20710*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 23 - (29 + -57 - -28)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/30 and -53\/21832830.\nAnswer: 21832830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - 0. Let s = 248350\/3 + -5740058\/69. Let h = -406 - s. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1458047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/3 + 149*t**3\/3 + 461*t**2 - 1169*t\/3 - 27244\/3.\nAnswer: (t - 4)*(t + 7)**2*(t + 139)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 9*s + 8. What is c(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107 divided by -7445395.\nAnswer: 107\/7445395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and -0.38100994.\nAnswer: -2.38100994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 10:37 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14176015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l + 1074 + 264. Let g = l - 152. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 39, 57, 71, 81, 87?\n\"Answer: -2*s**2 + 24*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 6*d - 48 + 21. Solve -14 = -5*j + 4*q + 26, -4*j - 3*q = -d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 79713*236\nAnswer: 18812268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 1738*j - 39977. Give k(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-99)\/(-9) - 536\/48?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/247*((-6)\/45 - 22*4\/(-360)).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1723317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1177.5277041 + -7\nAnswer: 1170.5277041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17360 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3 + 4185*j**2 + 1545889*j + 10615815.\nAnswer: -(j - 4527)*(j + 7)*(j + 335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1839 by 1.\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 4 + -1 + -6 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -58.7613 * 1.9\nAnswer: -111.64647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1100970881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 621902 is divided by 2577.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2722471*b**2*q**4 - 725*b**2*q**2 + 2*b*q**2 - 3584*b*q - 7*q**5 wrt q.\nAnswer: -65339304*b**2*q - 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15751.\nAnswer: 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -13538500 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1452\/8)\/((-1012)\/(-368)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2  (b) 5  (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 440, 873, 1298, 1715, 2124, 2525?\nAnswer: 2918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, m: 2, i: 2}. What is prob of picking 1 u and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -6688 < 6\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 5. Let c(d) = -3. Let q(x) = -5*c(x) + 2*h(x). Differentiate q(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 155 - 123743?\nAnswer: -123566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.08896 and -6.\nAnswer: -5.91104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 962661.6 * 0.05\nAnswer: 48133.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*u - 91*u = -54*u + 70 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of 1\/24*t**4 + 0*t - 1\/3*t**3 - 2*t**2 + 0. Determine s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 206379 - 112682887\/546. Calculate the common denominator of v and 10\/27.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19755226 is divided by 372740.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 9558.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 197258.8 weeks in days?\nAnswer: 1380811.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23165 + -23178.72. Which is the fourth smallest value?  (a) 1  (b) -2  (c) f  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b. Let a be u(-2). Let n = -599 - -601. Solve n = -v - a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 3\/2  (c) 2\/49  (d) 231067  (e) -3  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*l + 31 = 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 PM and 7:59 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*o**4 - 2*o**4 - 6*o**4 - 62 + 7*o**2 + o**2 with respect to o.\nAnswer: 28*o**3 + 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111010110111110000000001011 + -10?\nAnswer: 111010110111110000000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 + 7*k - 5. Let q be f(7). Sort -2\/7, 2\/21, q, 1 in descending order.\nAnswer: 1, 2\/21, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/252 and -137\/1163050.\nAnswer: 20934900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -c - 2*c + 6*c + 9*c**2 - 3*c**2 in the form w + g*c**2 + r*c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 3*i**2 - 3*i + 12. Let f = 131 - 63. Suppose 0 = 13*t - f - 36. What is the tens digit of c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-1\/2)*p))**(1\/48) assuming p is positive.\nAnswer: p**(-1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24254 = 3*y + 5*z, 7*y = 6*y - z + 8090. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26127 is divided by 5090?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*z**4 + 2*z**4 + 2*z**4 + (-2*z**3 + 0*z**2 + 0*z**2)*(-27*z + 59*z + 106*z) to m*z**3 + a*z + l*z**2 + n + y*z**4 and give y.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*t - 1807 + 1969 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1387.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 87603911 and 705.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7086*a**3*n + 10426*a**3 + a*n wrt n.\nAnswer: -7086*a**3 + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -67.367459 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*v - 126*v - 244*v to y + k*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 206, 832, 1872, 3326, 5194, 7476?\n\"Answer: 207*k**2 + 5*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 101 - -1034665?\nAnswer: 1035066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4, y + 0*y - 86 = 2*o. Let s = 9273 + -9226. Calculate the highest common divisor of s and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 5, 0.1, -4, -3 in ascending order.\nAnswer: -4, -3, 0.1, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 7*u**2 + 8*u + 14. Let c be m(-6). Suppose 14 = c*r + 4. Calculate the highest common divisor of 40 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 7:03 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/12*-12*-4*110\/(-264).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4a5 (base 13) to base 16\nAnswer: 32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(3 + -1) + (84 - 76).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) -1\/4  (c) 2\/7  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 30, 69350?\nAnswer: 69350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 divided by -5.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z + 4. Let c be f(4). Let k be (c\/(-8))\/(1\/2772). Let b = k + -6958\/5. Find the common denominator of b and 121\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**4 + 9*i**3 - 15*i**2 - 5*i + 6. Let u(p) = 2*p**4 + 8*p**3 - 15*p**2 - 5*p + 7. Let h(z) = 3*l(z) - 4*u(z). Let h(r) = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85 divided by -156.\nAnswer: -85\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (264\/77)\/8 + -1 + 4 + (-1341)\/(-252).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9.819 + 9.519. Let b = -23.1 + 0.1. Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - 1021122222?\nAnswer: -1021122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1854 divided by -6.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -6 - (-1 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of 2*o**3 - 1\/8*o**2 - o + o**5 - 34 + 19\/8*o**4 + 1\/8*o**6. Factor b(c).\nAnswer: (c + 1)**3*(c + 4)*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -83144.7 + -37.5551317.\nAnswer: -83182.2551317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/8 + 53055\/17820. Put -8, -1\/11, y in increasing order.\nAnswer: -8, -1\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 14*h = 10*h + 82, 3*y - h - 194 = 0. Suppose 2*q + s - 2*s + 44 = 0, -2*s = -3*q - y. Is q greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 + 53880*v**3 - 26934*v**3 - 26937*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/21)\/(2\/6). Let m = 0.0429 + 0.0571. Which is the nearest to m?  (a) f  (b) -0.4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of i**7\/210 + 3*i**5\/4 + 127*i**3\/2 - 2*i**2 - 254. What is the first derivative of d(l) wrt l?\nAnswer: 4*l**3 + 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 4*m - 8, 103*m = 104*m + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 158*k - 5. Let g be m(-4). Let h = -424 - g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156723829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19246*w**2 - 19235*w**2 + 32 - 32.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -189345436 divided by -4?\nAnswer: 47336359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -8*s**2 + 849*s - 17155. Determine h(79).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2049 - -1221. Let v = 1418 + p. What is v rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50346 + -0.06312\nAnswer: -50346.06312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 5*y**2 + 8*y + 3. Let z(p) = -p**2 - p - 1. What is k(n) + 3*z(n)?\nAnswer: 2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*m - 2*m**2 + 4*m + (-2*m**2 + 4*m**2 + 0*m**2)*(-4 - 3 + 6) + 0*m**2 - 3*m**2 + 0*m**2 + 296*m**2 - 59*m**2 + 3 - 1.\nAnswer: 230*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 135884460 divided by -33971115\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 4*v + 52. Let d be h(-12). Let l(w) = 73*w + 17. List the prime factors of l(d).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j\/(j**(-40)\/j)*j\/(j\/j**22) assuming j is positive.\nAnswer: j**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 0.146, 71, 0.2, -1248 in increasing order.\nAnswer: -1248, -1\/5, 0.146, 0.2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16312434 + 36?\nAnswer: 16312503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 7311600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -125*s**3 + 50*s**2 - 5*s = 0. Calculate s.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 101\/220 - -17\/220. Find the common denominator of 10\/(-40)*(13 + -3) - (-159)\/(-24) and m.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 1. Let r = y - -6. Solve 2 = j - r*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7943, -15885, -23827, -31769, -39711?\n\"Answer: -7942*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 39346508*h - 77191769 wrt h?\nAnswer: 39346508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ucvccwwczuuuzkuczzz. Give prob of sequence kzv.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4\/6*1863\/(-138)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a + 2*a - 5*a)*(0 + 3 - 2)*(-2*a**3 - a**3 + 2*a**3) to the form i*a**4 + b*a**2 + j*a + u + y*a**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*t + 104*t = 48*t + 5928. Calculate the highest common divisor of t and 1080.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-2\/27)*t*t)*t**(-2\/17))\/(t\/t**(2\/3))**(-33))\/((t\/(t\/(t**(3\/8)*t)))\/t*t**(-7)*t**(-7)\/(t\/t**(-4))) assuming t is positive.\nAnswer: t**(101279\/3672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29798*a**2*t**2 - a**2*t + 370*a**2 - 3*t**2*u + 5*t*u + 142*t wrt t.\nAnswer: 59596*a**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 9) + 18869 + -18805\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 588 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b - 6. Suppose 0 = 2*j - 4*t - 20, 0 = 3*j + 2*j - 3*t - 29. Let n be i(j). Let d = 748.5 - 749.5. What is the second smallest value in 2\/3, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 5d9?\nAnswer: -5dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 10:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 2*i**2 + 12. Let g be w(3). Suppose -o - 1 = 0, g*k - 11*o + 14*o = 12. What is the remainder when 43 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1629186*b - 1589752 wrt b?\nAnswer: 1629186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7011*g**3 - 22*g**2 + 40*g**2 - 18*g**2 + 2*g**3 + g**3 - 5*g**3 + g**3 + 2*g**3 - g**3 + (2*g + 1 - 1)*(g**2 + g**2 - 4*g**2).\nAnswer: 7007*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 125179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26447 is divided by 8797?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*z - 123*z + 14 = 4*w, 3*w = 23*z + 49 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 46176006 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29282.1ml to litres.\nAnswer: 29.2821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39478 + 20244 + 19234 - 17*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ydtydfydpddtuyu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 2 = 2*v + 26, 2*r = 4*v. Put 8, 1, r in ascending order.\nAnswer: r, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 378941.1 nanograms in grams?\nAnswer: 0.0003789411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 14*j - 4218. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 58564707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 216\/(-5) + 1 - (-4)\/20. Suppose -4*u + 22 - 190 = 0. Let h = u - o. Do h and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 13*d**2 + 7*d. Let k = -14 + 7. Let u(b) = b**2 + b - 1. Let c(j) = -2*j**2 - 3*j + 4. Let q(z) = 3*c(z) + 12*u(z). Determine k*q(v) + 3*a(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3922*h. Let g(p) = 53*p. Let w(f) = -371*g(f) - 5*r(f). Let t = -6 - -4. What is the hundreds digit of w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 AM and 11:02 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 274465223 or 274465219?\nAnswer: 274465219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4\/3 - 4*w**3 + 35*w**2\/3 - 8*w.\nAnswer: w*(w - 8)*(w - 3)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(16\/(-5)))\/(16 + 390\/(-24)). Solve 0 = -y*q - 3*o - 4 - 0, q + 3*o = -8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h - 262. Let r(j) = -3*j - 129. What is 2*q(p) - 5*r(p)?\nAnswer: 9*p + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -7\/2*k**2 - 1\/2*k**3 + 135\/2 + 33\/2*k = 0.\nAnswer: -9, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1197\/44, -2, -25?\nAnswer: 1197\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 98473.645 rounded to the nearest one thousand?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -622912*c**2. Let t(z) = -41*z**2. Calculate r(t(m)).\nAnswer: -1047115072*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m - 353 = -383 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 1, -5\/4, 8, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 6*a = -4, 2*a = 30 + 38 - 72 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -2, -51 in increasing order.\nAnswer: -51, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5.2 and -0.2.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-41880)\/(-18)*15\/(-10). Let j = 5199 + l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -418883 = -5*t - 128733. Suppose -93*d + t = -79*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, d: 2, z: 1, f: 2, i: 2, m: 1}. What is prob of picking 1 d and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 482*f**4*n**2 + f**3*n**3 - 3*f*n**3 - 13*f + 20*n**3 wrt f.\nAnswer: 5784*f**2*n**2 + 6*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v + 16. Let t be g(0). Let c = -14 + t. Let y(f) = -f - 7*f - 4 + 0 + f**c - 6. Give y(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1447 divided by 10\nAnswer: -1447\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 2*n + 13. Calculate the remainder when n is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3\/4*u + 0 - 5\/8*u**2 + 1\/8*u**3 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.006 + -3.006. Put d, -1\/5, 0.4 in ascending order.\nAnswer: d, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 15*p - 4. Let t(b) = 884*b - 238. Let r(y) = 4*t(y) - 238*v(y). Let u(s) = -4*s**2. Calculate u(r(x)).\nAnswer: -4624*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7113720 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3, 4*x + 3 + 0 = 5*t. Suppose 330 = 5*q - 4*b, t*q - 4*q + 4*b = -50. Suppose z = -4*z + q. Calculate the lowest common multiple of z and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 2*y + 3. Let k be f(3). Suppose m = -5*r + 2, 3*r + 3*m + 7 - 1 = k. Let p be ((-15)\/(-2))\/(r\/2). Solve 0 = -h - 4*h - p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from llllllmlmllllllmlllm.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 5*f + 25, f + 253 - 248 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8*(-5)\/380 + 17742\/38. Suppose -u + p = -246, -16*p = -2*u - 19*p + m. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*((-6)\/2 - -4). List the prime factors of (-1)\/(u\/(41 - -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 767.5077mm?\nAnswer: 767507700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 5 - 3 + 2 - 4*i. Let w(l) = 4*l - 5. Let a(q) = -6*s(q) - 5*w(q). Find the first derivative of a(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 3:24 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*(u\/(u**(-2)*u))\/u)\/(u*u**(-5))*(u\/u**6*u)\/(u*u*u\/u**(-2)*u) assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7910 != 7910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3978 = 3*u + 3*f, -u = 1367*f - 1363*f + 1302. Which is smaller: u or -1332?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40*g**4 - 3506*g**3 - 369*g**2 + g + 79235342.\nAnswer: 480*g**2 - 21036*g - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a + 27. Let j = 7 + -26. Let w be z(j). Suppose -1 = 4*l + 5*v, -w*l + 3*v + 8 = -3*l. Solve -n = -4*r + 5, -n - l + 0 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*v + 1210 = -17*v + 33*v + 190 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/13, -1, 50\/3, -89\/2 in descending order.\nAnswer: 50\/3, -1\/13, -1, -89\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 5*q = -3 + 38 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8249782, 8249772, 8249762, 8249752?\nAnswer: 8249742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (15 - 16 - 27)*(-3 + 3 + 2)*(-12*y - 15*y + 18*y) in the form k*y + v and give k.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(88)*5 + sqrt(88) - sqrt(88))\/(sqrt(72) - (1*sqrt(72) - sqrt(72)) - sqrt(72) - sqrt(72) - sqrt(72) - sqrt(72)).\nAnswer: 10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -50 - (-6)\/6*(-1 + 3). Let f = 96 + x. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -600*f**2 - 3600*f - 2. What is t(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11786 and 21082?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddax when four letters picked without replacement from {x: 1, d: 8, a: 10}?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.3 - 1. Let s = h - 1.3. Let z be (6*1\/7)\/(6\/28). What is the biggest value in 0.4, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101587 + 77285*j**2 - 50794 - 77289*j**2 - 50793.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 - 19. Let f(h) = 9*h**2 - n*h**2 - 2*h**2. Let p(j) = 19*j. Determine f(p(u)).\nAnswer: 722*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6258 (base 9) in base 4?\nAnswer: 1013231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.7359248 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**3\/8 - 315*v**2\/2 - 390525*v\/8 + 2016125\/4 = 0.\nAnswer: -635, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -9  (b) 35  (c) -2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2 - 19341033*a + 174069054.\nAnswer: 3*(a - 6447002)*(a - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4*s = -33, -40*y + 39*y - s = -42. What is the remainder when 27087 is divided by y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 7 = -259*v + 262*v, 4*s = -2*v - 6. Solve v = -3*x - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51 - 56 + 112)*(3*x - 4*x + 2*x**4 + 0*x**4 - 2*x**5).\nAnswer: -214*x**5 + 214*x**4 - 107*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/9)\/t*t**(3\/7))**(-8\/11))**(-6) assuming t is positive.\nAnswer: t**(-800\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49 and 1272187.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 130 and 556.\nAnswer: 72280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -30*l - 2873. What is w(-96)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-10)*s*s*s*s\/(s*s**(-11))*s)\/(s\/(s*s**(-1\/4)*s)*s*s\/((s\/(((s\/(s*s**(-1\/5)))\/s)\/s*s)*s*s)\/s)) assuming s is positive.\nAnswer: s**(551\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 546\/(-48) - -10 - -1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -5*f + 3. Put 9, -4, f in descending order.\nAnswer: 9, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 536 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14657286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -4*i**5\/7 + 94*i**4\/7 + 22*i**3 - 100*i**2\/7 = 0.\nAnswer: -2, 0, 1\/2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1554844.2896 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -196 - 466*m + 860 - 193 - 199 - 272.\nAnswer: -466*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 2*z - 76, 4*i = 5*z + 25 + 29. Let q(x) = 2*x. Let k be q(4). What is the highest common divisor of k and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*u + 6*u + 2*u**5 + (u + 5*u - 4*u)*(3*u**4 - 2*u**2 + 2*u**2) - u**4 + u**4 + u**5 + (-17*u**2 + 172*u - 172*u)*(105 - 2*u**3 - 105).\nAnswer: 43*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/50 - 4\/(-5). Let k(n) = 2*n**2 - u + 3*n - 3*n**2 + 3*n. Determine k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = 26 + 16. Suppose j*d - 10*d = -39. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 938*c**3 - 14*c**2 - 16*c - 3126188 wrt c?\nAnswer: 2814*c**2 - 28*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of a + 1 + 0*a**2 + 1\/3*a**3. Let p(j) be the first derivative of n(j). Let r(q) = -q**2. What is r(p(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(99) - sqrt(99)*-2*5 - 4*1*sqrt(99))*4)\/((sqrt(6534)*2 - sqrt(54))\/(-2*sqrt(18)\/sqrt(3))))**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 4 = b, 3*b - x - 2*x = -9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 56\/9, -328, -8, 1\/214?\nAnswer: 1\/214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + 4*k**2 - k**2)*(-10 + 30*k**2 + 77*k**2 + 113270*k - 113267*k).\nAnswer: 214*k**4 + 6*k**3 - 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 3*j - 3, 6 = -4*j - 0*o + 2*o. Calculate the remainder when j\/(18\/51)*-2 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - 1. Let j = -5 - a. Sort j, -2, -4.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*g - 3 + 4 - g)*(-73*g + 5785 - 5785) as m*g**2 + w*g + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*x**4 - 4*x**4 + 2*x + x)*(6*x + x - 4*x).\nAnswer: 6*x**5 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 11*p + 32 = r, 304*p + 3*r - 27 = 305*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 99579581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2678*144.\nAnswer: 385632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 439016 is divided by 5105?\nAnswer: 5091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 389.6 in -0.1, -4, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 9:37 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.659273 to 0 dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -28, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 + 43 = -27*f. Which is the closest to 1.4?  (a) -1  (b) -0.4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*c + 31*c**3 + 75*c**3 + 253*c + c**3 + 28*c**3 - 3*c**3.\nAnswer: 132*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-160)\/7040*220*11\/55*2\/(-230)\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((55\/(-10))\/11)\/(1\/(-2)). Let v be ((6 + -2)\/x)\/2. What is the third derivative of -6*y**4 + y**2 + 2*y**2 - y**2 - 5*y**v wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -59 + 62. Let a(x) = -2*x. Let l be a(-1). Put l, -5, f in increasing order.\nAnswer: -5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 788, 1523, 2460, 3701, 5348, 7503, 10268?\n\"Answer: 17*o**3 - o**2 + 619*o + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/2))**(4\/5)*(k\/(k**(2\/9)\/k))\/(k\/(k**(-4)*k)) assuming k is positive.\nAnswer: k**(-82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 468006 or -9\/11?\nAnswer: 468006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 437 minutes after 8:43 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 + -19. Let y(d) = -d - 3. Let b be y(p). Let m(s) = s**2 + b*s**2 - 4*s**2 + 5*s**2. Let k(j) = -4*j. Determine m(k(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 2*k + 40 = 0. Let d = -0.3 + 0.6. What is the second smallest value in -3, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -21*v**3 - 5*v**2 + 2*v - 2. Let l(f) = f**3 + 2*f - 1. Let g(q) = l(q) - u(q). What is the third derivative of g(b) wrt b?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 1, 3, 5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 1. Let t = 7 + a. Let y be ((-24)\/10)\/(((-238)\/(-85))\/(-7)). Calculate the highest common divisor of t and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**(-5\/4))*u**(-2\/13)\/u)\/((u\/u**(-3\/5))\/u**7) assuming u is positive.\nAnswer: u**(779\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.3 + -2. Let j be ((-260)\/25)\/(-4) - 3\/5. Suppose -1 = -a, 6*b - b - j*a = -2. What is the closest to b in -4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-248)\/12)\/((74\/(-370))\/(6\/20))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 10 + 191 = 3*p, -3*k - 321 = -5*p. Suppose 0 = 2*t + 3*t - 165. What is the lowest common multiple of p and t?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -126537*b*c - 19*c + 1674 wrt b?\nAnswer: -126537*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 95\/6 - (1 + (-7)\/6). Suppose -3*q = 3*p, -2*p - y = -4*q + 2*p. Sort -5, 0, q, 5 in ascending order.\nAnswer: -5, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*j - 4*j. Let t = 0 + 5. Solve 3*n + t = j*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 + 4*j - 25. What is i(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 + -173\/7. Put -3\/8, 1\/12, -2, v in ascending order.\nAnswer: -2, -3\/8, 1\/12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 470550 and 1950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16324 and 22?\nAnswer: 16324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 381, 3197, 10839, 25719, 50249, 86841?\nAnswer: 137907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 147 - 168. Let o(g) = -g**3 - 7*g**2 + 2*g - 8. Let d be o(-9). Let m be 14\/v - d\/(-6). Calculate the greatest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -7*u**2 + 10. Let i(c) be the second derivative of 2*c**3\/3 + 15*c + 58. Give i(h(k)).\nAnswer: -28*k**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/3  (b) -5.55999  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -38754 divided by 38754\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3397732 and 65341?\nAnswer: 3397732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + 5. Suppose 0 = -5*p - 5 - 20. Let g(j) = j + 6. Give p*g(i) + 6*y(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 64 + -33. Let p = 22 - v. Let y = 5 + p. What is the closest to -1\/4 in y, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -474*x + 812*x + 55860 = 218*x - 2673*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 0.5, -60, -7, 1\/1503?\nAnswer: 1\/1503","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h + 5. Let j(a) = 4*a + 5. Give 4*j(r) - 3*o(r).\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 10.6  (b) 1\/9  (c) -1  (d) -2047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 6:57 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 7867 and -13.46.\nAnswer: 7853.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*w = 232 - 148 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 0 - 3) + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -122, -1, 43335, 5 in descending order.\nAnswer: 43335, 5, -1, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-28)\/(-20) + 6\/10. Suppose k*t + t = 51. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1265 + 42 = -446*n + 1007 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 14*y**2 - 3*y - y**3 - 5*y + 15 - 6*y. Let q be r(13). Suppose q*p - 7 = -1, 3*s - 57 = p. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/3 - (-8)\/(-3). Let v be m - (-1)\/((-3)\/(-12)). Let j be 22400001\/4 - v\/8. What is j rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*v - 2*o, -4*v - 20 = -6*v + 4*o. Solve -4*i - 4*h = -12, i - v = -3*h - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j + 178 = 13*j + 1474 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-3))\/((-42)\/63))\/((-115)\/(-10)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/70792660 and 77\/2?\nAnswer: 70792660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**5*t + 131*b**2*t + 2*b + 2*t + 1 wrt b.\nAnswer: -20*b**3*t + 262*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -348 + 10*n**3 + 348 - 4*n**3 + 0*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - o + 1. Let b(p) = -5*p**2 + 20*p - 12. Let u(m) = 6*a(m) + b(m). Calculate the remainder when u(-15) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 0.4  (b) -3  (c) 0.3  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 348 divide 74285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -16)\/3 - -2. Let v(d) = d**3 + 5*d**2 + 8*d + 4. Let h be v(o). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from azeewewzzzzze.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 736, 1, -4, 7, -5 in decreasing order.\nAnswer: 736, 7, 1, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4  (b) 3\/49  (c) 4\/7  (d) 5  (e) 0.5  (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/49)*l**(-25)*l**4\/(l*l**(11\/3)*l) assuming l is positive.\nAnswer: l**(-3914\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 16*y + 744. Determine r(0).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(-1*3\/(-3)). Suppose -3*f - 5*f + 16 = 0. Solve 4*b - 11 = -f*g - 3, 0 = a*g + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/4*0\/(-1). Let g(d) = 61*d + 4. Let r be g(0). Suppose -2*h + 2*o = -38, -2*h + 5*o + 35 = -0*o. Solve -r*w = -n*w - h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j + 37. Let m be n(-9). Which is the closest to m?  (a) -11  (b) -0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 20 = 90. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -244 - 276?\nAnswer: -50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 2*u. Let k(h) be the second derivative of 1\/2*h**3 - 2*h + u*h**2 + 0 + 1\/4*h**4. Factor k(y).\nAnswer: 3*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -1868*d**2. Let g(l) be the second derivative of -l**4\/6 - 1728*l. Give s(g(m)).\nAnswer: -7472*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110.691 rounded to zero decimal places?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -361 + 2792 = 182*m + 5*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3023 + 13203?\nAnswer: 22232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(1584) + -5 + 0.\nAnswer: -48*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1770705 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4\/7, -2\/29, 0, 7, -45603?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 225 = -3*c, -2*x + c + 100 = 11. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 16*o + 1. Let g be a(2). Suppose -y + 4*f + 7 = -1, 0 = y + f - g. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103178 is divided by 882.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3492 by 2.\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = u - 34400, 2*u = 966*i - 964*i + 68840. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(7) + 1))))**2 + 0 + -4 + sqrt(28)\/sqrt(4) + 4 + ((sqrt(77) - (sqrt(77) + 2*sqrt(77) + sqrt(77)))\/sqrt(11))**2.\nAnswer: sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -19  (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -w**5 + 709*w**4 - 13861*w**3 + 55899*w**2 - 62010*w = 0.\nAnswer: 0, 2, 3, 15, 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -102604*r**4\/7 - 722086*r**3\/7 - 27014*r**2\/7 - 8*r = 0.\nAnswer: -7, -4\/113, -1\/454, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -864, -1802, -2738, -3672, -4604?\n\"Answer: c**2 - 941*c + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 377 divide 41093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1225)\/(-10) + 1\/2. Suppose -3*i - 33 = -n. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -377050 + 162?\nAnswer: -376666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 303859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 13*((-2294)\/4329)\/(-31)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2938213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/24 and -115\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, o: 4, u: 2}. What is prob of picking 2 o and 1 u?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c\/c**(3\/4)*c*c)\/c)\/c**(-1\/6))\/(c**6\/(c\/(c**(-2\/17)*c*c))))\/(((c\/(c\/(c\/c**(-1\/2)*c)))\/c)**(-2\/163))**(-5\/6) assuming c is positive.\nAnswer: c**(-182255\/33252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b2 (base 12) to base 14.\nAnswer: -15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + 12*h**2 + 22*h + 17. Let d be n(-10). Let z(v) = -6*v**3 - 3*v + 3. Let u(m) = 7*m**3 + 4*m - 4. What is d*u(t) - 4*z(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = 10*c + 3*u + 11448215, -22896410 = 4*c + 2*u. What is c rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 11 - 2\/4*2. Let l(y) = -2*y + 16. Let n be l(7). Calculate the highest common divisor of n and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/5, -0.3, 5, 133?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 44, 54, 70, 92, 120?\n\"Answer: 3*v**2 + v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/((-10)\/((-30)\/1)). Let o = -527 - -530. Suppose r + 3 = 2*r. Solve -y = o*s + r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30.05 + 30. Let w = 44 + -44.42. Let a = w + 0.22. Sort 5, n, a in ascending order.\nAnswer: a, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1362 is divided by 1340.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -t**8\/14 - t**4\/2 + 4*t. Find the third derivative of j(h) wrt h.\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1923.1 - -1913.1. What is the second smallest value in n, -4, 4.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 126603437.0061 + -126663981. Let f = m + 60619. Let q = f - 75. What is q rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (8 - 13) + -22.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 35*a**2 - 27*a + 45. List the prime factors of i(34).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 10. Let o = 4 + m. Sort -0.5, o, 1.\nAnswer: o, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2327 - 2247. Suppose -7*o - 750 = -12*o. What is the remainder when o is divided by w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.81 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d - 1. Let n(s) = -s**2 + 3*s - 4. Give 2*a(w) - n(w).\nAnswer: w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 + 4855*z - 17 - 2436*z - 2358*z.\nAnswer: 61*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**3 + 9*w**2 + 8*w - 6. Let l be r(5). What are the prime factors of 74\/l - 32\/144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mffffffmffmffffffm. What is prob of sequence mm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 1) + 4 + -1. Calculate the remainder when (18\/4)\/(b\/24) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4994 - 3236 - 1156 + 49 + 182)*(38 - 6*r - 38) to the form f*r + w and give f.\nAnswer: 54930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/12 - (-2)\/1 - 53*18375\/46746?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-22)\/4)\/(3\/18). Let g = j + 31. Let y be g*1\/2 - -17. Solve -i = 3*i - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*l + 39 = 0, -3*g - 3*l + 6 = -33. Calculate the remainder when 25 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 185057, 185045, 185033, 185021?\n\"Answer: -12*h + 185069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1112 - 1113. Which is greater: j or 26\/9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60780870*x**2 - 143005305*x wrt x.\nAnswer: -121561740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2128418 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: Differentiate 1021773*c*f*o - 7*c*o + 9*f + o - 110968 with respect to f.\nAnswer: 1021773*c*o + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1356220 and 18920.\nAnswer: 29836840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 23674 equal to 23670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4266250 (base 7) to base 5.\nAnswer: 113131212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -332 (base 6) in base 7?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c**6 - 348*c**2 + c**6 + 13*c**5 + 14*c**5 - 3*c**5 + 32*c**5 wrt c.\nAnswer: 360*c**3 + 3360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s, 1 x, and 1 d when four letters picked without replacement from dpxpppsppssspsxp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 5  (b) 2  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/10*(-110)\/99*(-2)\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-3)*k\/k**8*k*((k*k\/((k**4*k)\/k*k)*k)\/k)\/(k*k**8*k) assuming k is positive.\nAnswer: k**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -7. Suppose 3*z + 3 = 4*q, -24 = -j*q - 7*z + 4*z. Let k be 1 + 1 + 2 + -1. Solve 0 = k*r + q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.065 - 30.065. Let g = l + 30.5. Which is the nearest to -4\/5?  (a) g  (b) -1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.9 - 6.92. Let d = -25.02 - m. Let s = -25.2 - d. What is the closest to -1\/3 in -0.3, s, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 + 6*j - 1. Let f be i(4). Let v = f - 7. Suppose 2*t - 7*t + 5 = v. Solve 2*k = w - t - 0, 0 = k + 4*w + 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 218*w - 3134*w - 6503*w + (-2*w + 0*w + 4*w)*(4 - 4 - 2) to d + c*w and give c.\nAnswer: -9423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 123.6526 + -14.5716. Let s = p + -109. Let m = s + -0.031. Which is the smallest value?  (a) -2\/15  (b) 0.2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.628823 milligrams to kilograms.\nAnswer: 0.000001628823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 101 - 100. Let t(g) = -64*g**2 + 2*g - 1. Let p be t(b). Is (5\/(-15)*974)\/(6\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 4*x**2 + 4*x. Let v be 1\/(-4)*3*4. Let o be ((-4)\/v)\/(3\/(-9)). Let k be 19\/(19\/4) + -1. Let y(n) = 3*n**2 + 3*n. What is k*b(t) + o*y(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 157176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5225 and 0.74.\nAnswer: -5224.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.033, -3\/4, 0, 6, -27\/55 in descending order.\nAnswer: 6, 1, 0, -0.033, -27\/55, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 224, 787, 1892, 3719, 6448?\nAnswer: 10259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-3*(0 + (sqrt(7)*1)**2) + 2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*z + 3*z. Suppose z = 3*l - 12 - 3. Suppose -8*f + l*f + 60 = 0. Calculate the highest common divisor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - 2*q**2 + 136*q - 16. What is c(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/6)\/((-116)\/(-12) + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101100001 (base 2) to base 15.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 69740 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - 9*f - 10. Calculate b(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -1 + (1 - (4 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -104?  (a) 17  (b) -2\/7  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 272, 2074, 7022, 16688, 32644, 56462, 89714?\n\"Answer: 262*r**3 + r**2 - 35*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28670069 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1935\/30 + (-1)\/(-2). What is the tens digit of (-6)\/(-30)*8*o\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -316 = -2*c - k, -c = 21*k - 23*k - 148. Suppose 0 = -17*s + c + 133. Let h be (-32)\/(-3)*(-3)\/(-2). Is s at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -f - 3. Let g(n) = n**3 - 4*n**2 - 4*n + 3. Is g(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 12*z + 10956 = 202*z - 49*z for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -109\/5 - -223\/10. Which is the nearest to v?  (a) 0.14  (b) -3\/5  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*o + 15*o + 5 - 5.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 56 - 53. Differentiate 183*q**2 - 183*q**2 + 4 - 4*q**l with respect to q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/42)\/((-1628)\/42735))\/(3\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 22 - 4. Let q be -14 + 16 + z*1. Solve -i + 5*i - q = -2*u, 5*i - 2*u - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 13\/5 of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3484 and -0.07.\nAnswer: -243.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4*w + 805 - 12, -5*o + 4003 = -w. Suppose -3*c = -o - 219. Suppose -3*t = t - c. What is the highest common divisor of 34 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 + 15*c + 25. Let z be d(-11). Let m = z - -14. Let g(t) = -t**2 - 4*t + 5. Let u be g(m). Solve u = -0*l + 2*l - 2, -x + 1 = 5*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21086134 is divided by 178696.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 2)*(-1)\/2. Let n(k) = 4. Let b(l) = -9. Let f(r) = -6*b(r) - 13*n(r). Let i(t) = t - 9. Let u = -956450 - -956459. Give q*i(m) + u*f(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g**3 + g**2 + 7*g + 6. Calculate the remainder when 121 is divided by t(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-6) - 1\/(-12). Let p be (-7)\/((-7)\/90) - 2. Let n = -179\/2 + p. What is the closest to -2\/3 in i, 2\/17, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 AM and 6:45 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 3) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 339.25 decades in millennia?\nAnswer: 3.3925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 2*d - 650, 3*y - 470 = -4*d - 94. Calculate the common denominator of (-3)\/9 - (-680)\/y and -56\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.027416us in nanoseconds?\nAnswer: 4027.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-5 + 1 - 1)*(20 + 9*w - 20)*(0*w + 3*w - 6*w).\nAnswer: 270*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 5165*p**2 - 20*p + 91. Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-165 - -46 - -177)\/(-4 + 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -300, 1107, 19, 5 in descending order.\nAnswer: 1107, 19, 5, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 8, 3*v + 22 = -0*f - 5*f. Let m be -1*1 - (1 + f). Are m and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6882939 divided by -2294313\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*x**2\/5 + 472*x\/5 - 64.\nAnswer: 4*(x + 40)*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 2\/13  (c) 0.1  (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25877*q - 52128*q + 26286*q.\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2114*u**2 - 1558*u**2 - 1287*u**2 + (0*u + 5*u - 4*u)*(2*u + 4*u - 4*u) + 6*u**2 + 3*u**2 - 5*u**2 to l*u + k*u**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21022606 and 3.\nAnswer: 63067818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -661 - -327. Let f be (w + -1)*(-4)\/5. Does 16 divide f\/10*(-20)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, h: 1, o: 1, c: 2, v: 1}. Give prob of picking 1 o, 1 r, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3524 - 0.1462. Let y = i - 0.21. What is y rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {d: 3, u: 4, r: 5, j: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 6298556 = -40*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0556 + -11.7056. Let f = y + 9. Let s = f - -2.6922. Round s to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - 14. Suppose 0*j = -j + q. Let b(k) = 3*k + 9. Let w be b(j). Calculate the greatest common factor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s - 84. Let v be j(-20). Which is the smallest value?  (a) -3  (b) 3\/55  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 14, 134, 190, 152, -10, -326?\n\"Answer: -5*g**3 - 2*g**2 + 161*g - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*t + 0*t = 6237. Let q be (-1 - -10)*14\/6. What is the greatest common factor of q and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 11 - (-4 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-4)*22\/(-44))\/1?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(18\/(-4))\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -127247625, -254495255, -381742885, -508990515, -636238145, -763485775?\nAnswer: -890733405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/12 - (-3462)\/36. Let n = -88 + v. What is the remainder when 29 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26953?  (a) -5  (b) 35  (c) 0.3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t**2 - 334*t + 7333. Give l(18).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 78633042 times -0.06\nAnswer: -4717982.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*d**2\/5 - 1497*d\/5 + 126 = 0.\nAnswer: -42, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-2\/3))**(1\/7)*(a**(-2\/3)*a)**(-19) assuming a is positive.\nAnswer: a**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -114, 5 in increasing order.\nAnswer: -114, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h**2 + 4050*h + 3008000 = 0.\nAnswer: -470, 1280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 506 and 396?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 5)*(-37161*x + 74306*x - 3 - 37119*x).\nAnswer: -26*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325)*-4)**2 + sqrt(13) + (sqrt(39)\/(sqrt(18)\/sqrt(6)))**2)*4.\nAnswer: 4*sqrt(13) + 20852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -46, -4.\nAnswer: -46, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 775392 (base 10) in base 9?\nAnswer: 1411566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 79814830 divided by -5\nAnswer: -15962966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13320203 (base 4) to base 3.\nAnswer: -1122021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 75.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 3*x + 8*o - 3, 3*o + 4 = -x. Suppose 56 - 36 = 5*h. Suppose 0 = 2*q + h*j - 32, j + 2 - 7 = 0. Is x less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41*o**2 + 1166*o - 41*o**2 + 2126*o**3 - 550*o**3 wrt o?\nAnswer: 9456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/10, -0.12, 66?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 966 - 964. Solve 7 = m*a + 7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -171 divided by 57\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/188 and -143\/564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 15 + 60 = 2*j, 2*j = 4*p + 36 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-13905)\/(-90))\/(2\/(-4))*349\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-70)\/(-10))\/14*(-5 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**8*s*s**(-6)\/s*s**(1\/2)*s**(-2\/23)\/s*s)**(-2\/47) assuming s is positive.\nAnswer: s**(-111\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 455 (base 8) to base 14.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 58531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 3*d - 10, -3*f = 5*d - 18 + 1. What is the third smallest value in -3, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 1\/(-1) + 212. Suppose -70 = -4*d + i. Let s(z) = 7*z**2 - 435*z + 870. Let j be s(2). Calculate the greatest common factor of j and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84747470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**3 + 3770 + 3751 - 7521.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 68 and 42024?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h + 2. Let r(g) = 3*g + 2. Let d(o) = -7*o - o - o**2 + 10 + o**2 + o**2. Let j be d(7). Give j*r(t) - 4*x(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {d: 7, u: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 29361358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ghggggggghhwggg. What is prob of sequence hh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/7 - 464082*j**2\/7 + 464081*j\/7.\nAnswer: j*(j - 464081)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2909*b - 5893*b - 4449*b - 1015*b.\nAnswer: -8448*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 490*p**2. Let v(r) = -30216*r. Calculate v(h(w)).\nAnswer: -14805840*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -20\/7  (b) 1  (c) -3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4*n + 10 = -8*n, 5*y + 4*n + 13 = 0. Which is the nearest to y?  (a) -1\/3  (b) 2\/11  (c) 4  (d) 5\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 176.7 + -178. What is the smallest value in -1, 3, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -239*z**2 + 1 + 541*z - 541*z - 2 + 3 in the form k*z + n*z**2 + x and give n.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 PM and 6:58 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -152, 2\/9, -1\/4 in decreasing order.\nAnswer: 5, 2\/9, 0, -1\/4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4*h + 204 = 0. Let u = 11 - h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -536*l**4 + l**2 + 79*l + 1823179?\nAnswer: -2144*l**3 + 2*l + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1916 and 132417634.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-6))\/(z\/(z\/((z**8*z)\/z)))*z**3*z*z\/(z\/z**(-9)))**(-2\/105))**(-3\/25) assuming z is positive.\nAnswer: z**(-36\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p\/(p\/(p*p*p*p\/(p*p**(-2\/7)))))\/p)*p**(1\/2))**45 assuming p is positive.\nAnswer: p**(-495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, d: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2\/4 - 3843*u\/4 + 25233\/2.\nAnswer: -3*(u - 13)*(u + 1294)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6297 + 163635\/26. Let a = 115\/26 + o. Let a*t**2 - 4\/13*t + 0 = 0. What is t?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -84 - 32831?\nAnswer: -33025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -c**5\/60 - c**4\/12 - 16*c**2. Solve m(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a\/a**12))\/a**16*((a\/((a*a**(-1)*a)\/a))\/a)**33 assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**11\/v*v**(-10))**(-13) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2*z + 14 = 0, -23 = a - 6*a + 3*z. Suppose -a*p = 2*j + 2*j + 2068, 3 = j. What is p rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4*t**3 - 91*t**2 - 82*t + 15. Is c(44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 16*w - 93. Let t be (((-540)\/(-25))\/9)\/((-3)\/(-10)). Let y be o(t). What is the highest common divisor of 21 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 168 - 166. Suppose 4*d + 0*d - 48041 = 3*a, 0 = c*d - 4*a - 24018. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 27\/6 + 2\/(-4). Let q = -0.1369 + -2.8631. What is the third biggest value in 3, o, -0.7, q?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*19\/(-3)*3. Let s = 29 + k. Solve 7*x = 2*x - s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -704 - -112. Let l = i + 580. Which is the fourth smallest value?  (a) 2\/13  (b) l  (c) -5  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s\/(s*s**(-1\/2)\/s*s)))**31)**(8\/9)\/((s*s\/s**(1\/4)*s)**37\/((s\/s**(-5))\/s*s\/(s**(3\/2)*s))) assuming s is positive.\nAnswer: s**(-4033\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (20 + -23) - (3 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 z when four letters picked without replacement from {p: 3, j: 13, z: 4}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -1. Let u = -0.496 + -0.004. What is the nearest to 1 in o, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/(1710\/(-24))*(-9)\/(-24)*-4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 23316, -2\/7, -171, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47 + -17. Is 91 - (24\/i)\/((-4)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 151*n**2 - 28*n + 90. Let o(k) = k**2 - k + 18. What is -b(h) + 5*o(h)?\nAnswer: -146*h**2 + 23*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 424 + 8*y - 227 - 128 + (2 - 2 - y)*(9 - 6 + 3) to the form x*y + a and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 f when three letters picked without replacement from fifohhphpopii.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6210781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -306 + 294 - 418 + n**3 - 336 in the form d + u*n**3 + f*n**2 + c*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from gtttyty.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 + -37. Let k be 86514\/c + -2 + (-21)\/(-15). Is (15\/12)\/5 + k\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257 is divided by 81?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*n**3 + 7*n**2 - n**2 - 6*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-198)\/18)\/11*18\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -392.7 + -333770.\nAnswer: -334162.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8385422 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 n when three letters picked without replacement from vknvvksssslss?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3981*w + 43791. Let y be v(11). Let x = -1 - -19. Suppose x = 5*h - 2. Solve 4*n - 1 = a, y = -h*n - 4*a - 3 - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 74 + -62. Suppose -3*w + 6*w - u = 0. Suppose 1\/2*d**2 + 1\/2*d - 1\/2*d**w + 0 - 1\/2*d**3 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ywcwwkwjcck. Give prob of picking 1 w, 1 j, and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 30475580693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 7*i**2 - 21*i + 142. Calculate the remainder when 741 is divided by p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10249341 is divided by 251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uod when three letters picked without replacement from {o: 3, u: 2, d: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1227211732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 276 divide 2462748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5142 = 9*o - 110478. Suppose 21*u = 10*u + o. Is u a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.4 - -0.4. Let i = 541.89 - 542. Which is the third smallest value?  (a) n  (b) -4  (c) 0.4  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 36, 0, 3 in decreasing order.\nAnswer: 36, 3, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238433*z**3 + 476848*z**3 - 238407*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1518\/187 + 8*-1. Suppose p + 3*q - 4*q = -6, -4*p = 2*q. What is the third biggest value in p, b, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 3, 0.02, 60, -47, -11?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -82. Suppose 0 = y*r - 68*r - 981. Calculate the remainder when r is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/68)\/(-1*(-8)\/((-56)\/7)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**3\/t)\/t**(-1\/11)*(t**(-1\/4)\/t)**(-2\/17)*(((t*t*t**(-3))\/t)\/t**(-6))**(-1\/24) assuming t is positive.\nAnswer: t**(1162\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 129651587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 4*x. Let p(w) = -13*w + 19. Let i be p(1). Let o(l) = 2*l. What is i*c(q) - 14*o(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, k: 1, w: 6, h: 8}. Give prob of picking 2 h.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**2 + u - 1. Let c be r(1). Let b(k) = k - 3. Let m(p) = -p + 1. Calculate c*b(z) + 5*m(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.2 + -3. Let g be 2 - 1 - 13*1. Let j be 0 + -1 - 9\/g. Which is the third biggest value?  (a) j  (b) k  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/(v\/(v**(-1)*v)))**5)**(-1\/22)\/((v**(-1\/6)\/(v\/((v**(-1\/5)\/v)\/v)))\/(v**(-1))**18) assuming v is positive.\nAnswer: v**(-2452\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0)**(2\/7)\/(k**(-1\/2))**(-2\/99)*((k\/k**(-4))\/(k*k**(-2\/17)))**22 assuming k is positive.\nAnswer: k**(152443\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20003785849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1147 (base 14) to base 15\nAnswer: d53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 28\/(-21) - ((-8)\/14)\/((-33)\/(-77)). Sort v, -16, -3 in descending order.\nAnswer: v, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*f - 68*f + 33*f - 3*f**2 + (f + f + 3*f)*(-3*f - 3*f - 2*f).\nAnswer: -43*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 265135 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 - 38 = -5*v. Suppose 2*m - 3*k - 2*k = 61, -v*k = 2*m - 37. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -9*w - 30. Let u be i(-6). What is the highest common factor of u and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 2)*(-3*p - p + 2*p)*(6 + 0 - 3).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 15 = 4*z, 2*z + 3*z = 5*c - 30. Suppose -3*d + 79 = 2*i + 2*i, -c*d + 4*i = -95. Let r = 78 - d. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, g: 2, c: 1, q: 1, b: 1, s: 2}. Give prob of picking 1 q, 1 y, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of c**3\/3 - 4*c**2 - 2*c + 14. List the prime factors of o(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(-1\/20)*y*y*y))**(-1\/33) assuming y is positive.\nAnswer: y**(13\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-416)\/(-224) - (-1)\/7. Solve 4*w = -s + 6 + 8, w + n*s = 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/11*n**2 + 0 + 16\/11*n + 2\/11*n**3.\nAnswer: 2*n*(n + 2)*(n + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/144 and -44\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v**3\/13 - 3410*v**2\/13 - 174924*v\/13 = 0. What is v?\nAnswer: -1017\/8, -86, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -12.411 from -0.4.\nAnswer: 12.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9526, 19045, 28564, 38083, 47602?\nAnswer: 57121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2209241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*d + 27*d - 1192 - 970 + 216 + 315 in the form y*d + p and give p.\nAnswer: -1631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -52184, -104612, -157040, -209468, -261896?\n\"Answer: -52428*v + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (84\/(-30))\/((32\/(-20))\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2*((sqrt(48) + 3*sqrt(48))*6 + (sqrt(48) - (sqrt(48) - (sqrt(48) - (sqrt(48) - 2*sqrt(48)) - sqrt(48))*5))))**2.\nAnswer: 968832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71808.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 24*i - 47. Let k be h(19). Suppose -2*w + k = -6*w. What is the common denominator of 89\/2 and 1*(-45)\/w*(-10)\/17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00009868 rounded to 6 decimal places?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47059375 divided by -407.\nAnswer: 115625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 15*y**2 - 23*y + 34. Determine j(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 0.0780728, -0.2.\nAnswer: -0.2, 0.0780728, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 213, 245, 327, 483, 737, 1113, 1635?\nAnswer: 2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 414 - 414 + 48*n to k + b*n and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -8*f + 23. Let b be m(-7). Suppose k + 3*l = b, 1 + 14 = -5*l. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -157 - 80b69?\nAnswer: -81104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*w - a + 6*a, -3*a = 3. Let y = 16 - w. What is the common denominator of 3\/y + 230\/8 and -17\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 859 - 853. Suppose 0 = -2*y - y + 60. Let b = r + y. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4384, -4, 0, 3, -24 in descending order.\nAnswer: 4384, 3, 0, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 11*l**2 - 18*l - 1. Let n be z(-3). Suppose n = -4*c + 164. Calculate the least common multiple of c and 4\/(-8) - 21\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81462.42 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1221811331 and 220.\nAnswer: -1221811111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5*w = -10. Let z = w - 6. What is the derivative of 21 + z + 29*q - 10 - 2 wrt q?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13287755, 13287797, 13287867, 13287965, 13288091, 13288245?\nAnswer: 13288427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 130525 (base 14) to base 3\nAnswer: 1020020020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**2 + 24 - 69 + 26 + 19.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 4*r**2 - 13*r - 21. Calculate d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3115195133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6006961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away -284?\nAnswer: 283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 233 in 0.5, -1\/11, -1, -1\/4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -31*u**2 + 1\/20*u**5 + 0 + 0*u + 0*u**4 + 0*u**3. Let a(s) = -4*s**2. Calculate j(a(k)).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/2 + (-3)\/(-6). Is (-1)\/(-1) + (68 - s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/4 + ((-263)\/(-4) - 2). Suppose 0 = 5*w - 141 - j. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1077)\/(-60) - 15 - -6*1\/(-8)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -68 - -240. Let w = r + -164. Solve -3*b + b = 4*n + 24, 3*b = 5*n + w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 2*i - 60, -136*l = -3*i - 132*l + 80 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 226*g**6 - 1137*g**2 wrt g.\nAnswer: 27120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -117232, -234059, -350886, -467713, -584540?\nAnswer: -701367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 119164*c**4 - 156704504*c**3 + 786565728*c**2 - 1318275712*c + 736785920.\nAnswer: 4*(c - 1310)*(31*c - 52)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -3*c - 3*k, -13 = 4*c - 5*k + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1833517459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 0 + (-3 - (-1 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 125619 and 11245.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**3\/7 + 18066*s**2\/7 + 90280*s\/7 = 0. Calculate s.\nAnswer: -9028, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -222*k*m**3 - 42*k*m - m wrt m?\nAnswer: -1332*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n + 38*n**2 + n + 33*n**2 + 3*n**3 - 69*n**2 + 1. Let l(v) = -v + 5. Let m be l(-2). Suppose -3*u = j + 11, -j + 4*u + m = u. Determine c(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 201, 152, 75, -24, -139, -264, -393, -520?\n\"Answer: n**3 - 20*n**2 + 4*n + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 328?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -201*r**2*z**4 + 2*r**2*z + 3*r*z**4 - 3*z**4 - 7*z**2 + 2226 wrt z?\nAnswer: -4824*r**2*z + 72*r*z - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, x: 3, u: 3, l: 5}. Give prob of sequence ux.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(-246))\/(28763\/(-24654)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 153490352.70000122 - 153490351. Let t = -1.7 + z. Round t to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -7*k**2 - 44*k + 39. Let q(g) = -16*g**2 - 98*g + 78. Let t(b) = -3*q(b) + 7*y(b). Determine t(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -50  (b) -0.2  (c) 2\/5  (d) -53\/3  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llnlrrlnwe. Give prob of picking 2 r and 1 n.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 3*n - 8*n - 9 - 3*n - 8*n**2. Let p be 27\/(-6) + 2 + 3\/6. Let y(h) = -2*h**2 - 2*h - 2. What is p*v(r) + 9*y(r)?\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010 + 211201121210?\nAnswer: 211201122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11880.6795 + -12181.680005. Let o = 301 + b. Round o to 5 dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**2 - 3*y**4 + 3*y**2 + 7*y**4 - 7 - 7*y**2 in the form r*y**4 + d*y + m*y**3 + l*y**2 + p and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 3474?\nAnswer: -3472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 866918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**3 - 2*d**3 + d**3)*(-d**2 + 4*d**2 - 2*d**2 + (2 - 7 + 3)*(-2 + 2 - 4*d**2)).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (7 + -13 + 7 + (-55)\/495)*(-9)\/(-348)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 3*f - 871 = 0, 5*u - 314 = f + 569. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - w. Suppose 2*d + d - 42 = w. What is the common denominator of 186\/(-112) - (-4)\/d and -39\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**4 - m**4 + m**4)*(2 - 8 + 2 - 4 + 3 + 0 + (2 - 1 + 0)*(2 + 3 - 6) - 3 - 2 + 3).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 396 and 814.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*sqrt(2736))**2*4*1 + (-4*sqrt(2736) + 5 + 2 + -5)**2.\nAnswer: 576*sqrt(19) + 87620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1320\/110 + 3666\/2 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-19) + (-1539)\/11191*1?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 1 + 0 = -5*q, 9 = -q + 5*s. Suppose 2*y + 6 = 4*y. Calculate the highest common divisor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -l**2*u - 3*l**2*w - 3*l**2 + 39*u**2*w + 15*u**2 + 40*w wrt u?\nAnswer: -l**2 + 78*u*w + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -48b241 (base 12) to base 8\nAnswer: -4401621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -6*v**2 + v - 1. Let j = -14 - -15. Let p be d(j). Let w be 0\/1 - 6\/p. Put w, 2, -3 in decreasing order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*l - 52 = -118*l. Let a(f) = 4*f**2 + 13*f - 13. Let u(c) = c**2 + 3*c - 3. Let x(w) = l*u(w) - 6*a(w). Let h(q) = -28*q**2. What is x(h(y))?\nAnswer: 1568*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 1 - 2*i + 0*i**3 - 11 - 102*i**3.\nAnswer: -102*i**3 - 2*i - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 189 and 344547.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1 and -24609.7.\nAnswer: -24609.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of c**5\/20 + c**2\/2 - c. Let u(o) = o**2 + o - 3. Let m(a) = -a**2 + 38*a - 195. Let z be m(32). Calculate z*y(i) - u(i).\nAnswer: -3*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 310704 (base 12) to base 6.\nAnswer: 24244404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 8:20 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -707, 62 in increasing order.\nAnswer: -707, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1634 is divided by 115.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of t**2 - 38*t + 27. Let n be w(-22). Let z = -79 - n. Sort z, 1, -24, -3 in descending order.\nAnswer: z, 1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -501*a - 72 = 3936 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2093 and 2275.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((i**(-5)*i)\/i)\/(i\/(i*i**(16\/9))))**(-1\/4))**(9\/8))**(-3\/16) assuming i is positive.\nAnswer: i**(-87\/512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -1003584*h**2. Let r(c) = 5*c - 46. Calculate r(a(x)).\nAnswer: -5017920*x**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9142?  (a) -4\/5  (b) -0.1  (c) 0.071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 453 + -449. Solve y = b*p + 12, 4*p + 6 = 4*y - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 777*d**2 + 116547*d - 586. Give p(-150).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**2 - o. Let z(t) = 99*t**2 + 6*t - 78. Let u(n) = 6*s(n) + z(n). Differentiate u(b) wrt b.\nAnswer: 222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -519*z**3\/4 - 32504961*z**2\/2 - 62754741*z\/4 + 1127331\/2 = 0. What is z?\nAnswer: -125259, -1, 6\/173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -2, 118\/11, 0.15 in decreasing order.\nAnswer: 21, 118\/11, 0.15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from xkqqchkp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 69*n = 68*n + 12, 5*k = 2*n + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 28?  (a) 15  (b) -4\/5  (c) 0.5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.1476 rounded to one decimal place?\nAnswer: -43.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 71604462497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 4*l - 61, 0 = -2*i - 8 - 2. Solve s - l = 5*a, -5*a + 2*s - 11 = 3*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*v + 7980 = -0*v. Is 38 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 4 - 9. Let u = -12 + 16. Sort 0, g, u in descending order.\nAnswer: u, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 0*q + 240. Suppose -6*w - q = -9*w. What is the remainder when 63 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.9 in 0.19, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2*-2*sqrt(475) + sqrt(475))**2 - ((sqrt(19)*-3)**2*-1 - (sqrt(57)\/sqrt(3) - sqrt(19))*-3).\nAnswer: -25479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 11. Let m = 15 - 20. Which is the second biggest value?  (a) m  (b) 3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22c (base 13) to base 14.\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9088 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5575 - -53?\nAnswer: -5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -5*s**2. Let g(p) = 729*p**2 - 2*p. Determine g(c(q)).\nAnswer: 18225*q**4 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 3964705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -52 (base 12) to base 4\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -1\/3, 0.1, 3.2, -3, 0.21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/31587 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -452 = 35*f - 716 - 401 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 542961.7 litres to millilitres.\nAnswer: 542961700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**6*w**(-10)*w**9\/w*w*w**3\/w*w assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2367.5 + 2367. Sort 7\/24, 5, -2, z, -1 in ascending order.\nAnswer: -2, -1, z, 7\/24, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f - 13. Suppose 4*x = -2*t + 170, 0 = -0*x - x + 3*t + 60. Let v be 1\/((-4 + 1)\/x). Let d be z(v). Solve d*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-681)\/681*(-18)\/(-5)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9503116.\nAnswer: 2, 7, 19, 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 148 and ((-2)\/(-2))\/((-183)\/(-47397))?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3*8\/36)\/((-4)\/18). Suppose -s*y - 88 = 152. Is ((-72)\/(-5))\/(4\/(y\/(-4))) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-3) + (-4)\/6. Suppose -2*o + 0*j = -j, -j + m = -o. Sort -3\/8, o, -2 in increasing order.\nAnswer: -2, -3\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times -77?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 4*u. Suppose -2*v + 6 = v. Solve -4 = -o - 2, u = -l - v*o + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = m + 2*m + 1, 5*u - 13 = m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, o: 2, s: 8}. What is prob of sequence oy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3878 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1668822235 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -25*h + 75. Give d(15).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30662 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 432199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -50422*o - 151271. Calculate k(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-154)\/55*(-15)\/(1 - 4). Calculate the remainder when 33 is divided by 49\/i*36\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 + 12*l + 10. Let t be q(-11). Let i be t - 1 - (-3 + 5 + -19). Solve -4*k + i + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 6 = -3*i. Let c be 2*(-6)\/(-15) + (-3360)\/(-300). Let a(w) = c*w + i + 2 - 13*w. What is a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(25)\/sqrt(5) + sqrt(5)) + 0 + ((sqrt(30)\/(sqrt(6) - sqrt(24)))**2 - sqrt(5))*1.\nAnswer: 5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8432368*c**4 - 3*c**2 - 44271310 with respect to c.\nAnswer: -33729472*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31 + 28. Let d = -59 + j. Sort d, -2, -3, 6 in descending order.\nAnswer: 6, d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 42.898, -0.3, -9 in decreasing order.\nAnswer: 42.898, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r**3 + 2*r**2 - 5*r - 130. Let d(z) = 5*z**3 - 2*z**2 + 6*z + 104. Determine 5*d(q) + 4*f(q).\nAnswer: 5*q**3 - 2*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 19 - 108?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -33\/2, -38, -3, -2\/7, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 153999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 5235472*i - 192. Let n be o(11). Suppose -4*s = -17*s + n. What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37482186?\nAnswer: 2, 3, 7, 892433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -478.7077069091 and 0.5.\nAnswer: -478.2077069091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -z**5\/24 - 5*z**3\/6 + 4*z. Let i(p) be the second derivative of u(p). Let d(n) = n. Determine d(i(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 294 and 164346.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -c - 5*s, 0 = -46*s + 44*s - 10. Solve c = 5*z + 3*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178567.\nAnswer: 178567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 4. Let y(q) = q**2 + 4*q - 7. Let m be y(z). Solve m*c = 3*p + 12, 0 - 3 = -3*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4*sqrt(637)*3*4)**2 - (-1*-3*sqrt(637) + 5 + 0 + sqrt(637) + sqrt(637))**2.\nAnswer: -8821838 - 350*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -669 or -0.1?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429467349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -174 - -176. Let b(d) = d**3 - 4*d**2 - 2*d - 2. Let g(u) = -u**3 - u**2 - 1. Determine n*g(f) - b(f).\nAnswer: -3*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167136 is divided by 361.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 569964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mhz when three letters picked without replacement from {z: 2, h: 2, f: 2, m: 3, o: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -141796 divided by 94?\nAnswer: -70898\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(68\/(-28) - -2) - -10. Suppose 5*z = z + 16. Solve -g*l + z = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**4\/3 - j**2. Suppose 5*s = 3*q + 25, 103*q + 15 = 3*s + 108*q. What is the units digit of u(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (43536\/(-180)*5)\/(0 - (-3)\/(-135))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 127 + -332. Let l = a - -435. Calculate the greatest common divisor of 46 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 824319.\nAnswer: 3, 91591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-5) + 2\/(-19). Let v = -30\/7 + 32\/7. Let f be 7\/(-35) + 12\/35. Which is the third smallest value?  (a) x  (b) f  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12842800 divided by 200\nAnswer: 64214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-12) - (-1191)\/(-18). Suppose -237 - 72 = -3*i. Let h = l + i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61204?\nAnswer: 2, 11, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 297 and 42552.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -8, 9, 40, 91, 168, 277, 424?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 425 divide 28566800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17212 + 17212 - 58*s to the form o*s + m and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23651\/4867 or 6?\nAnswer: 23651\/4867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27 * -78730.\nAnswer: -2125710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 9 = -2*k, k = 268021*z - 268028*z - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 235156 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(2\/55)*k*k*k**17*(k**(-11)*k)**(6\/5) assuming k is positive.\nAnswer: k**(442\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 111*o**4 + o + 6*o**5 - o**5 - 110*o**4 - 3*o**5 + 4*o**2 wrt o?\nAnswer: 120*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 6*i = 3*k - 32, -3*k + i + 16 = 0. Let c be (24\/(-10))\/((-240)\/(-400)). Sort -2, c, k, -5.\nAnswer: -5, c, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -359 and 0.7.\nAnswer: -251.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4.77649347312 and -3.\nAnswer: -7.77649347312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/14)\/9 - 5\/77.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/3)*s*s)**(32\/7)*(s\/(((s**4\/s)\/s)\/s))\/(s*s**2\/s))**23 assuming s is positive.\nAnswer: s**(598\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 less than or equal to 482583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10\/17 + 64\/51. What is the closest to d in 4, 3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 357410 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 + 0. Let b = 44 + c. What is the greatest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -144921 times -4?\nAnswer: 579684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (65100\/7236 + -9)*1\/(-9). Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-490)\/8)\/(-5) + (-8)\/32. Suppose 21*z - a = 15*z. Solve -3*s + 8 = -s + 2*h, z*s - 5*h = -13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of -d**3\/3 + 1. Suppose -3*z = -2*z. Let o(w) = z + 3*w**2 - w**2 + 0. What is r(o(n))?\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5 - 5 - 6*h**2 - 4*h**3 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, a: 2, r: 1, l: 1, c: 1}. What is prob of sequence da?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-60)\/50)\/(6\/(-20)). Suppose -t*v = 3*v. Let b = 25 + v. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 54632122, 109264244, 163896366, 218528488?\n\"Answer: 54632122*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/((-68)\/25) - 8\/68. Put 9, 4, d, 2\/3 in descending order.\nAnswer: 9, 4, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wjw when three letters picked without replacement from mmjccraww?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 28, -5, -537, -2\/7, 4, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and 6073347969149.\nAnswer: 6073347969148.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -549428*d**3 + 1098886*d**3 - 549430*d**3.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 66555.57 decades?\nAnswer: 665.5557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 323481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4\/17 - -29\/51. Let p(u) = -u**3 + 5*u**2 + 6*u + 5. Let g be (-6 + 2)\/((-4)\/6). Let x be p(g). Is x < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26301, -52845, -79389, -105933, -132477, -159021?\nAnswer: -185565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -20.3 + 211.14\nAnswer: 190.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -59*f - 25. Let x(g) = g - 5. Determine b(j) - 6*x(j).\nAnswer: -65*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + -3)*2\/4. Let m = -1 + j. Let a = m - -7. Solve -a*f - 2*c - 2 = 28, 2*f = 2*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 22*w - 19. Give a(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -7. Let v(w) = 97*w + 17756. Let f be v(-183). What is the third smallest value in -5, 0.4, u, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -48.39 and -0.3204?\nAnswer: 15.504156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 50792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1482 and 1368.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 10*r**2 + 2*r + 8. Let d be s(-10). Let o(k) = k**2 + 7*k - 17. Let z be o(-9). Does 2 divide 2 + (2 - d\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 122, 0.\nAnswer: -0.1, 0, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 2:28 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143*q**2 + 6 - 4 + 477*q**2 - 2 + 2*q**3.\nAnswer: 2*q**3 + 620*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -406, -1391, -3310, -6475, -11198?\nAnswer: -17791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 824, 1635, 2446?\n\"Answer: 811*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -143426\/11 at most as big as -13039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from urvgmvr. Give prob of sequence gu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3530)\/1510*45\/(-15) + 14\/(-2)?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000009105 to 7 decimal places.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**1*(y**(1\/6)*y)\/y*y)\/(y\/(y*(y\/(y\/(y*y**0*y)))\/y))**(-2)*(y\/y**(-2\/3)*y)**(-2\/5)*y**2\/y*y**(-2\/13)*y*y*y assuming y is positive.\nAnswer: y**(383\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1691, -2822, -3961, -5108, -6263?\n\"Answer: -4*x**2 - 1119*x - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -172413432.\nAnswer: -86206716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 8\/28 + 24\/14. Suppose -f + 1 = -2*i. Solve 1 = i*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 162, 164, 166, 168?\n\"Answer: 2*i + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 377592 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.46?  (a) -3  (b) -0.06  (c) -4  (d) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**2 - 6*w. Let f(v) = 4*v**2 - 13*v. Let z(k) = -6*f(k) + 13*j(k). Let h(d) be the third derivative of 7*d**4\/24 + d**2. Give h(z(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 2. Let v be -4*(-3)\/(-46 - -4)*-1. What is the closest to -3\/4 in a, 4\/7, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + 3. Let r = 2 + 0. Let z be ((9\/r)\/3)\/((-9)\/24). Calculate h(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -72327.203+0.03\nAnswer: -72327.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 153553292 minus -0.19778?\nAnswer: 153553292.19778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11354, -45942, -103764, -184814, -289086, -416574?\n\"Answer: x**3 - 11623*x**2 + 274*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 13311124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 6. Let o(w) = w**3 + 9*w**2 + 5*w - 2. Does 23 divide o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*z**4 - 255*z**3\/8 + 63*z**2\/4.\nAnswer: 3*z**2*(z - 2)*(32*z - 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*y**3 + 32 - 6 - 3*y**3 + 0*y + y as q + t*y + r*y**3 + u*y**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 33 + 11 = -a, 3*a - 4*w = 27. Suppose a*n = 18*n + 15. What is the remainder when (n\/2)\/(39\/(-572)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (((119\/(-35))\/(-17))\/1)\/(1\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 9591880.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 263653581 a multiple of 1478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9239*r**6 + 2*r**3 - r**2 - 4091*r - 1 wrt r.\nAnswer: 1108680*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 177891679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -359 - -306. Let o = u - -57. Solve 8*n = 4*n - o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 11:17 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2134 - -3?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k - k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - 25*q**2 - 120*q - 64. Calculate c(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.8  (b) 0.5  (c) 5  (d) -1  (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(108)*4)*2.\nAnswer: -4 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10584.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*t - 26*t - 6*t)*((4 - 5 + 2)*(1 + 0 - 3) + 0 - 7 + 17).\nAnswer: -192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1023365 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-1349)\/1207*-17.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1015 or -4\/5?\nAnswer: -1015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 33804.148 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 13. Suppose 2*i - 10 = -q, 0*q + 64 = 5*q + s*i. Let n = 256 + -158. What is the highest common factor of n and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1862398 and 0.006.\nAnswer: -0.0011174388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -886 - -1637. Suppose w = 7*h - 369. Calculate the remainder when h is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3085*z**4 - 2*z**3 + 235*z**2 + 16028639*z.\nAnswer: 37020*z**2 - 12*z + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*t - u = 19, -5*u = -5*t + 35. Calculate the remainder when 15 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*l - 8*l + 6*l)*(0*l + l + 0*l) + 1542*l - 1542*l + 63*l**2)*(2*l + 3*l + 0*l).\nAnswer: 280*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 4*w - 92. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 69703900 and 5950.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y - 12. Calculate u(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0122 times -30.31?\nAnswer: 0.369782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 3 z when four letters picked without replacement from {z: 14, b: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6*l + 7 - 5*l**2 + 6*l**2 - 1. Let w be m(-5). Is 21*w + (2 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-5))\/(6\/(-40)*4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (8 - 6 - (3 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -145328251.2 to the nearest 100000.\nAnswer: -145300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 3223?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*x**4 - 928*x**3 + x**2 - 582*x - 3?\nAnswer: -24*x**2 - 5568*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -98 - -210. Let t = k - 111.543. What is t rounded to 2 decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 7:59 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 648954 and 144212?\nAnswer: 1297908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000032778 to 7 decimal places.\nAnswer: -0.0000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 23241*-5.2\nAnswer: -120853.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7440 = 3960*q - 3774*q for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 214851554 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(-6)*18\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c**2. Let k(b) = b**2. Let u(p) = 5*k(p) - 3*x(p). Let h(g) = g**2 + 9*g + 10. Let q be h(-8). Let y(s) = -2 - s**2 - s**q + 2. Determine u(y(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4*o + 14. What is the least common multiple of (5\/25)\/((-13)\/(-130)) and a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbiiiiiiivviidii.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3*t**2 + 20*t + 9. Let d be (11\/(55\/10))\/(1\/(-5)). Calculate the lowest common multiple of 8 and i(d).\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 20 - 5 = 0. Suppose 2*s + 3*r = 36, 72 = 5*s - 0*r + u*r. Solve 5*w - 2*x + s = -3, 3*x + 10 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 268, 28, -11\/75?\nAnswer: -11\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9172 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**4 - 2*g**4 - 3*g**4)*(0 + 1 + 1)*(-2 + 2 - 1).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*o\/(o**(-8)*o)*o*o))\/o**(-6))\/(o*o**(2\/3)*o*o*o*o**(-2\/7)*o) assuming o is positive.\nAnswer: o**(-218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.003 - 0.007. Let h = -61\/20 - -14\/5. Which is the third smallest value?  (a) h  (b) -5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/143202 and 99\/6938.\nAnswer: 496767738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/1)\/(1\/5). Let f be ((-1950)\/(-1) - 2)\/4. Let j = f + -417. Calculate the greatest common factor of g and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -22\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-6)\/20*-30*(-15)\/180*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 676414163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**5\/13 - 1834*v**4\/13 - 565398*v**3\/13 - 60043086*v**2\/13 - 445090032*v\/13.\nAnswer: -2*v*(v + 8)*(v + 303)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -368*p - 9. Let d(s) = -37*s. Calculate c(d(a)).\nAnswer: 13616*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -21*l - 29. What is d(-6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -15, -60, -157, -324?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184649?\nAnswer: 184649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 24 = -q - q, 3*q + 4 = 4*p. Suppose 0 = p*x - 0*x - 236. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u**5 - 5*u**4 + 3*u**5 - 2*u**5 - u**5 - 1 + 1 + (-u**3 - 3*u**3 + 5*u**3)*(-u**2 - 2 + 2).\nAnswer: -u**5 - 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -1*(-3 + -3*(5*sqrt(208) + sqrt(208) + -3 - (sqrt(208) - (sqrt(208) + sqrt(208)*2 + 4)))))**2.\nAnswer: 576*sqrt(13) + 119817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3 - 30587*q**2\/4 + 30563*q\/2 - 30555\/4.\nAnswer: (q - 1)**2*(16*q - 30555)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4814627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 5*l + 14 = 0, -10*l + 5*l - 11 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 7*f + 16. Give x(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*n + 58 = 5*i, -2*i - 10*n + 8*n + 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = 10*o - 135. Is (0 - -8348) + (-2 - (-15)\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 310, 312, 314?\n\"Answer: 2*w + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(8\/16*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 48228056711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 9*v**2 + 1. Let p(j) = -1. Calculate b(q) + p(q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4424 and 8936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (13\/3)\/((-27)\/(-243)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/21)*s)\/(s*s\/(s**(-3\/11)*s)*s)*(s**2)**(-2\/173))**(3\/8) assuming s is positive.\nAnswer: s**(-53689\/106568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/9*q**2 - 717602\/9 + 2396\/9*q = 0.\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -336 + 0?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/30 + 13\/5. Suppose 2*r - 20 = -2*j, r = t*j - 0 - 5. Solve -4*a - j = 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 - 5 - -5)\/(1\/(-46)). Are -95 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2883.494*2\nAnswer: -5766.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -20437 (base 13) in base 4?\nAnswer: -32013310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 2 - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1836943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/8)\/(15\/120). What is the second biggest value in -5, t, 1\/36, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from njoj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a factor of 270389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41 - (0 + 5 + -10 + 1 + 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jdkz when four letters picked without replacement from kdzdj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11101101111001011 (base 2) to base 15.\nAnswer: -26153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1168 + -1146. What is the greatest common factor of 2662 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -2098?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -6*x + 15. Let d(y) = 3*y - 8. Let z(c) = 7*d(c) + 4*v(c). Let g be z(4). Put 1, 4, g in increasing order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14)\/(-8) - 4\/(-16). Let q be (-8)\/(-48) - (-2)\/4. Put q, -4, s in decreasing order.\nAnswer: s, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5303 = 10*n + 1383. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -77, -250, -705, -1598, -3085, -5322, -8465?\n\"Answer: -26*u**3 + 15*u**2 - 36*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 850477 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 4267.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/22 - (-336)\/(-44). Let r(p) = -5*p - 23. Calculate r(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1443149849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - y**2 + 2. Let v(m) = -12*m**3 + 5*m**2 + m + 10. Let c(k) = -5*g(k) + v(k). Find the third derivative of c(w) wrt w.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1ed61 + -5?\nAnswer: 1ed5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*r**2 + 108*r**2 - 367*r**2 + 94*r**2 + 97*r**2.\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1575.362628us in weeks?\nAnswer: 0.00000000260476625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**3 - 3*r**2 - 139*r - 3. List the prime factors of d(21).\nAnswer: 3, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 * -44564\nAnswer: 935844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 874679800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 3*z**3. Let y be u(1). Let a be ((-1)\/12)\/(y\/(-4)). Let v = 1\/24 + -55\/168. What is the nearest to 0.2 in a, v, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 26*r + 90. Let g be 179\/2148 + -2*(-147)\/(-72). Determine c(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 692 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -d - 2*x - 2, -2*d + 2*x + 8 = 0. Let a be -4 - (-1 + 0 - 1). Let z be a + 0 + d\/3. Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + f)*(-8*f**3 - 21*f**3 - 2*f**3)*(-5*f + 4*f + 4*f).\nAnswer: -93*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, -3, -1047, -10, 2 in descending order.\nAnswer: 5, 3, 2, -3, -10, -1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/4 and 79\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10435303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - -45. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2\/z)**(-2\/9))**(1\/14) assuming z is positive.\nAnswer: z**(-1\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99855.\nAnswer: 3, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 28*(-2)\/(-10) + 22\/55. Solve -2*l - j = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 8*y = -36. Let f be ((-9)\/2)\/((y\/(-234))\/1). Calculate the greatest common factor of f and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 5*b - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + u**2 + u - 1. Let l be q(2). Let g be 3\/(l - -6) - -3. Solve -2 = -2*h + a, 4*a - 5 = -g*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 415*c = -1838 + 335 - 2232 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + -3 + -1 - -11. Solve -m + 28 = -4*m - 5*v, t = -2*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.129746 * -0.2.\nAnswer: 0.0259492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 5*f = 2*c + 30, -22 = -5*c + f. Suppose 5*t - t = -c*n + 12, 4*n - 3 = -t. Solve u = -0*u + t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 725492 is divided by 241818?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -6*q - 7*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/((198\/(-12))\/(-11)). Solve 58*d - 62*d + j = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31296*l**3 - 1839*l**2 - 1421085*l + 20.\nAnswer: 187776*l - 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**3 - 1205*q**2 + 0*q**3 + 1205*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 79 + -19. Let d be (17 - 18)*(-14)\/1. Let s = 26 - d. Calculate the greatest common divisor of u and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.79 take away 22?\nAnswer: -22.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10*((-3)\/(-4))\/(45\/24). Suppose 3*d + 13 = t*p, -12 - 8 = -4*d. Suppose -2*q + p*q = 20. Solve 8*x - 28 = 3*x + 2*g, q*x - 32 = 4*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 276*a - 35. Suppose -3*y = -q - 1, 0 = -4*y - 0 + 4. Let i be 2\/(-6*q\/(-24)). Is s(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 378 a factor of 12727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1358, -1370, -1382?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 9. Let s = 16 - a. Let g be 12*s\/9 + 0. Calculate the highest common divisor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of 0 + 89\/30*j**6 - 191\/2*j**2 - 149*j + 0*j**5 - 1\/6*j**4 + 0*j**3. Differentiate r(s) with respect to s.\nAnswer: 356*s**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1570, 1583, 1620, 1693, 1814?\nAnswer: 1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-17)*s)**(-42)\/((s\/(s\/s**(-29)))\/s*s*s**(5\/2)) assuming s is positive.\nAnswer: s**(1313\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1)*a*(a*(a**7*a*a)\/a)\/a)\/(a\/a**0)**(-27) assuming a is positive.\nAnswer: a**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -163?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-4\/9))**(-12) assuming q is positive.\nAnswer: q**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q**3 + 685*q**2 - 650*q - 4080 = 0.\nAnswer: -2, 3, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4812 and 2765296.\nAnswer: 8295888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(162) - sqrt(162))\/sqrt(9) + 4 + sqrt(162))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence szz when three letters picked without replacement from {s: 3, r: 1, z: 4, f: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 766 + 43*z**2 - 27*z**2 + 3*z**3 - 14*z**2.\nAnswer: 3*z**3 + 2*z**2 + 766","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (14 - (21 - 15)) + 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 9:18 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1190 - 590. Is m a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1723 - -1739. Solve 0 = 47*x - 42*x + 5*f, -3*f = -x - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43403 (base 9) to base 4\nAnswer: 13001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125650?\nAnswer: 2, 5, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of 1\/15*d**6 + 44\/15*d**3 - 64\/5*d - 32\/5*d**2 + 31\/10*d**4 + 67 + 4\/5*d**5. Find m, given that y(m) = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -2*r**3 - 20*r**2 + 162*r + 180 = 0?\nAnswer: -15, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 11. Suppose -3*s = b*v - 10, 0 = 2*v + 2*v - 2*s - 20. What is the smallest common multiple of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.60575um to kilometers.\nAnswer: 0.00000000560575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -876896.87 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(4860) - (sqrt(4860)*-1*1 + sqrt(4860))))\/(1*sqrt(48)\/(sqrt(4) + sqrt(4)*1*4)) + 2.\nAnswer: 2 + 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -14*o + 27. Let k be m(2). Let z(p) = -343*p**3 + 3*p**2 + 3*p + 1. What is the units digit of z(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m + 2. Let t(z) = -6*z - 4. Let h be (-28)\/(-16) - (-3)\/(-4). Suppose -3*n + h = 22. What is n*y(f) - 3*t(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -595 + 1522 = 88*k + 4316 + 2243 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*w**2 - 13*w**2 - 9*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {h: 9, i: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*o + 14 = 62 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkdkdkk. What is prob of sequence kddk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2862 - 2858. Solve 50\/3*w**4 + 16\/3 + 56\/3*w - i*w**2 - 110\/3*w**3 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -3 + 5 - (0 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 114515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 10428 = -21972. Suppose 842 = 2*x - t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m - 6*l + 35, 20*l = -2*m + 10*l + 62 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (8\/(-3) - -2)\/(4\/(-294)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/21, 6, -0.7, -1, 2\/15, 14 in ascending order.\nAnswer: -1, -0.7, 2\/21, 2\/15, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 times -15.6?\nAnswer: -2.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 a, and 2 o when four letters picked without replacement from {a: 4, r: 2, o: 1, h: 1, t: 4, m: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, 1494 in descending order.\nAnswer: 1494, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 14 + (-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 75*i - 72.\nAnswer: -3*(i - 24)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, q: 7, a: 1, x: 1}. Give prob of picking 1 a, 2 i, and 1 q.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35632 by 1048.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 47330 + 47370 = 0. Let b be 1 + -1*(-11 + 0). Suppose b = 3*l - 0. Is l not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -1\/105*g**7 + 4\/5*g**5 + 0 + 0*g**6 + 25\/6*g**4 + 0*g - 212*g**2 + 0*g**3. Find the second derivative of v(h) wrt h.\nAnswer: -24*h**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**4)**(-9\/4))**(-3\/14) assuming a is positive.\nAnswer: a**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k**3*m + 615*k*m + 9002*m wrt k.\nAnswer: -3*k**2*m + 615*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nffn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 313*c**2. Let a(u) be the third derivative of -u**4\/8 + 378*u**2. Give y(a(l)).\nAnswer: 2817*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (32\/6)\/(4\/132). Suppose 6*b + l + 118 = 0. What is the units digit of (6 + b + 6)*(-2 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 0.2, 2517659, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c + 1. Let j(p) = p**3 + 6*p**2 + 6*p + 7. Let b be j(-5). Let k(z) = z**2 - 2*z + 3. Determine b*r(x) - k(x).\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {u: 1, y: 12, s: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2 + 5*j + 20. Let t(q) = -2*q**2. Give s(t(v)).\nAnswer: 8*v**4 - 10*v**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) + -5)*-6 - (5 + -1 + sqrt(833) - sqrt(833)))**2.\nAnswer: -2184*sqrt(17) + 30664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8) - sqrt(64)\/sqrt(2))\/(sqrt(324)*3)*4 + 5 + -2 + -1)**2.\nAnswer: -16*sqrt(2)\/27 + 2948\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 945 and 3115?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u\/u**1)**(-15)\/(u**(2\/3)*u\/(u*u\/u**8*u*u)*u))\/((u**(-1\/3)*u)\/u**(-1\/5))**(-42) assuming u is positive.\nAnswer: u**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 2, 7, -654 in descending order.\nAnswer: 9, 7, 2, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29734913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 5*t**3 - 19290*t**2 - 4808105*t - 4788810 = 0.\nAnswer: -234, -1, 4093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9288 by 774.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**3 + 39*x**2 - 29*x - 380. What is q(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/19 - 4\/38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p + 3*p - 2*p + (-3 + 1 + 0)*(3*p - p - 4*p) + (-4*p + 2*p + p)*(-3 + 7 + 1).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68 + 2. Suppose 2*m = u + 70. Suppose -14*s = 819 - 1029. Calculate the remainder when m is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -35 + 41, 3*j - 5*x + 24 = 0. What is the nearest to 1\/5 in j, 20\/3, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/76 and -14\/569?\nAnswer: 43244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27 + 419*s + 14 - 816*s**2 - 64*s**2 + 13 wrt s.\nAnswer: -1760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 219*d*k**2 + 213*d*k + d wrt k.\nAnswer: 438*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 76*f**3 - 10888*f**2 - 4246749*f wrt f.\nAnswer: 456*f - 21776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -19. Let r be (-1)\/(-3)*h + 1. Let p = -5 + 1. Which is the closest to 0?  (a) r  (b) 2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k**2 - 13*k + 5. Let a(n) = -2*n**2 - 13*n + 5. Let b(w) = -4*a(w) + 3*o(w). Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - -1221?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(-2\/81)*f))\/f**0*(f**(2\/23))**(4\/17) assuming f is positive.\nAnswer: f**(1430\/31671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6462 + -3003. Let w = j + -3456.591. Let g = w - 0.419. Round g to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1012 - 4?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-149)\/285 + (44\/6)\/(-11). Let h = -15\/19 - y. Let 8\/5 + 16\/5*n + 2*n**2 + h*n**3 = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -7 + 27*j - 16*j - 10*j + 7. Let l(u) = -372*u. Calculate l(z(q)).\nAnswer: -372*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -2 + 1\/2*r**2 - 4\/3*r**3 + 1\/4*r**4 - 2*r. Is u(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.433 - -0.033. Let n = q - -12.3. Let v = -6 + n. Which is the second smallest value?  (a) v  (b) 4\/3  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 3*p**2 - 3*p - 10. Let h be u(4). Put h, -3, -2, -5 in descending order.\nAnswer: -2, -3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*n**2*s*u**3 + 5*n**2*s*u**2 + 37*n**2*u**3 - 4*n*s + 2*s*u**3 - 2*s*u**2 - 2*s wrt u?\nAnswer: 12*n**2*s + 222*n**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -76.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1337*v = -43139 - 2319 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4305 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, i: 12}. Give prob of sequence ilil.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 30\/(-35)*(-14)\/3. Let g(l) be the first derivative of -l**2 - 1\/3*l**6 + 0*l + 0*l**5 + 0*l**3 - 1 + 0*l**t. Find the second derivative of g(y) wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.425 + 15.67\nAnswer: 15.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 24 + 9 = 0. Let f(n) = n + 3 - 1 + p. What is the units digit of f(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1147 by 16996.\nAnswer: 1147\/16996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (887 - 889) + (-3 + 3 - -24 - -3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (49\/45)\/(-7) - 48\/108\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -6*w - 10. Let l be z(-4). Let t be (-2 - -1)\/(3\/69). Let a = t + 33. Solve -c + 5*b - 4 = -l, 2*c = -5*b - a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0*(30\/(-6))\/10)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3674)\/(-42) + (-1)\/7)\/(-4). Let c = -1517\/66 - m. Calculate the common denominator of ((-2)\/(-9))\/1 - 605\/(-90) and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z = 19*z + 60. Let g be 2\/10 + z\/25. What is the third biggest value in -2, g, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27128595?\nAnswer: 3, 5, 13, 139121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4559871 is divided by 506652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -3. Suppose -2*d + 39 - 9 = o. Suppose 0 = 3*y + d - 39. What is the greatest common factor of 56 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4056 - -4286. What is the remainder when l is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12*320\/2688)\/(5*2\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 35 = -10*z. Let a be -2 + 2 - -1*2. Solve 4*h - q + a*q = -15, 4*h + 24 = -z*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**4\/2 - 3*l**3\/2 + 2*l**2 + 6*l = 0?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**2 - 9*o**2 - 290 + 154 + 136.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -175722987*o + 175722987*o + 33*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + 2*(0 + sqrt(325)))*-5.\nAnswer: -75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (246\/17630)\/((-3)\/(-10)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3822, -2318, -814, 690?\n\"Answer: 1504*c - 5326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -174730022 - -304023015. Let r = -183492993 + f. Round r to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 2. Let o be -3 + (8\/(-7) - -4). Which is the smallest value?  (a) o  (b) -4  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2227*i**3 - i**2 + i + 1. What are the prime factors of g(1)?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1733 + 1031 = -9*m. Is m at least as big as 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 403 and 559519.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 2026 = -3*p + 1129, y = 5*p - 631. Let v = -470 - y. Calculate the greatest common factor of 207 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from anaaaaanaaanaa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104 - (146 + -156 + (-3 - 10)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -1. Let s = -397370 + 397358. What is the nearest to m in 0.5, s, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 AM and 7:29 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 10. Let p(d) = 4*d**2 - 3*d - 2. Let g be p(-2). Suppose -5*s = -b*q + g, 5*s = -0*s - 4*q + 25. Solve 3*j - s = i, -3*i = -i + 5*j - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35 + (-37099)\/1058)\/(9\/(-24)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2278*s + 32513 = 85*s + 183745 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1240.54003889 - -0.2792.\nAnswer: -1240.26083889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*n + 77 - 233 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -270 + 20. Does 20 divide v\/(-3)*18\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 3. Let f(q) = -6*q**2 + 6*q. Let i(r) = 126*r + 128*r + 130*r + 132*r - 517*r. What is z*f(w) + 6*i(w)?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 - (-1)\/(-3*2\/6). Suppose 4*l - 334 = -2*f + l, f - z*l = 158. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -143 - (-89 + -18 + 65).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**2 + 28*z - 39. Let w be k(-16). Let g(j) = 3 - 23*j - w*j + 47*j. Let o = 6 + 0. What is g(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3815 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**5\/9 - 8*f**4\/9 - 7*f**3\/9 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-12)*c**(-2\/27)*(c**6)**(-2\/93) assuming c is positive.\nAnswer: c**(-10214\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 84 + -60. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a factor of 223626333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 14.2. Let t = -13.9993 - k. What is t rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 10 = q, 0 = b - q - 5 - 1. Suppose 10*x + 35 = 3*x. Put x, b, 1 in increasing order.\nAnswer: x, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18519 is divided by 193?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 728111097.\nAnswer: 3, 7, 11557319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2644470, -10577863, -23800182, -42311427, -66111598, -95200695, -129578718?\n\"Answer: -2644463*h**2 - 4*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.18 and -0.0481.\nAnswer: 0.1319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 17 - 41 + 32 = 0, 192 = -46*r + 2*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -484.775 times -0.086?\nAnswer: 41.69065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13250 and 639710?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4 - -1)*(-18278)\/(-130). Suppose -6*u - 175 = -c. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*b - 2*b - b)*(7*b - 5*b + 6*b) as t + j*b + m*b**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*r = 11 + 12, 4*x = 5*r + 13. Let f be -1 + x - (-6 + 8). Solve o = u + 2, f = 3*o - o + u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -2)*-3*5\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xeekgxivegivkvivex. What is prob of picking 2 k and 2 v?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2117 - 2115. Let p(t) be the second derivative of 1\/12*t**4 - 1\/6*t**3 - 20*t + 0 + 0*t**k. Factor p(r).\nAnswer: r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 17*l = -236, -69*h + 5*l = -66*h + 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 136 - 678\/5. Let i = 7.38 - 7.48. Put s, 0, i in decreasing order.\nAnswer: s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 h, and 1 y when three letters picked without replacement from kokokckooyhkohkk?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 88 + 228. Suppose -2*g = 4 - 18. Suppose -r + 3 = 2*n - 4, r + 4*n = g. What is the greatest common factor of r and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8416010103054 take away -0.3?\nAnswer: 8416010103054.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 6 = -p - 4*p, 5*o - 3*p + 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1058330405, -1058330407, -1058330409, -1058330411?\n\"Answer: -2*w - 1058330403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2984 or 11941\/4?\nAnswer: 11941\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1631496, -1631498, -1631502, -1631508?\n\"Answer: -r**2 + r - 1631496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/10)\/((-4)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.194982 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.03 smaller than 41\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -162?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 501541274 to the nearest integer?\nAnswer: 22395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -747, -945, -1239, -1623, -2091, -2637?\nAnswer: -3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10927)\/(-532301))\/(3\/186)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -7 + 1\/(-2) + (-10503)\/(-54) and 153?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*m**2 - 11444*m**3 + 11413*m**3 - 2 - 2*m**4 - 50*m + 52*m as f*m**3 + d*m + u*m**4 + n*m**2 + t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 436, 3195, 10668, 25213, 49188?\nAnswer: 84951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 - -30. Suppose 0 = -5*k + 13 + w. Suppose 3*m - 4*c - 20 = 0, c + 0*c + k = -2*m. Solve -d + 1 = m, d - 4*d = 5*b - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3304009 - -3303746.99355. Let t = n - -262. Round t to 4 dps.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 386 = -383. Find the third derivative of 13 - 66*k**w - 11 - 60*k**2 + 53*k**2 wrt k.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/5)\/(8\/40). Suppose 0 = k*l + 3*q - 9, 4*q - 2 + 14 = 4*l. Solve -4*p + m - 5*m = -4, -3 = -l*p - m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 64*q - 944. Let x = -71 + 127. What is the remainder when x is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t - 4*n - 17, -126*n + 46*n + 79*n = 2*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of b**8\/1344 - b**6\/720 + b**5\/120 - 13*b**4\/12 - b. Let k(i) be the third derivative of h(i). Is k(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1519)\/49*1)\/((-6)\/3)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3197 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*r = -26*r + 28 + 8 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 53147231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 = t - 5*m, -16*t + 3*m = m + 38 - 38 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*y - 2*m + 28, 0 = 3*y - 5*m - 22. Suppose 5*p = -3*i + 36, 0*p - 2*p - 3*i + y = 0. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18182*g**2*v**3 - 91*g**2*v + 2509*v**3 + 11*v**2 + 9*v with respect to g.\nAnswer: 36364*g*v**3 - 182*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -11. Suppose y*o - 1004 = -o. Let f = -136 + o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 147 or 443\/3?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 8 = -4*u. Let v(s) = 104*s + 1046. Let p be v(-10). Is u <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 81 - 18*b**3 - 3*b**4 + 13*b**3 - 4*b**3 + 3*b**3 + 4*b**3 in the form l*b**2 + j + q*b**3 + k*b**4 + s*b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 104 + -95. Suppose -n*h**3 + 49*h**2 - 13*h**2 + 43*h**2 - 20*h**2 + 8*h**3 = 0. What is h?\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 905950?\nAnswer: 2, 5, 18119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 11*q**2 + 14*q + 22. Let r be x(-12). Which is the closest to r?  (a) 0.5  (b) -1\/2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35.4 - 35.2. Let m = -0.1 - -1.7. Let f = 1.46 - m. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/34*(-98)\/22*36\/126.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence khh when three letters picked without replacement from khhhkhhh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 34\/6 + (-2)\/3. Solve -3*l = -9, 4*t = -0*t + w*l - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -5, 63, 5, -3, 2 in descending order.\nAnswer: 63, 5, 2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**2 - 3544788*s - 10634337 = 0. Calculate s.\nAnswer: -1181593, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4303216996 to the power of 1\/3, to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 3*x + 5 = 0, -7*u + 4*x = -2*u - 9. Solve u = 2*t - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 65*y - 1429. Let f be i(22). Let k(q) = q**3 - 3*q**2 - 2*q - 4. Let z be k(4). Solve z*o = 21 - f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 19*k**5\/20 - 29*k**4\/12 - 19*k. Find the third derivative of d(c) wrt c.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - -8. Solve 0 = i - 4, 3*v = i + i - q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*c + 224*c - 4*o = 27, -3*o = 16*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 + 35*c + 5. Let n be u(-35). Suppose 0 = i + 1 - 5, n*i = -3*p + 26. Calculate the highest common factor of p and 176.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -348 - -350. Solve 3*m = -l + 2*m - 4, 2*l - 3*m - c = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*o + 4*a + 2, 5*a - 3 = -3*o. What is the third derivative of 19*r**6 + 17*r**2 + 0*r**2 + 2*r**2 - 5*r**o wrt r?\nAnswer: 1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = d - 3. Suppose -14 - 22 = d*f. Let y be ((-80)\/f)\/(6\/81). Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 26095684.\nAnswer: 130478420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1355 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 43. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 10:45 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*k*u*v**2 - 2*k*u*v + 6*k*u - 11*u*v**2 + 113 wrt v.\nAnswer: -10*k*u*v - 2*k*u - 22*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 26\/15 + (-147)\/((-19845)\/(-5076)) + 36\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190503598 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25685473?\nAnswer: 11, 19, 59, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of -u**3 + 0*u - 1\/140*u**5 + 0*u**2 + 1\/1260*u**6 + 7 - 1\/21*u**4. Let x(z) be the third derivative of f(z). Factor x(s).\nAnswer: 2*(s - 4)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1865\/4, 0.04, 12, -5 in increasing order.\nAnswer: -1865\/4, -5, 0.04, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**5\/5 - 2136316*h**4\/5 + 23499318*h**3\/5 - 89724476*h**2\/5 + 27344576*h - 68361408\/5 = 0 for h.\nAnswer: 1, 2, 4, 1068147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(500) + sqrt(500)*3)*1)\/sqrt(10))\/(-6*sqrt(80)\/(sqrt(56)\/sqrt(7))).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 59*l - 1110. Let s be v(19). Solve -n - s = 2*w - 16, -4*n = 4*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 0\/((-20)\/4) + 17*(28 - -4) is divided by 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 5*s**2 + 36*s + 2. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 15 = 5*l, 3*v + 4*l - 10 - 2 = 0. Suppose 5*i = -v*i + 175. Let p be ((-30)\/(-9) - 3)\/((-2)\/(-30)). Calculate the greatest common factor of p and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 = 158*f - 207. Suppose 4*p + 21 = u - p, 17 = 5*u - 3*p. What is the nearest to -3 in f, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 384 - 1519\/4. Suppose t + 10 = 3*s, 0 = 3*t - 2*s - 5. Is k < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + j)*(2 - 3 + 3)*(5*j - 15*j + 6*j)*(2 + 0 + 0) + (-3*j - 2*j - 5*j)*(-j + 7 - 7) to the form m + p*j + x*j**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/4050 and 109\/447150.\nAnswer: 12073050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7535 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 63\/189*(-24)\/28\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 32*t - 145. Let s(c) = 698*c + 4193. Let l be s(-6). Determine r(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3*u + 1 - 5*u)*(-1312 - 1273 + 988) to s*u + m and give s.\nAnswer: 3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 224815152 divided by -16.\nAnswer: -14050947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -12. Suppose r = -2*u + n + 5, 4*r + 2*u = 24. What is the third derivative of -11*h**5 + h**r + 3*h**6 - h**2 + 11*h**5 wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 420227 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(8) + (4*(sqrt(8)*-1 + sqrt(8)) - sqrt(8)))\/(sqrt(12)\/(sqrt(3)*3))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (970\/(-21340))\/(4*(-48)\/32*(-4)\/(-6)).\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -852 (base 10) to base 15\nAnswer: -3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of -17*v**7\/30 + v**6\/120 - 256*v**3 - 4*v**2 + 198*v. Differentiate u(n) wrt n.\nAnswer: -476*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 10:34 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 5*l**2 + 6*l + 5. Let y be z(-6). Suppose 2*w - y*p = 21, 4*w - 36 = 3*p - 1. Solve -4*n + 5*u = 13, 3*n + 0*u + w = 2*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 419373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -701*w + 8. Let d = 0 - -4. Let m be (0 + 8)\/(5 - d). Let j be z(m). What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 22628096 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4454 or 4331?\nAnswer: 4454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3454, 3541, 3624, 3703, 3778, 3849, 3916?\n\"Answer: -2*x**2 + 93*x + 3363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*o**2 - 20*o**2 - 10*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 16*v**2 + 7*v - 10. Let s(y) be the first derivative of -5*y**3\/3 - y**2 + 3*y - 24. Determine 7*s(q) + 2*u(q).\nAnswer: -3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3494 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: Let p(j) = -2*j**3 + 5*j**2 - j + 8. Let m(l) = -l**3 - l**2 + 1. Let f(c) = -m(c) + p(c). Let w be f(6). Suppose n = 2*n + w. Is n equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a + 6*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14494066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 659987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(700) + 1)*5 + sqrt(700) + 4 + sqrt(700) + sqrt(700) + -1 - ((sqrt(700)*1*-1 - sqrt(700)) + -4))*1)**2.\nAnswer: -350720 - 12000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 153, -1090, 0, 3 in decreasing order.\nAnswer: 153, 3, 0, -2, -1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-9 - (0 + 0) - (264 - 292))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3250799 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34*(-9)\/60)\/(33*(-84)\/(-4620))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -158961*p*r**2 - 5819*p*r - p + 2*r**2 - 10 wrt r?\nAnswer: -317922*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 32*s - 10 = 30*s, -4*s = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61100*i - 61116*i = -112. Solve 19 = -i*t + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -64\/7, 0, 1?\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 AM and 10:36 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1\/4  (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.00769 millennia in years?\nAnswer: 8007.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*s + 13925 = 2277 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.51 and -0.2.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 3*x - 12, -16 = -2*p + 12*x - 16*x. Solve 4*l + 2*r - 2 = p, -r + 4*r - 4 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769007769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-14) - ((-6864)\/28)\/(-22). Let a(p) = -p**3 - 11*p**2 - p - 7. What is a(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8245338ug in tonnes?\nAnswer: 0.0000000000008245338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 0 + 0*g + g - 1. Suppose -3*p = -3*a - 12, -2*a + 0*a + 6 = 0. What is the units digit of y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 9, -142, 146 in ascending order.\nAnswer: -142, -2, 9, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -450799\/3 + 150267. Find i, given that 1\/3*i**4 - j + 1\/3*i**2 + i**3 - i = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22011458, 22011430, 22011402, 22011374, 22011346, 22011318?\nAnswer: 22011290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/13 and 76\/32837649.\nAnswer: 32837649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -5190*l - 17. Let t(d) = -d. What is t(h(q))?\nAnswer: 5190*q + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 6*(1 + sqrt(108) + 2 + sqrt(108) + -3 + (-2*sqrt(108)*-6 - sqrt(108)) + -2))**2.\nAnswer: -10296*sqrt(3) + 657193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {o: 2, g: 2, e: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/993621 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - 6 + 6)*(-3*r + r + r) - 163 + 180*r**2 + 0*r**3 - 2*r**3 + 162.\nAnswer: -5*r**3 + 180*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 5*g = 0. Suppose g = -4*j - 4*b, -2*j = b - 1 - 1. Suppose 0*u + 20 = u + j*o, 5*o = u - 13. Solve t = -3*t + 2*f + u, 0 = t - 3*f - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 11:19 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 - -0.4. What is the second biggest value in -5, 4\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 216669*h**2 - 2*h**3 - 216669*h**2 - 4 in the form c + r*h**2 + a*h + k*h**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38.24 + 38.14. Let f = 2 - 4. What is the closest to 1 in f, -2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*h + 78 = 623, 5*c - 915 = -5*h. What is the remainder when c is divided by 107?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709871.2 rounded to the nearest one thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 2*k. Let m(u) = 58*u**2 + 9*u + 3. Let h(o) = m(o) - 4*s(o). What is the units digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/32384 and -21\/253?\nAnswer: 32384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + -100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359 is divided by 85?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -w + 610, -8*v + 7*v - 3*w = 159. Suppose -3*u - 816 = -0*u. Let x = v - u. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a. Let g be o(2). Suppose 3*d = -d + 3*u + 47, -g*u + 6 = 0. Calculate the smallest common multiple of d and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9762, -39098, -87994, -156450, -244466, -352042, -479178?\n\"Answer: -9780*r**2 + 4*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202 (base 10) to base 3.\nAnswer: -21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, q: 3, z: 13}. Give prob of sequence hqzz.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 16*y + 221. Let a(o) = 2*o - 1. Let g(h) = -5*a(h) + v(h). What is the hundreds digit of g(44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3858?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 673536, 1347072, 2020608, 2694144, 3367680?\nAnswer: 4041216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 2*j - 4 - 6, -3*j = 5*w + 11. Let p be 486\/12 - (35\/10 + -2). Let d(y) = -9*y - p*y**j + 38*y**3 + 9*y. Give d(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2687*a**4*c + 133919*a**2*c**3 - 203*a*c**3 - 1484192 wrt a?\nAnswer: -32244*a**2*c + 267838*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*z = -123 - 311 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 109633330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 20102 + 5?\nAnswer: 20107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 5*p**2 + 5*p + 8. Let t be h(6). Suppose -1 = -t*m + 1. Suppose 1 + m = k + x, 0 = 5*k - x + 2. Solve -6 = -k*r - 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 437 + -296. Let j = -185.5 + d. Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 942*-364.\nAnswer: -342888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + -2*sqrt(396) + 0)**2*-4 - ((-5 + sqrt(396)*-1 + sqrt(396))**2 - (-1*sqrt(396) + sqrt(396) + sqrt(396))**2*-5).\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - -15202.7149.\nAnswer: 15203.0149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2*z + 0*z + 0*z + (4*z + 1 - 1)*(-6 - 3 - 1) + (2 - 1 + 1)*(2*z - 3*z - z) in the form n*z + i and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 49674\/7 + -7096. Suppose u*w**3 + 4\/7*w - 6\/7*w**2 + 0 = 0. Calculate w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 117 and 96512.\nAnswer: 868608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 5. Suppose -p = p - 6. Let w be 0*(1 + p)\/(-8). Solve -4*l + 2*l - i + 6 = w, y*i = -6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1.2, 2, -17\/5, -3\/2?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8566158 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6, 32, 76, 138?\n\"Answer: 9*d**2 - d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 24347*i + 413899. What is r(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 89.839261411 from 0.1.\nAnswer: -89.739261411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86523.\nAnswer: 3, 151, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - (-360)\/(-50))*(26 + 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + j**2 - 1 + (-5*j + 5*j + j)*(-j - 3*j + j) + 4*j**2 - 3*j**2 - 3*j**2 + (2*j - 5*j - j)*(-j + 0*j + 3*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 + 3*j - 44. Suppose -2*f - 5*o + 27 = 0, 5*o + 7 = 3*f + 4. Let s be l(f). Solve s*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 3725*p**2 + 11268*p**2.\nAnswer: 14993*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -769*c**2 - 3*c + 22. Let f(d) = -257*d**2 - d + 8. Calculate -11*f(t) + 4*l(t).\nAnswer: -249*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1420 + 2041. Suppose 4*g + 57 = 2*x - o, -3*g = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 23*s**2 - 7*s - 11. Let b(f) = -12*f**2 + 3*f + 5. Let d(x) = 9*b(x) + 4*c(x). Determine d(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**2 - 2578*d - 1470552 = 0. Calculate d.\nAnswer: -1726, -852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 3:02 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -9*u + 65. Let x(k) = -3*k + 22. Let y(i) = 4*d(i) - 11*x(i). Suppose -25 = -4*p - 5. Let w be y(p). Solve -r - w - 1 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y**3 + 4*y - 4*y + (34*y - 28*y + 55*y)*(3*y**2 - 2*y**2 + 11*y - 9*y) to h*y + t*y**3 + m + k*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 44*j + 165. Give r(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*q - 30*q - 10 = 0. Is 33 a factor of q\/(-10) + (-6903)\/(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21744181 + -21744170.058799. Let l = o - 14.1511843. Let z = -3.21 - l. Round z to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 710\/4*(-3304)\/(-590) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -15, 4, -4, 10.\nAnswer: -15, -5, -4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3170 and 13?\nAnswer: -41210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 342 and 10146?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 108 - 103. Suppose -68 + 73 = -c*n. Let y be n + 5\/(-15) + 38\/6. Solve q = 3*q + y*j - 5, -14 = -2*q + 4*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5741505 and 39768?\nAnswer: 45932040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101110001101100101 (base 2) to base 9.\nAnswer: -317576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 510\/4 - 12\/8. Calculate the greatest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -104 + 523. Suppose -s - t = -413, -t + 5*t = -s + x. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*(0 - (-2)\/2). Suppose t + 3*s = 2*s + 7, -4*t + 2*s = -l. Suppose -5*a = -t*a - 86. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 23*b**2 + 21*b - 32. Give t(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o**(2\/51)\/o))\/o)\/(o\/(o\/(o*o**(-1\/40)\/o))))\/(o**(-12)\/(o*o**(-26))) assuming o is positive.\nAnswer: o**(-24509\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6939?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 63. Let p be 21\/b*(0 + -48). Let x = p - 16. Sort 6, 2, x in decreasing order.\nAnswer: 6, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 PM and 6:19 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -10*a**2 + a + 3. Let d be u(4). Let k = 344 + d. What are the prime factors of k?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + v + 1. Let x(f) = -3*f**3 - 5*f**2 - 6*f - 6. What is 5*u(p) + x(p)?\nAnswer: -3*p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 14) in base 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 8) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-246)\/(-9))\/((-1 + 2)\/3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-7\/3)*y\/(y\/y**(2\/7))*y*((y*y*(y\/y**(3\/14)*y)\/y)\/y)**(-22))**(2\/17) assuming y is positive.\nAnswer: y**(-242\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 105407510 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 735*f - 8831. What is the tens digit of k(48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 3, -8\/7, 0.1, -138 in descending order.\nAnswer: 3, 0.1, 0.04, -8\/7, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 27446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564982.\nAnswer: 2, 11, 61, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1402, 21, -30, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**3 + 16*c**2 = 0 for c.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*s + 3*u = 45*s + 12, -s = -2*u - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 4*d + 5. Give o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -21856 + 6\nAnswer: -21850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -6. Are g and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -5, -2\/13 in ascending order.\nAnswer: -5, -2\/13, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - 9741?\nAnswer: -9730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2268 divided by -324.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000016481436 rounded to seven decimal places?\nAnswer: -0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2415807494 from -3285.\nAnswer: -3284.7584192506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/81 and 71\/90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 29810 divided by 5962\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from btqrppbtsptq. What is prob of sequence btr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 288568557 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 - 425 = -200*a. Let z be 2 - (2 - 2\/15). Let -z*u**a + 4\/15*u - 2\/15 = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 343*r - 44647. Calculate p(132).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/1 + 4 + -1. Let s = 3 - z. Let l(k) = 8 + k - 7 + 1 + s. What is l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -5*m + 35, -2 = -c - 1. Is 9245 + m + 1 + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -52, -826, -2898, -6910, -13504, -23322, -37006?\n\"Answer: -107*g**3 - 7*g**2 - 4*g + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(1 + -4 + 1). Find the third derivative of k*h**2 - h**4 + 2*h**2 - h**4 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5301, 3901, 1569, -1689, -5867?\n\"Answer: m**3 - 472*m**2 + 9*m + 5763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + k + 2*k + 1489 = 0, -749 = -2*q + 3*k. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -7*k + 8. Is 30 a factor of f(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 - 37) + -49 + 154.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 10, -64 = -2*v + v - 4*y. Suppose d + 0*d + 4 = 4*f, 3 = -2*d + 3*f. Suppose d = -5*o + 309 - v. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 112828997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 170 and 17689.7.\nAnswer: 3007249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*0.41.\nAnswer: -2.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27297 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(-4) + -16 - 4\/2. Is j at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 4  (b) 3\/8  (c) 163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 93.6 + -105. Let i = -11 - m. Let l = 1 - -6. Put 1, i, l in ascending order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43797*x**5 - 6*x**2 + 217*x - 21 wrt x?\nAnswer: -2627820*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(425) + -2.\nAnswer: -3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29)\/87 - (-79 + -4 + (-60)\/(-36)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5505 and 417279?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + j + 12. Determine c(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -7*b**3 + 1. Suppose -2*w = -7*w - 5. Calculate the lowest common multiple of 4 and o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -w + 3. Suppose -s + 4*t - 7 = 0, 7*t - 23 = -4*s + 6*t. Suppose s*x - 76 = -4*i, -2*x + i + 13 = -20. Solve 5*f = -5*u - x + 6, -u - 3 = w*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q + 10. Let n be t(-6). Let d(v) be the second derivative of v**4\/12 + 4*v**3\/3 + 9*v**2\/2 + 5*v. Calculate d(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 181 + -177. Put -5, x, -4 in descending order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 0*f - 2*f**3)*((4*f**2 - 3*f**2 - 2*f**2)*(1 + 4 + 0) + 218 + 94*f**2 - 218).\nAnswer: -178*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - -2 - (-36 + 209\/5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/20*((-6)\/12 + -7). What is the closest to 3 in 0.3, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 9 - 36. Let g = o + 5. Is (g\/12)\/((-2)\/354) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r + 3*r + 0*r - 14*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 8.97, -903, 0, -4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 33 + 234300435?\nAnswer: 234300512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u**4 - 71312*u**3 + 21*u**2 - 4*u**4 + 71314*u**3 - 40 - 22*u + 0*u**2 = 0. What is u?\nAnswer: -4, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, u: 3, z: 4, d: 2, y: 2}. What is prob of picking 1 u and 1 z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/838127 or -1?\nAnswer: 2\/838127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -179 - -1971\/11. Let d = 26 - 25.9. What is the third biggest value in s, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 969 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 7:24 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1954 + -19629\/10. What is the common denominator of f and -37\/529?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 4077*c - 617. Does 17 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/3, 5, 0.3, -47.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 4*d - 84 = 0. Let y be (-118)\/(-5) - 4\/(-10). Suppose 0 = 2*i + 2*i - y. Calculate the remainder when d is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70345, 70357, 70389, 70435, 70489?\nAnswer: 70545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 154*v**2 + 4434*v + 261111. Calculate r(-171).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 119*g + 105*g - 18369 - 81087. Calculate the remainder when g is divided by 389.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3257950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(3\/17)\/f)\/(f*f*(f*f\/(f*f**(-6))*f)\/f*f*f*f))\/(f*f\/(f\/(f\/(f*f\/f**5)))*f)**(10\/11))**44 assuming f is positive.\nAnswer: f**(-13672\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*t, 4*t = -y + 6*y + 2. Suppose 4*u + 16 = -y*l, u + l = 3*l - 4. Let x = 8 + u. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12\/2*-1)\/(-2). Suppose 21 = -l*g - 0*g. Let s(r) = r**2 + 6*r - 8. Let c be s(g). Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -b + 4*c, -5*b - 2*c - 10 = -7*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of n**6\/720 - n**5\/60 - n**4\/24 + n**2. Let v(j) be the second derivative of k(j). Suppose -2 + 4 = w. Give v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8 and -0.041369.\nAnswer: 0.0330952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 2 = 4*b, -b + 0 = 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -5*u**3\/4 - 55*u**2 + 24435*u\/4 - 99225\/2 = 0.\nAnswer: -98, 9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 52)\/(-6 + 3). Suppose 8 = -3*g - 4*m + 1, -5*m - y = g. Suppose -6 = -g*p, 2*l + 8*p - 4*p - 28 = 0. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 26  (b) 8  (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/9, -434820.\nAnswer: -434820, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4401422+-0.175044723\nAnswer: -4401422.175044723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d**2 + 3*d + 3. Let o(m) = -5*m + 8. Let c be o(2). Give q(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/(-35) + 8\/(-28). Let b = -22 + 22.25. Let m = 0.15 + b. What is the nearest to -2\/5 in -0.4, g, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*p + 15819 + 7756 = 0. Let d be (-2)\/(-5)*2050\/(-30)*-3. What is the highest common divisor of p and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - g + 6, u = 4*u - 5*g + 4. Let z(s) be the third derivative of -s**4\/8 + s**3\/2 - s**2. Give z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -93 + 96. Suppose -3*m + 4*x = 2*m + 6, -3*m - 6 = -s*x. Suppose 131 = m*a + 13. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 2 = -22*y + 24*y, o - 5*y = 3*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*6*(7 + (-18)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15786?\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -823, -1657, -2491, -3325, -4159, -4993?\n\"Answer: -834*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60061925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18046.\nAnswer: 2, 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 27, 54, 97, 162?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 3. Let u(l) = 2*l**2 + 4. Let g(h) = -5*r(h) + 4*u(h). Determine g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 6*w**2 - 8*w - 1. Let x be c(-6). Suppose -5*p - x - 78 = 0. Calculate the common denominator of ((-5)\/p)\/(4\/870) and -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84870 and 46012742.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -799 minus -28?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 93429588 divided by 2614\nAnswer: 35742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 71, 52, 21, -22, -77?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011110111111010001000 - 1?\nAnswer: -10011110111111010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 4*d. Let v = -3 - -8. Suppose 0 = h + o + 5, -5*o = 2*h - 4*o + v. Let g(c) = 2*c**2 + c**2 - c**2 + h*c**2. What is g(i(t))?\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -4*k**2 + k + 2. Let a be s(1). Let g(c) = -2*c - 2*c**2 - 4*c + 3 + 0*c - 3*c**3 + 7*c. Let q be g(a). Solve 0*x - 12 = q*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 211 + -113. What are the prime factors of 4 + -6 - (2 - t)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -889 - 927 - 867 - 882 + p - 3*p + 3398.\nAnswer: -2*p - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(8\/9)*m**0)\/((m\/(m*m**9))\/(m\/(m**(-3\/5)*m))) assuming m is positive.\nAnswer: m**(472\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3*q**2 - 50*q - 100. Calculate r(19).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26.52 and 5138?\nAnswer: 136259.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-39) + 2\/13. Let w = 2 + -1. Let m be n - 1\/(-2)*w. Is 2 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 171 + -2?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 + 100*n**2 - 265*n + 170.\nAnswer: -5*(n - 17)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -2892247013 to the nearest 100000.\nAnswer: -2892200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d + 18. Let i be q(10). Let u(s) = -5*s - 1. Let n be u(i). Let r = -493\/12 - n. What is the second smallest value in -0.1, r, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -3*h**2 + 1393143*h + 11145336 = 0.\nAnswer: -8, 464389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 4*v = -16, m - 2*v + 2 = v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -33*c + 39*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 5*z - 3)*(6 - 4 + 0).\nAnswer: 10*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 53190738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 5*v - 14820, v + 3*y = 2*y + 2960. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 1 = 3*r. Suppose r*m = -m + 12. Suppose -m*k + 121 - 33 = 0. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/7 + 554*a**2\/7 - 248*a - 2240.\nAnswer: 2*(a - 7)*(a + 4)*(a + 280)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (64 - 58) + (-1 - 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of j**3\/3 - 5*j**2\/2 - 273*j + 2090. Calculate u(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 3*g - 34. Let s be z(13). Suppose 4*b - 4387 = 3*y, 0*y - 5*y + 5475 = s*b. List the prime factors of b.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2200601 (base 7) to base 14.\nAnswer: -70171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 10*f + 143. Let x be z(-17). Let a be 0 - 26 - 4\/(-2). Let h = a - x. Solve 0*q = -h*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -4, 0.068, 0.035, 0?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20578.3 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 11*h**2 + 6*h + 7. Let y be s(-9). Suppose y + 191 = 17*q. What is the remainder when 250 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 5. Suppose 4*z = -2*q - 696, j*q = 3*z - 2*z + 181. Let k be (-1200)\/(177\/z - -1). What is k rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10.5 - -9.5. What is the third smallest value in 1\/4, i, -16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**4\/11 + 36*m**3\/11 - 202*m**2\/11 + 456*m\/11 - 360\/11 = 0. What is m?\nAnswer: 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5)\/15 + (-33)\/(-45). What is the second smallest value in 3, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6692558219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.9 - 2.7. Let l = -0.937 + 2.733. Let c = l + o. What is c rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 4*a - 1, -2 = -2*d + d - 3*a. Let b = -11 + 8. Let j = 7 + b. Sort d, -2, j in decreasing order.\nAnswer: d, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 0*p**4 - 1\/5*p**5 - p + 0 + 1\/3*p**3 + 0*p**2. What is the second derivative of g(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2192737?\nAnswer: 2192737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pprppzcpprc. What is prob of sequence prz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1311\/5 - 259. What is the common denominator of a and (-5)\/15 - (0 + (-476)\/132)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1923.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/279, 4.62, 0, -1\/1039, -0.2?\nAnswer: -1\/1039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(9\/2)\/(n\/((n*n*n\/n**19)\/n)) assuming n is positive.\nAnswer: n**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -3, 5 in decreasing order.\nAnswer: 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 2 = -0. Let y(d) = 5 + d + z - 8. Let h be y(4). Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t + 0 + 1 + 7*t - 5*t**2 - 12*t to h + y*t**2 + o*t and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12254 or -208316\/17?\nAnswer: -208316\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 4*w + 4*u - 24, w + 10 = 3*u. Sort w, 4, -1\/6, -3 in descending order.\nAnswer: 4, w, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 3*x = -5*g - 60219, 0 = -5*g - 3*x + 75294. Does 109 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -33. Let s(g) = 74. Let k(q) = 9*n(q) + 4*s(q). Let c(o) = 2 + 2*o - 6 + 0*o. Determine -c(a) + 6*k(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(3) - (-1 + sqrt(3)*1)) + (sqrt(3) - (0 + sqrt(3) + -2)) + sqrt(192) + sqrt(192)*2 + sqrt(3) + sqrt(300) + 1*sqrt(300) + sqrt(300))**2.\nAnswer: -27252 - 990*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*q**2 + q**2 + 4*q**2 - 13 + 4*q**2 as y + v*q + m*q**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**3*p**3*s - 2*b**3*p**2 + 12*b**3*s + b**2*p**3*s + 19*b*s - 600*p**3*s wrt b?\nAnswer: -12*p**3*s - 12*p**2 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(13\/4)*y**22*(y\/(y*y**(-2\/15)\/y))\/(y*y\/y**(-1\/8)))**(-2\/19) assuming y is positive.\nAnswer: y**(-2251\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -1\/2, 3\/184 in decreasing order.\nAnswer: 1, 3\/184, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(21)*1 - sqrt(21))\/(sqrt(175)*2).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.369915 to three decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.07 or 4402537?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 217353535, 217353536, 217353537, 217353538, 217353539?\n\"Answer: p + 217353534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/4  (b) 0.3  (c) -9\/4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 0.3, -388.3 in descending order.\nAnswer: 0.3, -2\/9, -388.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2175577\/5 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {s: 1, n: 3, q: 11}?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1*1077 - (4 - (-5 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -9*m + 1265. List the prime factors of m.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 398946181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35286*x + 18 = -35292*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 + -19. Solve -4*a + 7 = 3*s, -n*a + 4*a - s - 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 26*n - 251. Calculate b(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12\/36 - 191\/(-3) - 3. Suppose -o*i = -60*i - 19. What is the greatest common divisor of 475 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**2 - 5*l. Let w(n) = -4*n**2 - 7*n. Let m be 225\/33 - (-4)\/22. Let d(j) = m*p(j) - 5*w(j). Let q(y) = 2*y**2. What is d(q(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (12\/9)\/(-4)*-156?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4*h - 7, 0*o = -h + 5*o + 28. Suppose -v = 2*v - h. Which is the closest to 2?  (a) v  (b) -4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 3603*l. Let r(n) = 209312*n. Determine u(r(b)).\nAnswer: 754151136*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**5\/5 + 78*o**4\/5 + 3*o**3\/5 - 78*o**2\/5 = 0 for o.\nAnswer: -1, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.241 - -0.141. Let t = 2.1 - 2. Let g = 0.2 - t. Which is the nearest to r?  (a) 3  (b) g  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1247 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xoxx when four letters picked without replacement from {x: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1901101270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, 3, -0.5, -0.05, -1\/7, 0.3 in decreasing order.\nAnswer: 3, 1.5, 0.3, -0.05, -1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4*w - 4. Let l be s(-7). Let u be (3\/7)\/(l\/42). Let z = -17\/12 + u. Which is the nearest to z?  (a) 1  (b) -2\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 233772 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 3) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -449481*v**3 + 1176*v**2 - 20*v + 2?\nAnswer: -2696886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101446195.\nAnswer: 5, 1321, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7.1?  (a) 0.22  (b) -9  (c) -12  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is ac8 + 3?\nAnswer: acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 212 - 380. Suppose -6*a - 1648 = 110. Let u = x - a. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/110 and 57\/670.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, f: 7}. What is prob of picking 1 m and 1 f?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9922*j + 3265*j + 286251 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 7. Let i = 89 + -82.4. Let p = i - 7. Put p, o, -1 in decreasing order.\nAnswer: p, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2904*l - 1 + 1.\nAnswer: -2904*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/63 + (-16)\/(-9). Let w(m) = -m - 8 - 4*m + 2 - m**o - 3*m. Calculate w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -164*j - 3*j**3 + 6*j**2 + 130*j - 6*j**2 in the form a*j**2 + x*j**3 + f + u*j and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4397351 to the power of 1\/2, to the nearest integer?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176\/5 - 57\/5*u**3 - 7\/5*u**4 + 12\/5*u - 124\/5*u**2 = 0.\nAnswer: -4, -22\/7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 4\/7  (b) 0.01  (c) 1  (d) 0.135  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77382?\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + o = 5*w + 1, -3*o - 4*w = 2. Let n(h) = h + h + o*h + 15 + 10. Is n(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from dkldbuk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {n: 4, q: 6, j: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of g**6\/30 - g**4\/24 - 3*g**2\/2 - g. Let t(x) be the first derivative of u(x). What is the second derivative of t(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*v**2 - 105*v - 1150.\nAnswer: 5*(v + 5)*(5*v - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s - 8*s - 3*s - 3*s to b + h*s and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -715829, -715830, -715831?\nAnswer: -715832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32.97 - 36.028. Let k = -0.058 - q. Let y = -3.4 + k. Which is the second biggest value?  (a) y  (b) 3  (c) -0.1  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 11*d - 610. Let f be p(65). Suppose 0 = 5*y + t - 78, 0*y + 3*y = t + 42. What is the greatest common factor of y and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-20) - 4\/(-5). Suppose f = -2*j + 13. What is the third derivative of -5*h**6 + h - h + 4*h**j + 3*h**2 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 83040222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 + 13*n**2 - 37*n - 7. What is d(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -4*x + 1. Let o be 2 - (-2 - -4) - 4. Let v be 6\/o*16\/12. What is k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (102*g**3 + 3*g + 2*g - 55*g**3)*(-5*g + 0*g + 3*g).\nAnswer: -94*g**4 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**5 + 2*i**2 - 2*i**2 + 2*i**5 + 0*i**5 + i**5 + (-3 - i + 3)*(-i**4 - i**4 + i**4) + (-i**3 - i**2 + i**2)*(0*i**2 + 4*i**2 - i**2).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -2*p - 2, 7*p + 4*l = 2*p - 9. Let y be (p - 2055\/9)*339. Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 13, 3, -1, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {g: 4, b: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(224\/64*(-2)\/(-42)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**2 - 4*c - 12. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.2 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 319 and 3239648.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.152 - 49.252. Let y = 49 + r. Suppose 15*n - 10*n = -180. What is the closest to y in n, -4\/7, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-669 - 132*o + 669)*(0*o + 2*o + 0*o) - 10*o**2 - 22*o**2 + 15*o**2 + 3*o**2 + 3*o**2 - 5*o**2.\nAnswer: -280*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**29)**(-38)\/(r*(r*r*r**(-7)*r)\/r)**7)**(-43) assuming r is positive.\nAnswer: r**47816","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 91, 340, 749, 1318, 2047, 2936, 3985?\n\"Answer: 80*h**2 + 9*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**4 - 68053*h**3 + 1160960586*h**2 - 107375168960*h - 108536197600 = 0.\nAnswer: -1, 94, 33980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 19*f. Let v(r) = -4*r**2 + 1635*r. Determine v(g(c)).\nAnswer: -1444*c**2 + 31065*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 118\/(-6) - 64\/(-96). Let i be -2 - b\/(38\/28). Solve 2*j - 7 = 3*l, -2*l - l = -3*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25*21\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*r - 5*r + 3*r - 14*r + 2 in the form l + s*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.6 + -11.6. Let x = s + 16. Let f = 5.6 - x. Which is the third smallest value?  (a) f  (b) 2\/15  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 820897.\nAnswer: 7, 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 4*w + 2*w - 3 - 1981830*w**2 + 1976939*w**2 as a + b*w + f*w**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4*y + 1 = 0. Let q = y + -5. Which is the third biggest value?  (a) -2\/15  (b) q  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -844.1994 and -10.\nAnswer: 8441.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2232959173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/6*(53\/(-53))\/(4\/204).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -20.5. Let n = 15.5 + b. Let o = -18 + n. Is 4\/7 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -2*j + 3. What is the tens digit of 47 - (3 + j + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0251 minus 1039299941.2?\nAnswer: -1039299941.2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 388, 385, 382?\n\"Answer: -3*o + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 148398.\nAnswer: 148398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18220 - -18220. Let d = 18 - 15. Solve 4*i + o + 16 = t, -i + d*i + 18 = 2*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - b**2 - 6*b - 5. Let z be w(5). Suppose 19 = -f - z. Let g = 140 + f. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 135.3, -1\/2, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 202*4\/(-288)*-6. Let l = 35\/2 - r. What is the closest to 0.06 in -5, 5, 2\/15, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -103, -112, -111, -94, -55?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q - 2. Let k = 20 + -16. Let g be c(k). Suppose -g*u - 26 = -30. Solve -3*l - 15 = u*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27054 and 72.\nAnswer: 108216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*p**3 - 221*p**2 - 15*p**3 + 219*p**2.\nAnswer: -22*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 7:30 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 307*d + 169*d - 134*d - 6156 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 223 + -70?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.090396941 rounded to three dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -143693 greater than or equal to -143693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 338189208 divided by 17799432.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2382171 divided by 4\nAnswer: -2382171\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.07323456*-0.2\nAnswer: 0.014646912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2 + 0 + 58*v - 59*v + 3*v**2. Suppose 0 = -3*u + i - 1, 2*i = -4*u - u - 20. What are the prime factors of p(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -l**3\/15 - l**2 + 24*l\/5 + 240. Let r(a) = 0. What is a?\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 7*s**2 - 7*s + 7. Let w be (-1 - 0)*(2 - (-128 + 5)). Let a be -3 + w\/(-15) - (-2)\/3. Let y(j) = 7*j**2 - 6*j + 6. What is a*p(c) - 7*y(c)?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 + 33*r - 3. Let z be q(-5). Which is smaller: z or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.48 + -0.7. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2. Let d(a) = a**3 - 3*a**2 + 4. Let b be d(3). Let v(o) = -5*o + 4*o - b*o. Give v(t(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 3*d - 3. Let u be f(3). Suppose 11*t - 5*t - 24 = 0. Put t, -5, u in decreasing order.\nAnswer: t, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/13))\/g)\/g**(-6) assuming g is positive.\nAnswer: g**(80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 42252.\nAnswer: 126756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 8*x**2 - 10*x - 10. Let o be h(-9). Let g = 16 + -16.3. What is the third biggest value in g, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3 - 1. Let u be 1 + -1 + 6\/i. Suppose -l + u*l = 48. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 435277252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1670856 to the power of 1\/2, to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5497193.\nAnswer: 13, 422861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 4 + l + 4 - 3 to g*l + d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-8) + (-172)\/16. Let f be 17\/6*1 + (-60)\/72. Put f, w, 5 in descending order.\nAnswer: 5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -29*h + 640. Solve -h + 19 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvvvvvvpvvvvpvpppv. Give prob of sequence pv.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -49797.5 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 288526153 or 288526152?\nAnswer: 288526152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7\/6 + -2\/3. What is the nearest to 0.1 in -32, -6\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 < -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75*m**2 + 41*m**2 + 42*m**2 + 53*m**3 - 2 wrt m.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -869.051 - -869. What is the second biggest value in 5, w, -0.08?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/(-15)*(-3015)\/(-5628))\/((-1)\/(-7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -209*j**3 + 1128*j**2 - 392803*j?\nAnswer: -1254*j + 2256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -9*v - 3. Let c = -72 - -224. Let l = 342 - c. Calculate the remainder when l is divided by x(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.88 + 7.88. Which is the nearest to 0.1?  (a) r  (b) 4  (c) -5  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 575, 0.4, 112?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14406113 is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 7 - 4 + 7*a + 1 - a**2. Let o be j(7). Suppose v - o*t + 56 + 0 = 0, 2*v + 100 = -4*t. What is v rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207*g - 203*g = 32. What is the highest common divisor of g and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 6*z + 8*z)*(-22*z**2 - 2053*z**2 - 449*z**2).\nAnswer: -10096*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -9*t - 3. Let m(i) = 10*i + 4. Let f(q) = -6*a(q) - 5*m(q). Let n be (1 - 0)\/(1\/7). Let r be f(n). Solve -4*p - 19 = -o, -o - 7*p + 2*p = r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {s: 4, h: 2, d: 3, k: 3, t: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(204) + sqrt(204) + sqrt(204))\/(sqrt(3) + sqrt(192)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 61988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 103369678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u + 22. Let r be s(-9). Suppose -3*a + 2*d = -25 + 2, d + r = 0. Suppose -a*c - q + 392 = -0*c, 0 = -2*c + 5*q + 173. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 + 99. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 124881.5l to millilitres.\nAnswer: 124881500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 1026 = -11*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 337775489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/3 - (-4)\/(-12). Suppose 8*v - 5*v - 30 = l. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1366)\/40 - (-1)\/(-4). Let i = -34 - g. Let -2\/5*h**2 + 0*h + 2\/5*h**4 + i*h**3 - 2\/5*h**5 + 0 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 50 and 16810.\nAnswer: 840500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -176948821424373\/46655975498 + 329084388\/86677. Let t = -2\/24467 + a. Find the common denominator of -67\/10 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (452\/(-66) - -1 - 46\/(-253)) + 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fjjujjjjooojufjuoj. Give prob of picking 2 u and 2 o.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -1\/1068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*q + 40 = 24*q. Sort 9, 4, -2, q.\nAnswer: q, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 266429*l**2 - 266429*l**2 - 267*l + 5*l**4 + 2526 with respect to l.\nAnswer: 20*l**3 - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m - 270 = 17*m + 23*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -419*v**4 + 1057?\nAnswer: -1676*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 2 + 6 - 7) + 12\/40?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**3 + a. Let j be i(-1). Let b(r) be the second derivative of -r**5\/20 - 5*r**4\/12 - r**3 - 5*r**2\/2 - 23*r + 2. Determine b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1830)\/(-103))\/3 + -6. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.6734645 minutes to hours.\nAnswer: 0.027891075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/3  (b) 1\/14  (c) 307980\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -4*v**3 + 996*v**2 + 2523204*v - 1023557796 = 0.\nAnswer: -849, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o - 8. Let l(z) = -7*z + 16. Let k(b) = 5*d(b) + 3*l(b). Let u be k(6). Is (u\/(-4))\/((-3)\/228) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o**3 - o + 24. Is v(5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -27140002.3 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 73\/(0 - 3\/(-120)). Suppose -i + 5*p - 332 = -1074, 0 = 4*i + 4*p - k. Find the second derivative of 13*x**2 + i - 7*x - 732 wrt x.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 7*u - 1. Let y be v(-6). What is the units digit of 17\/y + (-8)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 84794765 to the nearest integer?\nAnswer: 9208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16360519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 4*x - 5*x + x**2 - x**3 + 2*x**2 + 3. Let v be s(3). Suppose -2*j + 4*f + v*f = 10, 4*f = j + 15. Put -5, 3, j in decreasing order.\nAnswer: j, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25808 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/(30\/5))\/((-2)\/(-82)). Let u = -40 + n. Which is the nearest to u?  (a) 5  (b) 4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5543414 (base 7) to base 6\nAnswer: 22350332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 585 = -4*x + x, -x - 4*q - 1599 = -827 - 995 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -118.841 + 113.87. Let c = n + 5. Round c to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -59.7 - -56. Let y = 3.5 + o. Which is the nearest to 1?  (a) y  (b) 0  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 348*v - 34822 = -10462 for v.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 418 + -2917\/7. Let p be ((-8)\/(-3))\/((-2)\/(-33)). Let v be 2\/8 - 11\/p. Which is bigger: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 286 divide 145358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143433.\nAnswer: 3, 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -171784+-9.9\nAnswer: -171793.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-44)\/(-363))\/((-8)\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2629940561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7766354, -7766340, -7766308, -7766252, -7766166, -7766044?\nAnswer: -7765880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -471*s**6 + 104299*s**3 - 54631588*s**2 wrt s.\nAnswer: -56520*s**3 + 625794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 15*d**3 - 24*d**2 - 82*d + 5. Is k(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 229 a factor of 6380856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.07, 86, 21\/5, 0.27, 4?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*l + 0*l + 2*l)*(l**2 - 3*l**2 + l**2) + (l - 3*l + 0*l)*(l**2 + 9 - 9) - l**3 - 5*l**3 + l**3 in the form j*l + o*l**2 + k + t*l**3 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10.08 + 690.\nAnswer: 679.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000052134 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 626 - 318. What is the tens digit of 261436\/s - (-2)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -44*f + 116. Let w(o) = -4*o. Determine r(h) - 12*w(h).\nAnswer: 4*h + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 285127\/30 + -9500. What is the common denominator of -103\/30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14600423 + 465318\nAnswer: 15065741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/2 - 1650*t**3 + 1357946*t**2 + 5451600*t + 5458208.\nAnswer: (t - 1652)**2*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 143767 divided by -13?\nAnswer: -11059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-802934)\/33)\/(2*3). Let r = j + 4051. Calculate the common denominator of 77\/15 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3010 (base 5) to base 4\nAnswer: -11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 4. Let o = -10.3 - -11. Let d = o + -0.5. What is the third smallest value in a, d, -3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 4*o - 90. Let d = -21 + o. Calculate the remainder when 25 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/10 and -37\/166?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15303077*a*t - a + 70836 wrt t?\nAnswer: -15303077*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**7\/70 + 3*m**6\/8 + 39*m**5\/20 + 37*m**4\/8 + 6*m**3 - 87*m**2. Factor c(o).\nAnswer: 3*(o + 1)**3*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 21 = -27. Solve -3*y = -d*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 13*q + 178. Let w(b) = 2*b + 3. Give -4*w(g) + z(g).\nAnswer: 5*g + 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 5*f - 10, -5*f + 4*f = 4*n - 2. Suppose 19*g - 16*g - 138 = n. Calculate the greatest common divisor of g and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8092\/1904 - (3 - (-164)\/80)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 978579.8t to nanograms.\nAnswer: 978579800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1.5, -1\/4, -3, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -935371, -935378, -935397, -935434, -935495, -935586, -935713?\n\"Answer: -k**3 - 935370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15743 is divided by 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 74\/11 - 1088\/165. What is the smallest value in 0.2, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/3, -4\/5, -1\/7, 0.18?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 36\/10*(-255)\/153\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2130*u - 25331 = 35458 + 981 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -187931*y**5 + 4*y**2 + 80878*y wrt y.\nAnswer: -3758620*y**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 3*w + 2*u - 47, 15 = -3*u. Let n = 0.98 - 0.68. Which is the second biggest value?  (a) -2\/7  (b) 0.5  (c) w  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of 0*i + 12*i**2 - 5\/6*i**3 + 0 + 17\/24*i**4. Differentiate g(q) wrt q.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 223118867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t. Let o(g) = 5*g**2 - 62*g - 15. Let x(f) = o(f) + 6*u(f). Let b be x(11). Solve -5*w - b = -30 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 3*o**3\/2 - 3453*o**2 + 96135*o\/2 - 44616 = 0.\nAnswer: 1, 13, 2288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 12*f**2 + f - 10. Let q(x) = 2*x**3 - 14*x**2 + 2*x - 12. Let o(t) = 3*k(t) - 2*q(t). What is o(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51*4\/2958 + -122*5\/(-3770)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9387, 37529, 84439, 150117, 234563, 337777?\nAnswer: 459759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of 5 + 0*a**4 + 0*a - 1\/3*a**6 - a**3 + 0*a**2 + 0*a**5. Find the third derivative of k(r) wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -4*r**2. Let y(a) be the first derivative of -6*a**2 - 59. Give y(s(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*r = -17, -4*k = r - 32 - 55. Calculate the highest common divisor of k and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-7010)\/2)\/((-4 + 7)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c**2 + 3*c**2 + 14*c**3 - 9*c**2.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 110 - 113. What is the biggest value in 13, u, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/(sqrt(12)\/sqrt(2)))\/(sqrt(288)*1).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hyzadha. Give prob of sequence hz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/4785 - -4799\/33495. Let c = -4.3 - -4. Let v = 4 - 3.6. Put j, c, v in decreasing order.\nAnswer: v, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 8*h. Let k be a(-4). Find the third derivative of k*x**2 + 677*x**3 - 43*x - 3*x**2 - 1633*x**3 + 647*x**3 wrt x.\nAnswer: -1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/2)\/(2\/(-12)). Suppose -13*y + 370 = -w*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 - 685*x + 1575*x - 9 + 2162*x to f + p*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of -5\/12*q**4 + 3*q - 5\/3*q**3 + 0 - 5\/2*q**2. Factor n(m).\nAnswer: -5*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -5*t**6\/2 + 107*t**4\/4 + 10639*t**3\/3 + 5943. What is the third derivative of c(q) wrt q?\nAnswer: -900*q**2 + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + i - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 8470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -152 + 157. Let w(l) = l**2 - 3*l + 4. Determine w(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -3*f - 12. Suppose -f*p + 3*p + 1 = 0. Sort 5, p, -4 in decreasing order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*t + 19*t - 3*t in the form p + d*t and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o**4 - 9*o + 9*o + 5*o**3 - 5*o**3 - 2*o**4 + (1 - 1 + 2)*(2*o**4 + o**3 - o**3).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 7) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*v - v = 207, -c + 81 = -5*v. Suppose 0 = 63*y - c*y + 15. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.6 + 0.3. Let j = 1.3 + c. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8) - (sqrt(8) + sqrt(32)\/sqrt(4)))\/sqrt(4) - sqrt(18)*3 - 4*((-1 + sqrt(2) - sqrt(2)) + 1)*5)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 52 - (6 - 168\/(-14)). What is the greatest common factor of c and 1139?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + v + 0)*(5 - 13 - 15).\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l = -20. Suppose -5*g - l*r = -7, 0 = -2*g + r - 4*r. Suppose g*i + i = 0. Solve 4*v + i*v = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 - l**2 - l + 4. Let x be r(0). Let h = x - 2. Is h less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/1824 and -71\/13080.\nAnswer: 994080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -18\/11, 1, 0.5, 0.3, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 (base 4) in base 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-396)\/55)\/(-2)*(-23850)\/1060.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 142 = -o, -7*o = 7*p - 10*o - 310. Calculate the highest common factor of p and 10511.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1027a (base 14) to base 4\nAnswer: 21200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -288, -738, -1374, -2196, -3204, -4398?\n\"Answer: -93*f**2 - 171*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -6\/11*w**4 + 0*w + 14\/11*w**2 - 8\/11 - 2\/11*w**3 + 2\/11*w**5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 909, 2\/7, 2, 0.5, 43, 3 in increasing order.\nAnswer: 2\/7, 0.5, 2, 3, 43, 909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -213, -282, -391, -540, -729?\n\"Answer: -20*m**2 - 9*m - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/245*360\/41040*20\/(-2)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5002 (base 6) in base 13?\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 101426*r**2*s**3 + r**2*s**2 + 15*r**2*s + 769*s wrt s.\nAnswer: 608556*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 180*b - 175*b + 55, 3*b + 31 = 2*p. Let z = -18 + 11. Let s(i) = -i**2 - 7*i + 2. Let c be s(z). Sort p, -16, c.\nAnswer: -16, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*r + 67*r + 19*r**2)*(31 - 31 - 4*r).\nAnswer: -76*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3008, 2915, 2698, 2297, 1652, 703?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.1 - -3.16.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*k**4 - 16 - 16*k**4 - 2*k**3 + 14 as o*k**4 + j*k + n*k**2 + m*k**3 + y and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/15 + (-16)\/(-6). Let u be -34*((-9)\/(-6))\/c. Let x = u - -38. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.1, -4, 3\/7, -785\/3, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17898 + 22258. Does 37 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 488318*p + 488352*p - 1464953*p + 488282*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 2)*(-95*n**3 + 426 - 145*n**3 - 426) to j*n**2 + h + i*n**3 + v*n and give i.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 + 0*w**2 + 0*w**2)*(-39*w**3 - 155*w**3 + 24*w**3).\nAnswer: -170*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9574 is divided by 100?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1\/4  (b) 323  (c) 1  (d) 0.3  (e) -4\/7  (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + -3 + -4 + -7. Is c less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*k - 0*k + 159, 0 = 2*k. Let w = -48 + o. Suppose w*b = 5*d - 8299975, b - d = -4*b - 8299995. What is b rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 560 = 3*c - 2*u + 7*u, 2*c - 380 = -5*u. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -o + 2, o - t - 3*t = -12. Suppose 0 = 2*j - 1 - 5. Let p(b) = -2*b**j + 6 + 4*b**2 - 3*b**3 + 3*b + 6*b**3. Determine p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 217\/(-35) + 1\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.58 and -82.261?\nAnswer: -212.23338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kzk when three letters picked without replacement from hzkrkhhh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 172212856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -8*g + 52. Let a be k(6). Suppose -d + w + 333 = -265, d - 583 = a*w. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of -h**5\/20 + 10*h**2. Let w(b) = -4*b + 6. Let s = 17 - 12. Let r(j) = 3*j - 5. Let a(g) = s*w(g) + 6*r(g). Determine a(c(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17285539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1573 is divided by 783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.005 + 1.995. Let b = k + -1.8. Let y = -0.20000068 + b. What is y rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14511 * 3609\nAnswer: -52370199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (158\/(-1185))\/((-8)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43*a - 8*a**2 + 43*a + 6*a**3 wrt a?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 89db83 - -123?\nAnswer: 89dca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4 - 3 + 15 - x. Let v be (9\/(-12))\/(2 - (-9)\/(-4)). Suppose 0 = -2*i + o - 3, -2*i + v*i = 4*o - 12. Determine h(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 420 and 20?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + -26. Round k to zero decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*x - o = 61*x - 26*x - 22, -10 = -4*x - 3*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 114072 + -114071.999953853. Round w to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.052 and 16840.\nAnswer: 875.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 294112321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000301886 to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-63)\/18 + (-2)\/4. Let s be (-23)\/(-7) + i\/14. Let h(k) = -2*k**2 + 4*k - 3. Calculate h(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 - (50 + -117 - -150).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 13*q - 14. Let c be p(15). Suppose 2*v + y + 2*y = -c, 0 = 5*y + 20. Is 465*(1 - 0) - v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p + 7. Let l be d(-6). Let c = -2 - l. Let h(u) = -2*u**2 - 9. Let f(v) = -5*v**2 - v - 26. Let m(w) = c*f(w) - 8*h(w). What is m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 17 - 5. Let m = -6 + k. Let a = 1.2 - 0.2. What is the third smallest value in 5, m, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 4*w**2 - 809*w. Let a(r) = 4*r**2 - 794*r. Give 3*a(i) - 2*j(i).\nAnswer: 4*i**2 - 764*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 108*b**2 - 3*b - 12. Let u(n) = 109*n**2 - 3*n - 12. Let j(o) = -3*l(o) + 4*u(o). List the prime factors of j(-2).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + 4 - 19*d**2 - 2*d - 23*d**2 + 68*d**2 - 22*d**2. Suppose -5*n + w = -3*w + 8, -4*n + w - 13 = 0. Calculate i(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*d - 6*d**2 + 70*d - 2*d**2.\nAnswer: -8*d**2 - 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 14*n**3 - 12*n**2 + 14*n + 6. Let c(d) = 5*d**3 - 4*d**2 + 5*d + 2. Let u(y) = -11*c(y) + 4*p(y). Is u(6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1363649\/116 or 11755?\nAnswer: 11755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4696601?\nAnswer: 7, 13, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -223*k + 9359. Give h(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*u**3 + u + u**3 - 1 - 2*u**3 + 5*u**2 - 3 + 8 to the form m*u**2 + x + q*u + r*u**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (31 - (-1 + -2) - 1)) + -906 + 899\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxaxaxxxxxaxxaxax. Give prob of sequence xaax.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-144)\/(-30)*765\/(-42840).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.72 - 0.604. Let w = -15.684 - s. What is w rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3592 - 3594 + a + 7187 - 2*a. Give p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w**2\/3 - 340*w\/3 + 352 = 0.\nAnswer: -88, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 127*c - 43. Let j be g(27). Suppose -v - j = -5*u, -3*u + 1992 = 2*v - 50. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 684\/(-39) + (-41)\/((-984)\/432)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*u + 266208 = 296*u. What is the highest common divisor of 1175 and u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 6*n - 6. Let b be h(-6). Let y(s) be the second derivative of 0 - 34*s + 5\/12*s**4 + 3\/2*s**2 - 2\/3*s**3 + 1\/20*s**5. Give y(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1829 - 14?\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -2*m - 12. Suppose m = -d + 23. Calculate the least common multiple of d and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 5, 3, 4, 0, -16.6 in increasing order.\nAnswer: -16.6, -0.4, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/73 and -39\/11?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**5 - 192*p**4 - 612*p**3.\nAnswer: 4*p**3*(p - 51)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 9*w**3 - 2*w**2 - 1 - w + 0*w**3 - w**3 + 0*w**3. Let b be x(-1). Let d be (8\/(-16))\/((b\/168)\/5). What is the highest common factor of 42 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - 1414276?\nAnswer: -1414300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 286\/147?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -51881, -51802, -51723, -51644, -51565, -51486?\n\"Answer: 79*j - 51960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/3*(-3)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -257862, -515720, -773578, -1031436, -1289294?\n\"Answer: -257858*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*g - 10*g = 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 - -1 - ((-58 - -66) + -13 + 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -3*c**3 - 3040126*c**2\/3 + 675584*c\/3 = 0.\nAnswer: -337792, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -405, -406, -407, -408, -409?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r**2 - 8*r + 178. List the prime factors of k(16).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 0.1042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -42034163 and 154.9.\nAnswer: -42034008.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**4 + 162*s**3 - 3642*s**2 - 7762*s - 3960 = 0.\nAnswer: -99, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zoozuuzzido. What is prob of picking 1 u and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -135040 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -86.42888 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 228003, 227930, 227857, 227784, 227711?\n\"Answer: -73*j + 228076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/28?  (a) 35  (b) 0.2  (c) 0.3  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -594 divided by -33\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of o**5\/12 + 5*o**4\/24 - 3*o**2. What is the second derivative of p(r) wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - 4 - (-4 - 1). Suppose l*p - 10 - 32 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2c54c (base 15) to base 10\nAnswer: -142947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 10709963?\nAnswer: 10709966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 618 and 672630376?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 - 310 = -5*t. Suppose 88 = 5*x - l, -3*x + 4*l + 18 + t = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3868 + 3872. Solve 0 = -x*y + 4*w + 8, -4*w = -5*y - 4 + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4915, 20120, 45609, 81382, 127439, 183780?\n\"Answer: 5142*x**2 - 221*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 6. Let h(q) be the second derivative of 0*q**2 + 0 + 1\/10*q**5 + 1\/12*q**4 + q + z*q**3. Find the third derivative of h(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.14, 1, -4\/3, 0.58, -1\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -9*v + 1. Let l be n(1). Let x = l + 25. Suppose x - 4 = p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a + 1. Let j(l) = -15*l - 2. Let z(r) = -3*j(r) - 8*k(r). Let w = 6 + -2. Suppose 12 = w*y - 0. Let g(u) = -2*u + 1. What is y*z(i) + 7*g(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -bb7 - 20ea?\nAnswer: -2ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 a, and 2 l when four letters picked without replacement from zzazzzlznazulzzz?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - -1. Let b = 16 + k. Calculate the greatest common factor of 231 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -163, -11, -10, 42 in increasing order.\nAnswer: -163, -11, -10, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 2*f**4 - 2450*f**3 - 37124*f**2 - 94192*f - 59520 = 0.\nAnswer: -12, -2, -1, 1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 237.9 + -419.9. Put 2\/3, -0.2, p in decreasing order.\nAnswer: 2\/3, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 20 = -c, p - 32 + 167 = 4*c. What is the remainder when c is divided by (-38)\/(-4)*(3 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 9:06 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of 23*k**5\/30 + 13*k**2 + 5*k. Let i(v) = -3*v**2. Calculate j(i(g)).\nAnswer: 414*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1125 + -1125. Solve -4*s = -b + 15, b + k*s = -s - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*((s*s**(-1))\/s*s)\/s*s*s*s*s)**(-25\/6)\/(s\/(s\/(s\/s**(4\/3)))*s**(1\/3))*(s*s*s**(-1\/9)\/s*s*s**(-1\/3))**11 assuming s is positive.\nAnswer: s**(-67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {o: 1, k: 14, x: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4050 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - -1 - (-55)\/5. Suppose 4*c - 3*k + 33 = v, 0 = -2*c - k - 23. Suppose -2*b = -b + 9. Are b and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 5, v: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -37*80\/6808*3\/(-5)\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.18 in -1\/5, 79\/4, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**(5\/3))*w**(-2\/5)*w**(3\/7)\/(w*w*w**6))\/((w**(-1\/3))**(5\/6))**(3\/2) assuming w is positive.\nAnswer: w**(-1291\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1221*w + 986*w = -9870 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2 + 2*sqrt(180)*2*1*3 + -4.\nAnswer: -3 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 32155, 33018, 33881?\n\"Answer: 863*u + 31292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2 - 8 - (-34 + 23 + 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 67*q - 66*q - 3. Let d(n) = 246*n - 53. List the prime factors of d(q).\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -52664 from 0.3.\nAnswer: 52664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 14) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -50 divided by -13\nAnswer: 50\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 290004 and 8103381?\nAnswer: 5577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 549*n = 541*n + 9656. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -5*l**2 + 2*l**2 + l**2. Let d(r) = -4*r**2 + 7*r + 7. Let y(n) = -3*n**2 + 6*n + 6. Let k(q) = -6*d(q) + 7*y(q). What is k(m(p))?\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 9 = -m, 0 = -x - 5*m + 52. Let q = x + -46. Let k = q - -22. Calculate the greatest common factor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, 251 in decreasing order.\nAnswer: 251, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-44)\/(-3))\/(46\/69). Which is smaller: r or 28?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62086, -495912, -1673436, -3966508, -7746978, -13386696?\nAnswer: -21257512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21 + 37. Suppose -f*n + 2*n + 14 = 0. Which is the second biggest value?  (a) 17\/5  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of -c**4\/24 - 2*c**3 - 49*c**2 - 16*c + 2. Let w(y) be the first derivative of h(y). Calculate w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -48, -53, -60, -69?\n\"Answer: -f**2 - 2*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrxxrrraxrrrrrq.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -4, -1.\nAnswer: -4, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1092*q**2 + 12*q**2 + 57 - 59.\nAnswer: -1080*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 331 - 539 = 0. What is the smallest value in 0.5, s, 1\/42?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*g + 256 = 128. Solve -g*d = -3*c - 4, -5*d = 3*c - 23 - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2063 is divided by 1685?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 + -94?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**4 + 148*f**3 + 1188*f**2 + 1916*f + 880.\nAnswer: -4*(f - 44)*(f + 1)**2*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/8538 and 45\/233372.\nAnswer: 700116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-12)\/15*(-375)\/(-210) and -47\/636.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = l - 2, 5*l = 4*b + 1 + 20. Let s = 3 + l. Solve 4*x - 2*x = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wjyuyu. Give prob of sequence juw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/7)*r)\/((r\/(r\/(r\/(r\/r**(-21)*r)*r)))\/r)*((r\/r**(2\/7))\/r)**8 assuming r is positive.\nAnswer: r**(143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 8*r - 10. Let i(c) = -c**2 - 10*c - 5. Let v be i(-9). Suppose -4*f + v*q = f - 15, -2*q = -10. Is 17 a factor of y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 281342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -211\/2310 and 113\/308?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**3\/5 + 8772*x**2\/5 + 10532*x + 70224\/5 = 0.\nAnswer: -4, -2, 8778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 0 + sqrt(99)\/sqrt(144) + sqrt(11))*-1.\nAnswer: -5*sqrt(11)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m - 3. Let a be b(9). Let z = 13 - a. Suppose 5*p - 96 = -0*p - 3*d, 2*p - z = d. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1173*a*c - 20*a - c + 21 with respect to c.\nAnswer: 1173*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5440.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 4*s = -17, 18*d - 3 = 13*d + 2*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/5 and -71\/3742.\nAnswer: 18710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.3  (b) 0  (c) 1  (d) -1\/7  (e) 2369  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 10. Let w be (-4)\/(-6) + f + (-8)\/(-6). Suppose 0 = -10*p + 6 + w. Solve 12 = -2*v + 5*g, 0 = 3*v - 0*v + 2*g - p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11*(-11 - 960\/(-88))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2512.8  (b) 0  (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 8 + 2)*(-19*i + 1793 - 1793)*(0 + 0 - i)*(-9 - 14 + 17*i + 22) to the form d*i + x + c*i**3 + n*i**2 and give n.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 1 + 5 = 0. Suppose 3 = -3*x + 5*y, x + 0 - 10 = -l*y. Solve 4*d = -x - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 5:35 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*-2*(-3)\/6. Calculate the remainder when -3 - (-79 - (t + 3)) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 22470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3263*q**3*r**3 + 31*q**3*r**2 + 61022*q*r**3 - 2*q*r**2 - 2*q + 1350*r**2 - 28 wrt r.\nAnswer: -19578*q**3 + 366132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oiorgaixg. Give prob of sequence rxo.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 2*k**2 + k - 2. Let c be v(-3). Suppose -14 = -x - c. Solve 3*p - 11 = 2*q, q + 2*q = -2*p - x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.7 < 0.045794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 35916 - 3*s**4 + 5*s**4 - 2*s**3 - 5*s - 35918 - 11*s**2 in the form t + g*s + c*s**4 + i*s**2 + x*s**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/8, -2\/7, -46?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-10))\/(72\/(-126) + 38\/70).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllmssssssmmsmslss. Give prob of sequence mmml.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(15)\/sqrt(3)*-4).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62576 + 1898*d + 62576)*(2*d**2 + 3*d**2 - 3*d**2).\nAnswer: 3796*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12745 - -18156. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20991089 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 - 2)*(-5*j**2 + 6*j**2 - 2*j**2) to the form t*j**2 + a*j + m and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13772061 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 58743  (b) -5.3  (c) 5\/4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddal when four letters picked without replacement from {d: 4, a: 1, p: 1, l: 2, q: 2, s: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - (-8 + (1 - -3))) + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 215  (c) 18  (d) -0.086  (e) -2  (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12294888\/319 - 38542. Let w = -225\/17527 + -123521961\/27955565. Let t = w - y. Calculate the common denominator of t and -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15568 divided by 6?\nAnswer: -7784\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*y**4 - 8*y**3 + 4*y**2\/3 + 8*y\/3 - 2\/3.\nAnswer: -2*(y + 1)**2*(3*y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119*x**3 + 138*x**3 - 10*x**2 + 10*x**2 - 249*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p. Let h = -4 + 7. Let m = 17 - h. Suppose 2*d + m = -d + 2*k, -3*k = -4*d - 20. Calculate w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2393\/556 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -3  (c) 4  (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 34157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24697674, -24697676, -24697678, -24697680, -24697682, -24697684?\nAnswer: -24697686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**2 + 4*o**2 - 3*o**2 - 6*o**2 + 0 + 2*o**2 + 0 + 3*o**2 - 3*o**2 - o**2 + (-2*o - 4*o + 4*o)*(o - 1 + 1).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - 8*i**2 + 10*i - 25. What is z(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -12*z**2 - 822*z - 405. Calculate b(-68).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30 - 31. Let n be (8\/(-12))\/((-2)\/(-6)*w). Suppose 3*m + m - n*h = 644, 461 = 3*m + 4*h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -10028*x**3 + 10*x**2 + 13*x - 3. Suppose 0 = -11*s + 15*s + 28. Let u be k(s). Suppose u = -0*h - 16*h. Round h to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 34928 and 10872?\nAnswer: 47467152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -e - -1a?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2065?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 20 = -2*v, -5 - 3 = 4*g + 2*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 166 * -9122.\nAnswer: -1514252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 351142 is divided by 727.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 60*(-1 - 996 - 3). Round s to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56152785?\nAnswer: 3, 5, 13, 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 323820557 - -449\nAnswer: 323821006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -157*k - 303. Determine c(-5).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1672?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*x + 10*x - 2*x + 17*x - 37*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 265 - 215 = 0. Let c(g) = -g**3 + 10*g**2 + 57*g - 12. Let m be c(14). Solve s*l - 8 = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7375 = 28*r - 10937. What is the remainder when r is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2128303 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2637 and 1503676?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6 - (9\/(-12))\/(14\/168). Factor -22*g**r + 17*g**3 + 0*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -206624*h + 7044. Let j(p) = -587*p + 20. Calculate -1761*j(q) + 5*s(q).\nAnswer: 587*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9*(-6 - 14\/(-2)). Solve -1 = -4*p - a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -298?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 16439, 33328, 50219, 67112?\n\"Answer: v**2 + 16886*v - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 5282*o + 1167. Is t(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -5)*(56\/(-112))\/((-6)\/(-4))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/6)\/(15*(-32)\/160).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -56 + 66 + -43 + 5 + 4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*t + 16. Suppose 8 - 20 = -t*i. Suppose i*u - 95 = -3*g + 894, -g = 5. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 7) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*t + 12*t - 1824. Is t smaller than -608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -34*m + 172. Let g be t(5). What is the first derivative of -14*i + 16*i**4 - 13*i**4 - i**2 + i**g - 69 + 0*i**2 wrt i?\nAnswer: 12*i**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 425 - 2340 = -d, 0 = -4*h - 2*d + 2212. List the prime factors of h.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 36 + 16 = -j, -5*j = -w + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 203, -144, -475, -784, -1065, -1312?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -679 * -0.07.\nAnswer: 47.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 + -25. List the prime factors of t\/(-1 - -9)*-26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.38926 days in milliseconds?\nAnswer: 2798432064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -3*i**2 - 2*i - 2. Let g(y) = y**2 + y. Let a(u) = 2*g(u) + v(u). Suppose -28*p + 29*p - 3 = 0. Let w(x) = 2. What is p*w(o) + 2*a(o)?\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f**3 - 63*f**2 - 3*f - 87. Let z(q) = 6*q**3 + 81*q**2 + 4*q + 116. What is -9*l(d) - 7*z(d)?\nAnswer: -6*d**3 - d - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -120 divided by 60?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, z: 2, e: 1, f: 2, s: 1}. Give prob of sequence ff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -29. Let b = 0.038 + 15.962. Let m = b + q. Which is greater: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2385\/414 + (-78)\/299. Find q such that -13\/2*q**2 + q + 0 + t*q**3 = 0.\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -65, 0, 1, -5 in decreasing order.\nAnswer: 1, 0, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2.38 * 59540\nAnswer: 141705.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 0. Let y be 8*s*(-1)\/(-2). Let d = 7 - y. Calculate the remainder when d is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 680080239.\nAnswer: 3, 37, 89, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**5)\/o**(3\/8))\/(o\/(o\/(o\/((o*o*o\/(o**(-1)*o))\/o))))**47 assuming o is positive.\nAnswer: o**(349\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4796\/198 + 4\/18*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4741644*b**3 + 14664534*b**2.\nAnswer: 28449864","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3308 is divided by 2792.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/35112 and -39\/89117?\nAnswer: 447010872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4538a - 5?\nAnswer: 45385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 515, 0, 1397.\nAnswer: 0, 515, 1397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3\/4 + -1\/2. Let m = -4.89 + -0.11. Let l = m + 2. Sort l, -0.4, c in increasing order.\nAnswer: l, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/20358108 and 31\/1131006?\nAnswer: 20358108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.02082 to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-5 + 1*(4*(-1 + sqrt(112)) + sqrt(112) + sqrt(112)))*3 + 2)**2*-5.\nAnswer: -36000*sqrt(7) + 369130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from ccnqqlqqcqbnnq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 37848 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 19 times 221481\nAnswer: 4208139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68410012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22.333 + -27.333. Let v be ((-8)\/12)\/((-8)\/6). Which is the closest to v?  (a) l  (b) -0.5  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, -2, -67, -200, -425, -766, -1247?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) 0  (c) 30  (d) 5  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**4 + 188*b**3 - 5058*b**2 + 28408*b + 78584 = 0.\nAnswer: -2, 11, 38, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.025 - -5.025. What is the second biggest value in -0.05, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -32601622, -65203237, -97804838, -130406419, -163007974, -195609497?\n\"Answer: k**3 + k**2 - 32601625*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -25, -15, 31, 131, 303, 565, 935?\n\"Answer: 3*q**3 - 11*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -880091*r + 1601156 wrt r?\nAnswer: -880091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23424404 - -2242?\nAnswer: 23432201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 2*i = 18, -6 = 5*q - 4*i - 0*i. Let j = 2427 - 2428. Sort q, j, -0.2 in ascending order.\nAnswer: j, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -50 + 72. Let x = b + -19. Solve 2*q - 3*w = -x*q + 16, 4*q - 3*w - 11 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 5*r = 13864 + 2976, -4*i = 5*r - 67485. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 669*y - 2*y**3 + 5*y**3 - 669*y - 4*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13525 is divided by 164?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 6 - 13)*(-12*x + 18*x + 14*x)*(5*x**3 - x**3 - 11*x**3).\nAnswer: 1120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 11) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 19905678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**3 + 5*n**2 - 5*n + 2. Calculate d(-5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 5 - 1)*(z - 2*z + 3*z) + (z - z - 2*z)*(2 - 2 + 2).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 1213 + 6844. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -9 - -4 - (-5 - 6). Suppose w*i = i. Suppose i = -92*k + 95*k. Solve 0*d + d + n - 6 = k, 0 = -4*d + 5*n - 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -88 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -487307 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 0.1, -3\/8, -4, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 122795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130273 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 0.067?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -795795 divided by -3003\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4260 - 1982. Is 36 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -6*x - 0. Find the second derivative of -32*h + 688*h**2 + h**4 + 0*h**x - 685*h**2 + 0*h**3 wrt h.\nAnswer: 12*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -64289888 divided by -32\nAnswer: 2009059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -628a452 (base 11) to base 13.\nAnswer: -23b047c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 7:31 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m + k = -3*m - 14, 0 = -5*m - 4*k + 19. Suppose 3*v + 0*d = 2*d + 14, -m*d = 3*v + 6. Solve 1 = l + j + 3, -v*j = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvzvvvvz. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 52*d - 43. What is g(50)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.089 and 1.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 98*c. Let m(a) = -a. What is m(r(h))?\nAnswer: -98*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -4. Let l be -1*(2 - (-6)\/(-1)). Suppose 2*v - l*g + 6 = 0, -6 = -2*v - 4*g + 4. What is the nearest to v in 2, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.625176g to milligrams.\nAnswer: 4625.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 17 - 2)*(-8 + 4 - 2)*(-u - 2*u - u)*(2*u - 6 + 6).\nAnswer: 1008*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r**5\/2 - 12*r**4 + 87*r**3 - 132*r**2 + 117*r\/2 = 0. Calculate r.\nAnswer: -13, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 4*n + 1645 = 0, -5*l - 2*n + 1645 = -4*n. Let c = -67 + l. Let u = c + -152. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*l - 8 = -19*l. Suppose 5 = l*i - 11. Suppose 320 = -i*k + 7*k. What is the remainder when k is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 4*h - 19, -h + 1 = 5*i - 18. Suppose -9*z - 38 = -4*g - 7*z, -i*z = -3*g + 21. Solve -10*c = -7*c + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(((sqrt(624) - (sqrt(624) - 4*-4*sqrt(624) - sqrt(624))) + sqrt(624))\/sqrt(12) + 0 + -1 + sqrt(52) + sqrt(832)*-1))**2 + 1.\nAnswer: 612*sqrt(13) + 135262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -26781610\nAnswer: 1\/5356322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 346026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*o = 45*o - 60. Let v be -1 + 3 - (-3 + o). Let n = -196 + 2942\/15. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -164.068576 + -0.080424. Let s = 164 + m. Let n = s - -0.017. Round n to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 - (-14 - -11) - 11\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 51 = -2*j + 2*d, -2*d + 36 = j. Suppose 2*w = -n - 0*w + 11, -3*n - 5*w + j = 0. Let l = 0 - -5. Solve l*b - 2*q + 10 = -8, 5*q + n = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*m**2 - 2940*m + 27*m**2 + 2938*m to the form z + g*m + i*m**2 and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/18 and -2\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h + 8. Let c be o(-6). Let x(u) = -u**2 - 6*u - 3. Let r be x(c). Solve -w = -4*l - r, 2*w + 0*w - l = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2232789 rounded to the nearest 1000?\nAnswer: 2233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/6)\/((1254\/(-495))\/(-38))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 3\/7, -4, -1, -8346, 0.07, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of j**8\/5040 + j**7\/2520 - j**3\/3 + 3. Let n(l) be the third derivative of a(l). Factor n(s).\nAnswer: s**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*x - 15, 0 = -5*m - x + 16872. Is m a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 463493994371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 4:56 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.04, -5\/4, 0.06?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145957 is divided by 48445?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22*96\/(-176)*(-16)\/(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 856657.809ns in weeks?\nAnswer: 0.0000000014164315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) -1.2  (c) -0.12  (d) -4  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1334.99167 + -1335. What is c rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 7 + -2 + -4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -27\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -14933, -29863, -44797, -59735?\n\"Answer: -2*i**2 - 14924*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 PM and 6:53 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of 0*m**2 + m - 4\/3*m**3 + 0. Let o(g) = 3*g. Let w(b) = 5*h(b) + 14*o(b). Let d(a) = 3*a. Determine w(d(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101100010010111000110 (base 2) in base 7?\nAnswer: 122546051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 22*q - 2. Let r(v) = v + 19. What is r(o(b))?\nAnswer: 22*b + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (61864\/(-10) - -2) + (-4)\/(-10). List the prime factors of c\/(-14) + 20\/(-210)*-3.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1009*z + 2860 = -723*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-16) + 17\/4. Suppose 5*x = -c*z - 20, 5*z - 4*x - x - 20 = 0. What is i in 2*i - 4*i - 3*i**2 + z*i - i = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(3500) + (sqrt(3500) + (1*sqrt(3500) - sqrt(3500) - sqrt(3500)) - sqrt(3500)) + sqrt(3500)))\/(6*-2*sqrt(20)) + -2.\nAnswer: -5*sqrt(7)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-34)\/2*-1 + -1. Is 16 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 2\/21, -2\/19, -68, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -24 + 14623 - 3*2. Suppose s - k = -5*h, -4*h = -9*s + 4*s + 72907. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81*m + 188*m + 5 + 245*m - 84*m + 92*m to r + t*m and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -3*c**3 + 6*c**2 - 5*c. Let g(t) = -t**3 + t**2 - t. Let p(w) = -4*g(w) + v(w). What is p(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1159 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/(-6))\/(4\/2). Solve d = -3*c - c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v + 3. Let l = -364 - -368. Determine r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 125, 202, 295, 410, 553, 730, 947?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0  (b) 1\/2  (c) 3\/62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(5\/8)*(n\/(n\/((n**(2\/7)*n*n*n)\/n)*n))\/n*(n\/((((n*n\/(n\/(n\/(n*n**(-3\/2)))))\/n)\/n)\/n*n))**(-24) assuming n is positive.\nAnswer: n**(-621\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -14*x**2. Let q(p) = -185*p**2 - 1. Calculate q(h(a)).\nAnswer: -36260*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 122\/3 + -41. Let m = 20.7 + -37.8. Let t = m + 17. What is the nearest to t in 6\/7, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) + -1)*6 + -3)**2 + ((sqrt(700) + sqrt(700) + (2*sqrt(700) - sqrt(700)))**2 - 4*sqrt(7)*2).\nAnswer: -656*sqrt(7) + 15453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5047 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15319115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 + 19*v - 175. Let k be f(-26). Solve r + 18 = k*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5\/174, 0.04, -4, 3 in decreasing order.\nAnswer: 5, 3, 0.04, -5\/174, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 2*l**4\/9 + 80*l**3\/3 + 302*l**2\/3 - 2612*l\/9 - 2320\/3 = 0.\nAnswer: -116, -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8\/1681  (b) 13  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61 + -60. Let f be ((-4)\/3 + 1)*(n - 43). Solve f = 5*r + 3*j, -5*r + 30 = -3*j - 2*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqlevvqeqkallqe. Give prob of picking 2 e, 1 k, and 1 v.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 601, 600, 599, 598, 597, 596?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (123\/(-328))\/((-2)\/16). Let o(s) = 217*s**2 - 1. Let h be o(1). Suppose -2*k - h = -c*k. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x + 8*x = -6566. What is the greatest common divisor of x and 3082?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -7*x**2 - 3. Let d(q) be the second derivative of 1\/2*q**4 + 0*q**3 - 4*q + q**2 + 0. What is -3*d(p) - 2*l(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 895747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 - 8 - 3 + 5)*(4*i + 0*i + 7*i) to the form c + o*i and give o.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-26)*l*l)\/(l**(-24)\/l))\/(l*l**(2\/55)*l*l**(-14\/9)\/l) assuming l is positive.\nAnswer: l**(752\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 186.47.\nAnswer: -74.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {q: 3, e: 1, h: 5, g: 1, k: 1, v: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 5*p - 28 + 24, -20 = -5*p - 5*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54, 1, 98, 237?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1884 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 3*g - 9, -9 = -3*g - 0*g + 4*s. Find u, given that 10*u**g - 3*u**4 - 2 + 7 - 12*u**4 + 10*u**2 - 15*u + 5*u**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3438 (base 13) to base 6.\nAnswer: -53510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and (6 - 2)*(-35)\/(-20).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -214*r - z = -212*r + 21, 16*r + 12 = 15*r + z for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -98, 0.1, 3.002, 1.58?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 6) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 3 - 3)*(-3*g + 0*g + 4*g) - 5*g**2 + 0*g + 0*g + 0 + 0 + g**2 + g**2 - 5*g**2 + 3*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 0 + 2 = 0. Let o be ((2 - 3)*-5)\/p. Let h(b) = -b + 1. Let u(r) = 3*r - 4 - 18*r**2 + 20*r**2 + 2*r. Determine o*h(s) + u(s).\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}