{"text":"Question: Let c = 156 - 3219\/20. Calculate the common denominator of c and 103\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 4 = -8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/48*-3)\/(115\/(-10)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1021, 432, -155, -740?\n\"Answer: i**2 - 592*i + 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -10*z**3 + 22*z**2 + 15*z. Let s(j) = 3*j**3 - 7*j**2 - 5*j. Let u(v) = -2*g(v) - 7*s(v). Give u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.25 to 1 decimal place.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(28)\/(-2*sqrt(4) - sqrt(4)) + (sqrt(7) - (4 + sqrt(28)\/sqrt(4))) + -1 + ((4 + sqrt(567) + -2)*-1)**2).\nAnswer: -2830 - 535*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**4 + 3*t**2 - 9*t**2 - t + t**3 + 3*t**4 + 3*t to h*t + s*t**3 + a + d*t**4 + b*t**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104718.\nAnswer: 2, 3, 31, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -250, -5, -27299 in increasing order.\nAnswer: -27299, -250, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 971?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 626\/753 - -1\/502. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3612 and 5586044?\nAnswer: 117306924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 10 + 6. Suppose -3*v = -4*s - 2, -s + b = v + 1. Is s - -52 - (-3 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l + 110. Let c = 4500 + -4500. Calculate o(c).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + 21 + 8 + -2 + (0 - 3) + -66.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 274270?\nAnswer: 2, 5, 27427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10784 + 10789. What is the nearest to -2\/9 in z, 1\/28, -6?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1509 divided by -503?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -0.18, -2, 18, -66, 2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 103 = 31. Let d = -35 - i. Let g(a) = 1 + 3 - 4*a + d + a**2. Calculate g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*b + 4*b**2 - b**3 - 6*b**2 + 0*b**3 in the form g + m*b**2 + i*b + j*b**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/19459 and -13\/238815.\nAnswer: 2626965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -805149401 and 0.261707.\nAnswer: -805149400.738293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -71866?\nAnswer: -71872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -52f (base 16) in base 10?\nAnswer: -1327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -32\/7, 0.06, -0.07, 0.5 in ascending order.\nAnswer: -32\/7, -0.07, 0.06, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -7*s**2 + 3*s - 5. Let z be 2*-3*25\/(-30). Let l(c) = 4*c**2 - 2*c + 3. Let d(x) = z*l(x) + 3*k(x). Give d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (135\/(-30) - 0) + (4 - -1). Put -6\/5, f, -0.29, 0 in increasing order.\nAnswer: -6\/5, -0.29, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 239 - 237. Suppose w*i - 141 = 1043. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + g = -309, 5*g = 5*c + 3*g - 1533. List the prime factors of c.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -h + 4*m, -94*h + 90*h - 2*m - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j. Let o(f) = -2*f**2 + 16*f. Determine o(x(k)).\nAnswer: -2*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.443163 millilitres in litres?\nAnswer: 0.008443163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*z - 6*z + 3*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of -37*q**2 + 9\/20*q**5 + 0 - 112*q + 0*q**3 + 1\/3*q**4. What is the derivative of m(b) wrt b?\nAnswer: 27*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -272088b + -8?\nAnswer: -2720896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 + -11. Let z = g + 6. Put -1\/6, -3\/4, z in decreasing order.\nAnswer: z, -1\/6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/17 - ((-594)\/153 + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of 23*i**4\/24 - 11*i**3\/6 - 35*i**2. What are the prime factors of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 3  (b) 235  (c) 216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-18) + 102\/27. Find the first derivative of -2*p**k - 1 - p**4 - 3 wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 2*x + 6. Let h be ((-5)\/3)\/(-6 + 51\/9). Sort h, x, -3 in increasing order.\nAnswer: -3, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 421*a**2 + 848*a - 935. Give g(423).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11745905 divided by -11745905.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 30694.214 to the nearest ten.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3788162, -7576315, -11364468, -15152621, -18940774, -22728927?\nAnswer: -26517080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 692365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (0 + -10 - (16 - 4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114440\/140 - 30\/21 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*x, 6*g = 5*g + 3*x + 44. Suppose 2*p + 2*n = 6*p - 590, 0 = -3*p - n + 455. What is the remainder when p is divided by g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**4\/9 - 100*t**3\/3 - 408*t**2 - 15220*t\/9 - 6850\/3 = 0.\nAnswer: -137, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13.58 - 14. Let r = -1.42 - i. What is the third smallest value in 0.22, r, 4, -2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1663*1*11\/44*-4.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-3) + -2 + -1. Let t be (j\/(-5))\/(1\/30). Calculate the lowest common multiple of 18 and 114\/8 + (-3)\/t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*d - 4*m, -4*m - 19 = 31*d - 36*d. Solve 8 = -2*y + n, -5*y = -4*y + d*n - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33650782?\nAnswer: 2, 11, 1529581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1049.15 - 1042.5811. What is u rounded to one decimal place?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*82.1.\nAnswer: -8.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, u: 2}. Give prob of sequence uu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f - 2. Let t be u(8). Suppose -70 = -t*x + x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/6030 and 49\/10916?\nAnswer: 32911740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -239660 to the nearest one thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 4*l + 4*l)*(-2*l + 0*l + 4*l) + 4 - l**2 - 4 + 4*l**2 - 1 + 1 + 2*l + 2*l**2 - 2*l + 39*l**2 + 2*l**2 + 0*l**2.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17\/6?  (a) -1\/324  (b) -1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 8\/(-9) + (-2)\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - m + 6 = 0, 8*k + m - 26 = 3*k. Suppose -4*g - k*q = -7*g - 2941, -q + 4865 = -5*g. Is g\/(-8) - (-2)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6642872365 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45053 by 5.\nAnswer: -45053\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**3 + 1950*q**2 + 64715*q + 227340.\nAnswer: -5*(q - 421)*(q + 4)*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**3 + 492*c**2 + 7139*c - 7632 = 0. What is c?\nAnswer: -477, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4553370715 - 1376169809 = 11*c. Suppose -5*l - 163199980 = 3*t, -4*l + 71236462 = 4*t + c. Round t to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -55*g**2 - 15*g - 10. Let t(h) = -14*h - 21. Let c be t(-1). Let q be r(c). What is q rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2*(-15)\/(-6)*-2*11 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 - 3 - 1)*(100*z - 100*z - 95*z**3) to g*z**2 + i*z + n + h*z**3 and give h.\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 279, 552, 815, 1062, 1287?\n\"Answer: -d**3 + d**2 + 277*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 5*d**2 + d**2 + 2*d**2 + 9*d**2 + 6*d**2. Let z(v) = 10*v**2. Determine z(b(p)).\nAnswer: 5290*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 251.8433152 rounded to zero dps?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-5)*(-25)\/23*3027\/(-5045)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*l + 4851 = -65*l. Let c = -227 - l. Solve v - 7*v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2127 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3304525 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**3 - 31*y**2 + 20*y - 36. Let n be x(15). Suppose 0 = -n*b + 61 + 56. Solve -10 - 1 = s - b*i, -4*i = -2*s - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/((-294)\/2331))\/((-612)\/408).\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20892368, -83569469, -188031302, -334277867, -522309164, -752125193, -1023725954?\nAnswer: -1337111447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -340*f - 771*f**3 - 239*f + 574*f as u*f**2 + z*f**3 + i + v*f and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 4*h = -2*n - 2, -2*n = -5*h + 4. Suppose 4 = 2*y - 2. Calculate the remainder when (n\/6)\/(1\/8) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 4*h - 15. Determine b(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 + 5*h**2. Let z be 5 - 0\/(-3 + 4). Calculate u(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 736 and 8.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*q**4\/9 + 5222*q**3\/9 - 38524*q**2\/3 + 63680*q + 100800 = 0. What is q?\nAnswer: -5\/4, 12, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 4*a - 83 - 12, -5*a = 5*d - 160. Let c = d + -19. Solve -5*z - c = -0*z - 4*s, -z - 3*s + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**4 + 2*i**4 - 2*i**4)*(8 - 14 - 6) - 2*i + 2*i - 11*i**4.\nAnswer: -35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -378954*g**4 + 8*g - 2288297 wrt g?\nAnswer: -1515816*g**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1166713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88004*l**2 - 87636*l**2 + 174872*l**2.\nAnswer: -768*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 6*n + 1. Give s(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**3*t**2 - 330*d**3*t + 43*d**3 + 180*d**2*t**2 - 2*d**2 - 25*d*t**2 wrt d.\nAnswer: -12*t**2 - 1980*t + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*5*(sqrt(832) - -1*(sqrt(832) + 0) - (sqrt(832) + 0)*-2)*-6 + -5)**2.\nAnswer: -19200*sqrt(13) + 47923225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -146 - -53. Let j = b + 91. What is the closest to 1.3 in 0, j, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -517*g + 6. Let z be y(-4). Let m = 2347 + z. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*g - 4*g - 13 + 6*g)*(-14*g**2 - 30*g + 30*g) in the form x*g + s + j*g**2 + t*g**3 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 63*g = -61*g - 25, -g = k - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35682 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 13. Let a be l(-9). Suppose -a*j = -2*j. Find the third derivative of 22*w**4 - 21*w**4 + j*w**2 + w**2 wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.52 - 0.3. Let y = -0.18 - f. Sort 0, y, -5 in increasing order.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s - 3*x + 1, 3*s + 4*x + 2 = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-5715)\/(-85725) - (-344)\/15\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 0*g**2 + 0*g + 4\/3*g**3 + 5\/4*g**4 + 2. Find the third derivative of r(i) wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84 - 83.7. Let x = -11 - -10. Let s be 52\/13 + ((-32)\/(-5))\/(-2). What is the closest to 0.1 in t, s, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence or when two letters picked without replacement from {r: 2, o: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 45 + -52 - (-3 + -12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - s. Suppose -5*h - u = -h - 47, -1 = -2*h - 5*u. Suppose -h = -c - s. Solve -c = 4*z - 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -54 - -58. Suppose 2*j + 22 = 4*o, -o - 4*j + k = 3. Suppose -o*l - 13904000 = 6*l. What is l rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -8*f. Let w(k) = 608*k + 2. Give w(t(i)).\nAnswer: -4864*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/4*165\/(-66)*-8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 4) + (-9)\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 8*h - 186. What is c(22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1629 + -1627. Solve -x*a + 8 = -2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 13 = -f + 5*n, 0 = 2*f + n - 13. Suppose -f*l + 2*s - 15 = s, -3*s = -4*l - 13. Let w = 0.5 - 0.8. What is the smallest value in l, w, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 0.2, 0.07541?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1018 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-3)*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000155944 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q - 18 - 2*q + q + 19. Let p be -1*2*(-15)\/(-6). List the prime factors of l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 172 divided by 86\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**(-2)*k)\/k)**40)**(3\/14))**(-49) assuming k is positive.\nAnswer: k**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 230 times 12.315\nAnswer: 2832.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + -1743.77098.\nAnswer: -1743.57098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 0*f - i = -126, 3*i = f - 22. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2230125017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54072, 108143, 162214?\nAnswer: 216285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -410.201\nAnswer: -1230.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 206855471\/286 - 723273. Let g = 145\/26 + t. What is the common denominator of g and 47*(-3 - (-186)\/60)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4, 31, 86, 175, 304, 479, 706?\n\"Answer: q**3 + 8*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3463098 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 + -12. Suppose -o = -2*g + 7, g + 7 = -0*o + m*o. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 7:53 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 8, e: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01 or 11.27?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 34560 greater than or equal to 34515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**(-2))**(1\/9)\/((q**(1\/4)*q)\/q**(-3\/7)))**(2\/39))**(-9) assuming q is positive.\nAnswer: q**(113\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 PM and 10:29 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*m - 13*m + 24786 = 0. Sort 3, m, 2 in ascending order.\nAnswer: 2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhuuhuhu. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 97511.31 kilometers?\nAnswer: 97511310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a2d - -1037?\nAnswer: 2a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 = -5*x + 4*w, -3*x + 5*x - 3*w = -35. Let p(t) = 2*t + 65. Let r be p(x). What is the greatest common divisor of r and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11036702, -11036660, -11036590, -11036492, -11036366, -11036212, -11036030?\n\"Answer: 14*l**2 - 11036716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -658 divided by 107.\nAnswer: -658\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1335 - -11978\/9. What is the common denominator of -1*(0 + (-17)\/11) and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*5*(-3 + sqrt(1200) + 2).\nAnswer: -300*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 51127 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddp when three letters picked without replacement from ddpwpwwwwwwp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((90\/663)\/(-5))\/(572\/(-14872))\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -196.8 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - p**2 + 0)*(1 - 5 + 2)*(-37 - 42 + 65) in the form c + y*p + g*p**2 and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(675) - ((sqrt(675) - -1*sqrt(675)) + -4))*3 + 1 + 1)**2.\nAnswer: -1260*sqrt(3) + 6271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 11. Let j be (-10)\/w - 3\/9. Solve j*s + 2 = -13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2543171 (base 9) to base 10.\nAnswer: -1386703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v + 108. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.6 - -1.6. Let c = -5 + 5.5. Let k = c + v. Put 0, k, -3 in ascending order.\nAnswer: -3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 258, 56, -272, 2 in increasing order.\nAnswer: -272, 2, 56, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*u = 230010 + 49810. What are the prime factors of u?\nAnswer: 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**2 + 94*y + 2372. Let o be z(-18). Solve o*k = 61*k + 232 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3997*-0.0255.\nAnswer: -101.9235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 2\/2239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**5\/11 - 9384*f**4\/11 - 74554*f**3\/11 + 1825068*f**2\/11 - 720288*f + 10117440\/11 = 0?\nAnswer: -4684, -20, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -v - 7 - 1, -8*v = -4*v + 40 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 4*m - 15. Let j be q(7). Let f(h) = 23*h**3 + 7*h + 22. Let g(k) = -11*k**3 - 3*k - 11. Let x(r) = j*f(r) + 14*g(r). Differentiate x(p) wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 - (4 + 5 + 18) - -35.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 19174847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 1136?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*y + 182 = -20*y. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*m - 2*m = 232, -3*z + 164 = -5*m. Calculate the remainder when 31 is divided by 0 - (-5)\/(15\/z).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389 is divided by 199?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -4*j - 26, 5*j - 3*t + 2 = -29. Let r = -7 - j. Suppose -8 = 2*w + 2*w, -2*w = 5*q + 19. Sort q, 0, r in descending order.\nAnswer: r, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 26*y - 113. What is the remainder when 930 is divided by f(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0760733 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -7*p**2 + 19*p - 3. Let w(x) = 9*x**2 - 21*x + 3. Let y(c) = -5*q(c) - 4*w(c). Calculate y(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 138 = 2*m, 3*m + 3*c = 2*c + 207. Calculate the highest common divisor of 161 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*5\/(-15)*8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 88\/315 and -79\/1177200.\nAnswer: 8240400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 4*o**2 + 2*o. Let k be r(4). Suppose g - 5*g = -k. Sort -1\/2, g, 4 in ascending order.\nAnswer: -1\/2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.37623 and -0.1?\nAnswer: 0.037623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 827, -5 in increasing order.\nAnswer: -5, 3, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.238 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 237 divided by -4\nAnswer: -237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 + 14 + -12 + -13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8909.\nAnswer: 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61 and 4026?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 86200 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -252 + 618. Calculate the lowest common multiple of 6 and q.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101110010010 (base 2) to base 8.\nAnswer: -5622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, w: 4}. What is prob of picking 4 w?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 461768 is divided by 1499?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3565466 or -3565467?\nAnswer: -3565467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -84221.1 times -33?\nAnswer: 2779296.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -6*u**3 + 235*u**2 - 14*u - 1048. Determine q(39).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-117 + 141591\/1199)*66\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 - 20*m + 5. Suppose -56 = -8*d + 288. Let w = d - 52. What are the prime factors of c(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*d**3 + 10*d - 19*d - 2*d**2 - 18*d**3 - 15*d - 1 in the form x*d**3 + y + r*d + p*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 67*p - 5*p + 4 + 8*p.\nAnswer: 70*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, 3494, 34, 5 in descending order.\nAnswer: 3494, 34, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -73, -85, -95, -103?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.17 + 0.64. Let x = f - 0.94. What is x rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 0*c**4 + 0 + c**2 + 0*c + 0*c**5 + 1\/120*c**6 + 1\/3*c**3. What is the first derivative of b(a) wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 416\/9 - 24\/108. Let m be (-1)\/(-3) - 5\/f. Put 1\/2, 3, m, -0.4 in descending order.\nAnswer: 3, 1\/2, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = a + 4, x + 0*x - 2 = -a. Suppose 0 = f - x. Solve -2*g - 5 = f*g + 3*d, -2*g - 2*d = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 0)*(o - 4*o + 2*o**3 + 0*o) - 79*o**3 + 41*o**3 + 35*o**3 - o.\nAnswer: -5*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 1006732\nAnswer: 402692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-414)\/(-92)*-2*(-2)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 6*j - 2. Let f(x) = 3*x**2 + 3*x**2 + 8*x**2 - 12*x**2. Calculate w(f(h)).\nAnswer: 12*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.46 less than -8?\nAnswer: -34.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -2*f - 82, -f - 56 = -8*o - 33 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 600699 is divided by 119967?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, 0.3, 3 in decreasing order.\nAnswer: 19, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 133 + -154?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g**3 + 2*g**2 + 3*g. Let s(i) = -14*i**3 - 5*i**2 - 8*i. Suppose 4*t = 5 + 7. Calculate t*s(u) + 8*l(u).\nAnswer: -2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*x = -35. Let h = 9 + x. What is the derivative of 2*m**2 - h - 4*m**3 - 3*m**2 + m**2 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -14. Suppose -a*o - 9 = -t + o, 4*o - 6 = -2*t. Find the third derivative of s**2 + 4*s - 4*s + 5*s**t - 5*s**2 wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 216 divide 93171658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -766 + 764. Let d = -5 - -6. Let q(i) = i - 16. Let o(k) = k - 11. Let l(x) = -7*o(x) + 5*q(x). Let j(w) = -1. Give d*l(a) + h*j(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -59766*a**2*i**3*t - 310*a**2*i**3 - 2*a**2*i**2 - 3*a**2*i*t + 6*i**2 + 218*i*t + 1013*i + 2*t wrt i?\nAnswer: -358596*a**2*t - 1860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/10208 and -47\/22.\nAnswer: 10208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -21367.09 rounded to the nearest 10?\nAnswer: -21370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 74215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 7*y**3 + 4*y**3 + 6*y + 2*y - 3*y + 3 as z*y**3 + j + x*y**2 + v*y and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 5*b**2 + 2*b + 10. Let r be c(4). Suppose s + r*s - 24 = 0. Let l(y) = y**2 - 9*y + 12. Let w be l(s). Solve -3*v - 2 = w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4, 24, 72, 160, 300, 504?\n\"Answer: 2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 7034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -339, -681, -1023, -1365, -1707?\n\"Answer: -342*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2216002.688 rounded to the nearest one thousand?\nAnswer: -2216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5414957*m**2*w**3 - 3*m*w**3 - 46*w**3 + 4922*w + 41 with respect to m.\nAnswer: -10829914*m*w**3 - 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -53*t + 92 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -474, -1, -113 in descending order.\nAnswer: 1, -1, -113, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 0, 2*p - n = p. Suppose 1 = -3*c - 4*k - p*k, 0 = 4*k + 16. Let z(q) = -3*q**2 - 5. Let x(r) = -2*r**2 - 3. Determine c*x(t) - 3*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 5*n - 27 = 0, -4*i = n - 53 + 38. Let j be (3\/15)\/((-3)\/(-9)). Which is the closest to 2\/5?  (a) i  (b) 0.1  (c) -4  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1338194?\nAnswer: 2, 11, 13, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54\/11*l - 2\/11*l**5 - 4428\/11 + 116*l**3 + 148\/11*l**4 + 2952\/11*l**2 = 0. What is l?\nAnswer: -3, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - (-3 - 10)) + 0 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 9:00 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzwzwzzzwz. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/5)\/((-4)\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 203 = -0*n. Suppose 5*y - n = -78. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -12*k - 30. Let x(t) = 29*t + 75. Let y(c) = -5*v(c) - 2*x(c). Let u(n) be the third derivative of -5*n**4\/8 - 3*n**3\/2 + 3*n**2. Give y(u(a)).\nAnswer: -30*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -17. Let r = 16.671 - 13.671. What is the closest to 1 in -1\/6, b, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s**4\/7 - 2922*s**3\/7 - 122670*s**2 - 28939494*s\/7 - 7781100 = 0.\nAnswer: -175, -37, -2, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/106096 and -77\/106096?\nAnswer: 106096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + -41 - -29 - -1 - -94.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*w**4 + 2*w - 4*w**4 - 3*w - 1 + 2*w**4 in the form j*w**3 + h*w + c*w**2 + x + q*w**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -6*r**3 - 104*r**2 - 12*r + 45. Let p(d) = -3*d**3 - 51*d**2 - 6*d + 25. Determine 5*m(h) - 9*p(h).\nAnswer: -3*h**3 - 61*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 14 = -3. Solve -12*y + s + 37 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q, 1 z, and 1 s when four letters picked without replacement from {s: 2, q: 4, w: 6, m: 4, z: 1, o: 2}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 26. Let t be (5 + -1 + d)*1. Solve t = 3*r - 2*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -213918 + 375281. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-803)\/(-18370))\/(160\/1120) - 3\/10?\nAnswer: 1\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (1 - (1 + 0)) - (40 - 49)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 74, 288, 644, 1142, 1782, 2564, 3488?\n\"Answer: 71*r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1730207990?\nAnswer: 2, 5, 7, 24717257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -933052, -933054, -933056?\nAnswer: -933058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1250 by -250.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 7690066091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/5922 and -23\/4935?\nAnswer: 29610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -126*b**2. Let h(z) = -23*z**2. Let q(x) = -27*h(x) + 5*o(x). Let v(f) = -3*f + 2*f + 2*f. What is v(q(a))?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 1. Suppose -f = 5*i + 14, f = -i - 0 - 2. Let r(o) = -o + 6. What is f*r(z) - 5*g(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2 and -27698?\nAnswer: 27700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + f = 5*g - 38, f + 4 = g. Suppose 2*d + 60 = g*d - 5*l, d - 3*l - 20 = 0. Suppose 4*s - 420 = -d*s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 97 = -t, 2*t = -2*z + t - 47. Let a be ((-1)\/(-2))\/((-3)\/z). Let w = 42 + -42.2. What is the closest to -1 in w, 1\/4, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -10. Suppose 5*m = -20, 5*m + 54 = 5*t + 9. Find the second derivative of -t*i**2 + 13*i**2 + r*i**2 - 4*i + 13*i wrt i.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1603 - -1603.0000807. Round k to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3\/5)*o\/((o\/(o\/(o*o**(-4))))\/o))**(-38)*((o*o\/(o\/o**(-1\/2)))\/(o\/(o\/(o*o**(-7)*o*o*o*o))*o))**(1\/30) assuming o is positive.\nAnswer: o**(-3343\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k**(-2\/3)\/k))\/(k*k*k*(k*k**(-3))\/k*k*k*k))\/(k**(2\/3))**(-2\/3))\/(k**(2\/19)*k**(-1\/3)*k*k**(-5\/4)\/k*k*k*k**2) assuming k is positive.\nAnswer: k**(-1649\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -48*z**2 + 204*z + 6. Let o be a(4). Solve -o + 79 = -25*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 30 + -15 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 127665 and 1637505?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 126.164 rounded to zero decimal places?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1862 + 1875. Calculate the remainder when 364 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 11, o: 9}. Give prob of picking 1 o and 2 t.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -388 - 9509726.\nAnswer: -9510114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 1\/3, 0.112, -2, -309\/166?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11501 * -0.01.\nAnswer: -115.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - h + 8 - 2*h**2 + (3*h - 1 + 1)*(-2*h + 5*h - 2*h) + 576*h**2 + 2*h + 577*h**2 - 955*h**2 to i*h**2 + p*h + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 2537, 1\/5, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 466030 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44 + -22. Let o = -20 + z. Solve -f = i, 1 = -5*f - o*i + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**3 - 6760*f**2 - 13512*f = 0. What is f?\nAnswer: -3378, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363396 is divided by 113?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 114374692 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyzyyyzzyy.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4\/19  (b) 0  (c) 0.1  (d) -2\/15  (e) -3643\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 + (61 - 114) + 3 + -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 8*w - 6. Let o(j) = -j + 1. Suppose 14 - 2 = 2*r. Let c(f) = r*o(f) + y(f). Let q(h) = -17 - 20 + h**2 + 37. Determine c(q(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s - 3*s - s)*(-4*s + 13*s + 14*s) + 5 - 5*s**2 - 5.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-6)*861\/(-14). Let n = 85 + o. Put -1\/2, -2\/11, n, -2 in descending order.\nAnswer: n, -2\/11, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/((-1)\/((-9)\/(-6))). Suppose 2 = 5*s - 28. Calculate the greatest common factor of w and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 233*d**3 + 11*d + 218*d**3 - 547*d**3. Let z(s) = 47*s**3 - 5*s. Let m(x) = 6*n(x) + 11*z(x). Find the second derivative of m(b) wrt b.\nAnswer: -354*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65400 is divided by 393.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2121200010 + -10?\nAnswer: 2121200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -5*((sqrt(125) - (-3*sqrt(125) + 4)) + -3).\nAnswer: -100*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q**3 + 3*q**3 - 9*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + 5\/2)*2. Let a be 1*204\/(-30) + 84\/(-70). Sort 0, -1, a, z in descending order.\nAnswer: z, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(98)*2 - sqrt(98)) + -5)**2.\nAnswer: -98*sqrt(2) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36895188 divided by -6.\nAnswer: 6149198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c + 4*z + 20 + 2 - 17 = -24, -c - 21*z - 331 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 5*b + 5. Let h be (-2)\/2*((-11 - -9) + 7). Let m be 15\/(-10) - 22\/(-4). Let k(v) = 2 - 3 + 3 - m*v - 6. Calculate h*y(c) - 6*k(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((2 + 3*sqrt(363))**2 - (sqrt(363) + 0)*1).\nAnswer: -6542 - 242*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2489.104 - -2489.5. Which is smaller: i or 17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42655*r - f = -42660*r - 6, 64 = -2*r - 4*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -173 + 299. Let t = 130 - l. Let p be ((-5)\/10*0)\/(-3). Which is the second biggest value?  (a) 5  (b) t  (c) 2\/13  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -2  (c) -3\/19  (d) -1  (e) -0.1  (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 906*k - 16592 + 5720 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**5*x)*x\/((x\/(x**(-1)*x))\/x)*((x*x**(-1\/5)\/x)\/x)\/(x\/x**(6\/5)))\/(x**7*x**(-2\/11))**(-2\/115) assuming x is positive.\nAnswer: x**(-1488\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*n + 59 + 46 - 117)*(2*n - 5 + 5)*(n - 2 + 2).\nAnswer: 62*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 + 3*c - 3. Let x be f(-4). Let h(p) = x - 11*p - p**3 - 10*p**2 + 3*p + p**2. Let u be h(-8). Sort -1, 5, u.\nAnswer: -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10387?\nAnswer: 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -c97 (base 15) to base 3\nAnswer: -10220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5\/(-5) - 1)*(-5)\/2. Suppose -c*l - 151 = -4*f, -3*l + 159 = f + 3*f. Let b = f + -36. Solve 0 = -k - 3*i + 14, -b*i = -3*k + 1 - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17379907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2364 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-6)*l**(-4\/7)*(l*l*l**(1\/4)\/l)**33)**(-28) assuming l is positive.\nAnswer: l**(-1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 444 = -2*y - 5*n, 0 = -3*n + 12. What is the highest common divisor of 29 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2.4, -2\/9, 3\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -1\/2, -1\/1388, 1, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2586162*i**3 + 2474403 wrt i?\nAnswer: -7758486*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -867 + 4?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 16*r**2 + 10*r + 6. Let g(i) = -2*i**2 + i + 1. Let n(d) = -f(d) + 6*g(d). Let k(z) = -2*z**2. Calculate n(k(y)).\nAnswer: -112*y**4 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/4)\/(-3)*42. Suppose 0*h = -2*h + 5*n + 15, -2*h - n + p = 0. Calculate the smallest common multiple of 8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 10815.\nAnswer: 43260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3*y**2 - 3*y**2 + 0 - 2*y**3 + 2*y to n*y**3 + b*y + z + m*y**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 743, 4660, 15281, 35954, 70027?\nAnswer: 120848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 8:42 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.8 + -1.8. Let n = -4 + 0. Let z be 1 + 10\/n - -2. Is y >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 141962, 286118, 430274, 574430?\nAnswer: 718586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 852921 and 5862?\nAnswer: 1705842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*b**2 + 2*b**4 - 47*b + 2*b**3 - b**4 - 131*b**2 + 48*b - 2 to the form a + n*b**3 + r*b + t*b**2 + o*b**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of -3*k**3\/2 + 2*k**2 - 18*k. Let l(v) = -2*v. What is l(j(n))?\nAnswer: 18*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 163.752 rounded to zero decimal places?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 67 - 2618 + 293*b**3 + 2322*b**3 + 155*b**3 + 342*b**3 wrt b?\nAnswer: 9336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 + -3 - (-61 + 67)) + -4 + -31.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/142 and -131\/12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 8*d + 120 = 5*d, -5*m + 3*d + 153 = 0. Let o(p) = 11*p**2 - 5*p - 4. Calculate the remainder when o(-3) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from mummmmmmmumummmummm.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001526218 to six dps.\nAnswer: 0.001526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 5*n**2 - 4*n + 10. Let b(w) = -w**3 + 6*w**2 - 5*w + 11. Let i(d) = -6*b(d) + 7*h(d). What are the prime factors of i(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 25\/2  (b) 2  (c) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/35 + (-9)\/(-195). Put u, -2\/5, 20 in decreasing order.\nAnswer: 20, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5\/2, -6, 4, -15, 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5*-5*(sqrt(80) + (sqrt(80) + -1)**2) + -2*(sqrt(245) - 4*-1*sqrt(245))).\nAnswer: -510*sqrt(5) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, s: 5}. What is prob of sequence sbbs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -38 + -64106?\nAnswer: -64144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1244 and 4665?\nAnswer: 18660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a. Let p(g) = -2*g + 5 - 13 + 3 - g**3 - 5*g**2. Let m be p(-5). Is 4 a factor of d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36417?\nAnswer: 3, 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-6) + (-134)\/(-6). Let f be (6\/(-4) + (-1 - -2))\/((-34)\/272). Solve f*p + c + j = 0, -2*p + 3*c - 19 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - 9*g + 12. What is m(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -3*g + 67. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -44600.345*9\nAnswer: -401403.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*j = -950, -3*r + 515 = -2*j - 423. Let v be r\/(-18) + (-2)\/(-9). Let d = v + 20. Solve -d*m + 2 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3 + sqrt(405) + -2 + -2 + sqrt(405) + (sqrt(405) - -6*(sqrt(405) + 1 - sqrt(405))) + -3 + sqrt(405) + sqrt(405)*2))**2 + -1.\nAnswer: -15552*sqrt(5) + 525455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssy when three letters picked without replacement from csxymmsq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -c**5\/105 - 344*c**4\/21 - 236672*c**3\/21 + 3*c**2 - 62*c. Factor z(j).\nAnswer: -4*(j + 344)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**5\/6 - 17*f**4\/6 - 11*f**3\/6 + 77*f**2\/6 - 8*f = 0. What is f?\nAnswer: -16, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of 79 - 1\/11*f**2 - 1\/22*f**3 - 1\/132*f**4 + 2*f. Suppose y(b) = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 513270 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t**2 + 10*t + 25. Let q(y) = -3*y**2 - 9*y - 24. Let s(l) = -6*f(l) - 7*q(l). Factor s(i).\nAnswer: -3*(i - 3)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 30 = -4*z. Let o(a) be the second derivative of -a**5\/20 + 7*a**4\/12 + a**3\/3 - 6*a**2 + 8*a. What are the prime factors of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42\/12*330\/(-440).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 AM and 2:54 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 - 227\/6. Suppose 3*d + 10 = 4*d + 2*c, 4*d - c - 13 = 0. What is g in 1\/6*g**d + 0 + 0*g + 1\/3*g**3 + r*g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 40*k**2 + 76*k + 1. Let q be n(-38). Let u(s) = s - 1. Let a(j) = -5*j + 1 + 3 + 6. What is q*a(t) + 10*u(t)?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19562182, -78248664, -176059472, -312994612, -489054090, -704237912, -958546084?\nAnswer: -1251978612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 6:31 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/6 + (-14)\/(-4). Suppose 5*h + 276 + 114 = -y*n, h + 3*n = -78. Let g = -33 - h. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l\/(l*l*l**18))*l**(-6\/7)*l*((l*l**(5\/6))\/l)\/l*(l**(2\/41)\/l)\/l assuming l is positive.\nAnswer: l**(31039\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -12 + 4. Solve 2*j - 16 = -z*i, j - 6 = -i - 0*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 30*p + 3*p + 66 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**3)**36*q\/(q**(-6\/5)*q)*q\/(q\/q**9) assuming q is positive.\nAnswer: q**(591\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) -21  (c) 1\/2  (d) 19  (e) -1\/2  (f) 2\/247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 6. Suppose -5*v + 75 = 8*z - 4*z, 3*v = -2*z + 35. Suppose 2*p - z = -3*p. Is 13 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 6*z**2 + z + 6. Let o be p(-6). Let d be (64\/(-48))\/((-2)\/(-6)). Let a be d\/8*1*o - -2. Solve -5*i + r = -a*r + 30, 3*i - 2*r = -19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 459 + 981 = 105*z - 765 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 181 + -1264\/7. Which is the nearest to 12?  (a) g  (b) -7  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -4 - 2, -3*p + 3*s + 27 = 0. Let j = 0.7 - -3.3. Which is the third biggest value?  (a) -4\/3  (b) j  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*g - 46*g + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -44 in 2\/5, -21, 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.09, -1, -1\/8, -348750, -3 in ascending order.\nAnswer: -348750, -3, -1, -1\/8, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9)\/(-18) + (34689\/6 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 1016?\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 8*q - 15. Solve -7 = q*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35149577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -132 and -2435396202.\nAnswer: -2435396334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 417*l**2 - 347*l**2 - 115*l**2 - 2501*l**2.\nAnswer: -2546*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3165\/(-3798))\/((1*(-2)\/28)\/(900\/210)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) 5\/2  (c) 3  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -115.86 + 1.86. Let t = -128 - o. Which is greater: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1137 is divided by 22\/3 - (-2784)\/1044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17380425?\nAnswer: 3, 5, 29, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 435210 and 43521?\nAnswer: 435210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d + 179 - 167, 2*h - 2*d = 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/32, -2\/5, -4, 5, 3\/5, 0.4 in descending order.\nAnswer: 5, 3\/5, 0.4, 1\/32, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 - 35*k + 109*k**4 + 66*k + 4*k**3 - 30*k - 123*k**4 as d*k + h + v*k**3 + x*k**2 + z*k**4 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u - 2*u - 154*u**3 + 188*u**3.\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvo when four letters picked without replacement from {v: 3, o: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.15, -2\/11, 28.6, 3, -0.2, 895?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/1722 and -61\/5658.\nAnswer: 39606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 422 + 3?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1030013112132 + 10?\nAnswer: -1030013112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 13*n**2 + 13*n - 42. Does 58 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -536788.3 to the nearest one thousand.\nAnswer: -537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 - -203322?\nAnswer: 203303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/2 + 23*y\/2 - 30.\nAnswer: -(y - 20)*(y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 10*x - 11*x = 15, -2*x - 5 = t. Suppose 6*u - 3*u - 6558 = 4*n, -n = t*u - 10907. Suppose -u = -2*i - 4*b, 8*i = 5*i - 3*b + 3267. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-18))\/(1\/1). Let s be 45\/100*(2\/(-24) + (-30)\/40). What is the nearest to -1 in -4, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6307, 13193, 20261, 27517, 34967?\nAnswer: 42617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24*((-25 - -24) + (-1)\/(-2)). Is 32\/48 + (-644188)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 43*x + 23. Suppose 0 = 9*w - 2*w + 126. Is k(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 124 + -115. Suppose 0*m - 3*m - d = p, -4*m = -4. Let a be (-4)\/6*18\/p. Which is smaller: a or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(190) + (sqrt(190)*-1 + sqrt(190))*3)\/sqrt(10) + -2))**2.\nAnswer: -64*sqrt(19) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 9, q: 3}. What is prob of picking 1 n and 3 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2266)\/(-3))\/((-6 - (-549)\/(-81)) + 13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 6*u**5 + 57*u**4 - 54*u**3 - 237*u**2 + 48*u + 180 = 0.\nAnswer: -10, -3\/2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 + 4*o - 5. Let f be v(-5). Let w(y) = 18*y + f*y - 1 - 17*y. Let s(p) = -5*p + 10. What is s(j) + 10*w(j)?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1271 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 305078 (base 10) in base 9?\nAnswer: 514435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 6:44 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s + 5. Let k = 988 - 986. Let m(c) = c - 2. Calculate k*x(n) + 5*m(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/3))**(1\/5)*q**(-6)\/q**(-4) assuming q is positive.\nAnswer: q**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, d: 5, k: 3, o: 5, j: 4}. What is prob of picking 1 j, 1 s, and 2 k?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00627303594 rounded to 6 decimal places?\nAnswer: -0.006273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrmwrzozzpprzp. What is prob of sequence zw?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 4*u + 9. Let t be n(-3). Which is the third smallest value?  (a) t  (b) -5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -1151998a?\nAnswer: 11519991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 17*l + 260*l + 17*l - 326*l.\nAnswer: -32*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6562213?\nAnswer: 7, 937459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 3*x + 252, -6*f = -f + 4*x + 315. List the prime factors of 2\/6 - 3066\/f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 761.1897km to meters.\nAnswer: 761189.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -321, -2675, -9071, -21531, -42077?\nAnswer: -72731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of 1\/420*x**6 + 0*x**3 + 0 + 1\/84*x**4 - 1\/105*x**5 + 4*x**2 + 0*x. Factor c(w).\nAnswer: 2*w*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23313030121 (base 4) in base 13?\nAnswer: -84b545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -20500125 - -13\nAnswer: -20500112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -4*k**4 - 41822*k**3 - 313388*k**2 + 543278*k - 188064 = 0.\nAnswer: -10448, -9, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 9*q**2 - 1365*q - 12310. Give c(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -424, -1507, -3312, -5839, -9088, -13059?\n\"Answer: -361*z**2 - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - 10*f - 11. Let k be d(-9). Let u = k - -6. Suppose -c = -5*q + 13, 0 = -u*q - 0*q + c + 11. What is the least common multiple of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 5*y**2 + 2*y - 9. Calculate f(-7).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvj when three letters picked without replacement from {v: 1, g: 1, j: 2, d: 1, y: 1, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1338 by 669.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 829555 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -167 (base 13) in base 7?\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61 + -31. Let z = u + 20. Let f = z + -17. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164 - 181 = -62*z + 77*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/54*-9)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 37896049246 less than -1.438?\nAnswer: -37896049247.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -842b (base 14) to base 16\nAnswer: -58f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*j + 5433 - 5433 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d6f5 (base 16) to base 2.\nAnswer: -1101011011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*z = 208. Let i(d) = d**3 - d**2 - 2*d + 2. Let h be i(2). Is ((-22)\/4)\/(h\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - ((-28)\/(-56) + (-570)\/4). Suppose s*p = 135*p + 2250. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s\/(s\/(s*s**(-2)*s*s))*s**(-11\/2) assuming s is positive.\nAnswer: s**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -9, 5441 in increasing order.\nAnswer: -9, 2, 5, 5441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29728 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**3*v**2 + 2926*b**3*v + 8*b**2*v**2 - 11*b*v**2 - 2*v**2 wrt b.\nAnswer: 6*v**2 + 17556*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5266 is divided by 184?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210*j + 203*j + 226*j + 265*j - 1105*j + 199*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8144 + 8163.129. Let w = k - 0.129. Which is smaller: w or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.5, 51.2, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of z**4\/12 + 2*z**3\/3 - 3*z**2\/2 + z. Let a be (7 - 3) + -4 + 1. Let q(m) = 3 + m - a + 3 - 6. What is o(l) - 4*q(l)?\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 24409, 1\/4, 2, 0.2 in decreasing order.\nAnswer: 24409, 2, 1\/4, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71.58795 grams to milligrams.\nAnswer: 71587.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 - -1)\/(3 - 4). Let m = 40412 - 40412.1. Sort m, -14\/9, 2\/11, s in increasing order.\nAnswer: -14\/9, m, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1452, 1478, 1532, 1620, 1748?\nAnswer: 1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(63)*-3 - sqrt(63))*6)\/(sqrt(81) + sqrt(81) + (5*sqrt(81)*5 - sqrt(81))).\nAnswer: -20*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3467*s + 1258. Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*n + 132 = 64*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -64303469.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 65950549 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 72017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 114\/19031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, 1, 0.02, 1\/6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 11*t**2 + 11*t + 9. Let q be k(-10). Let d be -1 + 3\/1 + -3. Which is the closest to d?  (a) -0.1  (b) q  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*o - 295*o**3 + 5*o.\nAnswer: -295*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*v)*(-12*v + 6958 - 6960 + 442*v).\nAnswer: 860*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 + -14. Suppose 2*w + 5*j = 31, p*w + j - 19 = -5. Let m(d) = -d**3 + 2*d**2 + 4*d - 3. What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2836 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 value of (-3)\/9*60\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2540)\/(-1016))\/(130\/(-12)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 6*1 + 26\/(-52)*4 + 38?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*u + 19*u + 77. Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21143753 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + 0 - 1\/1. Let j = 408 + -409.63. Let m = -1.73 - j. Which is the smallest value?  (a) m  (b) -0.5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of m**4\/3 + 3*m - 1. Let d = 1 - -1. Let u(w) = 0*w**2 + 0*w - 2*w**d + 0*w. Give u(s(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-98)\/4*12*(-26)\/546?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 7*a**4\/12 - 5*a**3\/6 + 2*a**2 + 10*a. Calculate the remainder when 87 is divided by x(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 3 - 1)*(2*y**2 - 6*y**2 - y**2)*(-2 - 2 + 2) in the form o + q*y**2 + b*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**15\/(t*t*t*t**21*t))\/(t**(-16))**(9\/4) assuming t is positive.\nAnswer: t**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (6 - ((-8 - -4) + 8 + -134 + 81))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 140727 * -1500.\nAnswer: -211090500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/4 + 91*v**2\/2 + 2051*v\/4 + 935\/2.\nAnswer: (v + 1)*(v + 11)*(v + 170)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 6*g**2 + 4*g + 3. Let z(k) = k**2 - 69*k - 290. Let x be z(-4). Let f(c) = c**3 + 5*c**2 + 3*c + 2. Calculate x*o(v) - 3*f(v).\nAnswer: -v**3 - 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3896, 4191, 4486?\nAnswer: 4781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -2\/325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-10))\/((-9)\/270)*(14\/33)\/(-7)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*c = 2*u - 10, -3*c - 20 = -2*u. Find f such that -2*f**2 - u - 2*f**3 + 10 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249498687?\nAnswer: 3, 23, 29, 67, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10078 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + h + (-3 - 2 + 3)*(3*h + 0*h - 5*h) + h - h + h + (-7 - 6 - 13)*(3*h - 3*h - 2*h).\nAnswer: 58*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 1517853417?\nAnswer: -1517853415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-366)\/4880*24)\/((-11)\/(-20)).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {v: 1, n: 1, p: 1, f: 1, s: 1, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*v**2\/2 + 4971*v + 284.\nAnswer: (v + 284)*(35*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 3*w + 18 = 0, -5*w = -z + 24 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) -4  (c) 0.3  (d) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of 1\/210*k**7 + 0 + 1\/24*k**4 - k**2 + 0*k**3 + 0*k - 1\/120*k**6 - 1\/60*k**5. Factor w(j).\nAnswer: j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1770737 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3310*t**2. Let w(c) = -12635*c. Calculate w(x(m)).\nAnswer: -41821850*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-2) + (-35)\/2. Let i be (2978\/12)\/(c\/(-48)). Let p = i - 783. What is the common denominator of p and -42\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 0 + 4*(((-6*(sqrt(243)*-2 + sqrt(243)) - sqrt(243) - sqrt(243)) + sqrt(243))**2 + 2 + -2) + -1.\nAnswer: 24296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/42126 and -46\/123.\nAnswer: 1727166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7397 and 78.\nAnswer: 44382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - (-4 + (-844)\/(-116)). Let q = 251\/174 + k. Suppose 0 = 20*y - 0*y. Which is greater: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 4*h**2 + 102*h - 567. Give i(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h**3 + h**2 - 6*h - 1. Let l = -16 - -19. Let u(q) = 11*q**3 - 4*q**2 + 17*q + 2. Let r(v) = l*u(v) + 8*t(v). Calculate r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - ((-966)\/15 - 3). Let d = z - 66. Suppose -d + 0*i + 2\/5*i**2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/260327 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 - 9*i + 19. Let j(r) = r**3 + 5*r**2 + 6*r + 6. Let y be j(-3). Let u be a(y). What is the third biggest value in 14, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2167 + -1314. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and -93351.9313176.\nAnswer: -93347.9313176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -309, 12, 5, 4, -3 in ascending order.\nAnswer: -309, -3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 14) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - i - 5. Let q be y(0). Let x = q - -29. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-1 - (-6)\/4). Let a be 3 - (1 - 1)\/m. Let k be (3*1)\/(5 - 4). Does a = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*v - 0*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n - 50. Let u(p) = 6*p - 100. Give 5*t(s) - 3*u(s).\nAnswer: -3*s + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174*p**3 + 84*p**3 + 88*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -12320?\nAnswer: -12319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-224)\/105 - -2)\/((-1)\/(-3)). What is the second smallest value in 0.2, -1, s, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5 = 0, -6*j + 49289495 = -4*j - s. Suppose -5*r + j - 151644750 = 0. What is r rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*s - 4. Let f be 0*s\/(2\/(-2)). Suppose -2 = -4*v + 3*q, 3*v + 3 = 148*q - 145*q. Solve v*r = -f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-70)\/(-42))\/(5\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -4*h**2. Let q(o) = 13*o + 4. Determine l(q(k)).\nAnswer: -676*k**2 - 416*k - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-4) + 2 - 4*(-78)\/48.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 35.79 and -0.25266.\nAnswer: -9.0427014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 5*g**7\/126 + g**6\/90 + 16*g. Suppose m(c) = 0. What is c?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -300212113 (base 4) in base 7?\nAnswer: -1456234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -x - 63. Solve x = -3*p + p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 + 42 = 5*m. Let w be (-16)\/(-56) - 6\/m. Which is the nearest to -0.1?  (a) w  (b) 3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 220 = -2*t, -3*t + 279 + 51 = -4*y. What is the remainder when 1754 is divided by t?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2841027, -2841026, -2841025?\nAnswer: -2841024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-178)\/(((-252)\/18)\/7)*((-42)\/(-6))\/(-7).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + -2*sqrt(272) - sqrt(272))\/sqrt(8))\/((sqrt(2) - (sqrt(4)\/sqrt(2) - sqrt(2)))*-5).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -198.8677407 + 13.\nAnswer: -185.8677407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*f**4 - 6*f**2 - 8*f**4 - 3*f**4 + 10*f**2 - 2*f**3.\nAnswer: -2*f**2*(2*f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 1, 2, -5, -39, -6 in increasing order.\nAnswer: -39, -6, -5, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -89 - -56 - (2 + 11).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**5\/60 + 7*p**4\/24 + p**3\/6 - 12*p**2. Let f(j) = 3*j - 5. Let s be f(4). What is r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12 - -1d?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004298 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 390 = -c, l - 3*l + 249 = 3*c. Let k = 139 + 191. Let v be -2*l\/k - (-6)\/33. Which is smaller: v or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + 7*d - 5. What is i(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/((-32)\/12))\/((-3)\/12). Suppose 10*g**2 + 68*g - 18 + 2*g**a - 31*g - 31*g = 0. Calculate g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*o**3 - 3*o + 0 - 1\/2*o**2.\nAnswer: o*(o - 3)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 1\/6  (b) 67  (c) 0.14  (d) -1  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - m**2 + 7*m + 3. Let f be j(-3). Factor 5\/4*h**5 + 0*h + 0*h**2 + f + 3*h**4 + h**3.\nAnswer: h**3*(h + 2)*(5*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, x: 3}. Give prob of sequence ttt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/((-5370)\/(-56)))\/((-250)\/625). Is -1 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 5, -190.3?\nAnswer: -190.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 - -14. Suppose 0 = -v*f + 5*l + 7, 2*f + 4*l = -0*l + 16. What is the second derivative of -7*s**2 + f*s - 3*s - 10*s**2 - s wrt s?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 6:38 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 67.1 - 4.1. Let n = 2456 - 2460. Let s = n + r. Which is the smallest value?  (a) s  (b) -0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (8 - (15 - -5)) - (-3 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 - 172. Let j = h - -140.07. Let d = 0.07 - j. Is d less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3238972 divided by 5\nAnswer: 3238972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -414377?\nAnswer: -414377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -536, -773, -386, 937, 3508, 7639, 13642?\n\"Answer: 52*x**3 - 601*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((0 + (sqrt(980) + (0 + sqrt(980) - sqrt(980) - sqrt(980))*1 + sqrt(980) - (4 + 2*sqrt(980))))*1)**2.\nAnswer: 112*sqrt(5) + 999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 179. Suppose 0*f - 5*f = -a. Suppose 0 = -z + l + 25 + 37, 24 = 4*l. Calculate the highest common factor of f and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 1\/7  (c) -152  (d) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-1\/3)\/c)**28\/(c**20*c**(1\/22)) assuming c is positive.\nAnswer: c**(-1939\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-19239973.\nAnswer: 1923997.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 16*t - 2. Let k(b) = -228*b**2. Calculate k(s(a)).\nAnswer: -58368*a**2 + 14592*a - 912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of x**4\/3 + 2*x**2 + 59. Let b(v) = -230*v. Give r(b(n)).\nAnswer: -1840*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of ((-720)\/(-84))\/((-4)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5 + (-1 + sqrt(68) + sqrt(68) - sqrt(68)))**2*2.\nAnswer: 32*sqrt(17) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3953, 3306, 2229, 722, -1215?\nAnswer: -3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 - -28. Let d be ((-4)\/(-6))\/((-94)\/(-30) + h). Does 24 divide 330\/2 + d + (-4)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 1 + 0)*(1 - 3 + 0) + 146 - 31 + 212)*(4*m - 3*m + 0*m - 2*m + 6*m - m + (2 - 2 + 2*m)*(-4 + 4 + 2)).\nAnswer: 2568*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - (-2 - -4))\/2. Suppose -2*t + 0*t + 530 = n. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -227, -240, -263, -296, -339, -392, -455?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 5*o = -0*j - 14, 2*j + 1 = 5*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4140 divided by -65959?\nAnswer: -4140\/65959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 - 497*i - 6 + 985*i - 497*i + (-i - 2 + 2)*(-2*i + 2 - 2) as s + g*i**2 + t*i and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -603 + 613. Put 0.4, v, 1, -0.07 in descending order.\nAnswer: v, 1, 0.4, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 787240.\nAnswer: 2, 5, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-50346)\/11188)\/(6\/76)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of -2\/21*l**3 - 11*l - 1\/42*l**4 + 1\/35*l**5 + 0 + 1\/105*l**6 + 0*l**2. Suppose z(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -81*w**4 + 445*w**3 + 96*w - 22088049 wrt w?\nAnswer: -324*w**3 + 1335*w**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 142.74754 to the nearest integer.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 117779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 + 4*k**2 - 6*k - 2. Let j be x(-5). Suppose 0 = -j*p + 22767115 - 867115. Round p to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 731 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (91322\/4744)\/(1\/(16\/2)). Solve 4*v = 26*v - y for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -967 times -0.28?\nAnswer: 270.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 55*h. Let t(x) = -12*x**2 - 1940. Calculate t(f(y)).\nAnswer: -36300*y**2 - 1940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1280*q**3 - 33279*q**2 - 216294*q + 169.\nAnswer: -(q + 13)**2*(1280*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -681 - -678. Let p be (1 - 0)*(1 + -6). Let c be p\/30*h*6. Solve -4*d = -5*g + c, -3*g - 2*d = 2 + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of -3\/4*x**2 + 1 - 1\/5*x**5 + 3\/8*x**4 + 1\/2*x + 1\/6*x**3. Find v such that q(v) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15448132, 15448131, 15448130, 15448129, 15448128?\nAnswer: 15448127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3694296*a - 3694295*a + 7388591*a - 2*a**2 + a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (50\/(-14) - -2) + -7 + 8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163847.\nAnswer: 163847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t = 4 + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 92 = 2. Let n be (2\/6)\/((-2)\/a). Suppose 5*o - 9 = 41. Put o, 2, -4, n in ascending order.\nAnswer: n, -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 + 32 - 100 - 90*l + 28.\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**2. Let u(y) be the first derivative of y**5 - 2*y**3\/3 + 13*y**2\/2 + 21. Let p(l) be the third derivative of u(l). Calculate p(a(m)).\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -37 + 74. Suppose -5*a + 12 - r = 0, 19 = 2*t - 5*a. Let k be (-1 - t\/1) + 10. What is k rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r**3 - 17*r**2 - 3*r + 3. Let h(a) = 2*a**3 - 17*a**2 - 2*a + 2. Calculate -4*h(j) + 3*w(j).\nAnswer: -2*j**3 + 17*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1613?  (a) 0.3  (b) 1\/9  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38071\/89110 - -17\/12730. Factor o*z**2 - 156\/7 + 72\/7*z.\nAnswer: 3*(z - 2)*(z + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.121 and 0.9?\nAnswer: -0.1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/27?  (a) 0.3  (b) -2\/49  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2313 + -1012134330?\nAnswer: -1012132012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003582769 rounded to 7 dps?\nAnswer: 0.0003583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/3 + 53*c\/3 + 52\/3.\nAnswer: (c + 1)*(c + 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7129 - 7172. Is v > 10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 23624.61 and -0.57.\nAnswer: 23624.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3554 and 0.3?\nAnswer: -1066.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4\/2 + 1494*h**3 + 1090331*h**2 - 38376378*h + 659821969\/2.\nAnswer: (h - 17)**2*(h + 1511)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000853713638 to five dps.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w = -8 - 48. Let f(i) = -1824*i - w*i**2 + 1824*i. Let t(g) = g. Calculate f(t(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 1)*(s + 2*s - 5*s) + (1 + 3 - 5)*(-s - 36*s + 17*s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 127*s**4 - 77*s**4 - 71*s**4 + (-2*s**2 - s**3 + 2*s**2)*(4*s - 5*s - s) + (2*s**4 - 3*s**4 + 4*s**4)*(1 + 1 + 1) - 3*s**4 + 5*s**4 - 3*s**4.\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010062373 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -d - 15, -2*w - d + 14 = -3*d. Let t = 14 + -9. Which is the closest to w?  (a) -1\/5  (b) t  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 497655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -0.03, 24, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 10*q - 2. Let d be j(2). What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 232 = -17*m. Suppose -80 = -d - 3*d. Calculate the greatest common factor of m and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.44 + 16.44. Let t = 16.0000064 - b. Round t to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kiki when four letters picked without replacement from kicicckcccckckcckk?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0093*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 + 9*p**2 - p + 10. Let f be a(9). Let m be f + (-2 - -2 - 0). Let z be m + 22 - 4 - 1. Calculate the greatest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -o**4\/12 - 2*o**3 - 4*o**2 - 7*o. What is the units digit of i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -319, -611, -891, -1153, -1391, -1599, -1771?\n\"Answer: f**3 - 299*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 295 = 405. Suppose 670 = 3*h - t. Suppose 3*s + 60 = h. Calculate the greatest common factor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2601 and 310131?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l. Let x(s) = s**3 - s**2 - s + 2. Let w be x(2). Let u(f) be the second derivative of 0*f**2 + 0*f**3 + 0 - 1\/4*f**w + 2*f. What is m(u(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 5*b**2 + 4*b. Let u(n) = 4*n**2 + 3*n. Let z = 23 + -27. Let s(p) = z*u(p) + 3*l(p). Let h(t) = 5*t. Calculate h(s(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -282*x**2. Let p(h) = 7*h. Calculate p(v(r)).\nAnswer: -1974*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 813 and 2863386?\nAnswer: 2863386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6715 is divided by 2950?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.27 + 16.23. Let c = q - 17. Sort -3, -0.01, c.\nAnswer: -3, c, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 equal to 299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/8 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222102200022 (base 3) to base 11.\nAnswer: 325984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1115878406 and 6418?\nAnswer: 6418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 3.5. Let u = -1041 - -1040.6. Suppose -3*o + 45 = -5*s + 2*o, 13 = -s + 2*o. Which is the second smallest value?  (a) k  (b) u  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 22.2. Which is the biggest value?  (a) 15  (b) 0.4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 9*f. Let v(n) be the second derivative of n**3\/6 - 7*n. What is v(y(d))?\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*q**2 - 16937860*q**3 - 4*q**2 - 4409*q + 16937879*q**3 + 32*q**4 wrt q?\nAnswer: 384*q**2 + 114*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from flliilvlvliiivibvilb. Give prob of sequence lif.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -21939*w**3 + 4*w**2 + 6*w + 3. What is the units digit of j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*t + 2*t + 4*t)*((-1 + 0 + 0)*(2 + 1 - 5) - 3 + 2 + 6)*(-3*t - 16*t - 2*t) to b + y*t + i*t**2 and give i.\nAnswer: -1617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (560\/(-21))\/(-10)*(-6)\/(-4). Let d be (36\/(0 - i))\/((-6)\/9). Which is smaller: d or 15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) -0.5  (c) -0.3  (d) 331.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 27*x - 101. What are the prime factors of p(17)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -164, -162, -160, -158?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9246 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14970)\/25449*884\/(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzqx when four letters picked without replacement from {q: 5, p: 1, x: 4, z: 1, t: 1}.\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 1bcb6?\nAnswer: 1bcb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -166 divided by -79\nAnswer: 166\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 140 + -2102\/15. Let w = 15 + -9. Put w, -1, q in increasing order.\nAnswer: -1, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10521 and 1089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 6*w**3 + 449*w**2 + 7710*w - 858. What is j(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(-2*b**3 - 2*b**4 + 2*b**3).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2595*c + 2600*c - 5193*c. Let f = -16 - -23. Let g(o) = 4*o + 0*o - 4*o + f - 3*o. Determine g(l(u)).\nAnswer: -6*u + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1862780306.\nAnswer: 2, 41, 337, 67409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40257)\/252)\/213*24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -890.47?  (a) 4  (b) -3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 6*k - 49. Let h be t(10). Let z(i) = -344*i**2 + 344*i**2 + 11*i + 6*i**3 + h. Let x(w) = w**3 + 2*w + 2. Determine -11*x(d) + 2*z(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 90689899 a multiple of 2264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = 3*a - 2*x, -3*a - 5*x - 81 = -4*x. What is the units digit of a\/12*32*(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12101678101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 273 - 188. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 1383*s + 1424. What is the hundreds digit of v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001100000 - 1001010110010000?\nAnswer: -1001001100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/81*(-2)\/((-40)\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42.38107 grams to nanograms.\nAnswer: 42381070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -164*f**3 + 4 + 163*f**3 - 5*f**2 - 3*f**2 - 4*f**2. Calculate the remainder when v(-13) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 287*m - 47. Let r be n(1). Calculate the highest common divisor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188 = -2*k - 4*n, -2*n = -k + 2*n + 112. Let s = k + -57. Suppose -42*q + s*q - 165 = 0. What are the prime factors of q?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*j, 60*l - 6 = 56*l + 2*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -102396, -79714, -18150, 101736, 299384?\n\"Answer: 3240*i**3 + i**2 - i - 105636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-9\/4)*k\/(k\/(k**(2\/3)*k*k)))**(1\/7) assuming k is positive.\nAnswer: k**(5\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -180724 smaller than -180073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1822397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 - 27 = -4*z. Calculate the least common multiple of 14 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*a - 11970 = 37*a. Suppose -11*f = 8*f - a. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 5*b**2 - 5375*b = 0.\nAnswer: 0, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3*(sqrt(17) - sqrt(51)\/sqrt(3)))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -577\/13 + 9292\/195. Find the common denominator of b and 6825\/(-819)*(-156)\/2460.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8823 and 1.6.\nAnswer: -14116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3963848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12.1 - 1.1. Let y = 6.7 - f. Let g = 0.7 - y. Which is the third biggest value?  (a) 0.1  (b) g  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/21 + -3)*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 9843998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43243758?\nAnswer: 2, 3, 2402431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02577596 to 5 decimal places.\nAnswer: 0.02578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 3. Suppose 3*s + 3 = 9. Let y be (2 + 57\/(-27))*2. What is the nearest to s in y, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from -1.45.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kgkg when four letters picked without replacement from {k: 2, p: 1, g: 4, a: 1, i: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12319, 13220, 14121, 15022?\nAnswer: 15923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 8:05 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 214 (base 6) in base 10?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 15) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -74*k + 489. What is o(7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 314747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -117*((-3498)\/(-429))\/(-53)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**2\/7 + 640*k\/7 + 641\/7 = 0. Calculate k.\nAnswer: -1, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 79 + -75. Let c(f) = -f**2 + 5*f + 3. Let a be c(5). Suppose -5*r = y*j - 42, -2*j + 20 = -r + a*r. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -32*w + 8. Let o(m) = 2*m - 1. Calculate -2*f(h) - 14*o(h).\nAnswer: 36*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1 + ((sqrt(475)*1 + sqrt(475))*-6 - sqrt(475))*6 + (-3 + sqrt(475) + -2*(1*sqrt(475) - sqrt(475)))**2.\nAnswer: -420*sqrt(19) + 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u + 9*u**2 + 0*u + (-4*u - u + 3*u)*(5*u - 3*u + 2*u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(80)*2*3 - sqrt(80))*2 + ((sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*2 - sqrt(80))))**2 + -1 - (6*(sqrt(80) + 1*sqrt(80)))**2).\nAnswer: -11445 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that h**2 - 7\/8*h - 1\/4*h**3 + 1\/8*h**5 + 1\/4 - 1\/4*h**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 3*a - 2*x + 250 = 0, -4*a + 259 = -x. Let n be a\/(-10)*4\/(-8). Which is bigger: n or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23 and 2493.\nAnswer: 57339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 486?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37 - -15) + (49 - 8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31919117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21391 - -21621. Calculate the remainder when 1142 is divided by z.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -6*k. Let u(c) = -6*c**2 - c - 4. Let j be u(0). Does 8 divide x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1451571 divided by 3.\nAnswer: -483857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 352 is divided by 72.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 21628 or 21626?\nAnswer: 21628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**3\/13 + 1651984*s**2 = 0. What is s?\nAnswer: 0, 10737896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r**2. Let q(d) = 839 - 35*d + 99*d - 33*d - 30*d. Calculate q(w(h)).\nAnswer: 3*h**2 + 839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 times -0.17?\nAnswer: 3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kykkkkkkkkyyyy. Give prob of sequence yy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 102 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*w**2 + 5*w**2 + 3*w**2 - 19*w**2 + 15*w**2 - 45 as u + x*w**2 + n*w and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 6 - 25 - (-58 + 71).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 5*i - 106 = 0, 222 = -b + 6*b - 3*i. Let v be (-40)\/(-14) - (-6)\/b. Suppose -2*o + v = o. What is the greatest common factor of 11 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 664*d - 666*d - 43 - 20 - 59 to f + u*d and give f.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 2\/30417, 3, 2\/195 in decreasing order.\nAnswer: 10, 3, 2\/195, 2\/30417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2277.989 millennia?\nAnswer: 27335868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from {f: 2, s: 4, c: 1, u: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 705780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.121 - 0.121. Which is the fourth biggest value?  (a) -18  (b) 0.04  (c) -1\/3  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.9 - -0.9. Let m(s) = s + 61. Let h be m(-14). Let n = 52 - h. Which is the biggest value?  (a) 0.3  (b) n  (c) y  (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.54005 centuries to decades.\nAnswer: 55.4005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1923567 to the power of 1\/2, to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -10\/3249897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.982 + 0.018. Put 2\/21, -5, 0.2, d in descending order.\nAnswer: d, 0.2, 2\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 68 and 134028?\nAnswer: 134028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(143)*-2 + (sqrt(143) - 6*-2*sqrt(143)))*5)\/((sqrt(33) - (sqrt(33) - (sqrt(33) + sqrt(33) + sqrt(66)\/sqrt(2))*4))\/sqrt(3)*1).\nAnswer: 55*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -336.047 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**3\/3 - 534*x**2 - 3*x - 209. Let p(z) = -2*z**2. Calculate p(n(k)).\nAnswer: -8*k**2 + 8544*k - 2281248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 8 - 25 = -w, -2*w + 4*r - 8 = 0. Let o(k) = -117*k + 59*k + 58*k - 3*k**w. Let c(s) = -35*s**2. Determine o(c(n)).\nAnswer: -3675*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -148  (b) 1\/2  (c) 3  (d) 3.1  (e) -1  (f) 0  (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 162.7 - 170. Let l = 7 + v. What is the closest to -1 in l, -0.03, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y**3 - 12*y**2 + 5*y - 10. Let o be t(3). Suppose 3*x - 2*c + 29 = -7*c, -2*c + 1 = -3*x. Sort x, -4, o in increasing order.\nAnswer: -4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1497*(-2)\/3*-1. Suppose 0*t - 2*t = q. Let i = -353 - t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2884089 (base 10) to base 9\nAnswer: 5375203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4311672 and 329084?\nAnswer: 211271928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1767 divided by 431\nAnswer: -1767\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 + 339792*b - 157410792.\nAnswer: 2*(b - 462)*(b + 170358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (-11 - 18) - -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6221 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6686.\nAnswer: 2, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**3 + b**3 + 2*b**3 + (-4*b**3 - 2*b**3 + 4*b**3)*(2 + 0 + 0))*(-2*b - 2*b + 7*b + (3*b - 5*b + 3*b)*(-1 - 4 + 6) - b + 4*b - 5*b).\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxacj. Give prob of sequence jc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1442005427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 178866738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2039 - -2038.8. Let r = 0.7 + -0.38. Let j = r - 0.3. What is the biggest value in j, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 - (-413)\/7) + 0\/1. Suppose 0*c = 31*c - w. Factor 0 + c*s**2 - 3*s - 1\/3*s**3.\nAnswer: -s*(s - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-42)\/(0\/6 - 2\/(-8)). Let x = o - -169. Solve -2*g - 9 - x = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6032869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5709305 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n + 3. Let y(b) = b**2 + 3*b + 4. Let r be y(0). What is q(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g. Let x(q) = -10*q - 26. Let c(i) = -2*n(i) + x(i). Let a be c(-4). Solve a*d - 7*d = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14828317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139*k + 5958 - 2227 = -483*k - 6933 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -100504 - -30904. Round z to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3 + i**3 - 14*i**2 + 4*i + 5*i + 2*i**3 + 5*i**2.\nAnswer: 3*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -5  (c) 60028  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + w - 2, 18*o + 4*w - 8 = 19*o. Suppose o = -12*d + 10*d + 2*u - 8, -4*u + 8 = -2*d. Let p(i) = -i**3 - 7*i**2 + 2*i + 3. Calculate p(d).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of -5*k**8\/336 - 5*k**7\/42 - k**6\/6 + 3*k**2 + 45. Find x, given that h(x) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27811291 is divided by 829.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 193*r - 196*r + 6749490. Let h = r + -844830. Round h to the nearest 10000.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 129795 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -2, -0.1, -733, -0.3, -211?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 261853 and 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*l**2 + 11*l**3 - 4*l - l**3 + 40*l**2.\nAnswer: 10*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-70)\/(-30))\/(1\/15). Suppose -8*o - 11 + q = 0. Calculate the remainder when 4 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27820 divided by -130.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -148902204 by -1.\nAnswer: 148902204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f + 0*f + 5*f**2 - 2*f + 2*f**2 to b + z*f**2 + m*f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, f: 7, b: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 14*o - 17. Let k(a) = -a + 1. Let m(r) = -r**3 + 4*r**2 + 5*r + 3. Let i be m(5). Let l(v) = i*k(v) + t(v). Does 7 divide l(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*z = -124 - 236. Solve 9 = z*u + 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.5 - 1.5. Let k = -24.654 - 0.046. Let t = k - -24. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -580 = -39*r - 77*r. Solve -2*a + 13 = -5*o - r*a, -2*o - 18 = -2*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 150*b**3 - b**2 + 1. Let t be y(1). Suppose -4*v = -0*v - 5*w - 120, -4*w = 5*v - t. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -0.03976.\nAnswer: 0.36024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 - 36*h + 135.\nAnswer: -3*(h - 3)*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide 34798120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 9*o + 7. Let a be (-1)\/4 + 74\/8. Let w be g(a). Suppose 5*c - 17 = -w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 71217 and 2184567?\nAnswer: 268701741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -12 - (-6 - (0 + -2)). Let g be 2\/(-14)*h*14\/4. Suppose g*y - u = 95, -3*y + 0*u - 3*u = -75. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - 11 = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - j - 2. Let u = -2 - j. Calculate the common denominator of 498\/36 + (-3 - u) and 109\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-15) + 8\/(-20). Suppose c = 3*x - p - 6, 5 = 2*x - 2*p + 1. What is the third derivative of -13*o**3 + 6*o**3 + 6*o**3 + 15*o**x + 17*o**3 wrt o?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5028 + 82*a - 10055 + 5032 - 2*a**2 to the form h*a + f + c*a**2 and give h.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -1\/4, 3\/4, -1213, 4\/7?\nAnswer: -1213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f - 10*j = 405 - 702, 0 = -5*f + 2*j - 39 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-4) + ((-513)\/12)\/(-3). Solve 0 = -3*o - 6, 4*n - 5*o - q = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, 2333, -1, 3, -78, -44 in decreasing order.\nAnswer: 2333, 3, 1, 0, -1, -44, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 - 6*g - 6. Let j = -1 - -2. Let u = j - 5. Calculate b(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of 5*j**6\/9 - 38*j**5\/15 + 8*j**4\/3 + 8*j**3\/9 - 5. Let s(g) = 0. What is g?\nAnswer: -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 52072808.\nAnswer: 104145616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**3*p**2 + f**3*p - f**2*g*l*p - 12*f*g**2*p**2 + 7*f*l + 6*g**2*l*p - 2*l*p**2 + 2*l*p wrt p?\nAnswer: 4*f**3 - 24*f*g**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11.12 - 0.12. Let t = r - 8. Which is the second biggest value?  (a) -0.5  (b) t  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 140 (base 5) to base 3\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -9 + 2 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 4:48 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -24. Sort m, 0, 4, 2 in increasing order.\nAnswer: m, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kwa when three letters picked without replacement from wkkfa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19215134 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-175)\/(-560)*38\/5*-2*8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1761*k**2*q*z - 71*k**2*z**3 + 18*k**2 + 14*k*q - 2873*k + 15*q*z**3 with respect to q.\nAnswer: -1761*k**2*z + 14*k + 15*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 80 and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -116153, -232189, -348225, -464261, -580297?\n\"Answer: -116036*i - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1052453497*s*u**2 + 16*s*u - 1049*s + 3075*u wrt u?\nAnswer: -2104906994*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -v - 198. Let g = 66 + v. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 1.8. Let g = 33.1 + -33. What is the nearest to v in -5, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 + 64*h - 101. Give n(-37).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 75843691.7 rounded to the nearest 100000?\nAnswer: 75800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-234)\/(2*32\/(-32)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1527527009?\nAnswer: 1527527009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (6 - 6) - (-8 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 182 - 180.97. Let u = 48.8 - 47.57. Let r = u - j. What is the third biggest value in -3, 11, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-10)\/4)\/((-15)\/36). Suppose -k = -0*k - z. Calculate the remainder when 28 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 3*d - 0*d + 6, 8 = 4*h - 5*d. Let q be -5 - ((-32)\/(-40) + (-132)\/15). Determine b so that -3*b**2 + q*b**4 - b**2 + b**h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 728261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, -5\/3, -4, 0.5, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 1 - 49 = -3*d, -4*s = 4*d - 56. Solve 2*l + 3*l - 4*w = 33, -w = -3*l + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2098*p**6 + 1667*p**6 - 3466*p**6 - 495*p**2 wrt p.\nAnswer: 35880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -982*r + 2006*r - 21 - 1004*r. Let g be d(2). Solve -5*m - 4 + 29 = 0, -4*m = -u - g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/25616 and 13\/240.\nAnswer: 384240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 101738, 0, 139.\nAnswer: 0, 139, 101738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 120 and 4170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (120\/(-9))\/(5\/(90\/4)). Let y = -25 - p. Let q = -13 - -28. Solve -k + 4*h = q, -y = -4*k - 2*h - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1\/610, -0.313 in descending order.\nAnswer: 5, -1\/610, -0.313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -9*y - 34. Let h be z(-4). What is the nearest to 0 in 6, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2309320 (base 11) in base 2?\nAnswer: 1111011001111111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -111, -49, 49, 207, 449, 799?\n\"Answer: 4*d**3 - 6*d**2 + 52*d - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - p - 576 = 0, 0*p + 2*p = 2*s + 278. Let f = s + 148. Suppose f*h = -1 - 24. Let g(u) = u**2 + 5*u. Give g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 65 and 2041.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11*i**3*z - 45675*i**3 - 1342*z wrt z?\nAnswer: -11*i**3 - 1342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -400 (base 6) to base 9.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 6\/13, 2, 0, 1\/7 in decreasing order.\nAnswer: 2, 6\/13, 2\/5, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -31*t - 5. Let d be v(1). Let f be ((-3)\/(-9))\/(-3*2\/d). Put f, -4, 4, 5 in decreasing order.\nAnswer: 5, 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 285 = -x - 19*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*c + 0*c - 4*c)*(2 - 2 + c) - 49*c**2 - 8*c**2 - 23*c**2 as s + y*c + z*c**2 and give z.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 14*f = -22. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/9*(-6)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 3, 8, 5 in ascending order.\nAnswer: -5, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 18*y**3 - y**2 + 2*y - 1. Suppose 5*q = -3*i - 27, -q + 81 = 87. Calculate k(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, 1\/2, 0.2, -0.24, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of r**6\/120 - r**5\/12 + 5*r**4\/24 - r**3 - 204*r**2. Suppose -5*o - 3*n = 9 - 47, 5*n - 40 = -5*o. Is q(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7*(0\/2 - 1). Let v be 1\/2 + 790\/20. Let r = 44 - v. Let n(a) = 5*a**3 - 4*a**2 + 3*a + 4. Let m(p) = 9*p**3 - 7*p**2 + 5*p + 7. Give k*n(f) + r*m(f).\nAnswer: f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*x - x + 120. Suppose 5*p + 1897 = x*p. What are the prime factors of p?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 138 and 27.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z + 108*z + 2119 = -47*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(-8)\/24 + 11\/1. Let o = 0 - 0. Solve 2*s + o = -c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 12*y**2 - 23*y - 149. Calculate the remainder when f(-7) is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-120*b**2 + 1284*b - 1284*b + 0*b**2 + 5*b**2 - 3*b**2 + (-3 + 3 - b)*(3 - b - 3) - 6*b**2 + 2*b**2 + 5*b**2)*(-b + b + 2*b).\nAnswer: -232*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 10*x - 6. Let m be (0*(-2 - 0)\/(-8))\/1. Let r(h) = 2 + 0*h + m - 3*h. Determine -5*q(f) - 16*r(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 153 + -134. Suppose -4*z = -39 + h. Let a(o) = o**3 - 6*o**2 + 7*o - 6. Calculate a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 361*t - 588 + 4692 + 1662 + 145*t wrt t?\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 495799820, 495799819, 495799818, 495799817, 495799816?\nAnswer: 495799815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1147 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 q when four letters picked without replacement from {u: 8, q: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*z + 370 = 25*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -3*o - 2. Let q be l(-2). Suppose -3*r + 15 = 4*n, -3*r + q*n = 2*r - 57. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -p**6\/60 + p**3 - 39*p**2 - 59. Let j(n) = -3 + 3 - 4 + 3. Give 6*j(b) + k(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32524 - 32524.2. Which is the fourth biggest value?  (a) 2  (b) i  (c) -0.4  (d) 0.5  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-32)\/(-5) - (-2)\/(-5). Suppose -q = -g*q. Is 15 + (0 - (q + 2)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 6*o + 3. Let b be j(-6). Suppose n + 4 - 3 = 0. What are the prime factors of 1 + n - (-27)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -362*l**2. Let z(f) = 98870*f. Determine c(z(r)).\nAnswer: -3538650237800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/7, 2, -1, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -11. Let l be (4\/(-6))\/(4\/i). Let x = 4 - l. Solve u = x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 14 = -16. Suppose 12 = -f - f. Is t less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3637 = -4*n + 5*q, 0 = -4*n - 10*q + 7*q - 3597. Let h = -883 - n. Calculate the smallest common multiple of 132 and h.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -20. What are the prime factors of (p\/(-2))\/((-15)\/100)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v - 1. Let z(a) = a**2 + a - 12. Let g(x) = 5*m(x) - z(x). Let t = 29 + -25. Suppose -t*u + 33 = 5*f - 2*f, u + 3 = 3*f. Determine g(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of f**6\/15 + 5*f**4\/12 + 16*f - 16. Let m(p) be the first derivative of n(p). What is the third derivative of m(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -7*v**6\/240 + v**5\/10 - v**4\/16 - v**3\/6 + 5*v**2\/2 - 6*v. Let g(z) be the first derivative of s(z). Solve g(w) = 0 for w.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d**2. Let h(t) = 97*t**2. Calculate h(q(a)).\nAnswer: 1552*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 304*w**2 - 72981 - 306*w**2 + 5573*w - 1917*w - 1597811.\nAnswer: -2*(w - 914)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*(n*n\/(n*n*n**13\/n*n)*n)\/n*n)\/n*n**(-10\/7))\/((n*n\/(n*n**26)*n)\/(n*n*n**(-25\/4))))**(-25) assuming n is positive.\nAnswer: n**(-4425\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**1)**28\/(b**(1\/3)\/b**(-2))*b**(4\/3)\/(b**(-4\/7)\/b)*(b*b\/b**4*b)\/(((b\/b**1)\/b)\/b) assuming b is positive.\nAnswer: b**(207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 7*o = -5*o + 7*o, 2*w = -5*o - 2*o - 26 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z**3 - 44*z**2 - 297*z - 7. Determine y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 + 108. Calculate the remainder when y is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q. Let r = -4 + 11. Let i(w) = -9 - 3*w + r + 2. Let x be (-25)\/10*(-12)\/(-10). Give x*i(b) + 5*z(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 456392 and 4678018.\nAnswer: 18712072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 - 5*w - 5. Let z be m(-5). Let a(u) be the third derivative of -u**6\/120 - u**3\/6 - 2*u**2 - 38. Is a(z) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-42))\/((-1)\/3). Let g = 60 + -61.04. Let o = g - -0.04. Sort m, -0.2, o in descending order.\nAnswer: -0.2, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 13. Suppose -3*q = u + 2*q - 28, 5*q - 46 = -2*u. Let d be 2\/c - 12\/u. What is the closest to d in 4\/7, -1, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 238\/3 - 80. Let j = 1125 + -1121. What is the second smallest value in j, -4, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2 = 2*l. Let k = l + 1. Let r(d) = 3*d - 1. Let z(p) = -p. Let u(h) = -r(h) + 3*z(h). What is u(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.794064 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 2:39 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**5 + 9*p**4 - 137538*p**2 - 1516*p + 26404?\nAnswer: 40*p**3 + 108*p**2 - 275076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 + 68 + 52 + -33?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 125980773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 311*b - 146*b - 158*b + 3. Let i(s) = 22*s + 10. Suppose 3*w + 0*w + 15 = 0. Let z(l) = -l**2 - 3*l + 5. Let j be z(w). Give j*i(f) + 16*q(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.90891405 to 3 dps.\nAnswer: -8.909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1052, -2863, -9390, -18529, -30280, -44643?\nAnswer: -61618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39009546 and 14775.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - y - 4. Let h(x) = 3*x - 21. Let d(v) = v - 5. Let r(q) = y*h(q) - 9*d(q). List the prime factors of r(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 3 - 3 + (-2*u - 2*u + 3*u)*(-1 + 1 - 2) + 5*u - 6*u + 2*u + 0*u - 2*u + 3*u + 220 + 34*u - 220)*(0 - 6 + 1).\nAnswer: -200*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 14104498 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (88\/30)\/(-24 + 1210\/50).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48 + y**3 - 48 + y**2.\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 19*k - 13 = 20*k, u - 3*k = 13. Let g(b) = b**2 + b + 1. What is the remainder when u is divided by g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 2*x**2 + 2*x - 1. Let s = -94 - -89. Let l(r) = -2*r**3 - 5*r**2 + 5*r - 3. Give s*u(f) + 2*l(f).\nAnswer: f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 23*w**2 + 2*w + 4. Let s(n) = -2*n**2 + 2*n - 2. Let i be s(1). What are the prime factors of b(i)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6418252)\/(-14) + (-184)\/322. Suppose 14*t + b = -14754. What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -83*k + 13238. Give s(159).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 0*g - g**2 - 5*g + g + 3 - 2. What is the units digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 9*q + 8*q**2 - 6 + 10 - 8. Is j(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -1. Solve 0 = 5*m + 5*t, 30 = -3*m + 4*t - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand t - 4*t + 2*t - 5*t + 4*t + 0*t + (-t - 2*t + 0*t)*(-2 + 1 + 3) + (-1 - 1 + 3)*(-34 + 34 + 42*t).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10673 is divided by 2668.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 47409 = 5*k, -3*k + 25200 + 3261 = -4*b. What is the greatest common divisor of 87 and k?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 697.2 + -697.7. Let i = 0.5 + 4.5. Which is the second biggest value?  (a) n  (b) -6  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - 12\/(-92)*(-44)\/(-3). Let y = 39\/184 + s. Let x = 279\/22 + -25\/2. Is x >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -l*o - 2*l + 5*o + 854 wrt o.\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -10) + (11 - -11) + -21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of 0*v - 1\/12*v**5 - 5\/3*v**4 + 0 + 5*v**2 - 40\/3*v**3. Let t(j) = 0. Calculate j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 3:51 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*l + 178 - 3. What is the smallest common multiple of 2 and 99 + (10\/l)\/2*-10?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*i + 1 - 1 + 9*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 - 25. Let r = -2 - -2. Suppose -m + 2*s = 3, 2*s = -m + 5*m - 6. Which is the nearest to r?  (a) m  (b) n  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of 0*q - 16*q**2 - 8\/15*q**5 - 19\/60*q**4 + 0 + 1\/3*q**6 - 1\/15*q**3. Find b, given that l(b) = 0.\nAnswer: -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2519451 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*q + 204. Let d be q\/8*2\/(-3). Solve d*r - 5*j + 32 = -8, 4*j = r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3810 and 10?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**3\/7 - 255*x**2\/7 + 258*x\/7 = 0 for x.\nAnswer: -86, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -160595 greater than or equal to -160609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.36 and 4.68.\nAnswer: 1.6848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 10*y**3 + 1832*y**2 - 1414*y + 14. Let k(i) = -2*i**3 - 366*i**2 + 303*i - 3. Let g(o) = -14*k(o) - 3*w(o). Determine b, given that g(b) = 0.\nAnswer: -186, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 417 = 3*o + 476, -4*d = 113*o + 299 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -34*p + 53. Let i be z(12). Let t = i - -358. Solve -30 = 5*l - 2*l - t*w, -5 = -w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(-8) + ((-1060)\/16)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.9 less than -0.8039?\nAnswer: -10.7039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -3. Let q = -15 - -8. Let t(o) = -9*o + 8. Let p(g) = 8*g - 7. Let i(f) = q*p(f) - 6*t(f). Determine i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100111 + -10101?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 11:43 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 498057151.\nAnswer: 193, 2580607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-5))\/((-13)\/65) + -3. Solve s*i + 6*i = -18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -457, -0.5, 1\/42?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/2)\/(81\/(-18) + 0).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -3*z**3 + 963*z**2 + 11883*z + 34965 = 0.\nAnswer: -7, -5, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1503 - -3086. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*f = -55*f + 70 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/15)*w\/w**(2\/7)*(w**(2\/3))**(-17) assuming w is positive.\nAnswer: w**(-374\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7453 - 17829 = -8*m. What is the remainder when m is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*c - 37, 0 = -c + o + 18 - 7. Let a be (-33)\/(-7) - (-4)\/c. Suppose g + 2*g = 30. Calculate the highest common divisor of g and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + 9*n**2 + 7*n - 1. Let d be m(-8). Calculate the smallest common multiple of 7\/(d\/4) + 14 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*i = -4*o + 47*i + 8, o = 5*i - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 9:27 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyppoyppo. Give prob of picking 1 o and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2323537?\nAnswer: 257, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 142262804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 739647.5 centuries?\nAnswer: 887577000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 + 12*f + 4. Let d be c(8). Let i = -12 + d. Suppose 27*v - i*v = 0. Which is smaller: v or 16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 14. Let d(h) = -h**2 + 4*h + 1. Give d(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2379134, -2 in increasing order.\nAnswer: -5, -2, 2379134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**6\/120 - h**5\/30 - h**4\/6 + h**3 + h**2. Let f be w(4). Solve q + 1 = 2*c - 2*q, q = 5*c - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine quarters of a decade in months?\nAnswer: 1770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*q = 30*q + 109*q - 891. Solve 2*h - q = -3*k, -5*h - 16*k + 11*k + 15 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93678639697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*s - 636 - 647 + 1293 in the form n*s + i and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i**2 + 9*i - 2. Let y(x) = -3*x**2 - 4*x + 1. Let z(r) = 3*p(r) + 7*y(r). Give z(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and -2720.05.\nAnswer: -2723.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 4*l**2 - 6*l - 3. Let u be k(-5). Let d(h) = h**u + 2*h**2 - 4*h**2. Let q(c) be the first derivative of -c**3\/3 + 3. Calculate d(q(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q + 53011 = -300329. Round q to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p - 2 + 2)*(0 - 1 + 3) - 3*p + 2*p + 2*p + 1 + 2*p - 1 + 114*p + 1 + 0 - 138*p to the form o*p + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65 - 17. Suppose 0 = -2*w - 252 - p. Is w\/(-35) - 4\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ja when two letters picked without replacement from kkekattkktkjatt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -52748.53\nAnswer: 52747.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b*q*t**3*v + b*q*t*v**2 - 5*b*q*v - 8*b*t**3*v - 14*q*t**2*v**2 - 8*t**3*v**2 - 2*t**2*v wrt t.\nAnswer: -12*b*q*v - 48*b*v - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -25.1 and -1069.\nAnswer: 26831.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.26 - -14.74. Let k = -252.8 + 268.07. Let y = o - k. Round y to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*s - 35*s - 716*s**2 + 716*s**2 - 13*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -42, 7, 358150 in descending order.\nAnswer: 358150, 7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by (-36)\/(-12) + 26\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.06 + 0.06. Suppose 4*m = -5*u + 22, -2*u - 18 = -m + 3*u. Suppose 0*s - i - 4 = -5*s, 2*i = -m. Which is the nearest to s?  (a) -5  (b) f  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 186 divided by -31\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 296957\/54 + -5499. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 + -3560639906878\nAnswer: -3560639906878.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - -4)\/(31\/62). What is the second smallest value in 3, m, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-51 - 66 + 18)*((3*x - 5*x + 3*x)*(0 + 0 + 3) - x - 3*x + 3*x).\nAnswer: -198*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + g + 1)*(4*g**2 + 4051 - 4051 + 6*g**3) in the form k*g**4 + h*g + i + j*g**3 + y*g**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 2296 + 2*o - 741 + 3328 - 119 as t*o + s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1620 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - (-15)\/(-6))\/(6\/36). Let s(m) = m**2 - 5*m - 1. Let x be s(6). Let t = x - 3. Which is the third smallest value?  (a) 2\/15  (b) k  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + m**2 + m + 11. Suppose -u + 27 = 2*u. Let f = 15 - u. Calculate the remainder when o(0) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/3 + 10*s**2\/3 - 28*s\/3 + 8.\nAnswer: -(s - 6)*(s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 3, 210?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 7*z + 26. Suppose -n + 27*x = 22*x - 22, 5*x = 4*n + 2. Let g(v) = 2*v + 9. Calculate n*g(q) + 3*f(q).\nAnswer: 5*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -330, -1473, -3374, -6039, -9474, -13685, -18678?\n\"Answer: -n**3 - 373*n**2 - 17*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/318*(3\/2)\/((-4)\/208)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 11 + 31. Let i(j) = j**2 + 11*j + 10. Let t be i(y). Let m(b) = b**3 - 2*b + 5*b**2 - 4*b**2 + 3*b. Calculate m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*q + 14. Solve 0*j - 3*j - q = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g + 20 = 12*g. Suppose x = -5*w + 63, -5*x - 8 - 2 = 0. What is the remainder when w is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-98 + 97)\/((-1)\/16) + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 405 and 1269.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4168*z + 6732*z + 1176*z.\nAnswer: 12076*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2170956 months to years.\nAnswer: 0.0180913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29126300 divided by 582526.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*i**3 - 414*i + 414*i.\nAnswer: -39*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 10*u**2 + 7*u + 7. Let w(o) be the first derivative of -o**3 - o**2 - 2*o + 6. Let c(b) = 20*b - 434. Let t be c(22). What is t*i(z) + 21*w(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872)*2)**2 + sqrt(156)\/sqrt(192) + sqrt(13).\nAnswer: 5*sqrt(13)\/4 + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p**4*p))\/p)\/p**2)**(-1\/11)\/((p**0\/p)**(-19\/3)*(p**0)**(-1\/37)) assuming p is positive.\nAnswer: p**(-188\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*o - 186 - 174 = 0. Let g(z) = z**2 + 41*z + 292. Let c be g(o). Let k = 9 + -6. Solve -5*p + k*p = c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 26*g**2 + 25*g - 48. Let i be p(-27). Solve -i*f = -f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1346, 5396, 12148, 21602, 33758, 48616, 66176?\nAnswer: 86438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-4))\/((-24)\/(-4752)). Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 176 - 114. Suppose 10*b - 18 = a. Suppose -2*v + 2*n + 18 = -0*v, -4*v = 5*n + 9. Solve -v*y + 20 = -b*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1770 is divided by 250?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - a**2 - 2*a - 1. Let j be h(-2). Let t be j\/9 - (-2)\/9. Let p be (10 + -2)\/(2*t). Is 5\/2 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(931) + 1.\nAnswer: -7*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1.6055nm?\nAnswer: 0.0016055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 92329 or 92444?\nAnswer: 92329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2364589 years in centuries?\nAnswer: 0.002364589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 665926292 to the power of 1\/3, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2673, 5029, 6781, 7629, 7273?\nAnswer: 5413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.2461 - 7.7539. Which is bigger: -10\/29 or z?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = i - 0*g + 2, -3*i - 3*g + 6 = 0. Suppose i = 488*c - 477*c - 2398. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6938*h**2*s**3 - h**2*s - 223735*h**2 + 3*h*s - 2039*s**3 + 2*s**2 + 4*s wrt s.\nAnswer: 41628*h**2 - 12234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 10:54 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/47 in -3049.5, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -126 + 131. Put 6, -11, v in decreasing order.\nAnswer: 6, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y. Let t(d) = -29*d**2 + 6*d - 12. Let n(m) = 28*m**2 - 5*m + 10. Let c(l) = 6*n(l) + 5*t(l). Determine q(c(x)).\nAnswer: -69*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(85)\/sqrt(5) + 4 + sqrt(17) + sqrt(85)\/sqrt(5))*1)**2 + (-1 + (1 + sqrt(833))**2 - (-1 + sqrt(68) + -2 - sqrt(68) - sqrt(68))**2).\nAnswer: -30*sqrt(17) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 100240 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20159\/15 + 1344. Let v(z) be the second derivative of 0 + 10*z - 2\/5*z**2 + 1\/15*z**4 + f*z**3 - 1\/50*z**5. Factor v(o).\nAnswer: -2*(o - 2)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16020 is divided by 7993?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2866 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: Is 250087821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - -1 - 22) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -317919530 > -317919531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 564 - 367. List the prime factors of n.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -0.3?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 30 = -225. Suppose a = -3*o + 92. Solve 3*v + 0*v - 8 = -d, -3*v + o = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.3 + 0.2. Let p = 1.9 - z. Let g = 4 - 3. What is the closest to p in 0.5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5590, -3638, -392, 4142, 9958?\n\"Answer: -h**3 + 653*h**2 - 6242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(((-8)\/(-10))\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -46282 <= -47574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 1376 = 7*x. Let z = 988 + x. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from wwggww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 11*k - 14*k. Let n(x) = -2*x + 4. Let s be n(-5). Solve -k*i = -2*i - 15, -3*c + i = s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16774.\nAnswer: 2, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 2*r + 4*c + 21, 4*r + c + 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 820795 is divided by 912.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 8*n - 7. Let j be c(5). Let h(y) = 2*y + 37. Let u be h(-16). Let w = j - u. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -124231 (base 5) in base 14?\nAnswer: -1b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4653613 and 21413.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 9:48 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q\/((q*q\/(q\/(q**(-24)\/q)))\/q))\/q)\/q**(1\/29))**(-1\/67))**(-37))**(-2) assuming q is positive.\nAnswer: q**(-53576\/1943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -541*r + 4323. Let m be t(8). Sort m, -1.4, 118.\nAnswer: m, -1.4, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14981 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 4*g - 25. Suppose 8*y - g = 3*y. Let h(s) = -s + 7. Let q be h(7). Solve y*x = 4*n - 5, 3*n + x = -q*x - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -8*i - 16. Let b be g(-2). Suppose b = -5*l + 140 + 935. What is the greatest common factor of 86 and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a**4\/5 - 904*a**3\/5 - 2993*a**2\/5 - 1328*a\/5 - 159\/5 = 0. What is a?\nAnswer: -53, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1332421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 + -7. Let r = 109050.39974 + -109036.4. Let m = r - t. Round m to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -5\/4, 2, -20416?\nAnswer: -20416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 + 8. Suppose 2*f = 2*k - 3 - 9, k + 2 = 5*f. Let b be s\/12 + k\/(-48). What is the third biggest value in b, 5, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57033.\nAnswer: 3, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3.27  (b) 2\/7  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 624029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-17)\/(d*d*(d*d\/(d\/d**(-9\/5)))\/d*d) assuming d is positive.\nAnswer: d**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2825 - 24*z**2 - 2827 + 2*z - z**3 + 30*z**2 + 11*z. Give o(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) - (-2 + sqrt(300) + 3)) + 1 + (sqrt(330)\/sqrt(160))\/(sqrt(176)*-3))**2.\nAnswer: 1\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0841739872 to 4 decimal places.\nAnswer: 0.0842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -223*o**3 + 9*o**2 + 9*o + 3. Let b(a) = -112*a**3 + 4*a**2 + 4*a + 1. Calculate -9*b(v) + 4*p(v).\nAnswer: 116*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 2232*m**2 + 304*m + 10 = 0.\nAnswer: -5\/62, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s**3 - 2*s**2 - s + 2. Let z(p) = 7*p**2 + 8*p**3 + 791 - 798 - p - 2*p + 7*p. Determine 7*c(n) + 2*z(n).\nAnswer: -5*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10)\/(0 - -5) - (-1 + -1). Suppose -3*c = 4*r + 16 - 3, -4*c - r = b. Calculate the least common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*w, -4*f + w + 0*w + 9 = 0. Let d(s) = 9*s - 2. Let y be d(f). Is (86 - y)\/((-2)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11, -5, -2, 1\/14, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*r + 3 = a, -2*a + r = -8. Suppose -a*f - 79 = -391. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = n - 7. Solve s + 3*g - 2 = 8, n*g = 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 786209374 not equal to 786209374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4950 divided by 6.\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + b - 4 = -0*b, -2*c = 5*b - 5. Let l = -63 + 100. Suppose 0 = -c*y - 4*p + 729, 4*p - 112 = -y + l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/6*8*(441\/735)\/(33\/15)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -507491, -1014980, -1522471, -2029964?\nAnswer: -2537459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 2*h - h**3)*(2*h**2 - 4*h**2 + 0*h**2) - 203*h**4 + 203*h**4 + 10*h**5 - 36*h**2 - h**3 - 40*h**2 + 84*h**2 + 2*h**5.\nAnswer: 14*h**5 - h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**2\/3 + 144232*r\/3 - 1300179364\/3.\nAnswer: -4*(r - 18029)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 5*a + 33 - 3, -3*l + 5*a = 10. Let k be 3 - (-1 + (0 - -1)). Sort l, k, 2 in decreasing order.\nAnswer: l, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 361331.\nAnswer: 67, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -33202\/5 + 6640. What is the biggest value in 0.2, -5, 27, v, 0.5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/3, 2\/15, -170, -0.117?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5113?\nAnswer: 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 62.9 in decreasing order.\nAnswer: 62.9, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*14\/32*-4. Let f be ((-236)\/r - 6) + 2\/7. Suppose -f*h + 24*h + 840 = 0. What is the greatest common factor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l - 1. Let j(c) = -15*c**2 - 2*c - 8. Let d(y) = -28*y**2 - 4*y - 15. Let k(x) = -6*d(x) + 11*j(x). Calculate -2*k(g) - 4*v(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 5*w - 880, 5*r - 3*w - w = 1405. Let j = r - 154. Suppose -j - 201 = -4*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**2 - 17*v + 10. Let l be p(-9). Suppose 2*a = 2*y - 6, y = 3*a + l - 2. Suppose 5*d + 3*u - 875 = u, -860 = -y*d - 5*u. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4374837 + -0.04855?\nAnswer: 4374836.95145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 25865.069 less than -4?\nAnswer: -25869.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -654, -1134, -1614, -2094?\n\"Answer: -480*s - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2411?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 891 + -1281. What is w rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1759713692.\nAnswer: 2, 11, 39993493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 1:39 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*r = r - 3726, 1244 = i + 2*r. What is the smallest common multiple of 217 and i?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228481333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -441, -457, -501, -585, -721, -921?\n\"Answer: -2*f**3 - 2*f**2 + 4*f - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(637) + -1 + sqrt(637) + sqrt(637) + -5 + sqrt(637) + (sqrt(637) - (1 + sqrt(637) + 0))) + -2)**2.\nAnswer: -3864*sqrt(13) + 92257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4251799.2 * 5\nAnswer: -21258996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 81, -43108, 1\/7?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19662803.\nAnswer: 103, 190901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**4\/13 - 4196*m**3\/13 - 25128*m**2\/13 - 50224*m\/13 - 33472\/13.\nAnswer: -2*(m + 2)**3*(m + 2092)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/144 and 11\/2390880.\nAnswer: 7172640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/6)\/((-4)\/(-6)) - -29. Let a be ((-48)\/(-15))\/(12\/r). Let d(h) = -h**3 + 8*h**2 + 2. Let w be d(a). Solve 4*g = -5*m + 22, w = g - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**2\/9 - 3691382*k = 0. Calculate k.\nAnswer: 0, 16611219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 12 = -q. Let b = -39 + 129. Suppose -39*h = -29*h - b. Solve -q*v + h*v = -5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 618.3559 nanoseconds?\nAnswer: 0.0000006183559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -3\/184, 6?\nAnswer: -3\/184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x = 9*x + 187. What is the greatest common divisor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 43*s + 9. Let b be k(-3). Let o be 3*(380\/b + 1*4). What is m in 1\/2 - 3\/2*m**3 - o*m + 7\/2*m**2 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 93*k**3 + 3*k - 2. Is w(1) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3454\/9 - -384. Which is the nearest to k?  (a) -22  (b) -0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bjbbmbbbjbbjj. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2215040 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.7547 to 2 decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.17 - -16.83. Let f = a - 12. Let k = f - 6. What is the nearest to k in -0.01, 4, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 156, 291, 442, 609, 792, 991?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 7*l + 1)*(1275 - 2574 - 1939).\nAnswer: 22666*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59 (base 10) to base 2.\nAnswer: 111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j - j**2 - 2 - 4 - 8*j. Suppose -3*u = -2*q + 31, 0 = u + 3*q + 2*q - 1. Is f(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 3*p**2 - p - 2. Let f be d(4). Let j = -6 + f. Let w be j\/(-6)*6\/4. Let g(v) = v**3 + 2*v**2 - 1. Give g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1119*k**4 - 294*k - 2 wrt k.\nAnswer: 13428*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15238874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 84\/15 - 4\/(-10). Let n be (y\/(-4))\/(15\/40). Is -2 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(-1) - (2 - 1). List the prime factors of -2*n\/(-8)*121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 551768.\nAnswer: 2, 7, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of 3*y**4\/8 - y**3 - y**2. Let z be u(10). Suppose -2*n + 42 = 5*v, -5*v = 2*n + 2*n - z. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**(-3\/4)*u))\/((u**(1\/16)\/u*u*u)\/u)*u**(-7\/2)*u**2*u assuming u is positive.\nAnswer: u**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.078559 to four dps.\nAnswer: 0.0786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -74 - -79. Suppose x - 2*p - 2 = 0, 2*x - t*p - 14 = -5. Let f(c) = c**2 + 9*c + 7. What is f(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - ((-258)\/(-18) - 42\/18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j - 3. Calculate the remainder when 33 is divided by s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*g**3*r**3 - 19*g**3*r**2 + 12*g**3 - 63*g**2*r - 26*r**3 wrt g.\nAnswer: 30*r**3 - 114*r**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -43.73 and 2.529?\nAnswer: -110.59317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12057 in 1\/6, -2.4, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -3*u**2 - 13*u - 15. Let a(j) = -j**2 - 4*j - 5. Let p(d) = -8*a(d) + 3*t(d). Let r be p(-6). What are the prime factors of 34 - (r + 2) - -3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2179588.\nAnswer: 2, 544897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 54 in increasing order.\nAnswer: -4, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**2 + 106*y + 425. Determine i(-49).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/8)\/((-3)\/(-444)). Let h be 1\/2 + r\/6. Let j = -8 - h. What is the least common multiple of j and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-6*(sqrt(19) - sqrt(76)\/sqrt(4))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 185 + -174. Suppose -z*s - 3800 = -49*s. What is the least common multiple of 40 and s?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, p: 2, v: 4, w: 4, c: 3, e: 3}. Give prob of sequence bc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*p**4 - 14*p - 27*p**3 + 2*p - 1 + 25*p**3 + p**4 to the form x + l*p + u*p**4 + i*p**3 + b*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00248607 to 6 dps.\nAnswer: -0.002486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 37399457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - 16476.\nAnswer: -16476.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 8) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - -3. Let t be ((-5)\/4)\/((-2)\/l). Let d = -9 - -11. Solve 11 = 3*k + 5*j, -2*k - 18 = d*j - t*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -416 - -547.3. Let s = b + -131.2999459. What is s rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -224*l**2 + 315*l**3 + 224*l**2 + (2*l**2 - l**2 - 2*l**2)*(0*l + 0*l - l) to s*l**3 + g + r*l**2 + x*l and give s.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 421*q**2 - 22*q - 4. Let c(d) = -421*d**2 + 18*d + 3. Calculate 5*c(a) + 4*p(a).\nAnswer: -421*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-35))\/((288\/(-63))\/(-8))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 244 = 3*h + h + 246, 2*r - h - 26 = 6*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 10 - 45\/(-27)*-24\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-20) + (1 - (-3)\/(-6)). Factor -i*c + 0 - 1\/4*c**2.\nAnswer: -c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.041 - 0.411. Round h to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 847\/6 + 1\/(-6). Let q = -135 + s. Solve q*c - 9*c = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/4*v**2 - 15\/8*v - 3\/8.\nAnswer: 3*(v - 1)*(6*v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 6:33 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*d - 4529 = 4585. Let b = d - -450. What is the highest common factor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -569 = -40*h - 3*c, -5790*c + 5785*c = 5*h - 85 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 5. Suppose j*h - h - 9 = 0. Suppose h*i + z = 109, -5*z - 12 = -2. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -8644*l - 1918914. Give m(-222).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 0. Let t be (-2)\/3 - (-17)\/12. Which is the smallest value?  (a) -1\/4  (b) v  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 479 > 479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/1 + -3)\/((-4)\/8). Calculate the remainder when (-2)\/((-162)\/6867) + d\/9 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10112120202120 (base 3) in base 11?\nAnswer: 1075561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - y**2 - y. Suppose -23 = -2*m + 5*p, 3*m - 3*p - 4 - 8 = 0. Let v(b) = 2*b**3 + 5*b**2 + 5*b - 1. Calculate m*v(q) - 5*t(q).\nAnswer: 3*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**5 + 0*m**5 + 3*m**5)*(1942 + 1621 - 661 + 696 + 1583).\nAnswer: 5181*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w**2 - 4*w**3 - w**2 + 5*w**3 - 3*w**4 + 4*w**2 to the form z*w**2 + j*w + v*w**4 + r + n*w**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.5772 - 13.6. What is j rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times 1.9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 448 + 167?\nAnswer: 5af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 - 211546695\nAnswer: -211546694.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -497*a + 453*a + 88. Solve -2 = 6*g - a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*y - 98 = j, 5*y - 2*j = 164. Calculate the remainder when 126 is divided by y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -100, 0.1, -3, 2\/3, -10, -1\/7 in decreasing order.\nAnswer: 2\/3, 0.1, -1\/7, -3, -10, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5\/28 of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1535785, -1535870, -1535953, -1536034, -1536113?\n\"Answer: w**2 - 88*w - 1535698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -233 - -232.6. Let u be 2\/5*20\/(-14). Which is the nearest to 1?  (a) -3\/4  (b) p  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 81552, 81556, 81560, 81564, 81568, 81572?\n\"Answer: 4*s + 81548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 167*l + 53. Let f = 367 - 363. What is the hundreds digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4631218 by -2315609.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/3 + 619180*c - 287537904300.\nAnswer: -(c - 928770)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {q: 2, w: 1, r: 2, i: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6536 and -6627.\nAnswer: -43314072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -351 - -515. Let r = -153 + y. Let s(h) = r*h + 5*h - 17*h. Let v(x) = -12*x. Calculate s(v(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 12*r + 12. Calculate k(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 - 28*f - 262. Is a(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 189 and 244902?\nAnswer: 2204118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.7021756009 and 0.\nAnswer: 0.7021756009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2505 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0496044 * -5.\nAnswer: -0.248022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(0 + sqrt(7) + -3).\nAnswer: -9 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (-3)\/(-1 + -2). Suppose -2*p - s*p + 90 = 0. Let w = -188 - -190. Solve -n + 12 = -3*k, w*n + 0*n - p = 4*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 18 = -3*j. Calculate the greatest common factor of j and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 - 2*l + (4 - 4 - 2*l)*(-2 - 1 + 5) - 3*l - 4*l + 5*l + 6*l - 4*l - l - 9*l - 19 + 19 to the form t + p*l and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/27994818 and 47\/561.\nAnswer: 307942998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + -3 + 4)\/((-10)\/(-485)). Let j = c + 7. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -125, -242, -357, -470, -581, -690, -797?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 545.47496 rounded to zero dps?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1502612*x**4 + 5*x**3 + 16753*x**2 + x + 77?\nAnswer: -36062688*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 65337180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1865420395?\nAnswer: 5, 1747, 213557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 759365 and 14790?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 3*d - 6*d + 35, -d = 13*w - 67 + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 4*z - 1010, 3*f - 5*z = 4*f - 512. Let s = -377 + f. Calculate the remainder when s is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 + (-16 + 29 + -6 - -7).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 108*q**5 + 1332*q**4 + 5979*q**3 + 11616*q**2 + 8988*q + 2352 = 0. Calculate q.\nAnswer: -4, -7\/2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -5 + (5 + -2*sqrt(2448) + sqrt(2448))**2.\nAnswer: -120*sqrt(17) + 2467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-3)*1*-25. Let j be a\/5 - (-2)\/(-2). Differentiate -j*u**2 - 18*u + 4 + 0*u**2 + 18*u with respect to u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 11112.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 44*s - 44. Let p(u) = -8*u + 8. Let v(o) = 5*c(o) + 28*p(o). Find the first derivative of v(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -60, -122, -184, -246?\n\"Answer: -62*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2144 and -4?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1383\/(-36))\/((-2227)\/(-524)) + 9.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1182*b - 6279 = 2079*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 189270843 divided by 42333\nAnswer: 4471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**1)\/z)\/z)**32\/(z**(1\/10)*z*z*z*z**2\/z*z) assuming z is positive.\nAnswer: z**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 6:25 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/8, 2\/9, -3, -1, 2\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((61\/183)\/((-1)\/(-6)))\/((-1)\/(-4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.06, -1\/6, -0.1, -0.23 in ascending order.\nAnswer: -0.23, -1\/6, -0.1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 289907307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 3172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1454160565.\nAnswer: 5, 11, 13, 2033791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 78*7\/1274*22\/(-3)*245\/(-10).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/3691 and 1\/33219.\nAnswer: 33219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2226 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 21 = -p, 3*p - j + 2*j = 61. Suppose -8 - 17 = -5*l. Suppose 2 = z - l. What is the remainder when p is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-13)*(r\/r**(-16))\/r*r)\/(r**(3\/5)*r*(r*(r\/(r**(-3\/4)*r))\/r)\/r*r))**(7\/12) assuming r is positive.\nAnswer: r**(77\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 3*c**3 + 27 - 32 + 4.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3 + 3 + -2 + -6*(0 + sqrt(2448)) + (sqrt(2448) - (sqrt(2448) + 1*sqrt(2448) + sqrt(2448))*6)))**2.\nAnswer: 27600*sqrt(17) + 32374900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gv when two letters picked without replacement from vvggvvggvvvvu?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 2*f - 5*b - 17078 = 0, -4*f = 2*b - 34228. What are the prime factors of f?\nAnswer: 2, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10810 - -10774. Sort -1, 0.1, -0.07, v, -5.\nAnswer: v, -5, -1, -0.07, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11248)\/(-2109))\/((6\/(-27))\/(-1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55*b - b**3 - 9*b**4 - 6*b**3 + 2*b**3 + 144*b + 3*b**3 wrt b?\nAnswer: -108*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3550 + -3420. Calculate the greatest common divisor of 310 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(-2 + sqrt(7)))**2 - 5*sqrt(21)\/sqrt(3))*-6.\nAnswer: -2376 + 894*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6979361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - -32. Suppose 4*r + a = 21, 5*a - v - 12 = 0. Suppose 3*n = 12, -r*q + 3*q + 4*n = -1177. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.13 + 146154159.71646.\nAnswer: 146154159.58646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -208039, -207998, -207939, -207862?\nAnswer: -207767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.9 - -1. Let q = 122.107 + -122. Let w = q - -0.393. What is the nearest to 5 in 0.4, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 4*p + 5 + 7 + 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1684)\/(-16) - (1 - 4). Let q = -108 + f. What is the closest to q in 3\/5, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g + 56. Let z be j(0). Calculate the common denominator of -10\/9 and 8\/(-3)*(-36)\/z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-45)\/(-19))\/(-45) + (-742)\/(-16625).\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 5*n - 29, -2*h - 3*h = 2*n - 32. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2106 + 2112 = -2*c - 4*s, 5*s = 3*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 5*p**2 + 16361210*p + 65444760 = 0.\nAnswer: -3272238, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -297613, -595662, -893709, -1191754, -1489797?\n\"Answer: o**2 - 298052*o + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 54045816 to the power of 1\/2, to the nearest integer?\nAnswer: 7352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*x, -18 = -5*c + 5*x + 7. Let o = 1.2 + -6.2. What is the biggest value in 2\/3, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/(-8))\/((-2)\/(-4)). Suppose 0 = 4*u - 5*i + 4*i - 39, u - 14 = -4*i. Solve 0 = -2*f - 2*v - u, 0 = 3*f - w*v + v - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**2 - 13 + s**2 - 8*s - 2 + 12 - 4*s**2. Let w be -1 - (-3)\/((-3)\/5). What is the smallest common multiple of o(w) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**3\/3 + 356*k**2\/9 + 242*k\/9 - 40\/3 = 0.\nAnswer: -1, 1\/3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*a + z + 83 = 0, -a + 25 = -3*z. Suppose -5*t = 2*r - 236, 86 + 44 = r + 4*t. What is the least common multiple of a and r?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from xvuuvuvuvvvvuvvuvvvu.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2119.014027 + 577.4.\nAnswer: -1541.614027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 9*m**2 + 2*m. Calculate g(-3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)\/sqrt(10) + -4)*4.\nAnswer: -16 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24*r**6 + 10*r**2 + 2*r**5 + 2210 - 2210 + 36*r**2 wrt r.\nAnswer: 2880*r**3 + 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**2 + 3*n**2 + 0*n**2 + (-2 + 2*n + 2)*(-n + n + 2*n))*(6 - 6 + 3*n) + 2*n**3 + n - n.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269*v + 304 = -2655 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.60123kg in micrograms?\nAnswer: 65601230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = 25*z - 1203, 4*z + 208281 = 3*u + 208464 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q + 1. Let y = 57 - 35. Suppose -2*v - 2*s = 2*s - y, s = 4*v - 17. Let j(n) = 4*n + 1. What is v*j(f) - 6*u(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u = 2*c - 10*u + 12, 0 = -5*c - 3*u + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10203033321 + 2333?\nAnswer: 10203102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3450 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (12*3\/9)\/(10\/(-4))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 b when four letters picked without replacement from uuuuuubbuuuu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -230 + -1003?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 5*u + 55, -3*a - 55 = 6*u - 2*u. Let w(r) = -4*r - 35. Let t be w(u). Suppose t*m - m = 196. Calculate the greatest common factor of 98 and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169055824.\nAnswer: 2, 7, 1509427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - 6. Suppose a*l + 778 = -377. Let z = -40 - l. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -27651794 greater than -138258971\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of 537*u**4\/4 + 2*u**3\/3 - 10*u**2 - 37*u. Let q be p(6). What is q rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*d - 41*d - 1456 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -235 < -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.6362224 months to millennia.\nAnswer: 0.0002196852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.8150691 to 3 decimal places.\nAnswer: -37.815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 10:37 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.024 - 0.091. Round a to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(5\/4)*s\/(s\/(s**(-2\/5)\/s)*s)*s*s\/s**(-5)*s**4)**(-1\/28) assuming s is positive.\nAnswer: s**(-197\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 65145 and 279?\nAnswer: 6058485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 63 + -37. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 divided by -16351?\nAnswer: -135\/16351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 11  (b) 0.4  (c) -32588\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**2\/4 - 5905*f\/2 + 3104529\/4 = 0. Calculate f.\nAnswer: 269, 11541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {i: 3, p: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/1 - (12 - 1261). Suppose -5*k = -3*i - w, k + 73 = 3*i + 316. Suppose 0 = -t + 4*t - k. Calculate the highest common divisor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -844 divided by 1\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**5\/4 + 7*m**4\/8 - 3*m**3\/4 - m**2\/8 + m\/4 = 0 for m.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 4290.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -269*c + 254*c + 6990. What are the prime factors of c?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 6*l**2 - 5*l - 14. Let w be a(-6). Let k be (-5)\/(w\/(-24)*(-3)\/(-10)). Solve 0 = 4*z - 20, n + 3*z - k = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 1)*(6*a - a - 3*a) - 3*a + 1 + 10*a - 3*a + 228*a - 44063 + 44063.\nAnswer: 234*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.4 + 0.3. Suppose 29*r = 62 + 83. Let d be 5\/((-50)\/58) + r. Which is the nearest to z?  (a) -1\/4  (b) d  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.005 - -21.005. Let k = 21 - f. Let i = -4 + k. Do i and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-220))\/(9\/135*-3).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 7 = -5*x - 2, -x = 4*p - 24. Suppose -n + 3*n - 740 = x*w, w = n - 373. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j - 140 = 0. Let d = -48 - j. Let q = 25 + -19. Calculate the lowest common multiple of q and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -3*u**4 - 780*u**3 + 9657*u**2 - 36570*u + 40800 = 0.\nAnswer: -272, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 907 - 895. Solve 21*c - 24*c = q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 396861 rounded to the nearest 1000?\nAnswer: 397000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(128) + -4*1*sqrt(128) + sqrt(128) - (1 + sqrt(128) + 0 + sqrt(128) - sqrt(128) - sqrt(128)*-1*4))**2*-6.\nAnswer: -37782 - 3360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1018382, 2036767, 3055158, 4073555?\nAnswer: 5091958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198\/(-9) - (-670780)\/22?\nAnswer: 2, 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + -1 + 4 + 1*sqrt(1100)*4)**2 - (-5 + (0 + sqrt(1100) + 5)**2).\nAnswer: 260*sqrt(11) + 38489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**3*n**2 - 1322*g**3*n + 58*g*n**2 - 2*g + n - 2 wrt g.\nAnswer: -12*g*n**2 - 7932*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 11, n: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, 2, 0 in descending order.\nAnswer: 2, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110001011111 + 0?\nAnswer: 110001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13182521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 4*t = -10, -5*s + 2 = 4*t + 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -14 + 26*c**2 - 2*c**2 - 3*c**2 - 9*c - 2*c**3. Let i be x(10). Sort 6\/11, -0.3, i, -5.\nAnswer: -5, i, -0.3, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 - -53. Suppose 3*h - 2*u = 7, -2*h - q*u + 2*u + 22 = 0. Suppose -h*c + 10 = d, -5 - 5 = 2*d. Let f(l) = l**2 - 3*l. What is f(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*h**3 - 2*h**2 + 43*h - 14*h**3 + 1 - 2*h**4 - 3*h**2 + 65*h**3 to x*h**4 + b*h**2 + f*h**3 + l + s*h and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 6) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3295*o + 3275*o = 0. Solve 59*r - 66*r + 7 = o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -61040, -122080, -183120, -244160?\n\"Answer: -61040*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -31155.786 rounded to the nearest ten?\nAnswer: -31160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -17114?\nAnswer: -17116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 + 35*x + 4695. Calculate f(-55).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 15*q**2 + 28*q + 27. Determine r(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(5\/3)*c\/(c\/c**3)*(c**(2\/5))**(-13))**(16\/9) assuming c is positive.\nAnswer: c**(112\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 9*v**2. Let q(j) be the first derivative of -j**2 + 49*j - 476. Determine d(q(s)).\nAnswer: 36*s**2 - 1764*s + 21609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 132*n**4 - 4695*n**3 + 77*n**2 - 514119248 with respect to n.\nAnswer: 528*n**3 - 14085*n**2 + 154*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.878043 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 10 * 131\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -33 (base 14) to base 10\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2 = 4*p - 0, -p + 4 = -4*t. Solve 20 = 5*k, -5*j + 9 + p = -4*k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.227 * 2093283.\nAnswer: -475175.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 305, 307, 309, 311, 313?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 3*l**2 + 1. Let x be b(-2). Suppose -16*p + 10 = -11*p. Solve t - a = -5*a + 10, -p*a = x*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 9. Let l be (1 - (-21)\/(-1))\/v. Let j(z) = 2*z. Let p be j(2). Solve -p*q = q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**2 - 148 + 148 - 2*d - 32*d**4 to the form r*d**3 + t*d**4 + q*d**2 + m*d + u and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 j, and 1 x when four letters picked without replacement from {j: 4, g: 7, x: 1, f: 6, p: 2}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.02945 and 35.\nAnswer: -1.03075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 2*s + 6 - 14, -5*r = -2*s + 9. Let b(l) = -2*l + 17. Let m be b(7). Let g be m - (r - 12\/6). Solve 0 = g*o - 5*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/104 and 109\/2588772.\nAnswer: 67308072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 636 + 116*j - 636 + (23 - 9 - 11)*(-1 + 1 - 2*j).\nAnswer: 110*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of 1\/6*k**7 - 8\/15*k**6 + 7\/6*k**4 + 0 + k**2 - 4*k - 11\/6*k**3 + 1\/5*k**5. Suppose b(v) = 0. Calculate v.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of p**10\/37800 - p**8\/630 + 4*p**6\/45 - p**5\/60 + p**3\/3 - 29*p**2 + p. Let g(r) be the third derivative of j(r). Factor g(o).\nAnswer: 4*(o - 2)**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -24, -1, 823, 3 in descending order.\nAnswer: 823, 3, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/11  (b) -2\/17  (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/1312 and -17\/1640?\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1656 and -2.\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 118b019 (base 12) to base 9\nAnswer: 6381883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-3*11*(-5)\/(-55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 4)*(0 + 1). Let b = -8 + 13. Let l = 3 - b. Is s greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4973 and 1731.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 221 + -135. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**2 + 8986 - 8986 + 3*n**2 + 2*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33269396 divided by 4.\nAnswer: -8317349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 - 2.8. Let d = f - -3.5. Sort d, 3, -3 in decreasing order.\nAnswer: 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -9*k + 13. Let i = -18 - -15. Let q be a(i). Calculate the greatest common factor of 80 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8390 by -1678.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -552?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -887 - -886.99991416. What is p rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - l + 579 = -5*c, 3*l + 3*c - 603 = 0. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -51046\/9 - -5666. Find the common denominator of -5 - -10*(-18)\/75 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 15 = 2*b, -3*b = -115*l + 116*l - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/108 - 1*1\/(-4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -946 + 3674. Is f a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-41)\/14)\/((-2690)\/(-37660)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((((sqrt(242) - sqrt(242)*2) + -3 + sqrt(242))*-4)**2 + (-2*(sqrt(242) + 2) + 1)**2)*-1.\nAnswer: -1124 - 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-13)\/(-4)*1*(7 - -1). Suppose -4*b = -2*b - 12. Is (-2)\/b*w*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-64)\/(-16))\/(-2*(-1)\/4). Solve -o*f + 11*f - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, j: 3}. Give prob of sequence jllj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(-2\/3)*p)\/p*p**(-2))**(1\/80))**(-3\/7) assuming p is positive.\nAnswer: p**(1\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164*j + 160*j + 12 = 0. Let x(o) = 3*o - 2. Let f be x(2). Let r = -1.9 + 2. Put f, r, j in descending order.\nAnswer: f, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 262*g**2 + 6555*g - 735. Determine z(234).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 24*m**2 - 197*m - 36. Let z be l(32). Which is smaller: 1851 or z?\nAnswer: 1851","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 11 - 5035*k + 1 + 5038*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 7) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6715612973 - -0.1.\nAnswer: -6715612972.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 20 + 2)*(0*n - 3*n**2 + 0*n)*(2*n**2 - 2*n**2 + 2*n**2).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, h: 1, t: 2, s: 4, o: 2}. What is prob of sequence ho?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3858000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -114 + 117. Suppose 0 = t*a + o - 57 + 4, 55 = 5*a - 5*o. What is the least common multiple of 4 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 12:19 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -10. Let c(s) be the first derivative of -1\/3*s**3 + 107 - 3\/2*s**2 + 5*s. Give c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 56378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -32303*i + 7. Let f(d) = -24223*d + 5. Calculate 11*f(v) - 8*s(v).\nAnswer: -8029*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 2 + (3 + -1 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-15))\/(36\/30).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - -2124.91673?\nAnswer: 2124.71673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of 1\/120*c**6 + 0*c**3 + 4*c**2 + 0*c**5 + 0 + 7\/24*c**4 + 0*c. What is the second derivative of k(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 + 1)*14\/21. Suppose -v*g - 2 = -2*h, 7*h - 14 = 2*h + 2*g. Suppose 3*l = h*c + 88, 0*l + 3*c = 3*l - 84. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**3*o*o\/o**(-5\/4))**(9\/4)\/((((o**(-1)\/o*o)\/o*o)\/o*o*o)**(-21)\/(o**3\/o**(-2\/9))) assuming o is positive.\nAnswer: o**(2489\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 8882171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from oaogmeg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 336, 347, 360, 375, 392, 411?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 11) + (-14 + 0 - (8 + -19 - -14))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 170838 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2225*o + 2273*o - 4656*o - 45*o**3 to the form f*o**2 + t*o + y*o**3 + s and give t.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.5 + -7. Let u = 42.4 - 2.4. Let f = u + -40.2. Which is the second smallest value?  (a) 4  (b) f  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**2 + 0*t + 2 - 1 + 2*t)*(2 - 2 + t).\nAnswer: -5*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/9 and ((-38)\/(-12))\/(13\/(-39)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4525519 divided by -8891\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 709053, 1418181, 2127387, 2836671, 3546033, 4255473?\n\"Answer: 39*f**2 + 709011*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -17 + (-6 + (-5 - -18) - 10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13 - 13 - 2*w - w**2 + (1 - 2 - 1)*(-2*w + 2*w - 2*w**2) + 0*w**2 - 2*w**2 + 3*w**2.\nAnswer: 4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 26\/(-30) - (-3 + 28\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 7416, 1\/4, 4, 0.199, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 3435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 324746791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -107, -12.\nAnswer: -107, -12, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 446 + 100 = 5*h, -3*h - 2*x = -334. Suppose -3*s - 5*j + h = 0, s + 5*j + 57 = 107. Calculate the greatest common factor of s and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k**3 + k**3 + k**3 + k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5c68aa46 + -5?\nAnswer: -5c68aa4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 + 0.2. Let y = b + -0.3. Let w = y - -0.2. What is the biggest value in w, 1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*j + 33*p + 72 = 31*p, 156*p - 49*p = -5*j - 2232 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 71, 2\/9, 1\/10, 2\/21, -0.122?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqrfrfrfqqrhqqff. Give prob of sequence fq.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 5*p**2 + 2*p. Let t(r) = -21*r**2 - 9*r. Let y(b) = -b**3 - 5*b**2 + 4. Let m be y(-5). Let l = m + 9. Suppose -23 = 4*x + l. Give x*a(o) - 2*t(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus -0.048118765?\nAnswer: -0.351881235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35473878.\nAnswer: 2, 3, 11, 179161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43 + -28. Let x = h + 17. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/8 and 123\/250.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 1.92. Let k = 2.92 - a. Let q = 0 - -0.4. What is the biggest value in k, -0.4, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d + 11. Let x(u) = -u + 6. Let j be x(3). Let y(c) = -4. What is j*i(z) + 8*y(z)?\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001108437605 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 9:20 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, w: 5, p: 2, r: 9}. What is prob of sequence rwir?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/1*(-4 - -14 - 8) + -4. Solve 0 = 11*c - 8*c - h + 5, -g*c - h - 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 6 = -2*i, 0 = 3*w + 2*w + 5*i - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 10.96887 weeks?\nAnswer: 76.78209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11, -20, 1223?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -w**4\/30 - w**3\/15 + 2*w**2\/5 - 6*w + 8. Factor y(k).\nAnswer: -2*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21026 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 9822902.4 nanoseconds?\nAnswer: 0.000000113691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -62413*u + 187284. Calculate w(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n + 3*n**2 - 3*n**2 + 224*n**3 - 236*n**3 - 5*n**4 + 2 to the form u*n**4 + f*n + j + z*n**3 + q*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 21*p - 377. Determine g(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 p when three letters picked without replacement from {p: 3, y: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 39*c**2 + 40*c - 27. Let g be y(38). Suppose g - 23 = 2*u. Solve -x + 3*x - 4*j = 14, -5*x = 2*j + u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -4*j. Let u(x) = -7*x - 1 + 1 + 8*x. Determine -5*u(w) - y(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 443, 459, 491, 539, 603, 683?\n\"Answer: 8*b**2 - 8*b + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 16788, 16805, 16822, 16839, 16856, 16873?\n\"Answer: 17*n + 16771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 8, 37, 92, 173, 280, 413, 572?\n\"Answer: 13*r**2 - 10*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 132 = -2*y - 5*c, -5*c = -20. What is the common denominator of (-2)\/21*3 + (-69)\/y and (-8 - -4)*(-246)\/(-80)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.25394 nanometers in kilometers?\nAnswer: 0.00000000002125394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*s - 31*s - 84*s in the form p*s + c and give p.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 738.3605ns to seconds.\nAnswer: 0.0000007383605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/(-45)*60*(-6)\/(-4). Calculate the highest common factor of 130 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2453376 divided by -64\nAnswer: -38334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 4 + 4)*(-4*u - 7 + 7)*(3 + 2 - 2).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(((o\/(o**(2\/17)\/o)*o)\/o)\/o*o)\/o)\/(o**(-5\/3)\/o)*(o*o**(2\/5)\/o*o)\/(o\/((o*(o**(-1\/4)\/o)\/o)\/o)) assuming o is positive.\nAnswer: o**(2753\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -100*l**2. Let b(t) = 6*t - 9. Let j(x) = -3 - 260*x - 1 + 263*x. Let a(z) = -4*b(z) + 9*j(z). Determine h(a(u)).\nAnswer: -900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.443235 and 298.\nAnswer: 300.443235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.09 - 4.91. Let u = -5.2 - o. Let b = -0.3 - u. Put b, -2\/5, 0 in decreasing order.\nAnswer: 0, b, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 728*q + 751*q - 1480*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -125?  (a) 2\/3  (b) 4  (c) -5  (d) -10  (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3417591408 to the nearest integer?\nAnswer: 58460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of 0*q + 0 + 0*q**3 + 5*q**2 + 0*q**4 - 1\/20*q**5 + 0*q**6 - 1\/210*q**7. Find the third derivative of y(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/2 and 40\/68993.\nAnswer: 137986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 953.255101 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -176 + 362. Let q = 133.3 - d. What is q rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 99.1 - 99. Let a = 23 - 22.9. Let q = -5.1 + a. Sort q, -2, l in ascending order.\nAnswer: q, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 10*h**3 - 91*h**2 - 1707*h + 77. Let d(x) = -25*x**3 + 226*x**2 + 4267*x - 187. Let p(v) = 7*d(v) + 17*g(v). Suppose p(t) = 0. Calculate t.\nAnswer: -10, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7148.272 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -18 + 17 + (1 - (4 - 0)). Which is bigger: j or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 3:26 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 323\/12 + -505\/24. Calculate the common denominator of 71\/92 and s.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 697, 701, 715, 745, 797, 877?\n\"Answer: z**3 - z**2 + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -72 + 75. Suppose 0 = -3*u + 2*b + 13, -4*u + 8 = -8*b + q*b. Let c = -42 + 46. Solve c*t = u*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 44*g**2 + 67*g - 536. Is 9 a factor of k(43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 381*p - 84 = 358*p + 675 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 63 = -5*o, -6*o + 4*o = -5*p + 87. Calculate the remainder when (-326)\/(-10) - 4\/(-10) is divided by (p\/(-2))\/((-15)\/30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3*p = -65289, -296*h + 65286 = -293*h - 2*p. What is h rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 27*y**2 - 611*y + 1626. Calculate z(20).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -316 - -477. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*t - 21, 15 - 6 = -t - 4*o. Suppose 0 = 5*f - 27 - t. Solve -f*k + 20 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02368*-63.\nAnswer: 1.49184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -b**2*u**3 - 35431*b**2*u**2 + 7*b**2 - 2325 wrt u.\nAnswer: -3*b**2*u**2 - 70862*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**5\/3 + 196*l**4\/3 + 1688*l**3 + 25136*l**2\/3 + 31552*l\/3 = 0. What is l?\nAnswer: -58, -34, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -629106.9419 to the nearest 100.\nAnswer: -629100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 3:31 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40*f**3 - 363 + 363)*((-4 + 2 + 3)*(-5*f**2 + 3*f**2 + 4*f**2) + 4*f**2 + 23*f**2 + 7*f**2 + (-2 + 2 + 1)*(-f**2 + 2*f**2 - 2*f**2)).\nAnswer: 1400*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*y**2 + 5 + y - 6 + 1.\nAnswer: -25*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fvflllvlv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of 0*m**2 + 7\/12*m**4 + 12*m + 0 + 0*m**3. Let t(w) = -2*w**2. Calculate t(b(p)).\nAnswer: -98*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16 + 733?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 n when three letters picked without replacement from gxnrrrrxnrxrxrggr.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 875*s**3 - s**2 - s + 2. Let m be d(1). Suppose -3*q - m + 66 = -5*z, -q + 317 = 2*z. Calculate the remainder when z is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -16*r**2 + 113*r - 4. Give j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from fjfjjj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-21)*(-2)\/4. Let g = 28.07 - 28. Let a = g - 0.27. Sort a, -2\/15, r.\nAnswer: r, a, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 0.7494021 milliseconds?\nAnswer: 0.00000020816725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + 14. Sort u, 5, 6, -3.\nAnswer: -3, u, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -10012322200?\nAnswer: -10012322132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*s**3 - 4*s**3 - 12*s**3 + 2 to p + z*s**2 + l*s + o*s**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -95, -3, -691, 2 in decreasing order.\nAnswer: 2, -3, -95, -691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -5*t**3 - t**2. Let r be z(-1). Let d(y) = y**2 - 2*y - 8. Let b be d(4). Suppose b = -n - 8 + 3. Sort -2, n, r.\nAnswer: n, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7700806 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/4 and (365\/10)\/(1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 1. Let f(i) = -i**2 + 8*i. What is the remainder when f(t) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - 4 - (2 + -22). What is the highest common divisor of 72 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-9) - 125\/(-45). List the prime factors of 240\/v + 6\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 942b (base 16) to base 8\nAnswer: 112053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/3 + 5\/6. Let t = 5.4 + -5. Let y = t - 0.2. What is the closest to c in -0.4, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (10 - (-1 - 0)) + -1. Suppose 0 = 2*o + 3*o - a. Suppose 4 = o*w - 0. Solve -w*v = -6*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1650 divided by 6\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -585*l + 1240. Let j be c(-40). Round j to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 4\/11, 7\/5, -0.9, -4, -2 in decreasing order.\nAnswer: 7\/5, 4\/11, -0.9, -3\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 36823272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 6 = 2. What is the second derivative of 12*p**j - 12*p**2 - p - p**3 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2056 and 4.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281 is divided by 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 - 32 - 31384*i - 31 + 105.\nAnswer: -31384*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 4. Let p be (-1)\/(-2)*3\/q. Which is the third smallest value?  (a) p  (b) 0.2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 10822591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6517*u**2 + 1532*u + 1?\nAnswer: 13034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 1199*g**2 + 4831*g + 171. What is a(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 10*t. What are the prime factors of d(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 8 + -3 + 0 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (3 - (4 + -5) - 6 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*j - 15739 = -2941 for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -323*s + 668*s + 1620 = 264*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1078880 and 67430.\nAnswer: 1078880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -4, -3, 2 in decreasing order.\nAnswer: 18, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 127784*h**2*t**2 + 23*h - 3*t**2 - 8*t wrt h?\nAnswer: 255568*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 0 - -3 - (8 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -346179 divided by 771?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -18796106.\nAnswer: -3\/9398053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1049*y + 5223 - 25 = -4243. Let z = -4.87 - 0.13. What is the second smallest value in z, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -65*m**5 + 0*m + 64*m**5 + 5 - 3*m + (0*m**4 - 5*m**4 + 3*m**4)*(0*m + 3*m - m) + (-4*m**4 + m**4 + m**4)*(m + 0*m + 2*m).\nAnswer: -11*m**5 - 3*m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -12*k - 15. Let d(w) = -41*w - 6. Let o(z) = 116*z + 17. Let x(g) = 17*d(g) + 6*o(g). Determine r(x(c)).\nAnswer: 12*c - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 9*y**3 - 5*y**2 + 3*y - 3. Let t = 289 - 287. Let w be l(t). Calculate the highest common divisor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -16\/37, -4, -1?\nAnswer: -16\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -10*r + 6. Let w be m(-6). Suppose 0 = 7*a + 4*a - w. Let z be 2\/a + (-1)\/3. Sort z, 3, -78 in descending order.\nAnswer: 3, z, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -3*h**3 + h**2 - h - 1. Let u be o(-1). Suppose 242 + 194 = u*w. Suppose -5*d - c = -w, -3*d - 2*d = 5*c - 105. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -99 + -15404?\nAnswer: -1549d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21.9 - -21. Let s = -25721.8 + 25718.8. Which is the biggest value?  (a) n  (b) -0.04  (c) -4\/3  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*4\/(-6)*(-4 + -23). Suppose -31*a + u*a = 12505. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from saasa. Give prob of picking 1 s and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-1\/5)*g)\/g*g*g**(-4\/5)*g*(g**(1\/4))**(-2\/19)*(g**2\/g)**2*(g\/((g\/((g\/(g\/g**1)*g*g)\/g))\/g))**1 assuming g is positive.\nAnswer: g**(265\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -7*l**2\/2 + 635. Let t(h) = 2*h**2 - 14*h. Calculate t(r(p)).\nAnswer: 98*p**2 + 98*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -6 + 220\/28 + -2. Which is the nearest to -1\/3?  (a) 5  (b) q  (c) -2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1770 divided by 590\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 76*r - 674. Let p be s(9). Calculate the greatest common divisor of 90 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1968 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (0 - (-1 + 0)). Calculate the remainder when (-542)\/(-14) + 8\/28 is divided by 4 + -5 + (-9)\/b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12827.\nAnswer: 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -4*l - 12, -2*d + 12*l - 9*l + 7 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15.279 - 15.2. Round l to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + -1)*(-2 + -2). Suppose a + 1 - 13 = 0. Suppose -4*c - 4*p = -a, -2*c + 1 + 8 = 3*p. Solve c = h - 4*v + 24, 45 = -5*h + z*v + v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-1 + -3 - -13)) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1458 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -z**4\/12 + 4*z**3\/3 - 19*z. Let s be q(9). Let i(t) = t**3 + 9*t**2 + t + 21. What are the prime factors of i(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((5*sqrt(96))\/sqrt(12) - sqrt(8)))\/(sqrt(192)\/(sqrt(12) + sqrt(36)\/sqrt(3))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 3*h = 105 + 12, -5*g = -132*h + 129*h + 126 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 12:37 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + 2*g - 47, -m + 5*g - 14 = -2*m. Let z = -0.123 + -1.877. What is the second biggest value in m, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/15  (b) 0.5  (c) -1198.9312  (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -1198*j + 24. Does 26 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 2*l. Let p = 40 - 26. Let i = p + -9. Let n(m) = -i*m - 5*m**2 + 0*m**2 + 14*m. Calculate -2*n(x) + 9*r(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 7*c - 4*f + 32, -5*c + 3*f = 35 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/7, -12, 1\/5, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w - 1. Let j(k) = -8*k - 37. Let o be j(-6). Let p be (-6)\/(o\/((-22)\/(-4))). Calculate n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/15354 and -79\/12?\nAnswer: 30708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5*s. Suppose 24 = 4*l - 4. Let u(o) = -l + 2*o + 1 + 6. Let z(v) = 4*a(v) + 9*u(v). Let q(m) = -7*m. Give q(z(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/440 and 251\/419732040.\nAnswer: 4617052440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**2*w + 144*m**2 - 2*m*w + 10*w wrt m?\nAnswer: 2*w + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 6 + 2)*(7*p**3 - 89 - p**4 + 89).\nAnswer: 3*p**4 - 21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.1075441 centimeters?\nAnswer: 0.000001075441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 630 = 2*d + 5*d. Let f = d + -77. Suppose f*v - 42 = 101. What is the highest common factor of 55 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + u**2 + 0*u**2 + u**2)*(-10*u + 8*u - 21*u) in the form v + h*u**3 + r*u + a*u**2 and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s - 2*s**2 + 8*s - 9*s to b + f*s + w*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16665225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/1029078 and -32\/462213.\nAnswer: 54541134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 71232953791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70026240 divided by 48.\nAnswer: -1458880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*l + 3*l + 16*l + 0*l to the form u + f*l and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, n: 4, l: 6}. Give prob of picking 3 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4*b + 9*b = -63, 0 = -3*v + 5*b + 92. Suppose -v + 10 = -19*p. Solve -3*i - p = -4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (2 + sqrt(325) + sqrt(325)*3 + sqrt(325))**2 + -1*(sqrt(325) - (sqrt(325) - (2 + sqrt(325)))) + 3)*3.\nAnswer: 285*sqrt(13) + 24387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1601494, -1601544, -1601594, -1601644, -1601694?\n\"Answer: -50*q - 1601444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294827*d + 241258 = -298225*d for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 AM and 9:10 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 913 - 1781\/2. Let h = f + -22. Let u = 34 - 35. What is the nearest to 1 in 0.1, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(242) + -1 - ((-2*sqrt(50) - sqrt(2)) + 4))**2.\nAnswer: -220*sqrt(2) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s**3 + 1521*s**2 - 1521*s**2 + s - 15 to the form t*s + b + n*s**2 + w*s**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 4*g**2 - 2*g + 11. Let r be f(5). Calculate the remainder when 30 is divided by 19\/2 + 36\/r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11476 divided by 76.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9826600 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -507.20195 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 226 = -1410. Let d be (h\/6)\/((-224)\/75 + 3). What is d rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by 14?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1978, -3955, -5924, -7885, -9838, -11783?\nAnswer: -13720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -453 - -456. Solve -l*r - 12 = -7*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(18\/4))\/(((-3808)\/(-1260))\/68).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32100 and 30820.\nAnswer: 49466100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/(-30) - 1607\/(-6). Suppose -w = -344 + y. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 - 131*o + 4190. Let n be w(55). Solve n*t = -t + 77 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.18 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -16, 4, 48.9, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20013*i - 25*i**2 - 20*i**2 - 20014*i.\nAnswer: -45*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 7330*k + 1439851. Determine q(202).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*n + 1)*(-4*n**2 + 6*n**2 + 7*n**2)*(n**2 - 57*n**2 + 24*n**2)*(3 - 2 - 2).\nAnswer: 576*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h + 4. Let m(s) = -4*s**3 + s**2 + s. Let y be m(-1). Let l be o(y). Suppose l = 2*f - 2*z - 64, 2*z = 4*f - 58 - 74. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47\/((-2397)\/68)*2*3\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.524 - -10.19. Let c = n + -0.016. Round c to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, u: 7, k: 1, x: 2}. Give prob of sequence xu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Is ((-1867)\/(-5))\/(13\/65) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16730*f**3 + 16723*f**3 - 2*f - 3 + 3 to b*f + u*f**2 + g + m*f**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 698316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -128000 rounded to the nearest 1000?\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -45600 (base 11) to base 13\nAnswer: -24029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -23*r + 11. List the prime factors of y(-8).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 120401?\nAnswer: 120401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4435733926.\nAnswer: 2, 13, 170605151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 - -36. Let j be (3 + r*2\/(-6))*39. Suppose 0 = j*m - 20*m - 78. Calculate the greatest common divisor of 52 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -22*b**3 + b**2 + 32*b - 32. Calculate i(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (8 - ((-3 - -6) + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26823903?\nAnswer: 3, 8941301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 55\/(-10))*12\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15.7909 + -0.2991. Let t = -0.09 - d. Let s be 15*(-20)\/(-84) + 36\/(-9). Which is the third biggest value?  (a) 0  (b) t  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 9*n**2 + 9*n + 13. Let r be h(-5). Round r to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 3 + 0)*(6*c**2 - 3*c**2 - c**2 + (3*c - 3*c - 3*c)*(-c - 3*c + 5*c))*(-2 + 5 + 0) to f + j*c**2 + a*c and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v = -10*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 3*d = -d + 6, 3*d = -3*k. Let t = -3\/2 - k. Solve -3\/2*c**3 + t*c**4 + 3\/2*c**2 + 0 - 1\/2*c = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 0\/2 - 354\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/5 + (-324)\/(-60). Suppose -m*i = 5*i - 11. Solve 15 = -4*u + x, -x + i = -2*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5493 and 112392273?\nAnswer: 112392273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 51*j**5*r**2 - 8338*j**2*r**3 + 35740*j*r**2 + 9*r**3 wrt j?\nAnswer: 1020*j**3*r**2 - 16676*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 206 * -0.00247.\nAnswer: -0.50882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52670 is divided by 2024?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1005 + -995. Calculate the remainder when 413 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -8*c**2 - 56*c + 249. Let d be h(46). Is 7 + -3 - 0 - d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1267 = 4*i + 131. What are the prime factors of i?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7268 + -7244. What is the least common multiple of 84 and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.08 - 79.08. Let v = d - -81. Let f = 8.2 + -8. What is the closest to f in v, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, 2, -4 in increasing order.\nAnswer: -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24652 - -24359.23. Let n = 7.23 - x. Let g = n + -300.00137. What is g rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (4 - (-4 + 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1976 + 3127. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -2  (b) 2\/13  (c) 2\/9  (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 7. Suppose -s + 6 = -5*l, -5*l - 3*s - 18 = -2*l. Let i be u(l). Solve i*b = -10 - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004545952917 rounded to six dps?\nAnswer: -0.004546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k - 12. Let i be h(-14). Suppose -i*x + 2*t = -152, -169 = 5*x + 4*t - 540. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.347471 months in years?\nAnswer: 2.36228925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -136 + 164 + (2 - 10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27 - -aa?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {s: 2, t: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 + 7)*(-5 + 3 + 1)*(-3*i - i + 2*i) to the form t + d*i and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k*k**14)*k)\/(k**(5\/2)*k)*(k\/k**(-2\/13)*k)**(-34) assuming k is positive.\nAnswer: k**(-2307\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y**2. Let h(o) = 125*o. Give h(t(w)).\nAnswer: -500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 211 + -211.006698. Round y to four dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of 7\/20*s**5 + 0*s**4 + 0 + 7\/6*s**3 + 0*s**2 - 5*s. What is the second derivative of n(j) wrt j?\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 1\/2, 65\/6 in descending order.\nAnswer: 65\/6, 1\/2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2015703 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/g**(12\/5)))\/((g*g\/g**(-8)*g*g)\/g) assuming g is positive.\nAnswer: g**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0*f - 4*f = 16, -3*j + 40 = 2*f. Suppose -7*u = -j*u + 35. Let n be -9 + u + 3 + (1 - 2). Solve -6 = -n*l + 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 426.57 - -0.8389\nAnswer: 427.4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) 1\/4  (c) 2  (d) -3929\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25741059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2 - 1397*l + 149700.\nAnswer: -(l - 100)*(l + 1497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*l = -3*l + 15, -5*l + 15 = -5*n. What is the closest to -5 in -2\/9, 0.3, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**4 - y**4 - 2*y**4 + (0*y**3 - 7*y**3 - 10*y**3)*(6*y - y - 2*y) as f*y**4 + j + v*y**3 + d*y + q*y**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - -1 - 21 - -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {f: 2, l: 11, g: 6}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 2*t + 3*t - 20, -5*t - 5*y + 5 = 0. Let k(m) = -m**2 + 9*m + 1. What is the remainder when k(t) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 95\/2) + 145 + (-41613)\/286.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/42 and 15 + 45360\/(-2212) - -1*5.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -210 (base 3) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -279149656 and -2?\nAnswer: 279149654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 18.881 and -2045?\nAnswer: 2063.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133*v + 99*v - 1527498 = 331518. List the prime factors of v.\nAnswer: 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1729749137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63, -161, -257, -351, -443?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 41813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 19 + -3 + -8 - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w + 3*k + k + 1, -5*w = -k + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 1\/3, 0.2, -3, 2.9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -4*u - 44, -2*l + 2*u + u + 43 = 0. What is the greatest common factor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 4:11 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -4*i**3 + 18*i**2 + 13*i - 12. Let l be k(5). Find a, given that -4\/15*a**4 + 8\/3*a + 16\/15 + 4\/5*a**2 - 2\/3*a**l = 0.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 855.7135 nanograms in micrograms?\nAnswer: 0.8557135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 53601 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: What is 345 minutes after 3:33 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 167581 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 6*x**2 - 6*x + 2. Let b be k(4). Suppose 5*t - 5*a - b = 0, -6*t - 5*a = -9*t + 10. Suppose t = -5*y + 6 + 4. Solve y - 1 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**5\/3 + 4*p**4 - 4*p**3\/3 - 4*p**2 + 8*p\/3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5144 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -891 + 928. What is the first derivative of -40*g**3 + 16*g**3 + 8*g**3 + 102 + 18*g**3 + 66 - f*g**2 wrt g?\nAnswer: 6*g**2 - 74*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250 = 62*o - 69*o + 9 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -413 or -412?\nAnswer: -412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/17108927 or -1?\nAnswer: 1\/17108927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 1270 divide 274095008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 17.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of u**5 + 43209*u**4 + u**3 + 2*u**2 + 284*u - 206?\nAnswer: 60*u**2 + 1037016*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 4)*(-2 + 0 + 4)*(-19*y**3 + 8*y**3 + 4*y**3)*(-2*y**2 + 0*y + 0*y)*(-2 + 0 + 1).\nAnswer: -56*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**4 - c**2 + c**2 - 4*c**3 + c**4 + 4*c**3 + (0*c**2 + c**4 + 0*c**2)*(5 - 2 - 1) - 564*c**2 + 564*c**2 - 27*c**4.\nAnswer: -22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u. Let y(m) = 10*m + 2. Let b(a) = -2*o(a) - y(a). Determine b(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**4)**(2\/33) assuming u is positive.\nAnswer: u**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -74 and -0.06390363?\nAnswer: 4.72886862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 14 = 3*v - 5, -z = -2*v + 6. Let j be -2 + 1*4\/z. Let i = j - -6. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 0 + 1 + 7*w - 4 + 4. Let b(j) = -j - 2. Let v be b(-2). Suppose 0*x + x - 3*a = 14, -3*x + 4*a + 17 = v. Give m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 4*j - 1 = 0, 73 = -4*s + j + 68. Which is the smallest value?  (a) -1691  (b) -0.2  (c) -4  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/10)\/(-3)*25\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + ((-12)\/42 - (-2)\/(-7)). Let o be (-2)\/(-7) + 1\/(-7). Sort o, 5, c in increasing order.\nAnswer: c, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -281 - -331. Suppose -23*v = -f + 4. Factor -2\/7*y**v - 2\/7 - 4\/7*y.\nAnswer: -2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1133323 (base 4) to base 5\nAnswer: -144024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = u + 3*s + 12, -3*s = -3*u + 12. Suppose -3*a + 3*j + 15 = u, -3*j = -1 + 7. Suppose g = -0*g + a. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 159 - 447. Determine o so that 2*o**4 + o**4 + 30*o**5 + a*o**2 - 2*o**3 - 16*o - 82*o**3 - 5*o**4 = 0.\nAnswer: -2, 0, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -27. Suppose t = -4*t + x. Put t, 2, -1 in descending order.\nAnswer: t, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1054090 or 1053992?\nAnswer: 1054090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 4*q + 4 = 0, -2*j + 4*q = -59 + 13. Let g be 1\/(-4) + 3\/44. Which is the smallest value?  (a) g  (b) -0.2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3208 divide 38528080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**2 - 13 + 12*g + 0 - 3 + 23. Calculate j(10).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 153 and 75633?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*h**3\/11 + 111960*h**2\/11 - 55983*h\/11 + 6998\/11 = 0 for h.\nAnswer: -6998, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 4*r**2 - 3*r. Let o be y(2). Suppose -o*g = -4*g + 6. Let d be g\/9 - (-11)\/3. Let a(k) = k**2 - 2*k - 5. What is a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -2\/9, -5, 2 in decreasing order.\nAnswer: 2, 2\/5, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*j + 4 = -25*j + 5*n, 3 = -j + 3*n. Let y be 32\/(-24)*j\/(-4). Let h(t) = 4*t + 1. Let v be h(-1). Sort y, 3, v in descending order.\nAnswer: 3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19056 = 3*v + 10933 - 46177. List the prime factors of v.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) 4\/3  (c) 1\/7  (d) -3\/4  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 341938\/(-5814) - -57 - 128\/(-72)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 2*r = -16. What is the third derivative of 2*c**4 + c**4 - 5*c**2 + c**r - 3*c**2 wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a + 8*a + 5*a + (1 + a - 1)*(0 + 2 - 3) + (67 + 69 - 109)*(-3*a + 4 - 4)*(-4 + 0 + 3).\nAnswer: 91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3187*v**3 + 6 - 3196*v**3 + 5*v**2 - 4 to d*v + c*v**3 + g*v**2 + b and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x + 5. Let i be z(-1). Let u(c) = 3*c + 5. Determine u(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of w**3\/3 - 9*w**2 + 4*w. Let p be h(8). Let o(t) = 3*t - 2. Determine o(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16207*m - 314*m**2 - 16207*m.\nAnswer: -314*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 66473107 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*q**2 + 2*q**2 - 4*q**2)*(4*q**2 + 2*q**2 - 4*q**2).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 135440193 and 5118?\nAnswer: 2559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = s - 0*s. Suppose 5*p - s = -4*n, -3*p = -3*n - 2 - 4. Suppose 4*h - h - y = 39, -5*y = p*h - 39. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddvd. What is prob of sequence ddv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4860 and 8910?\nAnswer: 53460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 122 + -122. Let n(h) be the second derivative of h + x*h**2 - 1\/6*h**3 + 0 - 3\/20*h**5 + 0*h**4. What is the second derivative of n(w) wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - 6. Let i be m(-3). Suppose -n + i = 3*z, -4*z = 5*n - 3*z - 29. Suppose -w = n - 50. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2020 + -2020. Solve 4*h - 3*f - 32 = q, -h - 11 = -4*h - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 0.3, 2\/59, 1\/6, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 28. Suppose -5*d + 114 = -2*m, -35*d = -33*d - 3*m - 39. Let w = q + d. Solve 0 = -3*j + w*a + 4 - 1, 1 = 5*j - 2*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -116, 1, 12, 98, 2.\nAnswer: -116, 1, 2, 12, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - r - 1. Let v be a(2). Let 9*j**3 - v*j**3 + 3*j**4 + 2*j + j**4 - 5*j**4 - 5*j**2 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-8)\/(-10))\/((-48)\/(-180)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*w + 21*w - 968. Suppose 0 = -9*b + w + 176. What is the least common multiple of b and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 60 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 5*l**3 + 16*l**2 + 8*l. Let b(h) = 4*h**3 + 15*h**2 + 7*h. Determine 4*b(g) - 3*s(g).\nAnswer: g**3 + 12*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-30))\/(3\/9). Let q(v) = -2*v**2. Let x be q(1). Let d be (-11 + 432\/32)*-2. Which is the nearest to r?  (a) d  (b) -1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2902, 5868, 9016, 12436, 16218, 20452, 25228, 30636?\nAnswer: 36766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -0.04, -3\/17, -4, 2\/343 in ascending order.\nAnswer: -4, -3\/17, -0.04, 2\/343, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**3 - 16*b**2 + 2*b + 16 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -3.05. Let n = 2 + 0.05. Let b = n + z. Sort b, -1\/4, 0.3 in increasing order.\nAnswer: -1\/4, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-390)\/(-35) + 1278\/1491?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 62*v**2 + 176*v - 9. Calculate the remainder when 948 is divided by r(-59).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2445829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -7*r**2 - 2. Let p(o) = -15*o**2 - 5. Let t(f) = 2*p(f) - 5*z(f). Let l(i) be the third derivative of i**5\/30 + 3*i**2 + 1. Give l(t(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 12:09 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39472 - 16*b**2 + 19686 + 19786.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*f - w, 4*f + w - 5*w = 12. Solve -4*x - 2 = -5*b - 6, f*b - 4 = -4*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1542*v + 4762 + 8756 = -40*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -275, -286, -297?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19029 or -19028?\nAnswer: -19029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 + -63. Is -9 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(2*2\/8). Let u be (0 + 1)\/((-35)\/(-10) - 4). Is j equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16733 and -4?\nAnswer: -66932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - 0 - -12) + -1 + 17 - (5 - 7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -15354, -61764, -139124, -247434?\n\"Answer: -15475*u**2 + 15*u + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1354.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5292 and 2690982.\nAnswer: 5381964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.1762 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 30\/(-7) + (-32)\/(-112). Let r be 8\/14*(-14)\/l. What is the third derivative of -5*o**6 - 2*o**r + 26 - 26 + o**6 wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31*1*-3*(-8)\/(-24)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - -32) + -46 + 27 + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 237a (base 12) in base 7?\nAnswer: 14416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-4) + (22\/28)\/(9546\/27993).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 14 = -4*m, -2*z - 2*m + 37 = -7*m. Let p be 134\/(-4)*z + -3. What is p rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p. Let f be (2\/8)\/(3\/36*-3). Let s(v) = -5*v - 4. Determine f*s(g) - 6*d(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23188)\/39780 + (-9 - (-240)\/25).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -136 - -143. Which is bigger: 14 or v?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 467, 1638, 3509, 6080, 9351?\n\"Answer: 350*v**2 + 121*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 0.0384827 weeks?\nAnswer: 6.4650936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5031 divided by 1677.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -634.9733 + 635. What is v rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -4*x - 8. Calculate d(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b + 1. Let j(u) = 7*u**2 + 4*u + 4. Let p(m) = -j(m) + 4*w(m). Let y(v) = v**2. Give y(p(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 4*g + 28. Let a(k) = 2*k + 14. What is 11*a(d) - 6*b(d)?\nAnswer: -2*d - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 5*n - 37. Let s be r(8). Solve s*b - 16 + 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3687338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-2*(sqrt(100) - (sqrt(100) - sqrt(100)*1)))\/(sqrt(2) + 2*sqrt(50))*-6*-1.\nAnswer: -60*sqrt(2)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 35  (b) -172  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7147304*q**4 - 6385803 wrt q?\nAnswer: 28589216*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6*(3 + 72\/(-30))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/35*-1)\/((-630)\/147).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 101 and -164512238.\nAnswer: -164512137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -8 + (4 - (4 + -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m = 12*m + 45. Suppose 8616 = 9*x + m*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -103\/240 - -9\/16. Put 5, f, -0.4 in increasing order.\nAnswer: -0.4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 3*o**2 + 3*o - 1. Let t be f(3). Let q = -25 + t. What is the third derivative of 2*i**2 - 11*i**2 + q*i**4 - 18*i**4 wrt i?\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 5:46 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 180 - 179. What is the units digit of 433 - (-6 + o)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1054875, 1054868, 1054861, 1054854?\n\"Answer: -7*t + 1054882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 + k - 4. Let r be n(-3). Let c(o) = -1 + 2*o - 3 - r. What is the units digit of c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -379\/30 + 64\/5. Let i = -1626.53 + 1626.59. Which is the third smallest value?  (a) -8  (b) t  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 990663 and 69.\nAnswer: 22785249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**6\/120 + r**5\/12 - 2*r**4\/3 - 8*r**3\/3 + 2445*r**2. Determine b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11362 and 190?\nAnswer: 56810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -210641, -421267, -631893?\nAnswer: -842519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 156 = -168. Suppose s*z = -8*z + 33. Suppose 2*a - 34 = 3*b, b + 38 = 2*a - z*b. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wnn when three letters picked without replacement from wpxxxxnwcwxwppwn?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -181\/11033220 and -79\/71940.\nAnswer: 1202620980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {o: 2, k: 7, w: 4}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at least 1276\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence an when two letters picked without replacement from dndddddnadnaddddd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = u + z + 2*z, 5*u + 20 = -5*z. Suppose 5*n = 3*j - 19, j = 4*j - n + 1. Put j, u, 0 in increasing order.\nAnswer: j, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -345 by -3.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - 35534002500?\nAnswer: -35534002452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-18)\/(-63) - (-500)\/14. Suppose 0 = 3*c + o - 7, -2*c + 7 = -0*c + 3*o. Suppose 2*u = -c*u + m. What is the greatest common factor of u and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3142 divide 1032071592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 4*n**3 - 1714860*n**2 + 183817985100*n - 4594377902500 = 0.\nAnswer: 25, 214345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 48 - 31. Let d be 46259\/277 + -14*(-3)\/(-3). What is the highest common factor of d and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9 - 76.\nAnswer: -75.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11020 + -212100?\nAnswer: -1000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 5*z - 2*n + 22 = 0, 0 = 3*z + 5*n - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s + 6. Let y be b(6). Solve -3*g + 2*l = 15, y*l = 5*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**4 - 6156*d**3 - 183780*d**2 = 0. What is d?\nAnswer: -6126, -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1210*v**2 - 1400*v + 2.\nAnswer: -2420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 163497143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r**4\/4 - 35145*r**3\/4 + 22133655*r**2\/2 - 3900692840*r + 11602714200 = 0. What is r?\nAnswer: 3, 748, 5530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41 - 44) + (-4 - 1 - (-660)\/82)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -4*h + 3. Let m(y) = -8*y + 6. Give 11*j(k) - 6*m(k).\nAnswer: 4*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 15) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -38.46 and -19.1.\nAnswer: 734.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 82 and 20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -152, -179, -234, -323, -452?\n\"Answer: -v**3 - 8*v**2 + 4*v - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.77 and 3148662.\nAnswer: 3148660.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**2\/5 + 195024354*r\/5 - 3169541554426443\/5 = 0. What is r?\nAnswer: 32504059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1648305*-24.\nAnswer: -3.955932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 177552 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) -1\/6  (c) 0.1  (d) -0.2  (e) -1339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30551 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 9. Suppose s*u = 2*u - 104. Let z be 6\/15 + u\/(-10). Which is the third smallest value?  (a) -0.14  (b) 1\/4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 350\/(-280)*12\/20*88\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1421101*q + 2789831 wrt q?\nAnswer: -1421101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-189)\/14*(-80)\/6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 9) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 3 = 4*b. Let a = 17220 - 17219. Solve 3*r = -l - 3*l + a, b*r - l = -19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -10*y - 48. Let m be (-3)\/(-12) - -42*(-3)\/24. Let q be g(m). Solve 3*l = -3*s + 6, 4*l + q*s = l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.05?  (a) -4  (b) -4\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2141496\/98 + 1*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3799377 weeks in minutes?\nAnswer: 3829.772016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1444302389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i + 30 - 3 + 3 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 - (-21 + 3))\/(-2). Suppose -6 - 4 = 2*q. Let t(a) = -8*a**3 + 8*a**2 + 4*a + 6. Let c(l) = 7*l**3 - 7*l**2 - 3*l - 5. Give b*c(k) + q*t(k).\nAnswer: -2*k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 35*t + 95. Let y be i(32). Let c(k) = 1202*k**2 + 14*k + 17. What is the tens digit of c(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -236081, -1, -5, -2.\nAnswer: -236081, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 1\/5  (b) 3  (c) 13\/281  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2258571683 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12128 + 45433. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.8 - -1.8. Let n = -0.15 - 8.85. Let k = n + 12. Which is the second smallest value?  (a) k  (b) 1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 23 - 25 - 4*j**2 + 2*j**2. Let b(z) = 7 + 1 - 3 + 4*z**2. Determine -2*b(p) - 5*r(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1\/5, 15, -3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 42 - (2 + -1 - 1). Suppose 0 = 4*z + m - 138. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 223402 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206597?\nAnswer: 206597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.03 + 1.13. Suppose -2*y + 3*s - 8 = -3*y, 5*y - 30 = -5*s. Put r, -0.2, y in decreasing order.\nAnswer: y, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10232021321 (base 5) to base 9.\nAnswer: -22311862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 6) to base 15\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -585342.649 rounded to the nearest 100?\nAnswer: -585300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 minus -294587480.18?\nAnswer: 294587480.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zggw when four letters picked without replacement from {w: 4, g: 7, z: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 12. Suppose -2 = -2*v + q, 4*l = -4*v + 16. Let m = 132 + -128. What is the third biggest value in m, l, -0.04?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 3*j**3 - 9*j**2 + 13*j - 9. Let h(c) = c**3 - 5*c**2 + 7*c - 4. Let q(b) = 5*h(b) - 2*p(b). Give q(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 2*b**2 - 3*b + 1. Calculate z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 256*a**3 + 261*a**3 - 503*a**3 + ((-3*a + 4*a - 2*a)*(0 - 5 + 3) + 5*a + 0*a - 6*a)*(-2*a**2 + 2 - 2).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of -377*i**5\/30 + i**4\/3 + 2*i**3\/3 - 942*i**2. What is the second derivative of g(o) wrt o?\nAnswer: -1508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**5 + 12*w**4 - 12*w**3 - 6*w**2 + 15*w - 6 = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 864 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - (23 + -15)) + -12 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.11 - -3.29. Let i = g - 3. Let q = i + 0.1. What is the third smallest value in 0.2, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 708051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2\/17)*y*y**6*(y*y**(1\/2))**42 assuming y is positive.\nAnswer: y**(1188\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zhz when three letters picked without replacement from {z: 2, h: 4, o: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050082737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 234 - 257 - (-2 - (-2 + 3))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is the second derivative of 5*i*m**3 + 20422937*i*m**2 + 13133399*i*m + 2*i wrt m?\nAnswer: 30*i*m + 40845874*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (113\/(11526\/(-765)))\/12?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147)*4 + 4.\nAnswer: 4 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4 = -2. Suppose -f = -4*f - r*q + 341, -4*q = 3*f - 343. Suppose -3*m = -466 - f. What are the prime factors of m?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - 4*o + 5. Let b be k(-5). Let s(f) be the second derivative of f**4\/12 + f**3\/6 + 2*f**2 + 9*f. Calculate s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8620063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20943 - -29444. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + u**2 + 8*u + 11. Let o be 24\/(-84) - (-37)\/7. Is r(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 265, 169, 73, -23, -119, -215?\n\"Answer: -96*v + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 685192 at most as big as 685183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -265 + 554?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 42, -202, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 174*l - 309*l + 159*l - 15 - 36 wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1 + 5 + 0 + 8*f wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4675 + -4675. Solve -d + 11*d + 40 = g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 5*k + 40 = 0, 15*y = 14*y - 5*k + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(-9 - (-8)\/2). Suppose -4*j - 5 = -x, u*x + 71 = -4*j - 0*j. Let r(t) = t + 12. What is r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 2. Suppose -4*l + 146 = 2*s, 5*l - s = p*s + 177. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18248, -68461, -152152, -269321, -419968, -604093, -821696?\nAnswer: -1072777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00055887 rounded to 6 decimal places?\nAnswer: 0.000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1115161 (base 7) to base 9.\nAnswer: -231181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3618*m**2 + 5888*m**2 + 3485*m**2 + 5751*m**2 to t*m + n*m**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4*o - 12 = 0, 2*o + 0*o + 18 = 4*y. Solve -6 = 2*i + y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3238 and -258.\nAnswer: 835404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 6*a**2 - 2*a - 21. What is the remainder when 149 is divided by h(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i + 11. Let t be w(0). Differentiate t*n - 39*n + 19 + 13 - 4 with respect to n.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 117.8 + -117.83. Let s = 1.9 + 8.1. Let z = s - 15. Which is the second biggest value?  (a) y  (b) -1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11278800 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -15, -1, 9.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -5*t**3\/3 + 2*t**2 - 4*t - 41. Let v(n) = -n**2 + n - 1. Calculate -5*p(j) + 20*v(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 589579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 6 + (-4 - (4 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4 + -3)*((-6)\/4 - -2) and 27\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -950\/7 + 136. Let o(j) = j**2 - 5*j - 3. Let a be o(5). Let q(s) = s**2 + 4*s - 1. Let i be q(a). Sort i, -1\/3, v.\nAnswer: i, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -80327333\/574 - -139943. Find the common denominator of 87\/82 and j.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**4 + 3*u**4 - 2*u**4 - 2*u**4 + u - u + (-3*u**4 + 0*u**4 + u**4)*(0 - 2 + 4) + 15 - 15 - 4*u**4 - 7*u**4 - u**4 - 3*u**4)*(-3*u + u + 4*u).\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -172 divided by 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -k**5\/570 - k**4\/228 + 7*k**2. Let s(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - 20*w. Let i be b(20). Let v(o) = -o**2 + 4*o + 1308. Let l be v(i). Calculate the highest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 46737221 - 46737861.00662. Let j = 640 + c. Round j to four decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13240006*l + 15224933.\nAnswer: 13240006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(144))\/(sqrt(1152)*1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 27*r + 51 + 40*r + 55 with respect to r.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (1 + -1)) + (-5 - -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2331, -4777, -7223, -9669?\nAnswer: -12115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 361732*q + 2596. Let i be h(-3). What is i rounded to the nearest 10000?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -s**6\/120 + s**4\/24 + 11*s**3\/2 + s**2\/2 - 1. Let z(o) be the second derivative of f(o). Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1662?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 5. Suppose -2*b + 4 + s = 0. Suppose 30 = 3*g + 4*f + 6, -b*g + 33 = -3*f. Solve -p = -4*p + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 + 2*b - 3. Let d be n(2). Suppose 0 = d*z - 7 + 2. Solve -25 = 5*t, z = 2*h + t - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-42)\/(-30) + (-4)\/10. Let g be 8 + (f - 1) - 3. Suppose 2*z - 280 = 7*s - 2*s, g*z - 3*s - 719 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6*l + 10. Let g(t) = t - 2. Calculate 5*g(z) + m(z).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2054 = -10*y. Let l = y + 160. Sort 4, -8, l, 1.\nAnswer: -8, 1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4422 - 4422. What is the second smallest value in -7\/24, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4484, -4, 3 in decreasing order.\nAnswer: 5, 3, -4, -4484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 163\/67, 1\/45, -6\/13?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c + 60 = -8*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 52595.98 centuries in millennia?\nAnswer: 5259.598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -10*m - 29. Let f be p(-17). Let l = 19 + f. Calculate the least common multiple of l and 55.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 294535 divided by 6.\nAnswer: 294535\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fytlpjtfyttj. What is prob of picking 1 t, 1 f, 1 p, and 1 l?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 431 - 144. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12902*d - 618 = 12982*d + 822 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 104279 = 104860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/10)\/((-69)\/690).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -13*c + 3. Let v be (-60 + 57 + 1\/2)*2. Let k(s) = -13*s + 4. Give v*k(y) + 6*f(y).\nAnswer: -13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 42 - -106. Suppose 4 - x = 18*r. Let j(o) = -o**2 - 7*o + 1. What is j(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1071 is divided by 302.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -6*p. Let j(n) = 6*n + 8. Suppose -13 = -i - 5*r, 0*i + i = 2*r + 6. Let b(a) = -2*a - 3. Let k(h) = i*b(h) + 3*j(h). Determine t(k(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10710589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001010001111101 - -11000?\nAnswer: 1001010010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 18 = -x + 6*x, -g + 15 = -4*x. Let s be 18\/6*(-1 - 0). Let b = g - s. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3658 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l*l*l**(-1)*l)\/l)**(2\/17))**26*(l**(-1)\/l*l)**(-1\/23)*(l**(-6)*l*l)\/((l\/l**(-2\/15))\/l*l*l) assuming l is positive.\nAnswer: l**(163\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 30*k**2 - 107*k + 85. What is the remainder when 1184 is divided by u(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.985 minus 28.024?\nAnswer: -17.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -5, -3, 0.2 in increasing order.\nAnswer: -5, -4, -3, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 107.300001026 + -107.3. What is c rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 620, 327, 32, -265, -564, -865, -1168?\n\"Answer: -i**2 - 290*i + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 11*p**2 + 10*p - 8. Calculate u(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 912472 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(3*(-3)\/(-54)). Let f = u - -10. Suppose -p - 15 = 3*j - 4*j, f*j + 3*p = 81. What is the least common multiple of 22 and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2))**(-2\/55)*z**(2\/27)*(z*z\/(z\/z**(3\/17)))\/z*z*z assuming z is positive.\nAnswer: z**(58651\/25245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/6*4\/(-3). Let w = -6 + 11. Let m = 0.55 + -0.05. Which is the second smallest value?  (a) m  (b) w  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20978?\nAnswer: 2, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 1, p: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.134 and -547.\nAnswer: 620.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxxfx. What is prob of sequence xf?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170428 is divided by 74?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*x + 2*x + 0*x)*(-x - x + 0*x) - 3*x**2 + 0*x**2 + 2*x**2)*(-3*x + 3*x + 2*x**2) + (-4*x**4 + 7*x**4 + 0*x**4)*(-5 + 8 + 3).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.92 + -17.92. Let l = 2.04 - 1.94. What is the closest to l in 3\/4, 0.4, k, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - 19*h**3\/6 + 47*h**2\/2 + 2*h - 27. Let b be k(-21). Solve -3*o + 2*o - 21 = b*m, 3*o - 7 = -m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-315)*-5)\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -10\/49, -0.01, 1\/3, 6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86470536 divided by -43235268.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 18146 = c. Let k = c - 6338. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 314321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 6 + 6 + 2*q**2)*(-2 - 3 + 6).\nAnswer: 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2376*x - 2372*x - 33292. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of -6*((-922)\/(-5))\/(4\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -11*u + 23870. Let w(g) = g. Determine k(w(m)).\nAnswer: -11*m + 23870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45 + 41. What is the remainder when 10*(16 + (-1 - u - 3)) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -41535212 - 4?\nAnswer: -41535216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 7\/1486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by 131.\nAnswer: -14\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57720?\nAnswer: 2, 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 90*f**3*z**3 + 3*f**2*z**3 - z**3 - 7 wrt f?\nAnswer: 540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 150 (base 10) in base 13?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 85\/366 - 4\/61. Let k be (-3)\/5 + (-66)\/15. Let u = -2 + k. Sort 0.1, x, u in decreasing order.\nAnswer: x, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 2*x + 130, 0 = 5*f + 3*x - 0*x - 155. Suppose 0 = 2*c + 5*r - f - 0, -5*c = -5*r - 105. What is the lowest common multiple of c and 9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 7:41 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.1, 0.7.\nAnswer: 0, 0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 25953407 to the power of 1\/2, to the nearest integer?\nAnswer: 5094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*k - 896 = 10*k. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yfyyyyyyyffyyyyy?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 300 from -0.0965.\nAnswer: -300.0965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-215)\/45) + 5*(-10)\/25.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 193697255 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-13.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 139477885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*s**2 - s**2 + 2*s**3 - 13*s + 31*s - 9 - 17*s as y*s + x*s**3 + j*s**2 + h and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/142272 and 143\/8208.\nAnswer: 426816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = -3*q + 235. Suppose 5*f = q + 1613. Let v = 1694\/5 - f. What is the common denominator of -7\/11 and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -38881*h**3*i**2 - 2744*h**3*i + h**2*i**2 + 1761*h**2*i + 2*h*i**2 - h - 3657 wrt h?\nAnswer: -233286*i**2 - 16464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 727, 1349, 1961, 2557, 3131, 3677, 4189, 4661?\nAnswer: 5087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/(g*g**(-5\/4)))\/(g*g**(-1\/5)*g))\/(g**14*g\/(g*g**(3\/7))*g))**(-27\/5))**(-14\/11) assuming g is positive.\nAnswer: g**(-57159\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22433626?\nAnswer: 2, 11216813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -1*(-1 + sqrt(1573)) + sqrt(1573) + 4 - (-5*-4*(-1 + sqrt(1573) + sqrt(1573)) + -5))**2 + 1.\nAnswer: -28160*sqrt(13) + 2517825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.101 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*v + 9 = 0, -5*l + 3*l + 2 = v. Which is greater: 3\/10 or l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v**3 - 2*v + 13. Let f be x(-4). Differentiate -158 + 143 + f - 16*m wrt m.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (9\/(-3))\/3. Let l be (-14)\/(-4) - (-1)\/j. Suppose 4*h + 5*z - 10 = 28, 0 = -l*h + 4*z + 13. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/26803 + 964865\/1152529. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21159 + 888775\/42. Suppose 0*b = 3*g - b + 43, -3*g = -5*b + 35. What is the common denominator of n and ((-166)\/g)\/((-8)\/10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of 0*x**4 + 0*x - 4*x**2 + 0 - 1\/60*x**5 + 0*x**3. Let y(c) = -9*c**2. Determine f(y(t)).\nAnswer: -81*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*(-4)\/(-30) + (-91)\/(-140). Let o(n) = -n**2 + 11*n - 10. Let k be o(10). Suppose k = 7*u - 4*u. What is the closest to u in 0.2, s, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*y = -38*y - 1692 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 510\/(-272)*(1 - -3)*42\/15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2\/3, 2\/93, -5, 6\/11, 46 in ascending order.\nAnswer: -5, -2\/3, 2\/93, 6\/11, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -129 and 35.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 146184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 3, 274 in descending order.\nAnswer: 274, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, -2\/11, -0.1, -3\/10, -2\/5, -0.1814?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g**4 + 57*g**3 + 6*g**2 - 12.\nAnswer: -24*g + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 2*w - 2*w)*(-1 + w**3 + 1) + (-3*w + 2 - 2)*(5 - 1 - 3)*(-5*w**3 - 3*w**3 + 3*w**3).\nAnswer: 14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7578 = 3*x + 3*d, d = -3*x - 3254 + 10830. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68 - 72. Is 5 a factor of 1\/(-4) - (-5 - (-185)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 12:08 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0\/1 + (13 - 15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3352.5257 - -3352. What is p rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oyyy when four letters picked without replacement from {y: 7, o: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3.0069 times -0.46\nAnswer: 1.383174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -3 + 2\/15*r**4 + 1\/50*r**5 + 1\/3*r**3 + 2*r + 2\/5*r**2. Let h(q) be the first derivative of p(q). Factor h(n).\nAnswer: 2*(n + 1)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -2. Suppose 5*z - z = 0. Suppose z*w - k*w = -10. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.046 + 0.346. Put 2\/7, m, -1\/4 in decreasing order.\nAnswer: m, 2\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 796, 3545, 8126, 14539, 22784?\nAnswer: 32861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m\/m**(2\/5)))*m*m)**(-1\/9)\/(m\/(m\/m**(-3\/4)))**(-30) assuming m is positive.\nAnswer: m**(-2051\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*m + 50*m = -275. Let z = m + -193. Calculate the remainder when z is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 69 and 16261?\nAnswer: 48783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 160687 + 132218 = 191065. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -661947439 to the nearest 100000.\nAnswer: -661900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12*k*q*x**2 + 106*k*x**3 + k*x - 124*k - 591491*q*x**2 + 46*x**3 wrt k.\nAnswer: 12*q*x**2 + 106*x**3 + x - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0 and 365450?\nAnswer: 365450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -3*q + l, 5*l - 5 = -140*q + 138*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29155989 and 1537?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*p + 2*p. Let l be (-22)\/p + (65\/(-15) - -5). Which is bigger: -3\/2 or l?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(0 + (-1)\/(-5)). Suppose 31 = -q*h + 106. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*s + 1700843324 - 1700843324.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4 - 1 - 2)*(2*c + 3*c - 3*c) + c + 0*c + c + 4)*(-5 + 4 + 8) to d*c + u and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10429 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-18)\/2*2\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -4*o**3 - 96*o**2 + 4932*o + 15552 = 0?\nAnswer: -48, -3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.006788 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, w: 1}. What is prob of sequence mm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y = 4*y + 25. Suppose 4*f + 10 - 1 = -y*a, 13 = -3*f - 5*a. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 57\/(-1 + (9\/(-3) - -5)). Let s = l + -227\/4. Let o = -5.8 - -5. Which is the second smallest value?  (a) -2\/3  (b) o  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 5 + -5 + -5 - (-3 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.04 - -0.06. Let c = -0.18 - i. Let b(j) = j. Let x be b(-1). Put 2\/3, x, c in descending order.\nAnswer: 2\/3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006277155 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003559 to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9859 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*m + 1. Suppose -m*i = a - 15925, 4*i = -i + 4*a + 26553. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - 20)*1\/4*-2. Solve -v*l = -20*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 254 = -6*o, 0 = 3*k + o - 2*o + 341. Let q be 71*-3*(2 + -1). Let t = k - q. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204 = -97*q - 1756 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + v**2 - 2*v**2)*((2*v + 4 - 4)*(-1 - 3 + 3) + 21*v - 3*v - 6*v).\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -305265636 divided by -26\nAnswer: 11740986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 5*s - 145, 3*r - 7*s - 103 = -2*s. What is the second derivative of 284*k - 7 + 40*k**5 + r*k**5 - 282*k wrt k?\nAnswer: 1420*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4061 + 4073. Let t be ((-5)\/(-5))\/(1 + 0). Which is the closest to 0.2?  (a) k  (b) -1\/6  (c) t  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 21961781.\nAnswer: 87847124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7812 - 7812 + 4036*l to s + c*l and give c.\nAnswer: 4036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -2*w - 3*m, 2*w + 0*w = 2*m + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 18*j**2. Let c(x) = 4062*x**2. Determine c(b(p)).\nAnswer: 1316088*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 253 - j - 253.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (2834\/8)\/((-15)\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -8, 0 = 165*o - 167*o - 2*f + 15024. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 75 - 56 - -13 - (23 + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/3153885 and -71\/175.\nAnswer: 15769425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -122.088 + 0.088. Let n = -24 + o. Let p = n - -146.00091. Round p to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from nqqnq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-2)*((-68)\/24)\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0754 - -3.2754. Which is the biggest value?  (a) -5  (b) k  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from babbaanbbbnbn. Give prob of sequence nbnn.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 8 - (0 - 2 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) 0  (b) 3  (c) 1  (d) -3\/20  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7071, -4, 2.\nAnswer: -4, 2, 7071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13.1 - 8.54. Let g = 0.74 + c. Are g and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 181799639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1968826\/2815 + 3\/563. Let z = 703 + h. Calculate the common denominator of 12\/11 and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = -2*x - 4, x + 2 = -5*l + 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = o - 4*r - 80, -135 = -5*o - 3*r. Suppose -3*m - 3*m = o. Let n(b) = b**3 + 3*b**2 - 7*b - 3. What is n(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1532655 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: Calculate the greatest common factor of 2523 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -68*o + 24*o - 9 + 5*o**2 + 53*o. Suppose -j - j = -2*d + 30, -3*j - 65 = -5*d. Is c(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 7*f + 10. Let y be k(-8). Suppose 5*u = i - 22, 3*u + 19 = 4*i - 35. Let j(n) = -12*n + 2*n**y + i*n. Let c(h) = -3*h. Give j(c(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1804.43 and -12580.\nAnswer: -14384.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-5))\/(24\/80). Let d(p) = 53*p**2 - 54*p**2 - 52*p**f - 9*p**2. Let b(l) = l. Calculate b(d(c)).\nAnswer: -62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -2353*t**3\/3 + 9*t**2\/2 - 96*t + 11279. Find the second derivative of m(o) wrt o.\nAnswer: -4706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 260\/8 - (-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2478934963 take away -0.068?\nAnswer: -2478934962.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by -44.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 414390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**2\/11 - 16516*y\/11 + 9302400\/11 = 0. What is y?\nAnswer: 608, 7650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 57210 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -108*v + 41*v + 1255 - 4471 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -308945, -308942, -308939, -308936?\n\"Answer: 3*x - 308948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -8*g**2 + 163*g + 113. What is the least common multiple of 26 and d(21)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y - 5. Let v(q) = 3*q - 11. Let p(h) = 5*s(h) - 2*v(h). Let o be p(-8). What is the highest common factor of o and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 + 1)*(17 + 20*x - 24*x + 7*x) as i*x + a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, j: 1, a: 1}. What is prob of sequence apj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = f. What is the nearest to -1 in -1\/8, f, -0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-3))\/((-44)\/(-66)). Let n = 0.3 - 0.2. Let g = 0.1 - n. Which is the nearest to g?  (a) m  (b) -0.5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -119\/4 + 29. Let c = 219.1 - 207. Let y = c - 12. What is the nearest to y in v, -5, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -h**4\/4 + 8. Let w(n) = n**3 + n**2. Calculate -b(d) - 2*w(d).\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(500) - ((sqrt(500) - (2*sqrt(500) + sqrt(500)))**2 + sqrt(500))) + -1)*-2 - 5*(5 + (3*sqrt(500) - sqrt(500))))*1.\nAnswer: -300*sqrt(5) + 11931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, z: 2, a: 2, i: 1, e: 1, n: 1}. What is prob of sequence bean?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.76425 kilograms in nanograms?\nAnswer: 2764250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124 - 130. Put -8, -3, t in increasing order.\nAnswer: -8, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 689733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2 - 2844*c - 36296.\nAnswer: -4*(c + 13)*(c + 698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 5. Let v(w) = -w**3 - 22*w**2 + 20*w - 67. Let i be v(-23). Let t(x) = 3*x + o*x**i + x**2 - 4*x**2. Let y(k) = k. Determine 4*t(s) - 12*y(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/16 and 77\/1476.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by -973993.\nAnswer: 22\/973993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -138.6 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 PM and 6:38 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -101000110011 (base 2) to base 4\nAnswer: -220303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2810703 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -17440 to the nearest one hundred.\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2190736739?\nAnswer: 17, 4637, 27791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -28\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/3*81\/(-324)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2588712*r**3 - 21317797.\nAnswer: 7766136*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*u + 35. Suppose p - 6121 = -x, -3*x - 30573 = -u*p - 0*x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1750 and 8?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2239 - 31307\/14. Let d(j) = 5*j**2 - 162*j + 835. Let n be d(26). Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -8*r + 27. Let x be ((0\/(-2))\/3)\/2. Suppose -u + 2*q - 5 = x, -q + 7 = -3*u + 3*q. Solve u = -4*a + r*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-8) - 22\/(-56). Let q = -0.25 + -0.05. Sort 0.4, i, q in decreasing order.\nAnswer: 0.4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-17)*(1*(-65)\/60 + 9\/12).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 6*k + 31. List the prime factors of x(11).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -482, -3139, -10376, -24491, -47782, -82547, -131084, -195691?\n\"Answer: -383*l**3 + 8*l**2 - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-99)*(177 - 192).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 58678485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 214*w + 282. Does 33 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 58 + 37. Suppose 18 = q - 20. What is the highest common divisor of q and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1359*d + 9011*d = -746640 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10864 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -6*d + 377. Let o(u) = 31*u - 1884. Let i(g) = 2*o(g) + 11*x(g). Is i(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -6  (b) 1  (c) -0.175549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 143125 and 423125?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2349\/21 - (-1)\/(14\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150\/10 - 8 - -6096 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 3*c + 2*j, -5*c - 2*j = -6 + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + b + 13 = -0*p, 5*p - 23 = -b. Suppose -p*m = -8*m. Solve 2*i - 16 = -2*i, m = -j - 4*i + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 953*v = 292*v - 661*v - 3966 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3358614083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**3*x**3 - 67829*d**3*x + 2*d**3 + 5*d*x + d - x**3 + 4040*x**2 wrt d?\nAnswer: 12*d*x**3 - 406974*d*x + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 1376*q**2 - 61*q + 35. List the prime factors of m(2).\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0\/(-1 + -7))\/2. Let a(s) = -s**2 + 15*s - 91. Let p be a(b). Which is smaller: -94 or p?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y**4 + 2*y**4 + 2*y**4 + (3 - 3 + 2*y)*(5*y**3 - 2*y**3 + y**3).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 7*d + 20 = 5*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*q**5 - 203*q**4 + 9116*q**3 + 12828125*q**2 wrt q?\nAnswer: 300*q**2 - 4872*q + 54696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -3*m + 18, -3*a = 2077 - 2068 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(-3)))**(-5\/22) assuming k is positive.\nAnswer: k**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -10\/300773783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -239*y + 16. Let w(l) = 239*l - 14. Calculate 6*p(c) + 7*w(c).\nAnswer: 239*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2547 and 330?\nAnswer: 280170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 15 = 134. Let b = -2112 - -2115. Solve 5 = b*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/4  (b) -2\/7  (c) 32  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 - -8880.256.\nAnswer: 8887.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - d - 1)*((5*d + d - 5*d)*(-6 - 1 + 17) + d - 3*d + 0*d) to the form z*d**2 + m + f*d and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u\/(u*u**(-9\/2)\/u))\/u)**(9\/4) assuming u is positive.\nAnswer: u**(99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 209191229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + c - 20, 3*m + 2*c = 1676. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -403 = 20*q - 8123. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -44472 from -3020623956.\nAnswer: -3020579484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/13)\/((-1660)\/(-10790))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 q when four letters picked without replacement from qqsqssssssssss?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.48367 weeks to milliseconds.\nAnswer: 20855723616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 g when four letters picked without replacement from {c: 10, g: 2, n: 1, m: 1, a: 2, o: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 775*b**5 - 3538*b**2 + 4629*b - 778*b**5 + 3440*b wrt b.\nAnswer: -60*b**3 - 7076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4238 + -4238.1. Put g, 0.1, 274 in descending order.\nAnswer: 274, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0054504357 to 5 decimal places.\nAnswer: -0.00545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552675 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1736336 and 40?\nAnswer: 8681680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 7) + (-32 - -40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*a - 11 = -2*l, -4*a - 8 = 0. Suppose -3*i = -l*i - 2*k + 8, 5*i + 3*k - 12 = 0. Solve i*x = -5*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 + 4*p**2 + 3. Let n be t(4). Let m = 2 + n. Put 2, -4, m in decreasing order.\nAnswer: m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 11*p + 3. Let u be m(-10). Let j(a) = -a - 8. What is j(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 806 by 1.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/2*(-220)\/1210.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -0*p - 2*p - 4*u, -4*u + 16 = 0. Let h be p\/6 - (-1880)\/24. Suppose -5*k + 86 = -h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 9*w - 64. Let z(s) = -10*s + 65. Let o(p) = 4*c(p) + 3*z(p). What is the tens digit of o(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*c*f*m - 304*c*f - 2*c*m - 38*m wrt m.\nAnswer: -2*c*f - 2*c - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 + 5. Let x(s) = -s**2 + 7. Let w(b) = 5*x(b) - 7*y(b). Let u(r) = 12*r**2. Calculate u(w(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.037 in 1\/18, -26, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 + 137 = -5*y. Let n = y + 32. Which is smaller: -13\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -124, -1\/6, 3 in descending order.\nAnswer: 3, -1\/6, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10\/11  (b) 5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(704) + -1) - (sqrt(132) - (sqrt(132)*1 - sqrt(132))*5)\/sqrt(12))**2 - (0 + (-1 + sqrt(176))*-4 + -3*sqrt(176)*1)**2.\nAnswer: -166*sqrt(11) + 8116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4067 = 117*w + 276*w - 35114 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 2 = -4*p. Let y = -10157\/2 + 20317\/4. Factor 0 + y*b**p + 3\/4*b.\nAnswer: 3*b*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -5  (c) 0.4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4, -5, -6, -7, -8, -9?\n\"Answer: -q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -5*v. Let k(p) be the third derivative of -5*p**4\/24 + 23*p**2 - 3*p. Determine k(q(l)).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 + 5709*m + 11414.\nAnswer: (m + 2)*(m + 5707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*k - 12 = 16*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -192, -209, -226, -243, -260?\n\"Answer: -17*u - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -150 + 235. What is the remainder when b is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1030\/1236*6\/100.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 (base 5) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177*t = -139*t + 190 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -113  (b) 7  (c) -0.01  (d) 1\/2  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 275088 = 5*r + b, -70 = -3*b - 76. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 495556?\nAnswer: 2, 229, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, g: 17}. Give prob of sequence hgg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 3*t + 6. Let p be r(5). Let a(i) = -i**3 - 4*i**2 + 2*i + 2. Give a(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2 - 2*u + 3. Let a(h) = -h + 1. Let f be ((-2)\/16)\/((-6)\/96). Suppose 3*n + w = -1, 0 = -f*n - 4*w + 7*w - 8. Calculate n*l(m) + 4*a(m).\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**5 + 4*l**5 + 4*l**3 - 2*l**5 + (0*l + 0*l + 2*l**2)*(-3*l**3 + 0*l**3 + l**3) + 0*l**5 + 0*l**5 - 2*l**5.\nAnswer: -l**5 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*h - 14*h + 30*h)*(3*h - h + 0*h) + (-2*h**2 + 0*h**2 + 0*h**2 + (-h + 2*h - 2*h)*(2*h - 4*h + 3*h))*(3 + 0 - 1).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/6)\/((-3)\/45). Solve -3 = -3*c, -2*m - h = -4*c + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/40, 1.02, 0.09, -4\/7, -1\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4 = 5*g - 3*g, -3*g + 2*o + 5 = 0. Let w(v) be the third derivative of v**6\/120 - v**5\/20 + v**4\/24 + v**3\/3 + 3*v**2. Calculate w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -75*h**2 + 156*h + 6. Give u(3).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 9:20 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 75*a - 1165 + 1165 to the form l*a + c and give l.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381664 is divided by 10927.\nAnswer: 10146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21542*z**3 - z + 9*z**4 - 21543*z**3 - 5*z**2 - 52 + 3*z**2 - 5*z**4 to t + i*z**2 + x*z**3 + m*z**4 + u*z and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((210\/(-1800))\/(5152\/256))\/(2\/20)?\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -103.9 - -104. Which is the nearest to l?  (a) 2\/11  (b) -0.2  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-5\/6)*f**(3\/5))**42 assuming f is positive.\nAnswer: f**(511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4*u**2. Let c(j) be the third derivative of 0*j**3 - 5*j**2 + 0*j - 1\/30*j**5 + 0 + 0*j**4. What is q(c(v))?\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3)*w**(-1)*w)**10 assuming w is positive.\nAnswer: w**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*w**4 - 11*w**5 + 7*w**4 + (w**3 + 0*w**2 + 0*w**2)*(-3 + 1 + 1 - w**2).\nAnswer: -12*w**5 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by (-2)\/(-12) + (-404)\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 200469686.6 to the nearest 1000000.\nAnswer: 200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24346.\nAnswer: 2, 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4768 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-335)\/201)\/((-15)\/(-396))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111110111110 (base 2) in base 14?\nAnswer: 167c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 3:43 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 42 - 234616?\nAnswer: -234544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 8*q**3 + 7*q**2 + 7*q. Let p(m) = -m**3 - m**2 - m. Give 28*p(h) + 4*w(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 5*i**2 + 5*i + 2. Let q be c(-5). Let g = q + 42. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 8119000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 7 = 5. Suppose n*r = 17*r + 40. Let q(p) = 12*p**3 + 26*p**2 - 11*p**3 - 11 - 19*p**2 - 10*p. What is q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhkhhkhhkk. What is prob of sequence hhh?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -14 times 1624720\nAnswer: -22746080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.057 - -5.857. Let y = 14 + -8. Let z = i - y. Which is the second smallest value?  (a) 2\/3  (b) z  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 254.2 + -254. Which is the second biggest value?  (a) v  (b) 54  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/1 + 4 - 17. Let u = n - -22. Let w be 0 - (u + (-3 - 1)). Solve -c + w = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 136496 and 3592.\nAnswer: 136496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(143) - 1*sqrt(143))*-4 + -5*(sqrt(143) + 1*sqrt(143))))\/(sqrt(176)*4 + -1*sqrt(44)).\nAnswer: -30*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 4255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9\/83, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -185250 (base 9) in base 4?\nAnswer: -130022331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**3 + 2*c**2 + c. Let j(q) = -q + 3. Let o be j(4). Let m be u(o). What is the second derivative of m*b + 0 - b**3 + 0 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3785121 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 19\/11  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -222, -1205, -3816, -8853, -17114, -29397, -46500?\n\"Answer: -133*m**3 - 16*m**2 - 4*m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggsgggs. Give prob of sequence sg.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2297727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 11:10 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/9 - 3508*v\/9 + 3514\/3.\nAnswer: -2*(v - 3)*(v + 1757)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/21  (b) -0.02  (c) -5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 756221 (base 10) to base 8.\nAnswer: 2704775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*g**3*u**2 + 1574918*g**3 + 3*g**2*u**2 - 6*g**2*u + 270*g*u**2 - 326*u**2 wrt u?\nAnswer: 8*g**3 + 6*g**2 + 540*g - 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of -1\/60*h**6 + 0*h**5 + 0*h**3 + 0*h + 1\/12*h**4 - 3*h**2 + 0. What is t in o(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 9*y**2 + 371*y + 82 = 0.\nAnswer: -41, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {m: 2, t: 11, f: 6}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3703654519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -h**7\/147 - 4*h**6\/105 - 3*h**5\/35 - 2*h**4\/21 - h**3\/21 + 16*h. Determine v, given that t(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 3. Let u(w) = 2*w - 3*w + 0 + 6. Is u(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) -2\/7  (b) -4  (c) 4  (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 785 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: Let s(b) = 10*b - 431159 - b + 431149. What is s(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 0*q - 1 - 6 + 5*q + 11. Determine c(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 4817714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.6 - -4.805. Round o to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2\/7  (b) 1  (c) 2  (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*4)\/(((-1089)\/(-297))\/(11\/(-2)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 135516*q**2 + 13687113*q - 303 = 0?\nAnswer: -101, 1\/45172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -119985*t**2\/2 - 10*t - 16. Let m(w) = -w - 1. Let y(c) = g(c) + 10*m(c). Let a be y(4). Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 38815.5 to the nearest 100.\nAnswer: 38800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26976, -26980, -26984, -26988, -26992?\nAnswer: -26996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06052697 - 7.\nAnswer: -6.93947303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of -39*l**8\/56 - l**4\/12 + l**3\/3 - 122*l. What is the third derivative of o(s) wrt s?\nAnswer: -4680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 30 = 20*z - 25*z, -3*x + 36 = 5*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-10))\/(-8 - -10). Let f = 2 - 2.2. Which is the closest to 0?  (a) t  (b) f  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**5 - 197*h**3 + 293*h**2 + 43899*h?\nAnswer: -20*h**3 - 1182*h + 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -6998, -32097, -73928, -132491?\n\"Answer: -8366*z**2 - z + 1369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 1:31 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a2 (base 16) to base 9.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/2835 - -21743\/11340. Let r = 5845963\/6 - 983559. Let c = r - -9255. Find the common denominator of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2180100 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 9*f = -5*f + 4, 3*m - 2*f = 2. Let y = -561 - -561. Solve -8*z + m*z - 32 = y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -75 and -195.02167.\nAnswer: -270.02167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*d**3 + 0*d**3 - 4*d - 10*d**3 + 4 + 0*d as a*d + g*d**2 + t*d**3 + u and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 + 19*j - 49. Determine i(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/15 and 83\/9720.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*i + 153, 143 = -3*i + 5*i - 5*d. Calculate the highest common divisor of i and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 0.12  (c) -4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2887195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2704958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -73 - -65.32. Let p = 5.8 + w. Let v = 1.21 + p. Round v to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 38641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -6 + 8*s - 10*s + 3. Let y(p) = 1. Calculate n(t) + 6*y(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yypy when four letters picked without replacement from yjyjphppjypp?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 2 + 83 + 2 - 0\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -6*i**2 + 4*i + 4. Let k(b) be the second derivative of -1\/2*b**3 + 5\/12*b**4 + b - 3\/2*b**2 + 0. Give 3*f(t) + 4*k(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -a**4\/24 + 25*a**3\/6 - 4*a**2. Let u be w(10). List the prime factors of 1071\/u - 6\/15.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from yuezessy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11426 - -11425.6. Which is the smallest value?  (a) 132  (b) 5  (c) o  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3421\/395 - -90\/79. Let l = 20141\/78 + -258. Find the common denominator of l and k.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**3 - 3*d**3 + 4*d**3 + (-1 + d**2 + 1)*(-d + 0*d + 0*d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 54*t**2 + 640*t + 4. Give x(64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l**3 + 6*l**2 + l + 27. Is f(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112006610393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -119*u - 5. Let r(z) = -15*z**2 + 2*z - 487. What is x(r(o))?\nAnswer: 1785*o**2 - 238*o + 57948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*n + 1 = 0, 2*n = -g - 7 + 18. Let f(a) = 8*a**2 + 7*a - 5. Let b(q) = 9*q**2 + 8*q - 6. Let z(j) = g*f(j) - 4*b(j). Factor z(w).\nAnswer: (w + 1)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18\/(-351) - 7702520\/(-390)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 931737 is divided by 8032?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 124495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + (-27)\/(-5) + (-39)\/(-65). Suppose 2*q - 51 = -z*n + 49, q + n = 47. What is the greatest common factor of q and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19076 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93882462?\nAnswer: 2, 3, 83, 188519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0887859 + 0.06878625. Let k = g + 0.02. Round k to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1009332322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -25, 3*b + 21 = 82*g - 78*g. Let d(o) = -7*o**2 + 13*o - 12. Let i(w) = 3*w**2 - 6*w + 6. What is g*i(v) + 4*d(v)?\nAnswer: -v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 364 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + z + 2 = -4*m, -9 = -2*m - 3*z. Suppose -m*d + 6500000 = -8*d. Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 336 + -332. Let h(a) be the second derivative of -1\/28*a**s - 4*a - 2\/7*a**2 + 0 + 4\/21*a**3. Find g, given that h(g) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/9 + 814*w**3\/9 - 7840*w**2\/3.\nAnswer: -w**2*(w - 784)*(w - 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 205*x + 1651. Let p be b(-8). Calculate the greatest common factor of p and 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42976, 343881, 1160636, 2751169, 5373408?\nAnswer: 9285281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2279051, -4558102, -6837153, -9116204?\n\"Answer: -2279051*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -3. Let k = 677\/3 + -225. What is the closest to k in -0.3, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/((-8)\/(-14)))\/(((-144)\/(-8))\/36).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - k + 9 = 0, -3*k - 214 = 5*u - 181 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from mwgsgswgmsgsgsm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and -3254205337.\nAnswer: -3254205334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j**3 + 3*j**2 - 4*j - 8. Does 62 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 + r + 1. Let v be h(-2). Let k = 9 + v. What is the third derivative of -k*d**5 + 5*d**2 - 3*d**2 + 5*d**5 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*h + h - 4*f, 4*f = -12. Solve 2*m + h*n + n + 16 = 0, -2*m + 20 = -4*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/5  (b) 7  (c) 1  (d) 0.1  (e) 4  (f) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/6 - 1\/2. Suppose 4*p = -s + 16. Solve -n - 2*r = -3*n + 8, 3*n + 9 = -p*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 60 - -43. Calculate the remainder when h is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*b**2 - 2\/3*b - 4.\nAnswer: 2*(b - 3)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -21\/4, 0.3, 0.11, 4\/3, -5\/6 in descending order.\nAnswer: 4\/3, 0.3, 0.11, -5\/6, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k - 2. Let q(v) = -10*v**2 - 4*v**2 + 20*v**2 - 3 + 7*v - 3*v**2. Let h be q(-3). Let z(b) = 3*b - 4. Determine h*z(r) - 5*l(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {b: 6, s: 5, o: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.23 - -57.23. Let r = -56.99999998 + m. What is r rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 201434, 201428, 201420, 201410, 201398, 201384?\nAnswer: 201368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-100)\/((-40)\/4)*8\/16. What is the fourth biggest value in k, 8, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269384867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-1\/6)*g*g**4\/g)**(-48) assuming g is positive.\nAnswer: g**(-248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 13*w + 14. Let b be i(14). What is the closest to 1 in 0.3, 0.2, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 6, -6, 5 in descending order.\nAnswer: 23, 6, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*t**2 + 6032*t - 1096.\nAnswer: -2*(t - 274)*(11*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1604, 83, -21 in increasing order.\nAnswer: -1604, -21, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-1)*(-5)\/(-4))\/(144\/(-192)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*a + 217 = -2*a, -4*i + 3*a = -868. List the prime factors of i.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-2 + 1 + (2 - 5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 66034, 5, 3, 458 in descending order.\nAnswer: 66034, 458, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1882757438 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1162*m**3 - 17*m - 1 wrt m.\nAnswer: -6972*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*((-6)\/4 - -1). Let f be 2\/4*(b - -13). Let w be 316\/5 - (-10)\/(-50). Calculate the highest common factor of w and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -99*a - 23. Let m be u(-8). Suppose -5*i + m = -336. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 80\/6*3\/2. Suppose 0 = -3*l - 5*m + 1, 5*l + 2*m + r = -2*m. Let f = l + 13. Solve -2*u = 3*u + f, 2*k - 4 = 4*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 37*j - 318. Let n(x) = 112*x - 954. Let p(q) = -7*i(q) + 2*n(q). Differentiate p(k) wrt k.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -12, -1, 1\/5, -6, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -529, -1587, -3845, -7903, -14361?\n\"Answer: -100*x**3 - 358*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -1. Let p(o) be the first derivative of 15*o**2\/2 + 6*o - 15. Let f(j) = 2*m(j) - p(j). Differentiate f(u) wrt u.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 16*d**3 + 11*d**2 + d + 29. Let z(c) = -8*c**3 - 6*c**2 - c - 14. Let w(f) = 6*y(f) + 11*z(f). What is the units digit of w(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 - 36369143?\nAnswer: -36369151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 4*f - 300 = 0. Let n(c) = -2*c + 36. Let i be (-2)\/(-14)*-2 + (-279)\/(-21). Let b be n(i). What is the greatest common divisor of f and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 86 - 85. Let g(m) = m + 1. Let x(j) = -12*j - 10. Let z(h) = b*x(h) + 10*g(h). Let v(n) = 5 - 5 - 50*n + 43*n. Give v(z(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 5*r**2 + 7*r + 14. Let x be p(-6). Let v = -153 + x. What is the nearest to 3\/5 in v, -0.2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -956081, -5, -0.01, -3 in increasing order.\nAnswer: -956081, -5, -3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 221*i - 79347. Calculate m(359).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 26 = q, -q + 6*q + 119 = c - 134 + 99 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7 + 286 + 3 + 4?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 10) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 61699479 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1570 + 1440)\/(4\/6*-3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -31741 or -31740?\nAnswer: -31740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21021341 + -4?\nAnswer: -21021400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 96137, 96151, 96165, 96179, 96193, 96207?\n\"Answer: 14*y + 96123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2932033 is divided by 60?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1637 and 0?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -10*b + 12*b - 2, 13 = -5*b + 4*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.292496ml to litres.\nAnswer: 0.000292496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -203 + 257 - 710 = 82*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115, -462, -1041, -1852, -2895?\nAnswer: -4170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00114446 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 1588*y**2 + 232*y - 700. Is v(3) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -46*k**2 - 1. Calculate n(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**4 + 81*k**3 + 14661*k**2 - 890109*k + 12282192 = 0.\nAnswer: -117, 27, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = -4*u - 0*u, -3*h = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 44 = 4*a, 89 = -18*a + 34*l - 32*l + 23 + 15 + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 8, 0 in decreasing order.\nAnswer: 8, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 13*(-2)\/(-2) - (-2025)\/(-225). Sort -0.3, -1, 2, i, -39.\nAnswer: -39, -1, -0.3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*w**5\/5 + 466*w**4 - 5546*w**3 + 13358*w**2 + 19428*w - 332064\/5 = 0. What is w?\nAnswer: -2, 3, 8, 1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -14, 4\/9, 1\/2, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10.99 + -0.01. Let w = 10.9 + i. Let y = 2.8 + -3. Sort w, 2, y in descending order.\nAnswer: 2, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31864.7897 rounded to the nearest ten?\nAnswer: 31860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000100001001 + 0?\nAnswer: -100000100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1217*n - 3*m = 1219*n - 17, 56 = -n + 20*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -62, -1\/5, 2, -3443?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1, 6, 25, 62, 123?\n\"Answer: f**3 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 8*f**3 + f**2 - 2*f + 1. Let n be x(1). Suppose -13*i = -15*i + n. Solve 4*b + 20 = i*t, -b + 18 = -5*b + 2*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16990367 + 16368*y - 16990367 + (2*y - 3*y + 3*y)*(-1 - 1 + 0).\nAnswer: 16364*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3013, 1\/5, -1.5, 29 in ascending order.\nAnswer: -3013, -1.5, 1\/5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 7. Let l be (2 + -2)*(0 + 1). Let q = o + l. Solve 9 = q*n + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -14*j - 1. Let o(r) = r**2 + 11*r - 28. Let t be o(-13). Let p be h(t). Calculate the greatest common divisor of p and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 7*r - 13. Let t be h(9). Suppose -20 = t*u, -m + 2*u + 4 + 7 = 0. Suppose -m*l = l. Put 3, -3, l in ascending order.\nAnswer: -3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 424809.\nAnswer: 3, 7, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 719 by 95965.\nAnswer: 719\/95965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/20 - 364\/(-10). Suppose n - 11 = -3*i - 3, 5*i = 4*n + p. Suppose -2*y - i*k + 5*k + 14 = 0, -26 = -4*y + k. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 633522 - 2?\nAnswer: 633520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qddqdddqddqddddddd. Give prob of sequence dqdq.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**2. Let o be 8 + (-3)\/((-9)\/(-6)). Let d(v) = 3*v**2 + o*v - 6*v. Give z(d(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30 + 11. Let q(v) = -v**3 + 15*v**2 + 16*v - 16. Let t be q(16). Let o(g) = -3*g - 68. Let r be o(t). Is c < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 9*i**2 - 7*i - 11. Let b be g(8). Let p(f) = -14*f + 3. Let j be p(b). Is (-8)\/3*j\/(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -58 and -6043186?\nAnswer: 350504788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*q**6 + 4*q**6 + q**2 + 0*q**6 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (0 - 1) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1845687 + -5?\nAnswer: 1845682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {y: 4, a: 2, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*326369.\nAnswer: 2284583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 3\/14554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 87808 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h + 4 - 4*h - 4.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {z: 1, l: 1, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, m: 7, x: 2, k: 2}. What is prob of sequence om?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 7*n**3 - 75*n**2 + 14*n + 54. Determine y(-3).\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -2. Let a be (-3)\/12 - u\/(-8). Solve 0 = -2*k - a*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**5\/40 + 25*n**4\/48 - 2*n**3\/3 + 7*n**2 - 2*n - 8. Let c(q) be the first derivative of v(q). Factor c(a).\nAnswer: -(a - 8)*(3*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 + 12*a + 1. List the prime factors of q(10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -24*k + 19. What is v(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 3 - 2 + 4*k**2 + 4*k + 0*k**3. Let z be ((-11)\/55)\/(1\/(-5)). Let y be (z - -2)\/(1 - 2). Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 6*b**2 + 2. Let i(z) = -7*z - 1. Let s be i(-1). Let j be h(s). Solve 4*q - 2*q + 2*n = 0, 2*q - j*n = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**5\/5 + 36*z**4\/5 - 194*z**3\/5 - 3604*z**2\/5 - 12864*z\/5 - 13376\/5 = 0. What is z?\nAnswer: -19, -4, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i**2. Suppose 1 = 4*k + 17. Let w = -2 - k. Let g(j) = -w*j + 0 + 0. Calculate g(a(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5227439 times -0.1?\nAnswer: 522743.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 76*x - 80.\nAnswer: 4*(x - 1)*(x + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 50044, 50106, 50168?\n\"Answer: 62*y + 49982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 621*k**2 - 6*k + 4. Let t(q) = -622*q**2 + 9*q - 6. Determine 3*m(h) + 2*t(h).\nAnswer: 619*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + -299839.8995.\nAnswer: -299858.8995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 21 = 1049003*i - 1049001*i, -5*w - 60*i + 345 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 385*g**6 + 71*g**5 - 68*g**2 - 6226*g wrt g.\nAnswer: 46200*g**3 + 4260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**3 - 11*r**3 + 9*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(2) - sqrt(14)\/sqrt(63))**2 + sqrt(14)\/(sqrt(14)\/sqrt(2)) + (sqrt(18)*-3 - sqrt(2)) + (-1 + -1 + sqrt(2))**2.\nAnswer: -13*sqrt(2) + 53\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 3*u + 3*d, 3*u = -u + d + 69. Let r be ((-28)\/(-8) + -1)*u. Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4167715)\/(-690))\/((-1)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7)\/b*(b**5\/b)\/b)\/(b*b**6*b)**4 assuming b is positive.\nAnswer: b**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 15\/6 + (-2)\/(-4). Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -95 + 97. Suppose -m = -5*m - 3*r + 46, 28 = h*m + 4*r. What is the remainder when m is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3703991?\nAnswer: 149, 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 35*i**3 + 5*i**2 + 5. Let n(d) = -35*d**3 - 6*d**2 - 6. What is 6*a(f) + 5*n(f)?\nAnswer: 35*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -128486668.\nAnswer: -128486664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q + 8. Let j be h(-3). Let z(b) = -b**3 - 9*b**2 - 22*b - 27. Let g be z(-6). Sort 7, -4, g, j in descending order.\nAnswer: 7, j, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 4*t**2\/3 - 32*t\/3 = 0?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 7*v. Let n(b) = -1215*b + 3. Calculate s(n(f)).\nAnswer: -8505*f + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-193)\/((-19300)\/160) - (-206)\/(-110).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1804.33 - 1797. Let t = -10.36 + f. Let d = 3.2 + t. What is d rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 5*o**4 + 5570*o**3 + 1540020*o**2 - 6277570*o - 7812025 = 0.\nAnswer: -559, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 75124946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r**3 - 26 - 19 + 15*r**2 + 47 - 22 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**2\/7 + 10762912*b\/7 - 21525816\/7 = 0. Calculate b.\nAnswer: 2, 5381454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 52118529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -112*l**3 + 19*l**2 + l.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 116 divided by 1968.\nAnswer: 29\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1472 and 82170.\nAnswer: -120954240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 16*t**2 - 8*t + 30. What is w(-15)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 373*d + 274*d - 4*d**2 + 3*d**2.\nAnswer: -d**2 + 647*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/2)\/(2\/(-340)). Suppose 0 = -8*g + a - 20. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that i**3\/2 - 9*i**2 + 99*i\/2 - 81 = 0.\nAnswer: 3, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 51047*u**2 + 2*u + 3. Let b be o(-2). Let w = 1146076 - 2061889. Let r = w - b. What is r rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1547833963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 4*g**2 - 2 + 2 + g**3 - 3. Let j be u(-4). Let x = 857 - 853. Which is the second smallest value?  (a) -7\/5  (b) x  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from ccoocllccllccoco.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/11 and -23\/652.\nAnswer: 7172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + ((-185)\/11 - 2) - ((-494)\/(-143))\/19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10362554)\/(-680) + 5\/(-100) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 2 m, and 1 y when four letters picked without replacement from {y: 1, f: 1, x: 4, m: 10, b: 3}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 5*o = -1342 - 1435, 3*w + 2*o - 8331 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 6*u + 93. Let p be n(-17). Which is the nearest to p?  (a) 0.3  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 4*p - 3. Let i = p - 12. What are the prime factors of i*(1 - (0 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -23 - (-482 - -469).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*t**25)))**(3\/20) assuming t is positive.\nAnswer: t**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 560434 is divided by 321?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13 + 620*y**2 - 605*y**2 + 0 wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 141273 and 12375.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 2*b + 4766 + 3076 = 0, 5*i = -4*b + 7844. Let u = i + -1018. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86*y - 48*y - 338*y**3 - 38*y + 312*y**3.\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9214?\nAnswer: 2, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 27 - 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 4  (b) 1\/3  (c) 3\/4  (d) 1  (e) 3188  (f) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 17, y: 1, n: 1}. What is prob of picking 1 y and 2 z?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-7)*m\/m**(-10) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/20 and -8\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 25682 at most as big as 25685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-7*w - 2*w + 2*w)*(-3*w**2 + 0*w**2 + 4*w**2) + (-7 - 1 - 2)*(12*w**3 - 28*w**2 + 28*w**2) + 0*w + 0*w - 2*w**3)*(2*w + 0*w - 3*w).\nAnswer: 129*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/3?  (a) 1\/8  (b) -2\/5  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5*h = -19, -4 = 2*z - 6*z + 4*h. Let f(s) be the first derivative of 0*s**3 - 1 + 0*s**2 - 1\/4*s**z + 3*s. Find the first derivative of f(q) wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 52 + 1156.\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 1011?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*r - 2*z, 99*r - 95*r = 4*z - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-5 + (sqrt(2) + 2*sqrt(8) - (-2*sqrt(2)*-6)**2) + -5)*-6.\nAnswer: -30*sqrt(2) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + 2 - sqrt(13))*3 + sqrt(13) + 2*sqrt(39)\/sqrt(3).\nAnswer: 6 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 2\/11, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -b + 510. Let r be b + (-3 - -2 - 0). Let l = -109 + r. What is the greatest common factor of l and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.04 and 610.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 700000 = 2*r - 2*i, -3*r - 350000 = -4*r - 4*i. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*-11*5\/(-330). Which is the third smallest value?  (a) y  (b) 4  (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 12:28 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0099757 rounded to 4 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.08 and -131.9.\nAnswer: -10.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != -12870\/417973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 424381458 a multiple of 3891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 2*b - 36 = 0. Let m be -10*(-2 + (-21)\/(-15)). Calculate the highest common factor of m and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10256908.83 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03, 2\/3, 1\/14, -2.3, 0.3 in increasing order.\nAnswer: -2.3, -0.03, 1\/14, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 - (-191 - -93) - 148?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88578.\nAnswer: 2, 3, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 8:16 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tgl when three letters picked without replacement from llggtglmtggglgttgl?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -13*k**2 - 2*k + 1. Suppose 2*p = 5*j + p, 4*p - 17 = 3*j. Determine y(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2817 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -5 - 4) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 898.896135 - 12.\nAnswer: 886.896135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (248\/(-62))\/(((-5)\/75)\/(2\/(-5))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.62 - 7. Let k = z + 8. Let d = k - 0.380077. Round d to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66.16 rounded to the nearest integer?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0019916 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1066694234.\nAnswer: 2, 47, 11347811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0428 - -0.03606. Round n to 4 decimal places.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140529.\nAnswer: 3, 139, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18.43 + -18.03. Which is the second smallest value?  (a) i  (b) 0  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135477 divided by 45159?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - 15. Let p = -5 - l. Let t(a) = a**2 + p - 12. Let g(u) = 4*u. Give t(g(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -8 + 2 + 19 + -6 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70968*o**2 - 283364*o + 2032 = 0.\nAnswer: -4, 127\/17742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8891783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of -55*w**7\/21 + 349*w**3 + 8*w + 1. What is the second derivative of j(r) wrt r?\nAnswer: -2200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h. Let r(o) = -564*o - 4 + 670*o + 4. Calculate r(q(k)).\nAnswer: -106*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = 12*u - 2920. What are the prime factors of u?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 5*y + 33*h - 30*h, 2*y - 4*h - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5808.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/13?  (a) 3  (b) -20  (c) -541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-14)\/(n**(-8)\/n)*(n**(-2))**(-47) assuming n is positive.\nAnswer: n**89","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*w + 132*w - 615*w**3 - 124*w**3.\nAnswer: -739*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*o - 9*o + 17*o)*(6*o**2 + 13*o**2 - 3*o**2) - 2*o**3 - o**3 - o**3 - o**2 - 2*o**3 + o**2.\nAnswer: 442*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**4 + 896*k**3 - 51060*k**2 + 98568*k.\nAnswer: -4*k*(k - 111)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d + 8 = 26*d. What is the third derivative of d*x**6 + 22*x**2 + 4*x**2 + 26*x**6 wrt x?\nAnswer: 4080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5051020?\nAnswer: 2, 5, 13, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4448 by -4286.\nAnswer: -2224\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14879 - -15000. What is the least common multiple of o and 1089?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6137085 a multiple of 587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -6*o**3 + 5*o**2 + 6*o. Suppose 68 = -14*c + 642. Suppose -c*y = -13*y + 140. Let k(b) = 7*b**3 - 6*b**2 - 7*b. Give y*k(g) - 6*s(g).\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1716\/(-33))\/(-26))\/(-2)*(-3)\/(3\/(-19)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**3 + 4*f**2 - 3*f. Let j be i(2). Let o be 2 + -3 - 182\/j. Let a = -30 + o. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/(-2) + (7128 - 86).\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 - 27*s + 30. Let q be i(26). Solve m + 1 = 0, 3*m = 6*y - q*y - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 133 and 84?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5091, 10162, 15233, 20304, 25375, 30446?\n\"Answer: 5071*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 3*p. Let o(g) = 2*g. Determine y(o(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 708064673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2102 and 4961771?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.834876 rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c. Let r be y(-6). Let m be -984*(3 - (-518)\/r). What is m rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - 81. Let i be (-2)\/9 + m\/(-18). Solve 4*z = 3*z + i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6997*l + 6995*l = -4*s + 44, 5*l = -5*s - 65. Let b = 2 - 2. Factor -6\/7*p**s - 4\/7*p**2 - 2\/7*p**4 + b + 0*p.\nAnswer: -2*p**2*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -187*o + 506. Give b(4).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2 - 4*v + 14*v + 11 - 5. Let n be 12\/8*(2 + (-8)\/(-6)). Is 18 a factor of u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1599, -12631, -42543, -100779, -196783, -339999, -539871?\n\"Answer: -1574*r**3 + 4*r**2 - 26*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72421347*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -46, -138, -278, -472, -726, -1046?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 11 = -4*r, -5*r - 30 = -4*h. Let p(w) = 1. Let u(g) = g + 6. Let l(m) = h*p(m) - u(m). Give l(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -474, 4, 1, 51 in ascending order.\nAnswer: -474, 1, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*l**3 - 117*l**2 - 117*l**2 + 229*l**2 + 136*l**2 - 131*l**2.\nAnswer: -37*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1022*r**5 - 58*r**2 + 2 wrt r.\nAnswer: 61320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.1 - 1.5. Let y = 97\/4 + -24. What is the third smallest value in 0.3, g, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -12  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {d: 2, p: 4, n: 1, f: 7}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, m: 1, b: 3, d: 3}. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 6:59 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 + 16428*g - 32848.\nAnswer: -2*(g - 8212)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {z: 5, g: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1845 and 3075.\nAnswer: 9225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 68\/150 - (-2)\/(-6). Suppose 0 = 9*p - 14*p - 50. Let w be (-52)\/182 - p\/(-14). Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3 = -z. Suppose d + 22 = 4*h + 4*d, z*h + 2*d = 17. Let b(a) = -a**3 + 8*a**2 - 5*a - 10. Let l be b(h). Sort l, 1\/4, -0.1 in increasing order.\nAnswer: -0.1, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, w: 1, a: 3, f: 2, y: 1}. What is prob of sequence xay?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2173 greater than or equal to -2534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u - 4*c - 12, 8*c - 6 = 2*u + 6*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*g - 3)*(-146 + 146 + 81*g**2)*(1 - 5 - 1).\nAnswer: 810*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k. Let l(h) = -h**3 + 11*h**2 - 6*h - 17. Let p(d) = -l(d) + 3*n(d). What are the prime factors of p(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j - 1158*j**2 - 1 - 2*j + 1655*j**2 to o*j**2 + v*j + m and give o.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1017 is divided by 338.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 767111.9 rounded to the nearest one thousand?\nAnswer: 767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2866.4436 months in decades?\nAnswer: 23.88703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6149 + 6148.969772. Round i to four decimal places.\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -204 - -255. Suppose -5*g = -p - 19. What is the highest common factor of g and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -108932 or -108934?\nAnswer: -108932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 19 = 3*f + 29, 2*z = 3*f + 87. Suppose -2*d - d = -z. Solve 0 = 3*r - d + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + 1 - -3 - -2 - (-533)\/(-205). Which is the closest to p?  (a) 2  (b) -4\/3  (c) 9  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 136 = 2*a - 4*y, -68 = a + y. Let q = a - -86. Suppose 3*c = 357 - q. What are the prime factors of c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x**5 - 176*x**4\/3 + 608*x**3\/3 - 276*x**2 + 90*x + 36 = 0. Calculate x.\nAnswer: -2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7563139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -992308 + -0.3396.\nAnswer: -992308.3396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.867941 years to centuries.\nAnswer: 0.00867941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121 + 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45 - -42 - (1 + -1)) + -8 + 30 + -30.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -177\/7 in 46, 0.1, -1\/6, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 402588004 divided by -201294002?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -21617 and -0.526.\nAnswer: -21617.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-237)\/(-7) + (-1)\/(-7). Let w = -29 + h. Let n be 4 + ((-750)\/35)\/w. Which is the second smallest value?  (a) 0  (b) n  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (4 + -12 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 3:42 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1246185 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -54 bigger than -271\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 85, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25\/7 + -111\/35. Put 1\/2, 2, 1\/3, z in decreasing order.\nAnswer: 2, 1\/2, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1552841906 - 1552841906 - 25*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 6*p + 5*p**2 - 12 + 3*p**2 + 6*p + 2*p**3 - 3*p**3. Is n(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -380, -383, -388, -395?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/7*(((-28808)\/325)\/8 - -11)*2\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-14) + 156\/42. Differentiate 3*w**2 - 4*w**k + 4 - 3*w**2 with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*y + 235*y + 61*y)*(-3*y**4 + y**2 - y**2) + (0*y + 0*y - y**2)*(-5 + 5 + y**3 + 2*y**2).\nAnswer: -754*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4424334399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 c when four letters picked without replacement from {a: 12, c: 6}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/35581 and 61\/1394?\nAnswer: 2917642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-75*z - 172*z - 49*z)*(-1 - 2 + 4 + (-4 + 3 - 2)*(-1 + 2 - 2)) as w*z + m and give w.\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -5*c + 6*m + 23, 0 = -2*m + 4. Suppose -3*r = r - 4*o - 364, r - 103 = c*o. Let z(h) = 7*h - 5. What is the remainder when r is divided by z(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -13*b**2 - 11*b - 1. Let h be j(-7). Let s = -290 - h. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*n*x - 7014402*n - 4990559*x wrt x.\nAnswer: -2*n - 4990559","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**3 - 15*u**2 + 12*u + 44. Let i be c(6). Solve i*g + 12 = -28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, -36, -0.01, -0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g\/(g**(5\/2)\/g))\/g*g**(-1))\/(g**(4\/3))**(-3\/25) assuming g is positive.\nAnswer: g**(-17\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from czzc. Give prob of picking 1 z and 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 17*g**2 + 16*g - 6. Let k be x(16). Let t be ((-210)\/50)\/(k\/20). Calculate the greatest common factor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 6*d - 7*d**2 - d**3 + 2*d**3 + d**2 - 2. Suppose -5*y + y - 4 = 0. Let o be -5*(y + 0\/(-1)). Give n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1557519772?\nAnswer: 2, 389379943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113*r - 5616 = 484*r + 61*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((64\/696)\/2)\/((202\/1515)\/(4\/(-5))).\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25370, -50376, -75396, -100436, -125502?\nAnswer: -150600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 243341976 and 47760.\nAnswer: 4776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 0*u + 3*u)*((-2 + 1 + 0)*(-2 + 2 + 1) + 5 - 4 - 4) + 8*u + 7*u - 6*u - u + 5*u - 6*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (4 - 2) - (6 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8083553 divided by 5641\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/161 - 2912\/(-322). Solve 3*i = 4*z, d*i = 5*z + 4*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of -15\/2*c**2 - 9*c + 17\/6*c**3 - 17\/12*c**4 + 0 - 1\/20*c**5. Let r be x(-18). Solve -r - 5 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*j = 5*a + 474, -399*a - 384*a + 787*a = 4*j - 124 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n + 1. Let l(w) = 5*w + 5. Let t(p) = -l(p) + 4*r(p). Let c be t(-5). Put c, -5, 1 in ascending order.\nAnswer: -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -125869\/993510 + 112\/855. Calculate the common denominator of -79\/6 and b.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q + 22. Let k be p(5). Suppose -15 = -4*f - 3*a + k, -4*a + 6 = -2*f. Suppose -3*z = w - 3623, 2*w = f*w - z - 10909. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (12\/(-9))\/(38\/(-6441)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 745, 2149, 4707, 8959, 15445, 24705, 37279?\nAnswer: 53707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i = 42*i - 56 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 15*x**2 - x + 8. Let a be n(-3). Suppose -153*i = -a*i - 42. Solve i*r - 24 + 0 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2367, 9462, 21283, 37830, 59103?\nAnswer: 85102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - 7*z + 6. What is u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y + 28*y + 95 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -4, -109, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (27\/(-54))\/((-4)\/(-56)). Let m(u) = 3*u**2 + 2 - 4*u**2 + 7 - 5*u. Give m(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (198\/81)\/((-118)\/1062).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z**5 + 37*z**4\/3 + 54*z**3 + 302*z**2\/3 + 73*z + 15 = 0. What is z?\nAnswer: -5, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**2 + 14*n. What is r(-10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*u + 5. Suppose 2*x - 20 - 2 = -4*f, 0 = u*x - f - 8. Let i be ((-7)\/3 - -3)*x. Solve 3*c = -i*z + 5*z, 5*c - z - 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 164*((-4)\/8 - (-4 - 0)\/16). Sort 2, 2\/3, -3.6, s in descending order.\nAnswer: 2, 2\/3, -3.6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223991121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-93)\/(-6510)*((-54)\/28 + 48\/(-84))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*t - 3*t - t)*(0 - 9*t**3 + 0) in the form y*t**4 + x*t**3 + g*t**2 + v + o*t and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rgvggrvg. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*p - 3*p - 10. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 PM and 8:21 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 5*m - p - 46, 3*m + 28 + 50 = 20*p + 5 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 67, 2, 91, 5 in descending order.\nAnswer: 91, 67, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {f: 3, s: 3, y: 3, z: 3, i: 2, o: 1}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 10*v + 4 - 6*v - 6*v**2 + 3*v. Let u(z) = 2*z**2 - 2*z - 1. What is 2*a(w) + 7*u(w)?\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -135*d**2 - 31*d**3 + 135*d**2 + 2*d - 8 + 0*d + 6 to the form x*d**2 + k*d + q*d**3 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8950.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2810*v + 2799. Is p(-5) a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + -4 + sqrt(12)\/sqrt(4))*5 + ((sqrt(30)*2)\/sqrt(10) - -5*sqrt(27)).\nAnswer: -20 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1121805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from ddtdqddkdddkqd.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**2\/5 + 141*i\/5 - 144\/5.\nAnswer: 3*(i - 1)*(i + 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 5*u, 4*d - 24 = -3*u + 2. Let o(l) = -9*l + 2. Let k(x) = 279*x - 63. Give u*k(r) + 63*o(r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 23 and -75063 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -46831682 and 0.002?\nAnswer: 46831682.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/4 and -45\/1955572?\nAnswer: 1955572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-8))\/1 - (-1 - (-4935)\/10). Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 8*d - 6. Let l be i(-1). Is 8*l\/10 - 32942\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*w**2 + 57*w**2 - 21*w**2 + 18*w**2.\nAnswer: 107*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + -13 + 8)*(-3)\/9. Solve f*u + z = -2*u + 15, -3*z + 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6480)*-2)\/(-3*sqrt(9)*-1 - sqrt(9) - sqrt(9)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 414 = 2*a + 1100, 3*a = -5*h - 2524. Let g = 819 + h. What are the prime factors of g?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*a**2*j**2 - 3*a**2*j*k*x + a**2*x**2 + a*j**2*k + 2*a*j*k + 6*j**2*k*x + 5*j**2*k - 4*k*x**2 wrt a?\nAnswer: 32*j**2 - 6*j*k*x + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2483.5 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -13486.91 to the nearest 10.\nAnswer: -13490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 595 + -589. Let m(q) be the third derivative of -1\/70*q**7 - i*q**2 + 0 + 0*q + 3\/20*q**5 - 2*q**3 - 1\/2*q**4 + 1\/20*q**6. Let m(w) = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19 take away 14677?\nAnswer: -14676.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - s + 4. Let f be i(-3). Let y(p) = -4*p**3 - p**2 - p - 1. Calculate the remainder when y(f) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.064 - -0.306. Let b = m - 3.242. Let h = 0.06 + 5.94. What is the nearest to 0 in h, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4666736 a multiple of 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3 and 126\/(-12)*(1 + (-160)\/153)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 74023 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 1130.4968 to the nearest ten.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -1, -1\/6, 106944, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -244579 take away -0.0548?\nAnswer: -244578.9452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9187, -9174, -9167, -9172, -9195, -9242, -9319?\nAnswer: -9432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -431 at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 13*r + 135. Let v be f(-10). Let t(u) = 214*u - 64. Calculate the remainder when t(v) is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*((sqrt(2299) + -2 + 2*sqrt(2299) - 5*(sqrt(2299) + -1)) + -5))**2 + 2.\nAnswer: 792*sqrt(19) + 82802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) -123  (c) 19  (d) -1  (e) 3  (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -9917, -19833, -29749?\n\"Answer: -9916*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22?  (a) 155\/14  (b) 0.4  (c) -37  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(14) - sqrt(84)\/(sqrt(6)*-4))*1)\/(sqrt(77)\/(5*sqrt(1584))) + -5)**2.\nAnswer: -1050*sqrt(2) + 11299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 42432*x - 3592512.\nAnswer: 4*(x - 84)*(x + 10692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of s**3\/3 - 7*s**2\/2 + 5*s + 69. Let x(n) = -n + 3. Determine 2*a(i) + 5*x(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16232206?\nAnswer: 2, 8116103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 6 = -3*y. Suppose -g - 2 = -y. Let t be 12\/(-7) + 4\/(-14). Sort -5, g, t in ascending order.\nAnswer: -5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -10*k + 237. What is the remainder when g(20) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -10, -0.07, 3\/2, 0.05, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 107.88 + -111.88. Let v be ((-3)\/15)\/(1\/(-2)). What is the second smallest value in 2, -3\/4, v, r?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*b - 1. Suppose -5*y + 10 = -b*u, -u - y + 2 = 2*u. Solve -3*g + 2*g + 4 = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(5\/4 - (-3)\/((-2160)\/924)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u**3 - 15*u**2 + 16. Let i be p(-4). Put 4\/7, 1, i in increasing order.\nAnswer: i, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05749*-1\nAnswer: -0.05749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 18 = -2*b + t, 4*t + 8 = 0. Let a be 38\/(-3)*(b + -16). Calculate the highest common divisor of 38 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*(-1*sqrt(80) - sqrt(80)))**2*-4 - ((sqrt(45)*4*5)\/(sqrt(36)\/sqrt(256)))**2.\nAnswer: -133120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-40)\/110)\/(210\/(-214)). Let m = 8\/77 - a. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oycccoc. What is prob of picking 1 y and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/26603 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = 13*c - 15199992. Let i be (-6)\/3 - (c - 0). What is i rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnkqrns. What is prob of sequence rsn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 268*g - 1156 + 6053 = -7201 - 498 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -17 + (26 - 26 - (0 - 5))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -438 - 1264796\nAnswer: -1265234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*k + 257 = -64 + 81 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -503\/599339 or -1?\nAnswer: -503\/599339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1893148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 389934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-35)*(-77)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((131 - 4 + 148)*(-2*i - 3*i + 2*i) + i + i + 0*i)*(i**3 - 4*i**3 + i**3).\nAnswer: 1646*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v + 4. Suppose 3*q + 547 = 5*i, -3*q + 15 = -2*i + 232. Let z be 6\/(-10) + i\/(-25). Let k be m(z). Sort -3, 5, k in decreasing order.\nAnswer: 5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 8*d + 3*m = 12, -20 = 5*d - m. Calculate the common denominator of (10\/8)\/(d - 1620\/(-672)) and -31\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -16*o. Let h be s(-1). Suppose 0 = 3*w - 103 - 41. What is the greatest common divisor of h and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4664224 is divided by 1166055.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/15 and -79\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 8*x + 20. Let g be r(-18). Let s = g + -173. What is s rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1804325 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - ((-6)\/4)\/((-99)\/1716).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 166659375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -27*x**5 + 15*x + 3. Let z(f) = -24*f**5 + 1 + 65*f**5 - 19*f**5 - 23*f**5. Let n(d) = v(d) - 3*z(d). What is the second derivative of n(r) wrt r?\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60)\/sqrt(3) - (3 + 1 + sqrt(5))) + -3 + ((sqrt(720) + -1*sqrt(720))\/sqrt(9) - (sqrt(60)*-1*1)\/sqrt(12)))**2.\nAnswer: -28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 2180 = -7325. Suppose -101 = 3*b - g. Let 6 - b*x**2 - 4*x + 2 + 596*x**2 = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-t + 2 - 2 + 2)*(7*t + 6*t - 2*t) as w + h*t**2 + c*t and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/14)\/(p\/(p*p**25))*(p\/(p\/(p**9\/p))*p)**(2\/37) assuming p is positive.\nAnswer: p**(13165\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 5*d. Let w be l(-4). Suppose 0 = -w*a - 3*a + 119. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-90))\/(2140\/2568)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*k**2*l**3 + k**2*l - 7915*k**2 - 3*k*l**3 + k*l + 1760*k + l**3 wrt k.\nAnswer: -6*l**3 + 2*l - 15830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1551, -1490, -1389, -1248, -1067?\n\"Answer: 20*l**2 + l - 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/127)*u**(-2\/23))**47 assuming u is positive.\nAnswer: u**(-14100\/2921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9363.8 + 10220. Let u = 856 - x. Let y = -4.7 + 5. Sort -0.3, y, 2\/9, u in ascending order.\nAnswer: -0.3, u, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -2  (c) 2  (d) -2.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 9*m**3 + 26*m**2 + 2*m + 58. Determine x(-5).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -77.579007 and 0.02.\nAnswer: -1.55158014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 - m**2 - m**2)*(0*m**2 + m**3 + 0*m**2) + (-m**2 - 3*m**2 + 0*m**2)*(-5*m**3 + 3*m**3 - 5*m**2 + 4*m**2).\nAnswer: 6*m**5 + 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53854.\nAnswer: 2, 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of 62 - 1\/17*w**2 + 1\/34*w**4 + 2\/51*w**3 - 2\/17*w. Suppose o(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 605494, 605511, 605528?\n\"Answer: 17*q + 605477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 8*x**2 + 10*x - 5. Let f be v(7). Let q(r) = 3*r**2 - 49*r + 19. Let g be q(f). Let c be -6*(3 - 39\/12). Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-322 + 6756*g + 751 - 429)*(g + 1 - 1)*(2*g - g - 2*g).\nAnswer: -6756*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-50)\/45)\/((-60)\/135)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 5*a + 158, -b + 4*a + 340 = 3*b. Suppose -f - b = -5*u, 24 = 5*u - 1. What is the units digit of 2\/5*(1 - f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*b**3 + 5*b**3 - 56*b**4 - 18*b**3)*(-558 + 558 + 36*b).\nAnswer: -2016*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 4299 divide 360803934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 708*g - 17693. What is h(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 8*c**2 - 11*c - 72. What is w(6)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 772 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66 - 3 + 35 + 34 - 1725*z**2 + 1724*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -9*a. Let v(p) be the third derivative of -p**4\/12 - 5*p**2. Give 26*v(q) - 6*z(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5691 divided by 1897\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - y + 4*y + ((1 + 1 + 1)*(2 + 3 - 3) - 2 + 0 + 0)*(2*y + 2*y - 3*y))*(-1 + 1 - 2*y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1038 - 1058. Which is bigger: -17 or j?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.4, 3, -3, -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2170 - 566 = 12*o. Let w be (7 - o\/(-30))\/(2\/5). Let c = -51.9 - -52. What is the second biggest value in c, 1, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -432, -470, -542, -666, -860, -1142, -1530?\nAnswer: -2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + s + 2. Let n be j(0). Let h(r) = 1 + 0*r + 11*r**2 + 0 - r - 4*r**n. Give h(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -13*j**2 + 16*j + 87. Let h be n(-3). Which is smaller: h or -2\/21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2 + 2*p - 2. Let h be w(-2). Solve 2*r + 0 = -h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47202 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) -1\/3  (c) 0.5  (d) 51\/314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 15*d + 37. Let j be c(13). Let q(g) = g**3 - 10*g**2 + 5*g - 13. Is q(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 26 and 126473193.\nAnswer: 126473219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 7814, 15632, 23450, 31268, 39086, 46904?\n\"Answer: 7818*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence igpt when four letters picked without replacement from pippgitpnkpkkppp?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8311 - -0.8111. Which is the biggest value?  (a) o  (b) 14\/9  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -220210221?\nAnswer: -220210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 29 - ((-3)\/9)\/(2\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 233 a factor of 87608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -214.56930825 minus 0.3?\nAnswer: -214.86930825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/27935349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71705958 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -2\/19, -3\/4, 0.57, 1\/3, -0.2, -51\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -32*w - 252. What is the lowest common multiple of h(-10) and 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2314442 (base 6) to base 2.\nAnswer: -11101000010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*g**3 + 984*g**2 + 7240*g wrt g.\nAnswer: 54*g + 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 5*g**2 + g. Let x = 83 + -83. Suppose k + 4*u = -x*u - 15, 17 = k - 4*u. Suppose -3*j + 2*z = -3*z + 3, -j - k = 5*z. Determine o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of q**5\/120 - q**4\/8 + 3*q**3\/4 - 3*q**2\/2 - 6. Let z(g) be the second derivative of v(g). Factor z(r).\nAnswer: (r - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + 11*d**2 + 19*d + 1. What is i(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*w**2 - 540604*w**3 + 149*w**2 + 540611*w**3 - 115*w**2.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 48 = -b. Suppose 4*y + b = 46. Let t(l) = l**2 + 14*l - 34. Is t(y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2292, -5, 129 in ascending order.\nAnswer: -5, 129, 2292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, b: 16}. What is prob of sequence bb?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - -3)\/((-1)\/10). Let i(n) = 9*n - 1 + 3 - m*n. Calculate i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**5\/20 - y**4\/3 + y**3\/3 - 3*y**2 + 3*y. Let s be n(4). Let f(i) = -4*i + 2. Give f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1000010111110101 (base 2) to base 13\nAnswer: 127bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*d = -i + 2, 4*i + 23016*d - 23017*d = 79 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (26 + -26)*(1 + 1\/(-2)). Which is bigger: 2\/8717 or x?\nAnswer: 2\/8717","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 6*x - x + 33, 3*x - 9 = 0. Suppose 3*s + 2*s = p + n, -5*p = 5*s. Put 49\/3, -1\/3, s in ascending order.\nAnswer: -1\/3, s, 49\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 23\/8 of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7\/5)\/b**(2\/11)*b**(2\/7)*b**(2\/37))**(-3\/17) assuming b is positive.\nAnswer: b**(53079\/242165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -212022001222?\nAnswer: 212022001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 49*v - 54*v + 90. Suppose 4*s + 4 = -4*m + 28, 5*m = 2*s - 40. Calculate the smallest common multiple of s and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -1393*f**6\/6 - f**2\/2 - 932*f + 446. What is the second derivative of g(u) wrt u?\nAnswer: -27860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -2*m + p, -4*p - 22947 + 22888 = -5*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 10*f**2 - f - 29. Is m(5) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**0*l**(-20)*(l*(l*(l*l**(-1))\/l)\/l)\/(l**(-1\/2)\/l) assuming l is positive.\nAnswer: l**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 18 = 2*t + 6, 10 = 2*q + 2*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/2208 and 17\/12000.\nAnswer: 276000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 3 + 5)*(3 - 11 - 1)*(-2*o**3 - 6*o**3 + 4*o**3).\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**5\/3 - 9609448*u**4\/3.\nAnswer: 4*u**4*(u - 2402362)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of -1\/12*f**4 + 3*f**2 + 39*f - 5\/6*f**3 + 0. What is j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*m = -148*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 126\/19 + 476\/209. Which is greater: t or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -d*j*r**2 + 4*d*j*r + d*j - d - 13*j*r**3 - 189*j wrt r?\nAnswer: -2*d*j*r + 4*d*j - 39*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*4.02.\nAnswer: -4.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 254578.9 minutes to nanoseconds.\nAnswer: 15274734000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 99c4 - 5?\nAnswer: 99be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*((-4)\/(-10))\/2 - (-315)\/75) + -53?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + j**2 - 2. Let d be t(-2). Let y be 3 + (-3)\/(d\/(-4)). Let h(m) = -m**2 - 12*m - 18. Let o be h(-10). Solve o*f = y + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3277\/390 + 215\/26. What is the third biggest value in -3\/4, 35, k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rdrrrfntf. What is prob of picking 1 t and 1 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/9 or -53406335?\nAnswer: -53406335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 341*j + 2. Let y(n) = -2*n**2 + 266. Give y(v(l)).\nAnswer: -232562*l**2 - 2728*l + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10897946, -43591773, -98081486, -174367085, -272448570?\n\"Answer: -10897943*k**2 + 2*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 5 = j - 19, 0 = 3*j + 2*g - 40. Suppose -q + j = 3. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 501 and 476 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15297024 and 13248?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -4.7, -0.3, 4, 2\/3, -160 in increasing order.\nAnswer: -160, -4.7, -0.3, 2\/3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 3*x + 9. Let p = -9 + 14. Suppose 24 = -p*v + v. Calculate r(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 4002 = 3*x, -3*x - 2*c + 4009 = -6*c. Let t be (6\/(-8))\/((x\/(-20))\/3). Is 1 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 15577 and -0.2?\nAnswer: -3115.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -5*g - 3. Let d(m) = -10*m + 5. Let c = 20 - 17. Let z(o) = -9*o + 3. Let y(b) = c*d(b) - 4*z(b). Calculate 4*x(s) + 3*y(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - -36 - (-22 - -2 - -34)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -17. Suppose 0 = 9*r - 7*r - 6. Calculate the remainder when w is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3*w - 3. Let k be d(-8). What is the remainder when 40 is divided by 1\/1*k\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1*1*16\/160\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -3, -30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 5, -1187, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28724 - -947999\/33. Let d = 54\/11 - y. Let r = -0.23 + 0.03. Which is the third biggest value?  (a) d  (b) -0.05  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4092*q**5 + 47*q**4 + 582*q**2 + 3655*q wrt q?\nAnswer: 245520*q**2 + 1128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 12*q**2 + 9*q - 26. Let k be r(-11). Let p(g) = 3*g**3 + 5*g**2 + 5*g - 1. Let d(w) = 2*w**3 + 4*w**2 + 4*w - 1. Determine k*p(n) + 5*d(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58, 317, 766, 1405, 2234, 3253, 4462?\nAnswer: 5861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 10*j - 1. Calculate f(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*w + 204 = 0, 2*j = 3*j + w - 101. Suppose 5*b + 0*b - 100 = 0. Calculate the highest common divisor of b and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = i + r - 13, -2*i + 31 = 5*r. Let f(d) = -1 + i*d**2 - 3*d**2 + 5*d**2 - 3*d**2 + 7*d**3. What is f(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1196.53634 rounded to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = 4*k - 1, -2*l + 2 = -6*k + 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)\/(sqrt(20)\/sqrt(4)) + 5*sqrt(343) - ((-2 + sqrt(7))*-3 - -2*sqrt(7)*-3)) + 3.\nAnswer: -3 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2374210 and 1918?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 94.9 and 0.01665.\nAnswer: 1.580085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 2 = r - m, -4*r = 5*m + 33 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-6)*(-36 + 15). Let w(k) = -126*k - 17. Is w(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yqqqyrqquya. What is prob of picking 1 r and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91 - 89 - (-9 + (2 + -8 - 0)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f. Let r(g) = 48603110*g. Give v(r(x)).\nAnswer: -97206220*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -25609358118 minus -151?\nAnswer: -25609357967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/2 + 978\/(-8). Let c = f - -124. Let y = c - 49\/36. What is the closest to -1 in -1\/6, y, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of -2*h**7\/105 + 4*h**6\/15 - 6*h**5\/5 + 18*h**3 + 14*h**2 + 24. Let i(r) be the second derivative of k(r). Solve i(g) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 - 2*k + 53. Let t be m(-8). Solve -11 = -t*y + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -198 + 341. Let h be ((-235)\/(-20))\/(15\/180). Let c = l - h. Solve -t + c*t = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**3 + 145*s**2 - 72*s + 96. Let p be o(-73). Solve -p = -19*r + 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 299302 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3140 times -2.1\nAnswer: -6594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144427290 and 2?\nAnswer: 144427290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*p + 4*p + 25. Suppose 3*f + 0 = p*n + 9, 0 = -4*n. Suppose -18 = -0*b - f*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 32, 72, 128, 200?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 8*z + 8. Let q = 11 + -4. Let t be i(q). What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 5*v - 9 = -472, -v + 1405 = 3*p. What is the least common multiple of p and 44?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1594, -1620, -1684, -1804, -1998, -2284, -2680, -3204?\n\"Answer: -3*m**3 - m**2 - 2*m - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.03445 + -0.96555. Let m = 0.04 + 0.36. What is the third biggest value in 113, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, -30, -4, 4, -3, 3 in descending order.\nAnswer: 37, 4, 3, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 2*w + 3. Let g be h(3). Let j = -4 - g. Suppose -3*x = -j*x + 15. Solve x*u + 22 = -5*m, 3*u = 2*m + 2*m + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72563, 72072, 71581, 71090?\nAnswer: 70599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.03, 1.7, 1\/5, -0.5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-6))\/((-2)\/(-18)*3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 46?\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 668549698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -18. Let t be -87*((-4)\/(-6) - (-28)\/(-49)). Do p and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8833  (b) -6.6  (c) -3  (d) 1\/2  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*w**4 + 901*w**3 + 7*w**2 - 42*w + 1653 wrt w.\nAnswer: 96*w**2 + 5406*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -47, -8, 3, 1.\nAnswer: -47, -8, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, -0.2, 0.1, 128, -3, 0.23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17682.6 * 0.4.\nAnswer: 7073.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((78\/9)\/(-13))*(-80)\/(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104)*-2*1)\/(sqrt(32)*5))**2 - (6*sqrt(468)*1 - (sqrt(468) + -1 + -3))**2.\nAnswer: -292887\/25 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4\/6963 + 204148\/174075. What is the common denominator of 7\/120 and p?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2463875679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -245, 16182, 1, -1 in ascending order.\nAnswer: -245, -1, 1, 5, 16182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -2, 4, 22 in decreasing order.\nAnswer: 22, 4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6017 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/10756501 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 17*s**2 + 13*s + 31. What is n(16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-2 - -1 - (58 - 56)) - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**2 - m**5 + m**2 + (-2 + 0 + 4)*(0*m**5 + 2*m**5 + 0*m**5) + 0 + 0 + m**5 + 3*m**5 + 2*m**5 + 6*m**5 + (4*m**4 - m**4 - 4*m**4)*(2*m + 2*m - 3*m).\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 37632 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 288.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -2*r**7\/21 + 8*r**6\/35 + 4*r**5\/35 + 21*r. Let c(n) = 0. What is n?\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 666528 = -18*q + 114*q. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6095 by 4.\nAnswer: 6095\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z. Let w be ((-1 - 0)\/(1\/2))\/((-148)\/222). Let b(x) be the second derivative of 4*x - 2\/3*x**w + 0*x**2 + 0. Calculate b(l(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -707, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {o: 4, m: 2, s: 3, q: 4, h: 3, t: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 3*h + 3. Let m(o) be the second derivative of o**5\/10 - 5*o**3\/6 + 5*o**2\/2 + 126*o. Give 3*m(n) - 5*v(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15 - -12) + (-18)\/(-2). Let b(a) = -a**3 + 6*a**2 - a + 4. Determine b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -21a9b?\nAnswer: -21a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*w - 59*w + 597 + 184 - 64*w + 181*w to r + s*w and give r.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jrtt when four letters picked without replacement from rjtjtttjjjtjjjjjttrj.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 24*c**2 + 88*c**2 - 5 - 22*c**2 - 40*c**2.\nAnswer: 2*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28341 - -28343 - (78 - (-1 - -3)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 0, -3*k + 5*i + 6 = -2*k. Calculate the remainder when 20\/(k\/54*6) is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of l**4\/6 - 4*l**3\/3 - 5*l**2\/2 + 8. Let b(s) be the second derivative of i(s). List the prime factors of b(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 7:54 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 8*d**2 - 18 - 11*d**2 + d**2 + d**2 + 12*d + 1. Let k be r(9). Solve 11*j = -k - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, t: 1, l: 2, x: 2, f: 1, o: 11}. Give prob of picking 3 o.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -9, -10, -9, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, y: 1, l: 1, a: 1}. What is prob of picking 1 l and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -105 + 185. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/1200 and 1\/64.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2558\/273 + -158\/21. What is the common denominator of 28\/29 and z?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -1. Let o(t) = 3*t**2 + 52*t - 38. Let x(r) = o(r) - 2*z(r). Factor x(a).\nAnswer: (a + 18)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 15)*(-60)\/(-250)*1350\/108.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 9*l - 8*l)*(2*l - 5*l + 4*l)*(0 + 1 + 0) + 5*l**2 + 52*l**2 - 8*l**2.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 13 = -25. Let x be (a\/(-3190))\/(8\/10). Let u = x + -8929\/1914. Are -5 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 10:40 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -0.2, 16\/115, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmpmmmmm. Give prob of sequence mm.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50 - -55. Suppose -5*w + w = -5*o + 3, 0 = -x*w - 2*o - 12. Let a be (-4 - -3)\/(w\/24). Solve 4*m - m + a = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11 and -151.9.\nAnswer: -1670.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1201 (base 3) to base 7.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219 = -5*w - 3*x, 162 = 4*w + 3*x - 5*x. Let t = w + -51. Is 44 a factor of (0 + (-44)\/6)\/(t\/378)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - 2)\/((-9)\/18). Let k(a) be the first derivative of -4 + 0*a**3 - 3\/4*a**4 - t*a + 0*a**2. Differentiate k(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 4 + 0 - 2 + 0 + 2 - 5 + 4 + (1 + 2 - 1)*(0 + 0 - 2))*(10*r - 515 - 516 + 1038).\nAnswer: -80*r - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(-1)\/4*((-18848)\/57)\/16.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1477 - -2.1477. What is the third biggest value in w, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2133811486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -815, -800, -783, -764?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 855 a factor of 4020315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 185329493.\nAnswer: 443, 418351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away -137.8515?\nAnswer: 137.7515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-6) + (-4)\/42.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 11) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.065?  (a) 5  (b) -4  (c) 30  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pplppxlvlppxpx. What is prob of picking 2 l, 1 v, and 1 x?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5\/3  (b) -4  (c) -318  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5172495 to the nearest integer?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.17?  (a) 0.015  (b) -1  (c) -6  (d) 1  (e) 14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/7, -4, 2\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91523599?\nAnswer: 91523599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 5*m**2 + 6*m + 6. Let r be n(6). Let b = 401 + r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 38739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -11b00 (base 15) to base 9\nAnswer: -85420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 386094 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16063942 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-2) - -1) + 4110\/548. Solve x = -37*l + 35*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51.80269l to millilitres.\nAnswer: 51802.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 121223 (base 6) to base 7\nAnswer: 43053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 234*o + 893 - 1337 + 6928 + 302 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of 65*x**2 + 228. Let j(f) = -3*f. Give j(b(m)).\nAnswer: -390*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -67.\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-1)*12\/15. Let j = 0.015 - -106.985. Let t = j - 104. Are t and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1)\/(g\/g**(-8))*(g**(-2))**(-45\/2) assuming g is positive.\nAnswer: g**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 428066 is divided by 106929.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4984\/2492)\/(20\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*(15\/2 + -1). Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29252 (base 10) in base 15?\nAnswer: -8a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 2:46 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/8*(-8 - (-12 - 0)). Suppose 7*f + 4*d - 1392 = i*f, -5*d - 1383 = -4*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.72 - 354.391.\nAnswer: -361.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20684, -41406, -62126, -82844, -103560, -124274, -144986?\nAnswer: -165696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4522311 and 7204.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16\/36 + 406\/18. Let b(f) = -f**2 + 26*f - 41. What is the units digit of b(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 5. Suppose -21 = -5*h - a. Suppose l - 3*l = -4*g - 24, 0 = -g - h. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61625790?\nAnswer: 2, 3, 5, 684731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*d**3 + 164 - 164 - d**3 + 3*d**2 - 3*d**2 + (-3*d + 3*d - 2*d)*(-2*d + 2*d + 2*d**2) + 4*d**3 - 2*d**3 - d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.31084  (b) 430  (c) 3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.169053ml?\nAnswer: 0.000169053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (207 - (-2 + 2)) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 74 - 71. What is the fourth smallest value in -4, -2\/5, j, -13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 94 from 19547.384.\nAnswer: 19453.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-20) + (-6)\/90*3 - -15. Let z be (-26)\/(-6) - (-6)\/9. Calculate the highest common factor of t and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11066 - -11070. Sort 8, 0, g, -3, -1 in ascending order.\nAnswer: -3, -1, 0, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 15*m**2 - m + 215. Determine q(16).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 110 + -108. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 802.6589m in micrometers?\nAnswer: 802658900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -0*i + 8*i. Factor -6 - i*q**2 - 3*q**4 - 3*q**3 + 5*q**2 + 3*q + 6*q**2.\nAnswer: -3*(q - 1)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-232)\/70*-3 + (-14380)\/(-251650)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -58*a**2 + 46*a - 411. Let y(w) = 48*w**2 - 47*w + 411. Let k(b) = -5*y(b) - 4*z(b). Find the first derivative of k(p) wrt p.\nAnswer: -16*p + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12887 - 65031\/5. Let k = g - -3641\/30. Let w = -363001\/61222 + 3\/4373. What is the common denominator of k and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11402, 45591, 102584, 182381, 284982?\nAnswer: 410387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7223 is divided by 537.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -11 - 9. Suppose -3*l = -o*l + 2. Find r such that 1 + 6*r - 4*r**3 + 3*r**2 - 4*r**l - 2*r = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -0*f - 3*f. Let q(h) = 9*h - 42. What are the prime factors of q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j, 1 s, and 1 t when four letters picked without replacement from njjtjdjdtjddsntojdo?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9865 is divided by 2441?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d8e (base 15) in base 8?\nAnswer: -14442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**3 + n**2 + 8786*n - 866. Give c(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 20525651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*r = -3*m + 802, 3*m - 5*r = 2396. Suppose 0 = w - m + 42. Suppose w + 393 = 4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 32 = -2*p. Let c be ((-170)\/(-60))\/((-2)\/(-12)). Suppose -13*t - 84 = -c*t. What is the remainder when t is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + sqrt(171)) - sqrt(171) - -4*(sqrt(171) + sqrt(171) + -3))**2.\nAnswer: -864*sqrt(19) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - t + 22 = 0. Let i = -3 + t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - 67. Does 42 divide (-1)\/(w\/(-32)) - (-5674)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -671 + 1293. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/773306 and 121\/414.\nAnswer: 6959754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -w - 88. Suppose 360 = 3*o + 3*r, 13*r = 4*o + 18*r - 479. What is the highest common divisor of w and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 274 + -2b?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 729941 and -47?\nAnswer: 729988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 12 = 3*y, -4*f = -y - 2*y + 12. Sort y, 2, 3, -141.\nAnswer: -141, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*z + 32 = -0*u, 5*z - 48 = -3*u. Calculate the remainder when 15 is divided by 2 - (-7)\/14*u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 274*0.5\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**2 - 6*g**3 + 2*g**2 + (-5*g**2 - 5 + 5)*(2*g + 2*g - 3*g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*k - 57*k + 47*k - 36*k**3.\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352*g**5\/3 + 13360*g**4 - 1040662*g**3\/3 + 164332*g**2 + 444134*g\/3 + 21268 = 0.\nAnswer: -1\/4, 1, 39, 818\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i**2 + 10*i**2 + 10*i**2.\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of -n**4\/24 + 30*n**2. Let c(v) = -5*v + 1. Determine c(a) - h(a).\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w**2 - 2*w - 29. Give h(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h**2 + 3*h + 3. Let f = -12 - -16. Let s(g) = 3*g**2 - 2*g - 2. Let k(a) = f*m(a) + 5*s(a). Give k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 370 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 5, 1.7, -2.3, -4, -0.22?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 + -46. Let n = s + 28. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63390128 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: Simplify sqrt(15)\/((sqrt(100)\/sqrt(4))\/sqrt(5))*4.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmbbbbbbbbbb. What is prob of sequence bbm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0426334273 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.19 - 1.01. Let i = -0.2 - u. Let c = -1.5 + i. Are 2 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 17 - 21. Sort -5, 10, o in decreasing order.\nAnswer: 10, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-5)*180\/8. Suppose 0 = a + v - 110. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (-38 + 14 + -14 + 12 + -8).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r - 2*r + 2*r + 20 - 20 - 62*r - 5*r + 2*r - 9 + 5 + (2*r + 2 - 2)*(1 - 2 - 1).\nAnswer: -70*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -340, -347, -366, -403, -464, -555?\n\"Answer: -j**3 - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 481, -3373, -11549, -24047, -40867, -62009?\n\"Answer: -2161*h**2 + 2629*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11527075.\nAnswer: 5, 7, 199, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.234 - 105.766. Let i = -101 - n. What is the closest to 5\/3 in i, 1\/9, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 294  (b) -1\/5  (c) -0.15  (d) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 5*l - 16, -4*l - 4 = 4*f + 12. Suppose l = -4*n + n + 216. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14346, 19100, 23854, 28608, 33362, 38116?\nAnswer: 42870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + -2 + (36 - 0\/(-6)). Suppose 0 = 4*h + h - 270. Calculate the highest common divisor of v and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 2. Let w = 9 - 8.6. Let y = w + -0.5. Which is the third smallest value?  (a) z  (b) y  (c) -0.4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -1, -2, 326\/45, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4*j = -f - 7, f - 9 = -4*j. Suppose 0 = -5*l - 2*r + 36, j = -l + 3*r - 1. Let a = -4 + l. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, b: 2, r: 1, m: 1}. Give prob of sequence mb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -17*m + 1. Let c be x(-1). Let y = -9 + c. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5*x**2 + 6*x + 6. Let k(f) = -f**3 - f**2 + f + 21. What is the remainder when n(-4) is divided by k(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 + 6*j - 29. Let x be u(7). Calculate the common denominator of 1*(-3 + x\/20) and ((-412)\/(-54))\/((-8)\/6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w - 9*w - 89 + 88 + 1 - 1 - w + (-3 - 2 + 7)*(-2*w + 3*w - 3*w).\nAnswer: -12*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -278.8 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 6*p - 2. Suppose 0*v = 5*v - 5. Let q(w) = w + 1 + 0 - v. Determine -d(l) + 4*q(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 166206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -9643714 and -9643709 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -27  (c) -96  (d) 5  (e) -1\/7  (f) -3  (g) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-2)*(44 + -2). Let m be 19\/1 - (-8 - -6). Suppose 0*l + 3*l = m. Calculate the greatest common divisor of l and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 9.51?\nAnswer: -47.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i + 8. Let a be r(-6). Suppose -h + 4*z = 17, 0 = a*h + h + 3*z - 24. Calculate the remainder when 10 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 times -39971\nAnswer: -27979.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7\/4, -3, -22, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -102 + 99. Put 0.4, 71, 0.1, j in ascending order.\nAnswer: j, 0.1, 0.4, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351 - 203 = 5*p + 173 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of n**5\/20 + 5*n**4\/12 - n**3 - 3448*n**2. Calculate k(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -148*p**2 - 209 wrt p.\nAnswer: -296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-12) - (-207)\/12. Let b = t - 55\/3. Put b, 5, -2 in descending order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2300323 (base 4) to base 7\nAnswer: 45004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 183 divide 303677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/7 - (-208)\/7. Find the third derivative of 3*s**3 + 5*s**4 + 117*s + d*s**2 - 55*s - 62*s wrt s.\nAnswer: 120*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -37*f**2 - 2*f. Let c(o) = -558*o**2 - 31*o. Let v(w) = -2*c(w) + 31*r(w). Let s(h) = 14*h. Give s(v(m)).\nAnswer: -434*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-25)\/(-9) + 0 + -3. What is the nearest to 0 in 3, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1531, 3230, 4929, 6628, 8327?\nAnswer: 10026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-782*f + 830*f**2 + 782*f)*(-2 - 1 + 2)*(4*f - 5*f + 2*f) to b + d*f**2 + l*f**3 + x*f and give l.\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1470 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 64, -1, -19, -5 in increasing order.\nAnswer: -19, -5, -1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40.089361 - 39.5593. Let w = -0.53 + v. What is w rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 16674?\nAnswer: 16671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 32\/14 + 14\/(-49). Suppose u*m + 9 = -3*i - m, -3*m - 9 = 2*i. Let p be ((-2)\/14)\/((-4)\/14). Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -174?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 134205?\nAnswer: 134200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 4*h**3\/7 + 506376*h**2\/7 + 16028066148*h\/7 + 128192123168\/7 = 0.\nAnswer: -63293, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-3\/7)*n*n\/(n**9\/n*n)*(n**2)**(2\/11) assuming n is positive.\nAnswer: n**(-544\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1409.4 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/3, 1, 1\/3, -3301 in ascending order.\nAnswer: -3301, -4, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 4*s - 31. Let w be c(14). Solve 44 = w*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*g = 3. Let n(p) = 22*p - 30. Let z be n(g). Solve 2*b + 4 = -2*f, -5*b + 4*f = -z + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3558 - -7260. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**3\/((i\/(i\/(i\/(i**9*i*i))))\/i))\/((((i\/i**(-2\/7))\/i)\/i)\/i**(-5)))**45 assuming i is positive.\nAnswer: i**(3060\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*u + 30*u - 59*u - 14 to s + y*u and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16732.8 rounded to the nearest one hundred?\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*g + 2 = -99*g, 5*g + 1480 = 5*a. What is the least common multiple of a and 392?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 520 and 22400.\nAnswer: 291200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2204 and 529511?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x + 19. Let u be -3*((-10)\/3 + 5) + 5. Give f(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 7*l + 1. Let x be y(7). Suppose -f = f - 12. Let r = f + x. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2939 * 4\nAnswer: -11756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-10)*30\/12*9. Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 + -17. Suppose 0*x + d*x = 20. Suppose 0 = -5*b + x*y + 290, 242 = 5*b - y - 28. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -9\/7, -61269.\nAnswer: -61269, -9\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*b**6 + 7746*b**4 + 6*b**3 - 4*b**2 + 75471*b?\nAnswer: 4200*b**3 + 185904*b + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + 2 + (-2 - 1). Let j(o) = -6*o**2 + m*o**3 - 6*o**3 + o**2 - 2*o. Let d be j(-5). Solve -y - d = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3001 - -3?\nAnswer: -2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/12 - -2)\/((-6)\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l + 2. Let t(z) = z + 3. Let w(y) = -6*k(y) + 5*t(y). What is w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 67*s + 1228. Determine u(-19).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4, -5, 5\/4, -4\/3, 54\/5, -0.3?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3052 or 18305\/6?\nAnswer: 18305\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + 7*h - 19. Let a = -7938 - -7946. Determine u(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/657 and -41\/292.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 + 750*m + 92708.\nAnswer: -2*(m - 473)*(m + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/15*(33\/(-22) - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -518*y = 4*z - 522*y + 32, -5*z + 18*y = 131 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 150148 + -1202841\/8. Let u = z + 207. Is u greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3113*c**5*n**3 - 27*c**5 + c*n**3 - c*n + 54*n**3 + 2*n**2 wrt c.\nAnswer: -62260*c**3*n**3 - 540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11153, -22306, -33461, -44618, -55777?\n\"Answer: -y**2 - 11150*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-42)\/63 + ((-697)\/(-85))\/((-6)\/(-10)). Solve -2*b + 3*k - 13 = 0, 9*b - g*b - 5*k + 29 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-80*t**2 + 27*t + 81*t**2 - 1 + 0)*(-2*t**2 - t**2 + 5*t**2).\nAnswer: 2*t**4 + 54*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of 675001*l**4\/4 + l**3 + 3*l**2\/2 + 2*l - 3. Let v be i(-2). What is v rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1541574 and 396.\nAnswer: 33914628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -782*a + 787*a - 40, 0 = 3*a + 4*k - 40 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 13287385.\nAnswer: 4\/13287385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(100)\/(3*sqrt(10)))\/(sqrt(2) - (-3*sqrt(242) - sqrt(242)))*-4 + 1.\nAnswer: -8*sqrt(5)\/45 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 3*q - 276. What is the derivative of -29 + 208*n**2 + q - 180*n**2 wrt n?\nAnswer: 56*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 + 6 - (-9 - -2) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.6?  (a) -1515  (b) 5  (c) -2\/7  (d) 2  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.298216239296 and -0.18.\nAnswer: 0.118216239296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 11:39 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lqsqlclcpl. What is prob of picking 1 l, 1 s, and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.872 + 0.772. Let m be (-6)\/(-2100)*995 + (-8)\/(-10). Is o greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 75192740 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**3 - 141*n**2 + 154*n - 748. Determine w(46).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2247117 divided by 5.\nAnswer: 2247117\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1168 divided by 584?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*b - 10 = 6*b, -2*r + 7 = 5*b. Let t(m) = 6*m**3 - 2*m + 26. Let k be t(r). Suppose 0 = 9*h + 23 - k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -6*x**3 - 197*x**2 + 28*x - 182. Determine o(-33).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1771057825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -640804, -640814, -640824, -640834?\nAnswer: -640844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6952 + 10.3048. Which is the third biggest value?  (a) -1\/2  (b) i  (c) 1  (d) 0.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 12*l + 6 = 3*r, -3*r = -4*l - 15. Let m(p) = -p. Let w(h) = -h**3 - 5*h. Give r*m(f) - w(f).\nAnswer: f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**3*q**2 - 24*h**3 + 30*h**2 + 32993*h*q**2 wrt h.\nAnswer: -12*h*q**2 - 144*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 7. Let w(x) be the first derivative of -x**3\/3 + x**2\/2 + x - 520. Give w(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + -7 + 4558 + 7 + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 145*g - 544*g + 3591. Suppose 2*y + 14 - 2 = 3*d, -8 = 3*y - 2*d. Which is the closest to y?  (a) g  (b) -0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41391 - 41391 + 588*q**3)*(-3 + 3 - 2*q).\nAnswer: -1176*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 6:34 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 i, 1 a, and 1 o when four letters picked without replacement from hgohoaaoahhhwi?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/(-2))\/5 + 4 + -9\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2047\/755 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.69 less than 6?\nAnswer: 7.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) 5  (b) -5  (c) -4\/9  (d) -5\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, -0.2, 143\/32, 0.2.\nAnswer: -5\/4, -0.2, 0.2, 143\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 180 - -192697144.2?\nAnswer: 192697324.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 k when three letters picked without replacement from rkrkrxkrzkx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a + 4*h + 29, 5*h + 111 = 106 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*2\/(-24))\/((-189)\/9639)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 1 - 9) + -29 + (-131 - -160).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/(-286) + (-110)\/(-121)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 131 = -u, -2*u - 2*c + 298 = 32. Suppose -8*h - 285 = -27*h. Calculate the highest common factor of u and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 4:16 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 5. Let h be 35\/d + 3 - -1. Is h smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4397715696 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2010856113?\nAnswer: 3, 7, 59, 540989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 167.49 * 2845\nAnswer: 476509.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6 - 9)\/(2 - 3). Suppose -7 + 15 = -4*v, -f*v = 4*d - 2. Suppose 4*p - 5*w + d*w - 959 = 0, 3*p + w = 729. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + p + 100 = 0, -3*p = -2*c - 0*p + 40. Let b = c - 25. Let i be 0\/(b\/(2 - 1)). Solve 0 = -i*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102\/(-51)*4\/(-36)*(-10)\/((-1120)\/42).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-448)\/1232 - 28506\/(-82808) and 51\/20.\nAnswer: 18820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, -2\/7, 2\/3, -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7473905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 7*d**2 - 8*d + 2. Let i be v(-8). Suppose -i*g = 2*g - 16. Suppose z = g*z - 15. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228 + -217 + 0 + -21 - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5a (base 15) to base 5.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3606 + 3605.39. What is the smallest value in v, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -21, -62, -123, -204, -305, -426?\n\"Answer: -10*b**2 - 11*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 6*x**2 + 4*x - x**2 + 15 + 8*x. Let y(u) = -14*u**2 - 36*u - 46. Suppose 0 = -3*p + 7 + 17. Let s(f) = p*z(f) + 3*y(f). Factor s(d).\nAnswer: -2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 136*n**2 - 2*n + 101*n**2 - 207*n**2.\nAnswer: 30*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 91455279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/1440 and 43\/4162800.\nAnswer: 24976800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-30)*(-4)\/2*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -4*n**3 - 88*n**2 - 7*n + 9. Let u be k(-22). Suppose -7*g = -40 - u. Calculate the remainder when 926 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2057*h + 234 = 2044*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 214360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1706?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9704249 is divided by 344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/15?  (a) -2  (b) 45  (c) 5  (d) 0.028\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9077 - 4828 = -2670*h + 81304 + 24405 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -933417 by -9.\nAnswer: 103713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-8)*4\/33 - 3472\/(-7843).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 2.9. Let b = -0.4 + l. Let a = b + 1.5. Is a not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22660861?\nAnswer: 29, 781409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 345, 657, 969?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2. Let b(c) = c**2 + c + 1. Let v(t) = 42*t**2 - 18*t - 18. Let k(r) = -18*b(r) - v(r). Determine k(j(l)).\nAnswer: -60*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 12*g - 2. Let b(v) = 59*v - 11. What is -2*b(c) + 11*d(c)?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from qnnnljnnljjlkl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -150, -3, 1\/2 in ascending order.\nAnswer: -150, -3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1622 (base 7) to base 13.\nAnswer: -3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -120 + 119. Let f = -21 + 20.6. What is the closest to c in 2, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*f + 0 = -9, f = 3*u - 9. Solve u*r = 0, 0*w = -w - 5*r - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8640 a factor of 948240000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1633 - -1603.66. Round r to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 928429353 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*h + 985881*g - 985879*g = -12, -2*h - 5 - 18 = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74996512 is divided by 3386.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14642305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*w**3 - 309*w - 1707.\nAnswer: 12*w**2 - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21?  (a) -2\/3  (b) 3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/9*j - 2\/9*j**2 - 2\/9*j**3 + 2\/9.\nAnswer: -2*(j - 1)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1\/4  (b) -24  (c) 2\/5  (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = 2*g + 41 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -703*w**3 - 11*w**2 + 22*w + 38. Let u(p) = -702*p**3 - 12*p**2 + 24*p + 41. Determine -12*o(z) + 11*u(z).\nAnswer: 714*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + 0. Suppose -4*g + 3 = l + j, 0 = l - g - 19. Let i(m) = m**2 + 2*m - 3. Let d be i(-4). Solve 5*a = -d*c, -c + 5*c = -a + l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -2*h - 1. Let o(m) = -42*m - 21. Calculate -18*l(g) + o(g).\nAnswer: -6*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus 2117?\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -3054379881170.\nAnswer: -3054379881170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-240)\/300)\/(4\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence acaf when four letters picked without replacement from ifpafiiiapiicf.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 34 - 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8290.793 millilitres?\nAnswer: 8.290793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35325*c**4 - 20220005*c**3\/6 + 2686731*c**2\/2 - 268153*c\/2 - 95\/6 = 0. What is c?\nAnswer: -1\/8478, 1\/5, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00206 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 1032*a - 3106*a + 1035*a + 1039*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -112478899 take away -0.115?\nAnswer: -112478898.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g**2 - 4*g - 3. Let p be ((-2)\/(-5))\/((-3)\/15). Let r be z(p). Let n(j) = j + 9. What is the units digit of n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v**(11\/4)\/v)))\/v)\/(v**(-33)*v) assuming v is positive.\nAnswer: v**(131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from lcccclccllll?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o**2 + 22 - 42 + 21.\nAnswer: -4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 58 = -2*o - 4*r, 3*o - 5*r - 85 = 0. Let k be o\/(-10)*24\/(-10). Solve -2*b = y - k + 3, -5*y = 2*b + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + 0. Let i = -1.95 + 0.15. Let t = d + i. Which is the closest to 1?  (a) -2\/5  (b) t  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**2 - 3*g**2 + 3*g**2)*(0 + 0 - 2) + 24*g**2 + 7*g**2 - 6*g**2.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -212 - -211.6. Which is the third smallest value?  (a) 1\/2  (b) 1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a**3 - 29851 - 29856 + 59707 + 24*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3137592*y**5 - 4*y**4 + 1232*y**2 + 39061*y wrt y?\nAnswer: -188255520*y**2 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 5, 20 in decreasing order.\nAnswer: 20, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1856, 3744, 5620, 7478, 9312, 11116?\n\"Answer: -b**3 + 1895*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/224 and 5\/100488704.\nAnswer: 703420928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*p**3 - 1119*p**2 - 13*p**3 + 0*p**3 + 6*p**3 + 0*p**3.\nAnswer: -15*p**3 - 1119*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2304*w**6 + 1861*w**5 - 321143*w**2 + 2*w wrt w.\nAnswer: 276480*w**3 + 111660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*c + 65385 + 46618 = 0, 5*i = -2*c + 279979. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1702965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/3 - 2\/6. Suppose -4*q + 2 = -q + 5*n, q = 4*n + 12. What is the least common multiple of q and 52*(h\/(-2) + -3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5*o = -5*c + 1637, -c = -5*o - 333. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -2, 3\/4, -6, -1\/20.\nAnswer: -6, -4, -2, -1\/20, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/(-9))\/((-16)\/(-807)). Let f = 34 - w. Let z = -0.051 - 1.949. Which is the second smallest value?  (a) 3  (b) f  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.151086 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 14. Calculate the remainder when n is divided by 2 + 0 + 9\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*w - 14*w + 16*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -392 + 401. Solve 0 = -2*a + z - c, -a + 10 = -4*a - 2*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/6*(-428)\/(-6). Suppose 5*y + k = 4*y. Does 16 divide 3\/(((-3)\/y)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*(2\/(-4))\/((-24)\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 167 and -109.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 6) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 222085 and 222080 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 4*h - 28, -14 = 4*v - 0*v + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -17*u - 5. Let z be v(-4). Let p be ((-64)\/6)\/((-2)\/(-6)). Let s = 39 + p. What is the greatest common divisor of s and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -3*n**3 + 2*n**2 + 27*n + 166. What is the remainder when b(-5) is divided by 161?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 6:19 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 107545, 431316, 970941, 1726426, 2697777, 3885000, 5288101, 6907086?\n\"Answer: i**3 + 107921*i**2 + i - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(30)\/sqrt(6)*-4).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, 152, 621, 1352, 2345?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 52 in -1\/3, 37, 1.2, 0.1, 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-1159)\/122*21\/(-266)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**5 - 270*d**4 - 1761*d**3 - 1410*d**2 + 7092*d + 9960 = 0.\nAnswer: -83, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkkpkkuuukkkuupkkkfk. Give prob of picking 2 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2024 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3878757688 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4779 + -4784. Sort g, 142, -0.5, -1\/17 in increasing order.\nAnswer: g, -0.5, -1\/17, 142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -8183*w - 912. Let m be z(-4). What is m rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.24 - -18.24. What is the second smallest value in -4, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 PM and 10:28 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 + 3440.56381597602\nAnswer: 3440.06381597602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2361.611 days in weeks?\nAnswer: 337.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5989.962l?\nAnswer: 5989962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.1 + -6. Let j = -0.1 - r. Which is the closest to -2\/7?  (a) 0.4  (b) -1\/4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6461?\nAnswer: 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 207 + 12. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 8*z - 4. Let l = -13 + 6. Determine p(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k**2 + 52292 + 52162 - 104404 - k**2.\nAnswer: -k**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -f**5\/60 + 17*f**3\/3 + 261*f**2. Let i(j) = 7. What is -2*d(b) + 11*i(b)?\nAnswer: 2*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 5:26 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 35*b = -30810. Calculate the remainder when (-3)\/(2\/b*3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 24*s**2 - 27*s - 84. What is k(23)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 27*i - 583. Give n(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, f: 7, v: 1, s: 4, l: 3, n: 1}. Give prob of sequence jnsv.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 10:34 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*h - h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5936627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -277*x**8\/28 + 9*x**4\/2 + x**3\/6 + 4*x**2 + 458*x - 2. Find the third derivative of c(t) wrt t.\nAnswer: -66480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v + 4*h + 52, -109 = 4*v - h - 107 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 10. Let i = -10 - -8. What is the closest to 0 in -2\/7, u, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 496, 2049, 4646, 8293, 12996, 18761, 25594?\nAnswer: 33501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -77*u - 382. Give q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9 - 12) + 1*2. Let v(g) = 1. Let c(w) = 2*w**2 - 1 + 2 - 5. Let m be (-2 + (-4)\/(-3))*9. Determine m*v(j) + n*c(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -13*g. Let i(t) = -t + 1. Let s(k) = 4*k - 3. Let v(h) = 6*i(h) + 2*s(h). What is z(v(m))?\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(325) + 0 + 5)**2 + 5)*-5.\nAnswer: -1655 - 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10252740961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w - 562 + 14566 = 0. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19006 - -7312. List the prime factors of p.\nAnswer: 2, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (0 + -1)) + -16 + 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g + 11. Let b be 1*15*(-18)\/30. Let l be k(b). Let a be l*2*105\/28. What is the highest common divisor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 AM and 3:57 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**5 + 11*i**4 - 3*i**3 - 21*i**2 + 9*i. Let t(z) = z**5 + z**2 - z. Let b(v) = 5*t(v) + w(v). Suppose b(d) = 0. Calculate d.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(-1\/4)*f*f)*f)**37)**(-5\/9) assuming f is positive.\nAnswer: f**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2607 - -0.0393. Let f be 3\/((-99)\/60) + 2. Let b = 0 - 0.4. What is the closest to f in b, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 303981755?\nAnswer: 5, 7, 11, 193, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14 and -245609.9.\nAnswer: -3438538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + 2. Solve 0 = 5*f - 8 - g, -2*m + 2*f = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5673 - 3698. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.7, 1.9287, 0, -3, 2, -0.5 in descending order.\nAnswer: 2, 1.9287, 1.7, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17811*n**3 - n**2 - 7571*n + 6?\nAnswer: 106866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lgld when four letters picked without replacement from {d: 4, l: 4, g: 6}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s - 1. Let y(j) = -6 + 9*j - j - 2*j. What is -4*q(m) + y(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 10:40 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 - 16*a**2 - 79*a + 1290. Let j be i(16). Solve 54 = -j*g - 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1855731.4473 - -2139703.446. Let i = -283941 + z. Let u = 31 - i. Round u to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, w: 1, r: 1}. What is prob of picking 1 x and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 - 3 = -6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 867, 1591, 2103, 2295, 2059?\n\"Answer: -18*o**3 + 2*o**2 + 844*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-5*(sqrt(208) + 1) + (sqrt(208) + 0 + sqrt(208) - sqrt(208))*6 + -6*(0 + (sqrt(208) - (-1 + sqrt(208)))))*5 + 4)**2.\nAnswer: -34560*sqrt(13) + 129856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4 + 24*u**3 + 200*u**2 + 672*u + 720.\nAnswer: (u + 2)*(u + 6)**2*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-131 - -5)\/7)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2371 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5.1 from 21971.\nAnswer: 21976.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/9 and 23\/112968.\nAnswer: 112968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2845746 divided by 6?\nAnswer: -474291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 u, and 1 h when three letters picked without replacement from {u: 2, h: 1, c: 4, e: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4043?\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of 5\/2*y**2 + 6 - 1\/6*y**4 + 0*y + 0*y**3. Let o(j) be the second derivative of v(j). Let z(g) = -2*g**2. Calculate z(o(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46570 by -46570.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -156206 (base 13) to base 3.\nAnswer: -222210202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 272\/748*(-22)\/(-4). Solve 3*f = -2*y + 11, 5*y - w*f - 28 = -10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 6*h + 88, 3691*h + 8 = 3695*h for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 338737 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9\/32 - 1\/32. Which is the closest to -2\/3?  (a) -0.4  (b) w  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 13*b**2 + b + 13. Let s be (26*1)\/(0 + -2). Let c be y(s). Let d be (-4)\/6*(-30)\/4. Solve 4*z + d*x = z, -x = c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3\/4 - 5\/4. What is the second smallest value in -2\/13, v, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7420 and 1094821?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2992*i + 22567 + 163241 = -29616 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/3, 1\/3, 1\/17, -4, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 5*r - 32*r**2 - 23*r**2 - 36*r**2 - 23 - 5*r**3 + 101*r**2. Is s(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 - 3 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 0. Let g(z) = 4*z**3 + 4*z**3 + 5 - 7*z**3 - 3 - 4*z**2 + 2*z. What is g(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 463.205313 to one dp.\nAnswer: 463.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*t + 3*h, 5*t + 2*h + 12 = 30. Suppose -t*k - 2*z = -40, -4*z = 3*k - 21 - 19. Suppose i + 3*i = k. Solve -1 = -i*p + p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, y: 5, n: 9, z: 1, j: 2}. What is prob of sequence zey?\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 138 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 c, and 1 b when three letters picked without replacement from {p: 2, c: 1, b: 2, z: 1, j: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 47.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + m + 30 = 0. Let t = m - -14. Calculate the least common multiple of t and 4\/(-5)*(-25)\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g - 5. Let z be q(-5). What is the closest to -1\/2 in -4, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a9 + cc?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -45*(17\/(-5) + 3). Let c be 3 + -3 + q*1. Let g(l) = -10*l + 9. Let i(f) = f - 1. What is c*i(w) + 2*g(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2580\/(-1806))\/(75\/(-120)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 270 = 5*t - g, 4*t = -2*g + 192. Suppose r = 73 + t. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*y - 9, 3*q - 32 = -4*y. Let -q + 3*z**2 + 4*z**2 - 2*z + z**2 - 6*z**2 = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9391?\nAnswer: 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -32*c - 20. Let k be x(-1). Suppose b + k*b = 39481. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 11*j - 4. Let l be (-17)\/5 - -13*15\/(-325). Let x(o) = -33*o + 11. Determine l*x(v) - 11*w(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 154040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*c**3*f*j**2*m + 46*c**3*f*j + 398*c**3*f - 1134*c**2*f*j + 11*c*f*j**2*m + 47*c*f*j*m wrt c?\nAnswer: 42*f*j**2*m + 276*f*j + 2388*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23864 = -7*r + 26*r. Let m = -635 - r. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3443*u - 5*u**3 - 3443*u.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 46021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 4*c = -20, 6*c = 3*c. Let x be q + 85\/10*38. Let m = -218 + x. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.273839 to 3 dps.\nAnswer: 0.274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -326693815*f**2*j + 303*f**2 + 788688*f with respect to j.\nAnswer: -326693815*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 902968 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1587901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/27174285 and -1\/21135555.\nAnswer: 190219995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 10 - 7*v)*(-1 - 3 + 2).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + 9*n**2 + 25*n - 56. What is z(11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of z**3\/3 + 2*z**2 - 6. Let k(d) = 15*d**2 + 55*d. Let w(b) = -4*k(b) + 55*s(b). Let h(q) = 3*q. Calculate w(h(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -10218581121 and -135.63?\nAnswer: 10218580985.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -1\/4*s**4 + 0*s + 5 + 8\/3*s**3 + 0*s**2. What is the third derivative of f(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 670 divided by 5.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -z**4\/12 + 5*z**3\/3 + 45*z**2\/2 + 3*z. Let x be l(11). Let t = x - -102. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 90 - 49. Suppose k + 2*d = 6*k - n, -k + 2*d = -5. What is the remainder when 16 + (2 - 4) + 2 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + 16*u**2 - 15*u + 16. Give t(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + (-7 - -7 - 4) + (6 - 3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 56 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 10, -252, 5, -29, 8 in descending order.\nAnswer: 10, 8, 5, 1, -29, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**(5\/4)*v**(4\/3) assuming v is positive.\nAnswer: v**(43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 5*w**2 + 14*w - 4. Let l(z) = -2*z**3 - 11*z**2 + 29*z - 9. Give 4*l(x) - 9*t(x).\nAnswer: x**3 + x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -245090863.04 + 245140432.959993. Let v = d + -49570. Let y = -0.08 - v. What is y rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zozeoylyoqezoq. What is prob of sequence zy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - d = -2, -515*d + 513*d = 4*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9434137?\nAnswer: 31, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94\/(-18) - 8\/36*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 842 divide 4443234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*t**3 - 6*t**3 - 13*t**3.\nAnswer: -85*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55 and 8855?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.023 - -0.523. Suppose 0 = 9*a - 4*a. Let r be -9 + -2 + (5 - a). What is the smallest value in -1, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 6)*((1 + 0 + 3)*(-4*w + 2*w - w) - 2*w + 0*w - 4*w + (16 - 16 - 10)*(-2 + 2 + 3*w)) in the form k + t*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -546 = 42*r - 49*r. Let i = r + -116. Sort -5, i, -1 in descending order.\nAnswer: -1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20*31\/124)\/(4*-1)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 8 = -1. Suppose -10 = -n*m + m. Suppose -23 = -m*w - 3. Solve 0*l - w = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 8 + -6 - -3) + -13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3997 + -3982. Solve -3*z = i, -4*z - 7 - 23 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30542*j**3 + 20613*j**2.\nAnswer: -183252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1100, 1195, 1290, 1385?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7143.\nAnswer: 3, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -5 + (-4 - (-8 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -87 divided by 245\nAnswer: -87\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 528 a factor of 31000464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of -27*s**2\/2 + 56*s + 113. Let o be t(2). Solve x = -4*l + 7, -l - 5*x = -o + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 1008.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2193995*b - 1050 = 2193820*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 9:57 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**3 + 0*a**3 + 5*a**3 + 11*a**3 - 17*a**3 - 5*a**3 + (-334 - 149*a + 334)*(a**2 - 3*a**2 + 4*a**2).\nAnswer: -308*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.8 - 6.8. Which is the nearest to -3?  (a) -4  (b) 2\/7  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppypypppppppypd. Give prob of picking 1 d and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 8*o**3 - 36*o**2 - 19*o + 28. List the prime factors of p(10).\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/16132 and -65\/195138.\nAnswer: 42540084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 5. Suppose 2*x = -a*x. Let p be ((-10)\/(-14) - x) + -1. What is the nearest to -1 in p, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j**2 + 66. Let t(z) = -z**2 - 26*z + 37*z + 3*z**2 - 11*z. What is t(w(c))?\nAnswer: 32*c**4 + 1056*c**2 + 8712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1089, 2156, 3213, 4260, 5297?\nAnswer: 6324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11814 and 1196436?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5540.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyrwryrxw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 4*h - 15 = 0, -4*l + 4*h = 3*h - 1. Let f = -4 - l. Let t = 7 + f. What is the remainder when 4 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of -5*c**9\/252 - 7*c**5\/60 - 7*c**2. What is the third derivative of r(i) wrt i?\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 5:06 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 - 204 = -5*a. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -0.2, -2, 14827, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - u - 18, 2 = -4*u + 3*u. Suppose 3*a = -o + 94, 7*o - 426 = 2*o - j*a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 390 divide 1193300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14412829?\nAnswer: 3373, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of 7*z**5\/20 + 11*z**3\/6 + z**2 - 2417*z. Let l(s) = 10*s**3 + 17*s + 3. What is -5*l(r) + 8*w(r)?\nAnswer: 6*r**3 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 20203244 (base 6) to base 3\nAnswer: 1002021100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 263, 528, 793, 1058?\n\"Answer: 265*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1357 - -2?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ur when two letters picked without replacement from rrurrurrr?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*g = 127*g - 333 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 580*v**2 - 2. Let c(g) = 50728*g. Determine d(c(a)).\nAnswer: 1492531390720*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, a: 2}. Give prob of picking 3 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-240))\/(((-6)\/8)\/((-5)\/4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -389, 306, 3137, 9166, 19455, 35066, 57061, 86502?\nAnswer: 124451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*f + 14*f - 8*i - 65 = 29*f - 6*i, -13*i - 39 = -3*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.9 * 2022436.4.\nAnswer: -3842629.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 19. Let g be 70*(6\/60)\/(j\/(-12)). Let c = g + -57. Calculate the remainder when 79 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 210 divide 3812859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00060467 to 5 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25311*y**2 - 9*y + 8*y + 25288*y**2.\nAnswer: -23*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -30281 < -30315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20523 + 25259. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 6:09 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nvvvvxxxnnnvxnn. Give prob of picking 2 v and 2 n.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 + -49 + 29 - 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -339697697261 - 3.\nAnswer: -339697697264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*b + 5*b - 105. Solve -2*u + 3*u - 15 = -4*z, -b*z = 5*u - 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -48 - -62. Suppose s*p + 535 = 19*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w + 20. Let g(o) = -o**2 - 2*o - 2. Let q(n) = 4*n**2 + 7*n + 7. Let u(x) = 7*g(x) + 2*q(x). Determine y(u(s)).\nAnswer: 2*s**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -caa6?\nAnswer: -caa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/6  (b) -0.28266  (c) 3  (d) -1  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((256\/24)\/8)\/((-1)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1532206201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + -0.09. Let o = w + 0.99. Which is the third smallest value?  (a) o  (b) 4\/5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sesxssxxseses. What is prob of picking 1 e and 1 x?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 2*c. Let n be ((-94245)\/9064 - ((-108)\/33 + 3))\/(-3). Factor -9\/2*p**2 + 3\/2*p + c + n*p**3.\nAnswer: 3*p*(3*p - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in -29\/11, 0, -5, 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -915*m**3 - 915*m**3 + 3*m**4 + 1831*m**3 + m - 5 as q*m**4 + t*m + f + d*m**2 + x*m**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 118, -86, 0, -5, -3, -2 in descending order.\nAnswer: 118, 1, 0, -2, -3, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 23491763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 32\/6 + (-9)\/27. What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 226185090?\nAnswer: 2, 3, 5, 823, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1554879 and 309192.\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -441b8a (base 14) to base 13\nAnswer: -62b56c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 11:31 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g - 30 = -22*g. Let b(v) = -8*v + 10. Determine b(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -73.1 + 73.0999982746. What is a rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5335353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0803 + 0.1803. Let q = -0.3 + 0.4. Let r = q + -0.5. Is s at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 + -45. Sort -2, p, 7, 1 in descending order.\nAnswer: 7, 1, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*p**4 - 4*p**4 + 5*p**4 + (-109 + 28*p + 109)*(-p**2 + p**2 + 7*p**3).\nAnswer: 192*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 147033 divided by 9.\nAnswer: 16337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ciynicciinc. What is prob of picking 1 n and 2 i?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*-3*11)\/((-2794)\/1397).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 50 = 5*b, -s = -0*b - 4*b + 30. What is the hundreds digit of s\/(-21)*-6 + -2 + 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 62*g + 720. Let c be p(-10). Suppose -9 = 2*q - 5*q. Solve -22*k + 19*k - q = c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2527.461 to the nearest 10.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = q - 4*y, 3*y = -5*q - 14 + 36 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {y: 5, k: 1, g: 11}.\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/((v*(v**11*v)\/v)\/v))\/v)\/(v*v**(-1\/3)*v)*(v**(-2\/5)*v)\/v*v**(2\/43))**48 assuming v is positive.\nAnswer: v**(-134368\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -51 + ((13 - (7 + 12)) + 2 - (-19 - -5))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1652 divided by -118\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -697, 17147.\nAnswer: -697, -2, 17147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -12*t - 103. Let p be b(-9). Let f = 2.9 + -3. Let a = 12\/23 - -56\/69. What is the closest to 0.1 in f, a, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 49*z**5\/30 + 7*z**4\/2 + 8*z**3\/3 - 5*z**2 - 2. Determine y so that o(y) = 0.\nAnswer: -4\/7, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -712.\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -104 (base 6) to base 15.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -u**5\/30 + u**3\/6 + u**2\/2 + 2. Let i(l) be the second derivative of g(l). Find the first derivative of i(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 1236312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*d - 21*k - 104 = -19*k, -4*d - 269*k + 264*k + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.18, 2, -1, 48 in decreasing order.\nAnswer: 48, 2, 0.18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -305, -302, -297, -290, -281, -270, -257?\n\"Answer: y**2 - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + 0\/(3 - 0). Let i(u) = -u - 59 + 8*u + 63 - u**w. Calculate i(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -28710?\nAnswer: 5742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 52 = l + 61, l = -2*k + 48. Suppose -3*p - p + 12 = 0. Solve -k = -p*j - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/2 - 0\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zgvi when four letters picked without replacement from {y: 1, m: 2, g: 2, z: 1, i: 2, v: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 6 = 2*c, -18*c - 16 = -21*c - 5*z. Solve -2 = -c*l + 3*b, -15*b + 17*b + 8 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3\/2  (b) -3\/5  (c) -6  (d) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from {c: 5, h: 1, p: 1, t: 3, o: 1, g: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6166813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 26, 1, -2\/9, 0.5, 4.671, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1449 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*k + 7*k - 135. Let j(b) = -b**3 - 29*b**2 - 55*b - 27. Let n be j(k). Solve n*t = -5*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/9 and (2\/12)\/(2\/262)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 4*t**3 - 5*t**2 + 2*t + 2. Suppose 4 = -3*q - 5. Let r(o) = 11*o**3 - 14*o**2 + 5*o + 6. Let y(f) = q*r(f) + 8*m(f). Factor y(u).\nAnswer: -(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.136307311 rounded to two decimal places?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 139315.6 to the nearest 1000.\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -30923, -123849, -278725, -495551, -774327, -1115053?\n\"Answer: -30975*s**2 - s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 1154?\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(28)*1 + (sqrt(63) - sqrt(63)*1)\/sqrt(9) + 1)**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 8:43 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1001 + 8180 - 803 + 5316)*(2*y - 2*y + y + (-2 + 0 + 4)*(2*y - 3*y + 3*y)).\nAnswer: 68470*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5\/6)\/(g**(-9)\/g))\/((g**3\/g)\/g)**35 assuming g is positive.\nAnswer: g**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.58 + 0.6. Let b = o - -0.98. Let a = -4 + b. What is the second biggest value in -3\/2, a, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 4*y - 6*y + y**3 + 0*y**3. Let v(n) be the third derivative of -n**6\/30 + 3*n**4\/8 - 2*n**2. Determine 9*d(b) + 2*v(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1181836, -1181841, -1181846, -1181851?\nAnswer: -1181856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 181*d**2 + d. Let s(r) = 8*r**2. Give i(s(p)).\nAnswer: 11584*p**4 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 16741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (96*q - 96*q - 13*q**2)*(-3*q**2 + q**2 - 2*q**2) to v*q**3 + x*q**2 + z + w*q**4 + s*q and give w.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + t + 12. Let d be (-3)\/(1*(-3)\/7). Let b(n) = -8*n + 3*n - 6 + 5*n**2 + d + 4 - n**3. What is b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of 5 + 17 - 2*h**4 + 4 - 11*h. What is the derivative of o(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 9:52 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-496)\/16 - (-18832)\/642\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y + 14*y - 19*y + 12*y - 6*y - 4639 to the form g + s*y and give g.\nAnswer: -4639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-17 + 6 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0006137 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/4 - 5\/(-10). Suppose 6 = -k*d, -4*r + 233 = -d + 83. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -4*x - 55. Suppose 3*c + 4 = 58. Calculate the lowest common multiple of c and b(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2122561\/9 or -235839?\nAnswer: -235839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.003 - 0.097. Suppose -32 = -j + 4*z, 2*j = 5*z + 16 + 45. Suppose -3*n + 5*p = -j, -2*n - 17 = -4*n + 3*p. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 11*v**3 - 3*v**2 - v + 2. Let q(f) = 34*f**3 - 10*f**2 - 3*f + 7. Let x(u) = -7*n(u) + 2*q(u). Let l = 3 - 4. Is x(l) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8426516cm in millimeters?\nAnswer: 8.426516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1714458589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2962263?\nAnswer: 3, 29, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (864 - 327 - 236)*((2*b - b + b)*(4 + 0 - 2) + 2 - 2 - b).\nAnswer: 903*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*o - 290*o + 9305 - 9305.\nAnswer: -231*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*g**4 - 6777*g**3 - 409752*g**2 + 61992033*g - 46260684 = 0 for g.\nAnswer: -116, 3\/4, 73, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 7:47 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 988504 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4 - 9) + 2 - -1. Let j be -2 - 1*(c - 3). Solve -18*d**4 + 5*d**2 + 2*d**2 + 4*d**2 - 15*d**j - 5*d**2 + 27*d**5 = 0.\nAnswer: -2\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.762, -0.5, 2\/9 in descending order.\nAnswer: 0.762, 2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 43 - 2138?\nAnswer: -20c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25193\/5 + -5041. Put h, -2, 3\/19, -0.5 in descending order.\nAnswer: 3\/19, -0.5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 rounded to zero dps?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 less than 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -32 - -18 - (-2 + -20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**5 - 9*p**5 - p**5 + (-6*p + 0*p + 5*p)*(-6*p**4 - p**4 + 3*p**4) - p**2 - 3*p**5 + p**2.\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7323*n - 108 = 7296*n. Solve 43*x - 45*x = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -w**4\/24 + 11*w**3\/6 + w**2. Let s(b) = -2*b + 2. Let l be s(1). Is 11 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*r - 44*r - 53*r + 11*r + 19*r.\nAnswer: -107*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 0*y - 4*y)*(11 + 15 + 4 + 8).\nAnswer: -152*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -51874.102 rounded to the nearest one hundred?\nAnswer: -51900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z**5 + 186*z**4 - 540*z**3 + 534*z**2 - 177*z = 0 for z.\nAnswer: 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8919785 and 37975?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*i + 1165 = 3369. Calculate the least common multiple of i and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -5*a**4 + 17*a + 5. What is the derivative of c(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3283.03 + 3301. Let x = -0.03 - c. Let h = -18.1 - x. What is the smallest value in -0.2, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -7. Suppose 2*p - 3 = -1. Let c = o + p. What is the highest common factor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 + p**2 - p + 2. Let o be v(0). Suppose o*d - 3*d + a - 3 = 0, 0 = -3*d - 5*a - 25. Let i(t) = -t**2 - 4*t - 2. Calculate i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*b**3 + 16*b**3 + 8*b**3 - 66*b**3.\nAnswer: -106*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*((-15)\/(-6))\/(-1). Let s(x) = x**3 + 5*x**2 - 2*x - 1. What is the smallest common multiple of s(m) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1278847699.\nAnswer: 1278847699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-3))\/(6\/9*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -0.5, 0.3, -1\/5, 2, -2211322?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 a, and 1 v when three letters picked without replacement from {j: 2, m: 4, a: 5, b: 1, v: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 12*d**4 - 2*d**2 - 10*d - 2. Let y(m) = m**4 - m**2 + m - 1. Let x(t) = o(t) - 2*y(t). What is the second derivative of x(z) wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 686, 676, 666, 656, 646, 636?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(7) - (sqrt(77)\/(sqrt(11) - sqrt(176)) - sqrt(7))) + 4*((sqrt(7)*2 - sqrt(7)) + sqrt(7) + -3) - (0 + 0 + sqrt(343))*-1*-3.\nAnswer: -46*sqrt(7)\/3 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 63*o - 70*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3239704298 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 194, 185, 164, 125, 62, -31?\n\"Answer: -o**3 - 2*o + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -76  (c) -0.5  (d) 5  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2b63 (base 12) to base 3\nAnswer: 21000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3109.579ug?\nAnswer: 3.109579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 0) + 28 + -30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4520328660.\nAnswer: 2, 3, 5, 53, 59, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/9)\/(8\/6). Let i = 0.04 - 0.34. Which is the closest to 1\/6?  (a) i  (b) 1\/8  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3281.01 + -347.81. Round a to the nearest ten.\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 + 35. Let p be 2*(-4)\/h*(-1 + -1). List the prime factors of 105 + 4 + p + -4.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 3*n**2 - 11. Let s be y(4). Suppose 2*v + 2*p = 276, 0 = -v - 2*v - s*p + 412. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 e when three letters picked without replacement from yeey?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 48 and -0.0582.\nAnswer: 47.9418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 53*p - 4 + 709*p - 181*p - 162*p.\nAnswer: 313*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(-2\/7))\/f*f)**10*(f\/(f\/(f\/f**(-2\/11))))\/f*f**(1\/3)*f)\/((f*f*f\/f**(-1\/4))**(-42))**(-20) assuming f is positive.\nAnswer: f**(-628630\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20011 = -27*r - 6457. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*y = -148*y + 5 - 54 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85 + -19. Let p = d + -36. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/35 - (-68)\/(-7). Let t be (j\/20)\/((-2)\/5). Sort 3, t, 1\/5, 2\/9 in ascending order.\nAnswer: 1\/5, 2\/9, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5504 - -30138\/5. Let a = -522 + m. Solve -2\/5*p**4 + 4\/5*p**2 + 4\/5*p - a*p**3 + 4\/5*p**5 - 2\/5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44164 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 hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 11:29 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 234517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 3*k, 0 = -g - 3*g + 6*g. Let z(b) be the third derivative of 1\/6*b**3 - 23\/24*b**4 + 0 + k*b + 24*b**2. Differentiate z(f) wrt f.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-139\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 570 + -11972\/21. What is the common denominator of -23\/15 and h?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + p - 5)*(-2 + 3 + 0 - 3*p**2) - 63*p**3 - 7*p**3 - 17*p**3.\nAnswer: -90*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1064585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 115800 and 11773.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 4 = f, -4*f + 2*a - 22 = -6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 395782?\nAnswer: 2, 197891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -613*p + 198067. Determine x(323).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5 + (3 + 4*sqrt(448) + sqrt(448) - -1*(-1 + sqrt(448))))**2.\nAnswer: -288*sqrt(7) + 16135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -179653.75951 + -142\nAnswer: -179795.75951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 9*o**2 - 8. Let u(s) = 3*s**2 - 3. Let k(d) = -3*h(d) + 8*u(d). Let z(x) = -2*x. What is z(k(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/9152304 and -127\/12.\nAnswer: 9152304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 9 = 2*r - 3*f, -14 = 2*r - 2*f. Let a be 8*(1 - (r + 1)). Suppose 3*g = 5*g - a. Solve 2*z + 1 = -m - 2*m, -z - g = -m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -3. Suppose v*g - 36 = -6. Suppose g*m = 2*k - 1678, -2*m = -3*k - 3*m + 2517. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*j - 27*j - 20*j)*(7*j**4 - 4*j**4 + 4*j**4) + 3*j**5 - j**5 + 0*j**5 + (0*j**2 - 2*j**2 + 3*j**2)*(j**3 + 2*j - 2*j) - 9 + 9 - 5*j**5.\nAnswer: -37*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -z**5\/30 - 8*z**4\/3 - 31*z**3\/3 + 2*z**2 - 12. Find the first derivative of j(o) wrt o.\nAnswer: -4*o - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39 - 4*d**2 + d**2 + 0*d**2 + 2*d**2 as x*d**2 + c*d + w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/389228 and 121\/18?\nAnswer: 3503052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 467406217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -766804.18 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 6:46 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, k: 2, j: 2, f: 2}. What is prob of sequence fksk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t**2 + 4*t. Suppose -3*n - 12 = 4*d, n = d + 6 - 3. Let w be j(d). Calculate the remainder when 13 is divided by 4\/w + 38\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/4)\/((n**(-43)\/n)\/n))\/((n\/((((n\/n**14)\/n)\/n)\/n))\/(n*n\/(n**(-4)*n)*n)) assuming n is positive.\nAnswer: n**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -214273*r**2 - 191294.\nAnswer: -428546*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h - 5. Let t be z(-5). Suppose 6*d - 3*d - t*n = 150, 5*d - 2*n = 269. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 651 = 94*t - t. Solve 2*i - t = w, -6*i + i + 4*w = -13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 690\/70*(-2702)\/1158.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-60)\/27*-12 - (-35)\/15 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n**3 + 0*n**3 + n**3 + (-2*n - 9*n + 4*n)*(324*n**2 + 2729564 - 2729564) to m*n + w*n**3 + t*n**2 + l and give w.\nAnswer: -2271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -1\/2, 12\/23, 0.3, -1 in ascending order.\nAnswer: -1, -1\/2, 0.2, 0.3, 12\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -24*d - 6*d. Put 3, d, 15, 23 in decreasing order.\nAnswer: 23, 15, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from nngsnllllnnlgnlgn?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/56502 and 35\/876?\nAnswer: 113004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 10 = -6*s, 4*f - 28*s + 5 = -29*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of 0*v**2 - 1\/30*v**6 - 19\/20*v**5 + 1\/2*v**3 - 49*v + 0 + 0*v**4. What is the second derivative of y(j) wrt j?\nAnswer: -12*j**2 - 114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.363 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**2. Let d(w) = -670704915*w**2. Give s(d(c)).\nAnswer: -899690166010314450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 78 = -q - 4*q, -4*q = u - 63. Let o = -9 + q. Let y(z) = 7*z**2 + z - o + 47*z**3 + 3*z - 46*z**3. What is y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27200 divided by -39.\nAnswer: 27200\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 375 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2*r = -5*q + 465, -q - 1347 = -3*r. Let t = -79 + r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + k)*(-10115 + 194*k + 10115).\nAnswer: 194*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63107 is divided by 637?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/38*(21\/(-49))\/(45\/(-840)*-16).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) -0.17  (c) 0.26  (d) -0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - w + 44. Calculate the least common multiple of w and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 2) + 23 + (19 - 29)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7840\/(-4704)*(-54)\/25. Factor h*f + 0 + 2\/5*f**4 + 22\/5*f**3 + 38\/5*f**2.\nAnswer: 2*f*(f + 1)**2*(f + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -5.4. Let g = a + -0.6. What is the nearest to g in -6, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of 6*y**3 + 11 - 27\/2*y**2 + 0*y - 3\/4*y**4. Let a(b) = 0. Calculate b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10708 - -12577. What is the greatest common divisor of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of 19*r**2 + 0 + 0*r + 4\/3*r**3 + 5\/24*r**4 + 2\/15*r**5. Let q(s) = -7*s**2 - 4*s - 7. Give -6*q(d) - 5*x(d).\nAnswer: 2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6068?\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of 4 + 1\/2*s**2 + 0*s. Let i(v) = 5*v - 3. Let x(o) = -1. Let y(l) = -i(l) + 3*x(l). What is y(k(m))?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u. Suppose 0 = -4*h - 0*h + 4. Let x(y) = -5 + 1 - h + 2*y + 3 - y**2. Calculate -x(j) - 2*z(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3271 <= -7\/3452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001694433 to 7 dps.\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1617 by -49.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 205*d**2 - 3*d + 2. Suppose 4*z - 96 = -92. Is 51 a factor of i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3a9c + 375?\nAnswer: -3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5711, -13191, 0.8?\nAnswer: 5711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -3. Let n(v) be the first derivative of 1\/2*v**2 + 3 + x*v. Calculate n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + -475976548.\nAnswer: -475976566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-15))\/(6\/45)*182\/78\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kfbs when four letters picked without replacement from hsdhhhhskdssbdsfsbb.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-13606664.\nAnswer: 13606664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 167  (b) 4  (c) -0.2  (d) -659\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/3)*w**(-7\/2))\/(w**5\/(w*w**(-4))) assuming w is positive.\nAnswer: w**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3837, -6\/37, 0.4, -5.\nAnswer: -3837, -5, -6\/37, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*i + 2*i**4 - 35*i + 3*i**4)*(3*i + 1 - 1).\nAnswer: 15*i**5 - 192*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 85832 (base 15) to base 6\nAnswer: 13025402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**2\/5 - 687352*k\/5 - 59056596488\/5 = 0.\nAnswer: -171838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -26*y**3 - 4*y**2 - 15*y - 5. Let d(w) = -105*w**3 - 15*w**2 - 63*w - 21. Determine 5*d(h) - 21*p(h).\nAnswer: 21*h**3 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27.78 + -28. Let r = u + 0.2199915. Round r to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3116\/3 + 1055. What is the common denominator of x and 8 - (-1118)\/(-117) - 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -3. Suppose 0 = 3*o - f*h - 178, 4*o - 7*h + 3*h = 236. What are the prime factors of 40\/6*144\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -p**5\/110 + 5*p**4\/66 - 2*p**3\/33 - 8*p**2\/11 + 2417*p. Find n such that a(n) = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 786448459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 819 and 728?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**3 + 15*y - 27*y**2 + 1 + 27*y**2 + 0*y**3 as j*y + x*y**3 + i*y**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**3\/3 - 2538220*t**2 + 96452721*t - 2748905978\/3 = 0 for t.\nAnswer: -7614698, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t**3 + 3*t**2 - 3*t**2)*(2*t - 5*t + t) + 14*t**2 - 2*t**4 - 14*t**2 in the form n + p*t**4 + y*t**3 + l*t + r*t**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/11 and -31\/814?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -5*q - 6. Let t(c) = c + 1. Let x(d) = -d**3 - 6*d**2 + 4*d + 25. Let m be x(-6). Let r(f) = m*v(f) + 6*t(f). Let w(b) = -232*b**2. Give w(r(p)).\nAnswer: -232*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*d + 3705117 - 3705603 = 0 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/6)\/((-1)\/(-15)). Let g = 2 - t. Calculate the remainder when 13 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*n - 16 = 7*p - 10*n, 3*p = 3*n + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3723*j + 32*j**4 + 75 - 3723*j wrt j.\nAnswer: 128*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 394177004?\nAnswer: 2, 13, 643, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**3 - 2*p**2 - 2*p + 19. Let u(a) = -6*a**3 + 7*a**2 + 7*a - 57. Give 7*f(m) + 2*u(m).\nAnswer: 2*m**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/5609?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(8\/5)\/((a\/(a*a\/(a\/a**(-1\/27)))*a)\/a))\/(a**3\/a*a**5\/a) assuming a is positive.\nAnswer: a**(-599\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i - 45 - 58*i**2 + 2*i - 2*i**4 - i**4 + 59*i**2 - 2*i**3 to the form a*i**2 + y*i + m + q*i**3 + r*i**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (221\/(-39))\/((-43)\/(-258)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 173*j**3*q**3 + 2*j**2*q**3 - 6*j**2 - 1182*j*q + q**3 wrt j.\nAnswer: 1038*j*q**3 + 4*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -685, -0.11, 3\/8, 3\/2, -1\/4 in descending order.\nAnswer: 3\/2, 3\/8, -0.11, -1\/4, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 8.02. Sort m, 3, 0 in descending order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -412 minus 26?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s and 1 e when four letters picked without replacement from {e: 1, u: 6, s: 11}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 714353 (base 8) in base 14?\nAnswer: 61cb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2693626 and 491?\nAnswer: 2693626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -294297\/1015 - -2032\/7. What is the common denominator of t and 93\/58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 27727308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 261341\/11?\nAnswer: 261341\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -128.5067204 + 128.51. What is f rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 10*b**2 - 28*b - 26. Let y be t(-12). Suppose y*l - 24*l + 116 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -54, -1481, -18, -3?\nAnswer: -1481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -q**2\/2 + 2. Let n(p) = -p + 5*p**2 + 0*p + p. Calculate n(a(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.091 + -0.3097444.\nAnswer: -0.4007444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 967595 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*q**5 - 1888*q**4 - 4452*q**3 - 3604*q**2 - 1084*q - 108 = 0. Calculate q.\nAnswer: -27, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 35 = -u - 6*z, -5*z = 5*u - 235. Let o = u - -99. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express t**2 - t**4 + 19*t - 38*t + 2 + 19*t + 2*t**2 - t**3 as j + r*t**4 + v*t**2 + h*t + x*t**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -5  (c) -3\/4  (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20.61 + -0.39. Which is greater: -2\/5 or z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11.05 - 0.25. Let n = 11 - o. Which is the smallest value?  (a) 5  (b) 0.4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -1. Let i = -474\/187 - -40\/17. Let f = -1 - -0.9. What is the closest to f in i, m, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 + 2*x**2 + 0*x**2 + 3*x**2 - 2*x**2 + x**2 - 114*x**2 - 112*x**2 + 192*x**2 + (0*x + 4*x - 2*x)*(-3 + 3 + 3*x).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 223, 209, 201, 223, 299, 453, 709, 1091?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 25 - 46*u - u**2 + 158*u - 27 to the form h*u**2 + g + y*u and give y.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 8*k + 7. Let c be a(-7). Suppose o = -5*z + 15, 4*o - 60 = -2*z + z. Let g = o + c. What is the remainder when 28 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/12)\/(((-36675)\/(-7020))\/163)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61 + 66. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 3*i**2 - 10*i + 15. Let p = -22 + 27. Let x be w(p). Let a = -2385 - x. Round a to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3141348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n**2 + n + 1. Suppose -19 = 3*m - 4*y, 2*m = 2*y + y - 14. Let j be c(m). List the prime factors of 2\/j + 5\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 13248374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 49, -1\/19, 1\/4, 0.11, -3\/2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of x**2\/2 + 4. Calculate k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 901619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**1)\/(h**(-4)\/h*h))**(-18)*((h*h\/(h*h**(2\/5))*h)\/h)**(-2\/59)*(((h*h**(2\/5))\/h)\/h)**(-15) assuming h is positive.\nAnswer: h**(-18591\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 7. Let n(r) = 7*r - 1 + 0*r + 3. Let t be n(4). What is the greatest common factor of t and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41\/19 - 1327\/342. Calculate the common denominator of (-139)\/18 - 4\/(-2) and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -78*(-3 + (-11)\/(-3)). Let h = 92 + x. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {f: 1, g: 3, e: 2, a: 1, o: 1, k: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.5 or 1.678?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -121\/164 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*n + 15*n + 34*n + 3*n**3 - 20*n.\nAnswer: 3*n**3 + 47*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -235 - -240. Solve c = 11*t - 6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7747, -7731, -7713, -7693, -7671, -7647?\n\"Answer: d**2 + 13*d - 7761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*f*h**2*o**2 + 2*f*h*o**2*u + 5*f*o**2*u - f*o*u**3 + f*o*u**2 - 6*f*o*u - 35*h**2*o*u**3 wrt h?\nAnswer: 8*f*o**2 - 70*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1\/328 - -61\/164. Which is the closest to 4?  (a) 0.2  (b) u  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q + 0*q - 3*q. Let x(r) = 63*r**2 - 42*r + 2. Let j(p) = 837*p**2 - 567*p + 27. Let c(n) = 2*j(n) - 27*x(n). Calculate c(f(z)).\nAnswer: -432*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {n: 1, g: 1, p: 4, o: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 908 - 60882594\nAnswer: -60881686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 11:04 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/sqrt(3))\/sqrt(3) - (1 + (sqrt(19) + 3*sqrt(19))**2).\nAnswer: -305 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151575?\nAnswer: 3, 5, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27.8 - 26. Let w = -1.62 - -0.32. Let b = w + i. What is the biggest value in -3\/7, b, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 128*k*w**2 + k*w + k - 13*w**3 + 2269*w**2 - 8*w + 1334 wrt w?\nAnswer: 256*k - 78*w + 4538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-3))\/(2971 + -2964)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-1\/3))\/t)**(-6\/13)\/(t**(1\/4))**(-43)*(t\/(t*(t\/(t\/t**1))\/t))**(-35)*((t\/(t\/t**(1\/3)*t)*t)\/t)**(-2\/43) assuming t is positive.\nAnswer: t**(73351\/6708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*i**3\/7 - 72720*i**2\/7 - 96924*i\/7 - 32304\/7 = 0 for i.\nAnswer: -2692, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000111000100011 (base 2) in base 16?\nAnswer: 8e23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 192 - 95 - 1181*w + 5*w**3 - 2*w**2 - 4*w**3 - 93 + 1179*w. Let a = -28 + 40. Suppose 3*q - a = -q. What is z(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3 + sqrt(252)\/sqrt(4))**2.\nAnswer: -18*sqrt(7) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 4*k - 4, 2*x + k + 8 = 5*x. Suppose -2*i = -8 - 88. Calculate the lowest common multiple of i and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 16*n**2 - 31*n + 204. Let k be s(14). Suppose 0 = 3*a - 5 - 13. What is the greatest common divisor of a and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2028\/(-91))\/(1\/(-7)). Let k be ((-1)\/4)\/((-3)\/h). Solve -k = -4*o - r, o + r = -r + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4966*y - 114081. What is b(-23)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 371*p**2 + 8343*p - 8342. Determine o(1).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00017122 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**2 - 4*v. Let f(l) = 5*l**2 + 11*l. Let o(y) = -y + 1. Let r be o(5). Let h = -53 + 42. Determine h*j(d) + r*f(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(1377) + -3 + sqrt(1377) + 1)*-1 - (1 + -1 + sqrt(1377) + 1 + -2))**2.\nAnswer: -1458*sqrt(17) + 111618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*h**4 - 11*h**3 - 13*h**2 - 4 wrt h?\nAnswer: 432*h - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(17) + sqrt(17) + -1 + 4 - sqrt(187)\/(sqrt(11)*-3))**2.\nAnswer: 20*sqrt(17) + 1781\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138 = -0*y - 3*y. Let u = 94 - y. Let d be u*-8*(-3000)\/(-16). Round d to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -2*o**5 - 350*o**4 - 1032*o**3 + 8*o**2 + 1376*o = 0?\nAnswer: -172, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 266 = 991. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 12. Let w(v) = -v**3 + v**2 + 6*v + 1. Let a be w(o). Solve -2*q + 7 + a = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 157558.279 less than -3439865?\nAnswer: -3597423.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 2*z + z - 90, 175 = -5*k - 5*z. Let a = 288 + k. Suppose -a = -2*f - 3*o - 49, 4*f - 386 = o. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/(-45))\/(25\/45) - ((-12)\/4 - -4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -51*q*z**2 + 7229*q*z - 9*q + 310585927*z**2 wrt q?\nAnswer: -51*z**2 + 7229*z - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 145950111 a multiple of 1489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -4, 3\/2, 21?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -40000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3 - 6 - 14*k - k**2 + 22*k. Let l be o(6). Which is the second biggest value?  (a) l  (b) -0.2  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = -8*q + 9*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182414 is divided by 60761.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/81, 2, -0.321, 1.6, -4, -3?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/71, -1\/2, 4 in increasing order.\nAnswer: -1\/2, 2\/71, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {j: 1, d: 1, u: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 1110 = 4*x - 4755, -2*x - 2*n + 1824 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-seven halves of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360 = -46*v - 314. Sort -4, -8, 5, v in decreasing order.\nAnswer: 5, v, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3160\/9875)\/((-4)\/(-10))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 5*x - 15 = 0, -5*i - 15*x + 15 = -14*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b (base 16) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**5 + 127*m**4\/5 - 487*m**3\/5 - 2719*m**2\/5 + 7692*m\/5 + 5472\/5 = 0.\nAnswer: -4, -3\/5, 3, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -3*x**5\/20 + 3*x**4\/4 - 3*x**3\/2 + 3*x**2\/2 + 3*x. What is f in p(f) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p - 12. Let j(o) = o**2 + 6*o + 4. Let q be j(-3). Let b(s) = -3*s - 14. Let c(t) = q*b(t) + 6*y(t). What is c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/63*-3)\/1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - o + 8. Suppose 708 = 4*m + 5*a, o*m - 736 = -3*a + 5*a. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1502 is divided by 80?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 4*j + 10 = 0, -5 = 3*y + 4*j - 11. What is the second derivative of 1 - 3*s**y - 1 + 0 + s wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 50*d**4 - 27*d**4 - 21*d**4 + 5*d**4 - 3*d**4 - 4*d**4 + (2*d**4 + d**4 - d**4)*(2 - 1 - 2) in the form o*d**2 + t*d**3 + c*d**4 + a + n*d and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of s**4 + 4124*s + 4147806 wrt s.\nAnswer: 4*s**3 + 4124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57\/4*k**4 + 3\/2*k**2 + 0*k - 45\/4*k**3 + 0 - 9\/2*k**5 = 0. What is k?\nAnswer: 0, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-3 - -2 - 1). Let o be (q - 1)*(3 + -4). Let p be (0 - o) + (35 - 1). Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -180*b**4 - 1325*b**3 + 4540*b**2 - 2185*b - 850 = 0?\nAnswer: -10, -1\/4, 1, 17\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -178 or -176?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 20, 75, 168, 299, 468, 675, 920?\n\"Answer: 19*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 215, 461, 759, 1133, 1607, 2205, 2951?\n\"Answer: 4*d**3 + 2*d**2 + 212*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8799 is divided by 2199.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8057 in 3, -0.3, 2\/5, -6, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-14) + 37\/(-7). Let s(m) = 4*m + 4. Let d(c) = 7*c + 8. Let a(x) = i*s(x) + 3*d(x). Let o be 18\/45 - (-3 + 259\/35). What is a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 9:52 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29.02 - 0.02. Let x = -254 - -286. Let h = x - v. Which is the closest to 0.1?  (a) h  (b) 0.2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in 3, 3\/3743, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, l: 5}. Give prob of sequence lll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119675 is divided by 7479.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -4*u - 5. Let x(z) = -2*z - 3. Let y(g) = -3*b(g) + 5*x(g). Let v(t) = -41*t. Give v(y(d)).\nAnswer: -82*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 8:56 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -661*h. Let w(c) = 3*c. Calculate t(w(q)).\nAnswer: -1983*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + t + 5*a + 21 = 0, -4*t - 4*a + 48 = 0. Is 3 a factor of (t\/(-2))\/((-12)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37373 - -8072549\/216. Let r = f + -1265\/216. Calculate the common denominator of r and 2\/(-20)*(-94)\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 989586 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48, -47, -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13010513 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.16+-94915\nAnswer: -94915.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 84, 90, 92, 90?\n\"Answer: -2*r**2 + 12*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 71119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-51)\/3910)\/((-318)\/(-1060)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112069*m + 224268*m - 112181*m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.32 * -111.311.\nAnswer: 1037.41852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18292 is divided by 220.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15636 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 5*f = 81 - 86, 5*v - 7*f = 29 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.22?  (a) 11  (b) 0.2  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 12:53 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - m. Suppose 3*q - 4 = q. Let k(r) = -10*r**2 + 11*r. Let s(n) = q*k(n) + 22*p(n). Let x(c) = -c + 768 - 768. Give s(x(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 6, e: 2, y: 1, o: 1, j: 7}. Give prob of picking 1 j and 1 u.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qlqzeye. Give prob of sequence qqz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 20472?\nAnswer: 10236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z**5\/7 + 916*z**4\/7 - 12660*z**3\/7 - 15916*z**2\/7 + 85492*z\/7 - 20184\/7 = 0. Calculate z.\nAnswer: -3, 1\/4, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -15*c - 3*c + 5*c. Let p(g) = 7*g. Let j(y) = y**2 + 6*y - 6. Let d be j(-6). Calculate d*f(v) - 11*p(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*i - 5. Let y(b) = -b - i*b - b - 5*b. Let q(a) = -a**2 + 3*a. Let m(c) = -2*c. Let d(v) = -6*m(v) - 4*q(v). Give d(y(n)).\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 27 = -w, 4*l - 5*w = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21315\/8 + -2659. Calculate the common denominator of -59\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 765659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence stt when three letters picked without replacement from {v: 4, t: 7, s: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 56 + -7?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5074565 * -3.\nAnswer: 15223695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 383 + 439 = 0. Suppose 8*o + l = 6*o, -3863 = -5*k + 2*o. What are the prime factors of k?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6474976334*k**2 + 2*k**3 + 6474976334*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) -6  (c) -4  (d) 0.04  (e) 354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -11*v**3 + 5202*v**2 - 4740*v + 9455. What is h(472)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 + 114.\nAnswer: 113.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**3 + v**3 - 2*v**3)*(-v + 4 - 4) + (11 - 7*v**4 - 11)*(13 - 34 - 40 + 11).\nAnswer: 352*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 147\/2, -0.1, -5?\nAnswer: 147\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3311*n**3 - 2506*n**3 - 2389*n**3 + 2070*n**3.\nAnswer: -6136*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/7  (b) -3\/16  (c) 0.3  (d) -0.4  (e) -0.16  (f) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 - 3*x**2 - 12*x + 10. Let f be j(8). Suppose -2*w - 111 = -p, -5*w - f - 97 = -3*p. Let c = p + -26. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -225, -650, -1797, -4026, -7697, -13170, -20805?\n\"Answer: -60*o**3 - o**2 - 2*o - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 339.5799um in kilometers?\nAnswer: 0.0000003395799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5748094 + 5748067.03953. Let c = 23.3529 + q. Let z = -3.61 - c. What is z rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of i**6\/2 - 2*i**5 + 3*i**4 - 2*i**3 + i**2\/2 - 304. Factor g(j).\nAnswer: j*(j - 1)**3*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.1, -19, -8\/3, 5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -29692, -59485, -89290, -119107, -148936?\n\"Answer: -6*j**2 - 29775*j + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -135, -110, 2221, -3, -4 in decreasing order.\nAnswer: 2221, -3, -4, -110, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (20 + -3)\/((-2)\/(-2)). Let b = s + -22. What is the least common multiple of (94\/(-18) - b)\/(2\/(-18)) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 194949 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*w**3 - 15*w**3 - 4*w**3 + 15*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 = 14*a, 27*h + a - 1 + 8 = -0*a + 3*a + 17 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 + 17940*f + 17941.\nAnswer: -(f - 17941)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 8*y - 7. Let o be n(-9). Let s(l) = 0*l**3 + o - 4*l**2 + l**3 + 4*l**2 - l**2 + 5*l. Is s(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34 + -20. Let v be 9\/(-21) - (-62)\/g. Solve -5*b - 7 = s, -4*b + v*s = -s - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 204 + 900 + 190 + 2127 + 1954*v**3 with respect to v.\nAnswer: 5862*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -848 and -846 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 48 + -48. Solve 0*l + 2*l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 7*f**2 - 12*f + 238. Suppose 26*z - 22*z - 92 = 0. Is a(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202211222022 (base 3) to base 13.\nAnswer: -114a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 10*v**2 + 9*v - 1. Let n(u) = u**3 - 3*u**2 - 7*u - 6. Let m = -46 - -51. Let h be n(m). What is i(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47 + 76 + -36 - -41\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -s + 0 + 0*s**4 - 14\/3*s**3 + 19\/20*s**5 + 0*s**2. Find the second derivative of a(q) wrt q.\nAnswer: 114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-1 - 1) - (3 + -7 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -4)\/((0 - 40) + 3029070\/75624).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 + 15800*j + 31205000.\nAnswer: 2*(j + 3950)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - 2*r**4 - r)*(-2 + 1 - 1) + 2*r + 0*r**4 + r**4 - 4*r + r**4 + r**4 + 7*r**4.\nAnswer: 14*r**4 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46198 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.8 - 0.4. Let c = -0.17 + -0.13. What is the smallest value in c, m, -2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (145\/(-10))\/((-12)\/408). Calculate the greatest common divisor of 58 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64)\/(-2) - (-1931610)\/(-65100) - 36\/15.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5.61  (b) -177  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*k**4*s - 14*k**4 - 2*k**2*s - 1490*k**2 + k*s wrt k.\nAnswer: 624*k*s - 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (-3576)\/300)\/(1\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -13 times 308.68\nAnswer: -4012.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -364 - -370. Let u(b) be the third derivative of -7*b**2 - 1\/70*b**7 - 1\/336*b**8 + 0*b + 1\/30*b**5 + 1\/6*b**3 + 0 + 1\/8*b**4 - 1\/60*b**w. Factor u(y).\nAnswer: -(y - 1)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 12 - 60. Let h be (15 - -12)\/(3\/10). What is the highest common divisor of b and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/45)\/((-22)\/33)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 5904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 + 97. Calculate the greatest common factor of 84 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 451170 and 16710?\nAnswer: 451170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1872\/(-416)*2\/6*48\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, -2, -423.\nAnswer: -423, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**(2\/11)*f)*f*f**(-2\/17))\/(((f**(-9)\/f)\/f)\/(f\/((f*f**(-9)*f)\/f)*f)) assuming f is positive.\nAnswer: f**(3939\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6748?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0346194 rounded to 3 dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 4938981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i + 32. Let w be f(-13). Let o be 45230*(-4)\/(-24) + (-2)\/w. Suppose o = 3*t + 5*l - 809, -2*l = -t + 2775. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 8:41 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 96*(320\/15)\/64\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.184 + 0.553. Let s = -129 - -128.41. Let d = z + s. Round d to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.054 less than -23.6?\nAnswer: -23.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9947917 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from {p: 2, b: 3, v: 8, u: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -307.71 - -307.41. Let t = -2 + 2.6. Let o = 3.6 - t. What is the nearest to 12 in g, o, 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 115*r**2 - 51*r + 2. Let v = 375 + -380. Let h(q) = -116*q**2 + 50*q - 2. Let a(f) = v*w(f) - 4*h(f). Find the second derivative of a(s) wrt s.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -545*z - 37062. Calculate q(-68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 10 = -y, 4 = -4*y - 2*u - u. Calculate the remainder when 18\/8*(y - -2) is divided by (2\/4)\/((-9)\/(-126)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.2 and 101206?\nAnswer: -222653.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1978872 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236963589?\nAnswer: 3, 61, 83, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70, 68, 64, 58, 50, 40, 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 + 11 = 67*h - 128 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 455 + 93. Suppose -1059 = -j - z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, -4, 0.1, -151079, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00994460801 rounded to six dps?\nAnswer: 0.009945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 331 - 288. Let m = -43.5 + p. Which is the fourth smallest value?  (a) -3  (b) m  (c) 4  (d) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 205813116 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pyhhhggphgohgogx. What is prob of picking 1 y, 1 h, and 1 g?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 - -21. Let f be z + -2 - (-29 - -4). Suppose f = -5*p + 163. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/6  (b) 1  (c) -159  (d) 3  (e) 154\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -13a76 + 458c?\nAnswer: -e4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*a - 48*a + 23*a)*(14 - 4 + 0)*(5*a + 2*a - 3*a).\nAnswer: -280*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 13, -4*r + 44 = -288*v + 280*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -20025, -20024, -20023, -20022, -20021?\n\"Answer: n - 20026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 37888741565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-11 - (-26 + 15 + 11))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**3 - a**3 + a**4)*(-7 + 8 - 6)*(2*a + 0*a + 0*a).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 1, 0 in descending order.\nAnswer: 1, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/26 + 35560\/52. Suppose -g + h = 3*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 262325236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 243 + -254. Let c(l) = 2*l**2 + 18*l - 42. Let k be c(v). Let n(f) = f**3 - 3*f**2 - f - 1. What is n(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5, d: 8}. What is prob of picking 2 d and 1 p?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29\/11, -1\/8, -0.07, 0, 2\/613 in decreasing order.\nAnswer: 29\/11, 2\/613, 0, -0.07, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 13640319.4 to the nearest one thousand.\nAnswer: 13640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124180 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2908554391 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011111 (base 2) to base 11.\nAnswer: -29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1458011204.\nAnswer: 2, 13, 269, 104233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 345 + -282. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*n - 0*n. Suppose n = -6*s - 0*s. Put 11, 3, s in decreasing order.\nAnswer: 11, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(6\/1803))\/((-2)\/20). Round a to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -41, -194, 3, 2 in decreasing order.\nAnswer: 3, 2, -5, -41, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or -108647\/12307?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 6:10 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x + 6. Suppose 0 = -0*o + 2*o + 18. Let l = o + 15. Let z(h) = -2*h + 11. What is l*z(u) - 11*q(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00056689 rounded to five dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ueu when three letters picked without replacement from eoueoooueo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*c - f, 3*c - 3*f - 17 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + d - 453413 = 0, -4*u + 453404 = -2*u - 2*d. Suppose -y + u + 713290 = z, -5*z = 25. Round y to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g + 3*j - 1, -3*j = -231*g + j + 665 - 287 + 566 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/19 + 612*y\/19 - 46818\/19.\nAnswer: -2*(y - 153)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1031221 - 0?\nAnswer: -1031221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q = 4*l - 102, -q - 9*l = -4*l + 16. Which is the third biggest value?  (a) 1  (b) q  (c) -5\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 5, -2830, 4, -1\/41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 2:40 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 55825123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 309874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4752 - -11.\nAnswer: 4763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 times 2.69?\nAnswer: -48.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13707553763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 5 - 1)*(-1 + 4 + 3) - 5 + 3 + 4)*(-5*q**2 - q**4 + 5*q**2).\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mjd when three letters picked without replacement from {d: 7, x: 2, w: 1, j: 1, n: 1, m: 2}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o\/(o*o*o\/((o**(-1\/4)*o)\/o)))\/(((o**(-2)\/o)\/o)\/o))**21*(o**1*o*o*o)**(-8\/11)\/(o\/((o*o**(-5))\/o)*o*o*(o**(-1)*o)\/o*o) assuming o is positive.\nAnswer: o**(3909\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 5*p**2 + 3*p - 4. Is r(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1111220210111 (base 3) to base 6\nAnswer: -25132404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228956699?\nAnswer: 228956699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/5)*s)**(1\/18))**(-33) assuming s is positive.\nAnswer: s**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -4907119\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 55130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*d**2 + 6*d**3 + 18*d**3 - 4*d**4 + 144 - 204*d - 12*d**3 + 0*d**3 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1040 and 1800.\nAnswer: 46800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/29410 and -91\/17646?\nAnswer: 88230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 2*a + 9 = 0, 2*a - a + 12 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*a + 23. Suppose 4*k - 11 = -3*p - 1, -k = 4*p - 35. Let s = p - 5. Solve -4*z + 3*z = -2*j - s, a = 4*j - 5*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 3 = r, -4*k - 5*r + 18 = -3*r. Suppose k*i = 5*p - 6*p + 7, -5*p + 8 = i. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 2\/5  (c) 3\/5  (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32 and 190.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47224449 to the nearest integer?\nAnswer: 6872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*(0 + (-32)\/(-24))*6\/(-12). Solve -5*q - 7 = -2*i, -2*q = n*q + 4*i + 28 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-700)\/(-225) + (-2)\/18. Find the common denominator of -59\/3 and ((-1272)\/220)\/(-2) - r.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 8  (b) -4  (c) -13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6651?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -19090 + 19085, -k - 11 = -2*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -30*q + 144. Let h = 4.1 - 1.1. What is the fourth biggest value in q, h, -1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3. Suppose -4*z = 4, -v*g - g - 5*z - 1 = 0. Which is the closest to g?  (a) -3\/8  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32.76 times -1471\nAnswer: -48189.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 78a163 (base 15) in base 7?\nAnswer: 66625350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.114 and -0.5?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**6*j)\/j**2)\/((((j**7\/j)\/j*j)\/j)\/j**(-1\/7)) assuming j is positive.\nAnswer: j**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 401864423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2975 * -0.6\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 14*z**2 - 5*z + 5. Let u(l) = 69*l**2 - 24*l + 24. What is 24*q(i) - 5*u(i)?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 64305 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 88*k - 168. Let w = 3794 + -3792. Give v(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27515.29 + -27399. Let x = b - 2.29. Let j = 113.99921 - x. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9259 - 9672. What is the second smallest value in -5, -3\/4, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 4*h - 28, 2*h + 2*c = h + 12. Solve 14 + h = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3\/7 + 1178*u**2\/7 + 1172*u\/7 - 336.\nAnswer: 2*(u - 1)*(u + 2)*(u + 588)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gzjz when four letters picked without replacement from {z: 2, s: 2, x: 1, j: 6, g: 6}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3875053, 31000484, 104626669, 248003986, 484382813?\nAnswer: 837013528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 3*s = -2*z + 4, -4*z + 3*s = -11. Let m be (-36)\/(z + (-135)\/25). Let o be (-2325)\/1 + m\/18. What is o rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 172 = -53. Suppose 0*l - 3*l = -x. Suppose 0*s - a = s + 1, -5*s = a - l. Calculate the smallest common multiple of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*r + 48 = 0, -4*n - 58 = 4*r - 282. Suppose n*f - 85 = 37*f. Solve -1 = -4*x + f*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1*-2)\/(-4 + 2 + 1). Let i(w) = -19*w**3 + 2. Let x be i(v). Let p be x\/35 - 1 - -5. Which is the closest to 0.1?  (a) p  (b) 5\/8  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9454449 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 < 61049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 18 = -2*q, 4*y - 26 = -50*q + 47*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33)\/(-11)*(-504)\/42.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2268791 or -2268797?\nAnswer: -2268797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/3241 and -99\/839252?\nAnswer: 2720015732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - ((-44)\/10 + 4)*1465. Suppose -3*j = r - l, 5*r + 960 = 2*j + 3*j. Let w = j + 3. What are the prime factors of w?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(-3\/2))\/r*r)\/r**7)\/(r**10*r**(-3\/7)) assuming r is positive.\nAnswer: r**(-239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 124 = 6*q. Suppose 0 = -2*g - 4*g - q. Let t = g + 956. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 169628 divided by 21.\nAnswer: 169628\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - (sqrt(77)*-1 + sqrt(77))*1 - 2*sqrt(77)*2)\/(sqrt(112)*-5 + (sqrt(28)*5 - sqrt(7))))**2.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, 0.03, -1 in decreasing order.\nAnswer: 5, 0.03, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13010303 + -133?\nAnswer: -13011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2037 and 0.06.\nAnswer: -2036.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 - -19. Let g be b + (-8)\/(2 + -4). Sort -3, g, 2 in increasing order.\nAnswer: -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -32, -67, -102, -137?\n\"Answer: -35*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1837736.\nAnswer: 2, 229717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.22  (b) 9  (c) -1330  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 4 - 4)*(-4*z - 2*z + 4*z) - 253*z + 41*z - 364*z)*(z**4 - 3*z**4 + z**4).\nAnswer: 574*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**3 + 25*o**2 - 6*o + 7. What is the tens digit of s(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 512*a**2 - 8196*a + 64.\nAnswer: 4*(a - 16)*(128*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**3 - 4. Let d be m(-2). Let q be 15\/18*(-2)\/5*-1. What is the second biggest value in q, d, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*s - v + 7 = 59*s, -4*s = -2*v + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 15 = 4*g. Suppose g*v - 27 - 13 = 0. Do -2\/7 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**3 - 2 + 2 - 5*k**2 + k**2 to the form z*k**3 + h*k + q*k**2 + c and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of 3*b**8\/14 - b**4\/3 + 18*b. Find the third derivative of p(z) wrt z.\nAnswer: 1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -202*w**3 + 8*w**2 + 8*w - 14. Let a(p) = -67*p**3 + 3*p**2 + 3*p - 5. Determine -8*a(z) + 3*k(z).\nAnswer: -70*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22801 + 16180. Let u = t + 53063\/8. What is the common denominator of u and -28\/129?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of n**4\/4 - 5*n**3\/3 - 3*n**2\/2 - 4*n + 54. Calculate h(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.11 * -2.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert d (base 16) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -8*m**3 + 3*m**2 - 3*m. Let l(d) = 72*d**3 - 28*d**2 + 28*d. Suppose -4*y + 3 = -5*q, -5*y - 30 = -7*q + 12*q. Give y*l(z) - 28*i(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13410 and 2980.\nAnswer: 26820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18216 and 36432?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 PM and 11:57 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.017 + 0.089. Let s = a - 0.013. Round s to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*l**3)*(2*l - 3*l + 3*l + (939 + 67*l - 939)*(-3 + 2 - 2) + 2*l + 3*l - 4*l + (-l + 3 - 3)*(-2 + 3 - 4) + 3*l - 4*l - l).\nAnswer: -394*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (2 + sqrt(2299) + sqrt(2299))*3 + 5 + 1 + sqrt(2299) + 4 + 5)**2.\nAnswer: 2464*sqrt(19) + 112907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -965, -970, -977, -986?\n\"Answer: -p**2 - 2*p - 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 9*b**2 + 150*b - 130. Give n(-16).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 38, -4, -12, 121, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/20*5 + 110\/(-1). Let k be p\/8*12\/(-9). Is 18 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -181 and 0.462.\nAnswer: -83.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 11:14 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24699827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3369, 3367, 3365?\nAnswer: 3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1102033200 (base 4) in base 11?\nAnswer: -210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 86657991 > 86657993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**2 - 71828*v + 89920400 = 0. Calculate v.\nAnswer: -19132, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + 4*n**2 + 4*n - 1. Let k be m(-2). Is ((-1)\/k - -18) + (2 - -1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15851317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5 = -x + c, -3*x = -2*c - 7. Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-4) + 2\/12. Let k = -13 + 18. Let s be (k\/(-15))\/((-14)\/18). Which is the nearest to r?  (a) -0.3  (b) -3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/3))**(-9)\/((o*o**(-1))\/o*o)**(-2\/33)*o**3\/o*o*o\/(o**(-6)*o)*o*o**3*o*o**(-2\/13)*o assuming o is positive.\nAnswer: o**(115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -10*p - 2. Let o be y(2). Let s = 16 + o. Let q be s\/(-4) + (-24)\/(-16). Let k(a) = a - 1. Determine k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 24*y - 113. What is u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -58*a**2 - 25*a + 34*a - 11*a + 2 + 6*a**2 - 6*a**2 - a**2 + (2*a - 7*a + 3*a)*(2*a + 0 + 0) in the form v*a**2 + i*a + t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaroornoo. Give prob of sequence anar.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 5*a = -2*w - 100, -6 = 3*a. Suppose w*y = 491 - 77. Solve 0 = b - y + 27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of (10\/20*2)\/((-1)\/(-24649))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 739410 and 929544?\nAnswer: 32534040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1329 divided by -3\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 0 - (57 + -53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1 = 11. Suppose 0 = -w*b + 10*b - 72. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k*k*(k**(1\/2)*k)\/k*k))**(-14\/5))**(-16)\/((k**7*k**(3\/2))\/(k**2\/k*k**(2\/17))) assuming k is positive.\nAnswer: k**(-4059\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*h**2 + 1 + 4*h**3 + 7*h**4 + 6*h**4 - 12*h**4 - 4*h**3 + h in the form l*h + p*h**4 + g*h**3 + v*h**2 + j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(42\/(-4))*(-2)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 779 - 5400\/7. What is the common denominator of o and 47\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*x**2 - 3*x + 5*x - 3*x**2.\nAnswer: -117*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3816 is divided by 334?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**5 - 240*j**4 + 927*j**3 - 1146*j**2 + 456*j = 0. Calculate j.\nAnswer: 0, 1, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + w - 1)*(13 + 0 - 9).\nAnswer: 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3*d - 165 = 78, 5*c + d = 1135. Let s = c - 97. Let m = 55 - 33. What is the remainder when s is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2881 at least as big as 2881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-54)\/4)\/9)\/(6\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -556, -1155, -1752, -2347, -2940, -3531, -4120?\n\"Answer: u**2 - 602*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x + 7. Let f be b(7). Suppose f*z + z - 19 = 0. Solve -4*t + v = 3*v + 14, -t = -4*v - z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 2*p - 5*d, 19*p - 3*d - 12 = 22*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -0.1, -4, -2\/33, -149?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -12. Suppose -a*j - 3*j + 36 = 0. What is the second derivative of 11*t**4 + 12*t**4 - 15*t**j - 2*t wrt t?\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101045748.\nAnswer: 2, 3, 661, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - ((-4 - -7) + -7 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 195610424 - -59090\nAnswer: 195669514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -5*n**4\/24 + n**3\/3 - n**2. Let a = 495 + -493. Determine l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92181?\nAnswer: 3, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 582022368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 + 16. Suppose r*h - 68 = 60*h. Let w(a) = 3*a**2 - 4*a + 3. Let s be w(3). Are h and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*b = -16*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/(-70)*93\/5 and (-2)\/(-5) + (-81)\/(-2760)?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 281388 and 1120836?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 216824865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000018020839464 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7441915 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.01857l to millilitres.\nAnswer: 5018.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of 319*m**6\/120 - 985*m**4\/24 + 647*m**2. Find the second derivative of v(n) wrt n.\nAnswer: 1914*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -70 + 119. Suppose 4*d - q = -13. Let n(b) = d + 0*b + 8 - 2*b - 11. Calculate n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15071 - -983. Does 115 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**(1\/4)\/n*n)\/n)\/n*n)**(17\/6))**28*(n\/(((n**(2\/5)*n)\/n)\/n))**(-46)*(n\/(n**(2\/11)*n)*n)\/(n\/(n\/(n*n**6))) assuming n is positive.\nAnswer: n**(-15321\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1088 and 24.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 17, -1824 in increasing order.\nAnswer: -1824, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121 (base 3) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*c - 6. Let h(s) = 4*s**2 + s - 5. Let z(l) = -4*l**2 - 2*l + 6. Let q(j) = c*h(j) + 4*z(j). Let q(k) = 0. Calculate k.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 16*b. Let v(x) = 10*x. Calculate j(v(c)).\nAnswer: 160*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -v**2 - 4985*v + 331?\nAnswer: -2*v - 4985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 7*t + 9. Let h(s) be the third derivative of s**4\/6 + 5*s**3\/6 - 13*s**2 + 2*s - 3. Let g be (3 - -1) + 2\/(-2). Give g*z(o) - 5*h(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 962 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w = -9 + 17. Let p = w + 10. Is 40 a factor of 943\/p + (-1 - (-11)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -59*j**3\/6 - 7*j**2\/2 + 9838*j. Let r(l) = 29*l + 3. Give 2*n(s) + 5*r(s).\nAnswer: 27*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -20*p + 10*p - p**3 + 2*p**3 + 3 + 7*p - 6*p**2. Determine c(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 5)*(15*q + q - 5*q)*(-58 - 16 - 36).\nAnswer: -2420*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-20))\/((-75)\/800*-16)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*d = -283*d + 244398. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 6*v**2 + 5*v + 4. Let b be s(-2). Let n = b - 4. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47.3 - 47.8. Let z = -336 + 335.8. Which is the closest to 10\/11?  (a) 0.3  (b) z  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2*h - 71, 2*x = -3*h - x + 105. Suppose -i + 50 = 11. Suppose -s = h - i. Solve -20 = t + s*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2529 and 79816083?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -386 + 130. Let l = -2302\/9 - d. Put l, -8, -5 in increasing order.\nAnswer: -8, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n**2 + 2798*n + 3216 = 0.\nAnswer: -8\/7, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 3*v - 3*v)*(1 - 3 + 1) + (2*v - 3*v + 3*v + (-2 - v + 2)*(-5 + 4 + 0))*(4 - 1 - 4).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7217.603nm to millimeters.\nAnswer: 0.007217603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -126*k**3 - 1850*k**2 + 4*k - 2. What is x(-15)?\nAnswer: 8938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -0*u + 5*y - 4, -3*u = y - 8. Suppose 0 = -u*x - 14 + 4. Let d = -5 - -8. Sort -0.2, x, d in ascending order.\nAnswer: x, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**4 - 4*c**4 - c**4 + (-2*c**2 + 3*c**2 + 0*c**2)*(-4*c**2 + 0*c**2 + 5*c**2).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8353?\nAnswer: 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2. Suppose -8 = 2*t + 2*t - 4*c, t = -2*c + 10. Let y(s) = s**2 + 0*s**2 + s**t. What is x(y(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 - ((-37)\/(-4) + -5). What is the closest to 9 in -3, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -103.6983 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - 3)\/(1\/2). Let g = -7 - x. What is the common denominator of g and 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*k - 93\/2*k**2 - 3\/4*k**4 + 99\/4*k**3.\nAnswer: -3*k**2*(k - 31)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 9 + 4)*(-862 + 83*n + 72*n + 72*n - 229*n).\nAnswer: 6*n + 2586","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16 - -30 - -435) + -15. Suppose -c = -5*c + 1740. Which is bigger: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 752691157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (28 - 19) - 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -o**3\/3 - 1. Let p(i) = 9*i + 5. Let a(j) = -1. Let q(s) = 5*a(s) + p(s). Calculate q(r(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**3 + 4*t**2 + 4. Suppose 18 = 7*c - 17. Let h(s) = 4*s**3 + 5*s**2 + 5. What is c*l(r) - 4*h(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 49094\/7 or -402?\nAnswer: 49094\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 + 2 = 2*n. Let u = n - 52. Let l(j) = -j. What is l(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/25, 17, -14, 2\/7, 3 in decreasing order.\nAnswer: 17, 3, 2\/7, -4\/25, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6342038 to the power of 1\/2, to the nearest integer?\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.0889241 microseconds to days.\nAnswer: 0.00000000025565884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 33, 70, 107, 144?\n\"Answer: 37*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94\/141*(-5214)\/(-4) is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 10:55 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65 - -70) + -2 + 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -u**3\/3 + 20. Let h(c) = 60*c. Give d(h(s)).\nAnswer: -3600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.6  (b) -23  (c) 47\/32  (d) 1.3  (e) -9  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9 - -4) + 1 + 4 - -4. Factor -2\/3*m**5 + 0*m**o + 0*m + 2*m**3 + 0 + 4\/3*m**2.\nAnswer: -2*m**2*(m - 2)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(77))\/sqrt(11).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 58*t - 54*t + 8. Let d be -20 + 15 + (-10)\/t. What is the first derivative of -15*k**4 + d*k**3 + 0*k**3 + 62 - 58 wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 94 + -91. Suppose s + 396 = 4*r, -320 = -5*r + t*s + 168. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 688077 is divided by 4057.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51)\/sqrt(75) + sqrt(2057) + -1)**2 + -6*(3 + (-2*sqrt(1700))**2).\nAnswer: -967113\/25 - 112*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 37633680 and 1724877?\nAnswer: 413970480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 121 + -122. Let u be 4\/(-6) - 4\/3. Let n = -2 + -1. Put d, n, u in increasing order.\nAnswer: n, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40249?\nAnswer: 11, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of -m**7\/140 - 3*m**6\/80 - 3*m**5\/40 - m**4\/16 - m**2 + m. Let b(w) be the first derivative of o(w). Let b(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6439, 12891, 19321, 25717, 32067, 38359?\n\"Answer: -2*x**3 + x**2 + 6463*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 9:03 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1\/5)\/(6\/(-24)*2). Let t = 0.1 + -10.1. Sort m, 2, t in descending order.\nAnswer: 2, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.83009mm in kilometers?\nAnswer: 0.00003083009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*p + 2*q, -6*q = 5*p - 3*q - 35. Let v = -1.13 + 1.03. Suppose 5*h + 0 = -15. Which is the nearest to v?  (a) h  (b) p  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k + 0*k - 3*k)*(-3*k**2 - k**4 + 3*k**2) + 15*k**5 + 101*k**5 - 10*k**5.\nAnswer: 105*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 5*j = 265, j = 3*s + 37 - 194. Suppose -6*m - s = -304. What is the highest common divisor of m and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1066786\/3 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 39*b**2 + 18*b**2 - 7*b**2 + (0 + 0 - 9*b)*(0*b + b + 2*b).\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -6. Let c = r + -5.5. Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -13. Let j = 3 + k. Is j less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9714817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {q: 3, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3.148007.\nAnswer: -3.148007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17.974 - 15.974. Let d = 0.4 + -0.7. What is the nearest to -1 in 2.4, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6216905893143*x**2 - 6216905893143*x**2 + 9*x**3 - x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (((-36)\/57)\/3)\/2. Let r = -141\/4 + 35. What is the smallest value in p, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 702095031 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -288 + (15\/(-60) - (-11)\/(-4)). Let p = b + 295. Factor 7\/3*r**2 + 2\/3*r + 2\/3*r**p + 0 + 7\/3*r**3.\nAnswer: r*(r + 1)*(r + 2)*(2*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w**2 + 9 - 10*w - 2*w**2 - w**3 + 0*w**2 + 13*w**2. What is the tens digit of s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**5\/60 - 11*v**4\/24 - 5*v**3 + 3318*v**2. Determine t(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/((-8)\/(-10)))\/(35\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 5*p = 50, 4*c - 26*p + 36 = -25*p for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 - 451*w + 15676. Calculate x(413).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/66 and 15\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 830223 (base 10) to base 3\nAnswer: 1120011212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (169*p - 169*p + 19*p**2)*(4*p + 2*p - 4*p + 2) + (3*p**2 - 2*p**2 - 3*p**2)*(-5*p + 7*p + 3*p) to the form s*p**3 + o + d*p + r*p**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1808b - 1?\nAnswer: -1808c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 670410 and 19656.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = k, -13*l + 35 - 17 = -5*k - 36 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 16 + 8. Let d be 13\/3 + (-4)\/(-6). Suppose -3*m + 2*m + 2*v = -8, d*v + 15 = 2*m. Calculate the lowest common multiple of w and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v + 0*v = 30. Suppose v*i + 3*i = 30. Suppose 2*h + 153 = i*h. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -45*i - 101. Let q = 143 + -101. Let d = q - 23. What is the remainder when p(-3) is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 - (4992\/(-3744) - 106\/6).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 + 8*j. Let u = 22 + -14. Let s be t(u). Which is the closest to s?  (a) 0.3  (b) -1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 105\/58 and -69\/1045096?\nAnswer: 30307784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 29789 and -0.5.\nAnswer: 29788.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 276671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5*k**2 - 330*k - 2021. Let q be w(-6). Solve -7*c - q = -139 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-6)*(0 - (6 - 3)). Let h(k) = k**3 + 2*k**2 + k - 4. Let s(a) = -a + a**2 + 6*a**2 - 6*a**2. Let d(j) = t*s(j) - h(j). Factor d(x).\nAnswer: -(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/2236 and -31\/415466.\nAnswer: 10802116","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 10*z = -730, -3 + 2 = -z. What is the remainder when c is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 0*l + l + 11 = 0, -3 = -3*k - 3*l. What are the prime factors of (15\/k)\/((-6)\/48)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 17*j + 17. Calculate x(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -74 - 39 - 1671*u**4 - 15*u**2 + 1720*u**4 - 4*u wrt u?\nAnswer: 588*u**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16138333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + 1 + 1 + (sqrt(432) - (sqrt(432) - (3 + sqrt(432)))*3))**2.\nAnswer: 528*sqrt(3) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58184\/21819 - 178\/6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -78 (base 9) to base 12\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 11*v**2 + 8*v + 5. Let y be w(-12). Suppose -f + n + 60 = -y, 2*n = f - 118. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*s**4\/2 + 7025*s**3\/2 + 21135*s**2 + 42310*s + 28220 = 0. What is s?\nAnswer: -2, 1411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 51149672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (724\/(-8869))\/(6\/(-7))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*s = -16706 + 16958 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 60122*x - 3126373. Calculate g(52).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(2299) + 4*(sqrt(2299) + 0)))**2.\nAnswer: 57475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 4*h + 16 = 0, -5*t - h = 2*h - 12. Suppose 42 = 382*d - 389*d. Let f be ((-30)\/45)\/(2\/d). Solve -4*o + f*i = -t*i, 4*o + 5*i = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 150 + 3?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 6276429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 38285\/(-190)*(0 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 223 = -230 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u + 15. Give c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = c - 152, -5*c - 2*v + 35 = -657. Suppose 0 = 2*f - 6*f + c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/((-805)\/(-46)))\/((-38)\/(-1349))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 2443877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 504 = 5*i + 496, 4*i - 47 = 5*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 2. Let v be ((-15)\/6)\/(g\/6). Let j be (-90)\/27*12\/10 + 4. Solve 5 = v*q - j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 166, 277, 510, 859, 1318, 1881, 2542?\nAnswer: 3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**2\/9 - 83264*d\/3 + 832440 = 0. Calculate d.\nAnswer: 30, 124866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1))**(1\/35)*(p*p*p\/(p*p*p\/(p*p**(1\/3)*p))*p*p*p)**7)**26 assuming p is positive.\nAnswer: p**(101842\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(45)*-3 + 4.\nAnswer: -9*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, y: 12}. Give prob of picking 1 y and 2 r.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 1:46 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84133791?\nAnswer: 3, 7, 1335457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 52\/34485 and 27\/374.\nAnswer: 1172490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - 29 - 28*a + 2*a**2.\nAnswer: 2*a**2 - 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*u = -46*u - 48. Which is the third biggest value?  (a) 6\/7  (b) -14  (c) u  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of 0*n + 10 - 14\/5*n**5 + 0*n**4 + 0*n**2 - 5*n**3. What is the third derivative of g(o) wrt o?\nAnswer: -336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -60371, -55475, -47313, -35885, -21191, -3231?\n\"Answer: 1633*h**2 - 3*h - 62001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -9*o**7\/7 - 11*o**3\/3 + o - 12. Find the third derivative of x(h) wrt h.\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(17)*1 + -5 + sqrt(34)\/sqrt(2)*-2 + -5.\nAnswer: -13 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -354*n**5 + 3*n + 167.\nAnswer: -7080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (145\/(-87) - 44\/6)\/((-4)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*l - 95*l + 2*c + 48 = 0, l - 363 = 20*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 39075 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3527 = 5*c, 3*c - 473 + 1650 = k. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 2*r**2 + r. Let x = -1 + 2. Let u(p) = 8*p**3 + p. Let o be u(x). Let v be (-6)\/27 - (-29)\/o. Determine c(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00205166 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 7806 to the nearest 100.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4853609 is divided by 364?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 636?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -6 + -46 + (2 - (-1 + 2)) + -7?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.367 + 24.953972194.\nAnswer: 28.320972194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1245690 and 7474140.\nAnswer: 7474140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**6)**24 assuming a is positive.\nAnswer: a**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/7, 6\/25, 2, -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 56 + -51. Suppose 54 = g - n, -2*n - 15 = -y*n. List the prime factors of g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2721, -10881, -24481, -43521, -68001?\nAnswer: -97921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15950\/464 - 40)\/(50\/(-160)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2\/3, -1\/5, 2, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27412903 is divided by 10294?\nAnswer: 10275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 8.0105. Round p to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/25, -0.4, 111, 2, 15, 620 in ascending order.\nAnswer: -0.4, 2\/25, 2, 15, 111, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 6. Let i(c) = -3*c - 5 - c + 3*c. Let n be (-1)\/(-3) + 32\/(-6). Let f(b) = n*m(b) + 6*i(b). Let h(z) = -2*z. What is h(f(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 463, 391, 353, 343, 355?\n\"Answer: -c**3 + 23*c**2 - 134*c + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -8*f. Suppose 18 = 2*k - f*k. What is the least common multiple of 1\/2*(k - 7) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 16*g. Let h be t(-1). Let y = h - -20. Suppose 0 = -2*n - y*c + 11999992, -2*n + c = -3*c - 12000008. Round n to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {i: 2, o: 2, c: 2, s: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50217 is divided by 465.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 4, -4, 1\/8, -119, 1\/11 in decreasing order.\nAnswer: 4, 0.5, 1\/8, 1\/11, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 594.9 + -634. Let n = s + 39. Let t be 2\/(16\/6) + -1. Which is the closest to n?  (a) t  (b) 0.2  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*z**3 + 3)*((-3 + 2 - 6)*(-3 + 2 + 3)*(-5 + 5 - 4*z) + z + 2*z + 0*z - 4*z + z + z + (3 + 1 - 2)*(-3*z - z + 3*z) - 2 + 2*z + 2).\nAnswer: -114*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 109 + 0?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -95*f**3*t**2 + 7*f**2*t**2 - 4 wrt f?\nAnswer: -570*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 8, q: 9, y: 2}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 44 = -4*n. Suppose -z = 2*z - n. Find the first derivative of 7*b - 12*b + z*b - 7*b**2 - 8 wrt b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.13 + -11. Let y = l + -0.2. Let r = 0.23 - y. Which is the closest to -0.2?  (a) 5  (b) -4\/5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jcjcv. Give prob of picking 1 c and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 155979 and 0.412.\nAnswer: 64263.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3784\/24)\/43)\/(((-10)\/(-12))\/(-5)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*p*t**4 + 1206*p + 215*t**4 wrt t?\nAnswer: 8*p*t**3 + 860*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 11:06 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1170 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.00895 in 2, -4, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*a - 12. Let s = 7 + a. Suppose s*f = f - 8. Let g(r) = -r**2 - 3*r + 1. Give g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/18 - 4\/18. Let n = -89 + 91. Suppose f = n*h + 3*h - 165. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -6 - 4 - -3 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5.5, -0.5, 2\/11 in descending order.\nAnswer: 5.5, 2\/11, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, z: 1, o: 4, s: 2}. Give prob of picking 1 z and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -277, 2\/9, 4, -224, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 8, h: 1, a: 6}. Give prob of picking 2 v.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**5\/5 + 22413*z**4\/5 + 8967*z**3 + 22419*z**2\/5 = 0. Calculate z.\nAnswer: -1, 0, 7473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 456 and 2474788?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 558700435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36065 + -36026.131. Let n = m + 0.331. Let y = 40.116 - n. Round y to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oziyayooazydiaa. Give prob of sequence ia.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/3 - ((-1859)\/138)\/11 and -33\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**2\/(n*n*n\/n**(2\/9)*n))\/(n*n\/n**(-2))**(-36))\/((n*n\/(n\/n**(-2\/7)))**(-19)\/((n\/(n\/n**(-3\/7)))\/(n*n\/n**(-7)))) assuming n is positive.\nAnswer: n**(9221\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -3. Suppose 0 = -5*p - 25, 2*o + p = -0*p + n. What is the third derivative of 0*j**2 + 3*j**o - 3*j**5 - 5*j**2 + 4*j**5 wrt j?\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1cb0 - -449?\nAnswer: 20f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 2*n + 4. What is h(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i + 7. Let u(r) = -r + 6. Give 2*j(z) - 3*u(z).\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -115*b + 1. Let s(h) = 58*h - 1. What is 3*d(x) + 5*s(x)?\nAnswer: -55*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -521*281.3.\nAnswer: -146557.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -0.5, -3\/22, 11, 4, -29?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/6 and 29\/28408.\nAnswer: 85224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -10*q**2 + q**3 + 0*q**2 - 2*q**3 + 13 - 8*q. Let a be t(-9). What is the units digit of 112\/18 + a\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b - 373 = -421 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -7*h + 2*h. Let j(s) = -s**2 + 5*s - 2. Let y be j(h). Is y at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -21, -36, -51, -60, -57, -36?\n\"Answer: c**3 - 6*c**2 - 4*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 113579 by -21.\nAnswer: -113579\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24 - 80) + (3 + 0 + 1 + -7 - 1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -128, 797, 2346, 4519, 7316, 10737?\n\"Answer: 312*g**2 - 11*g - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 = 27*d + 138 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2610 and 5.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/77)*v\/(v**29\/v)*(v*v**(-1\/4)*v)\/(v*v\/((v**27*v)\/v)*v) assuming v is positive.\nAnswer: v**(-377\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1235868 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 + 2)*(4 - 2 + 2)*(0*p + 0*p - 2*p)*(p - 2*p + 2*p) in the form d + c*p**2 + h*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3.7, 9.4, 0.2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18708 (base 10) in base 3?\nAnswer: 221122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16417.977 months in centuries?\nAnswer: 13.6816475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n - 4*n + 2*n + 1 - 4*n**2 to v*n**2 + y*n + s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5\/84 + 11\/28. What is the fourth smallest value in 0.3, 9.2, -1, l?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**5\/14 + 71*d**4\/42 + 22*d**3\/7 + 67*d - 13. Solve y(b) = 0 for b.\nAnswer: -66\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**3 - 49*t**2 - 23*t + 39. Let k(b) = b**3 + 23*b**2 + 11*b - 18. Let l(r) = 13*k(r) + 6*m(r). Calculate l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9 + -522)\/((-6)\/4). Find the common denominator of 67\/10 and (g\/9)\/((-8)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/28 + 279\/36.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5 + -5*sqrt(432)*2).\nAnswer: -20 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8056, 8059, 8064, 8071, 8080, 8091?\nAnswer: 8104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from gtft.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 6*r**4 - 16*r**3 + r - 62. Find the second derivative of v(s) wrt s.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 5*v**3 + v**2. Let h be z(1). Suppose 2*x + 0*j = -2*j + h, -2*x = -5*j + 8. Factor -3*c - 3 - x + 5*c**3 + 15*c**2 - 11 - 2*c.\nAnswer: 5*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 350.1 - 350. Which is the nearest to 0?  (a) -1\/2  (b) -565  (c) -3  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 9:44 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 652.6620972.\nAnswer: 656.6620972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 39.859 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -4, -1.1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-20) + (-403942)\/(-220). Let s be 0*(-3 + 6 + -4). Suppose -4*v + f - 312 = s. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0043880237 rounded to 6 dps?\nAnswer: 0.004388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -217 (base 14) to base 9\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31201350?\nAnswer: 2, 3, 5, 208009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -a**4\/24 - a**3\/6 - a**2\/4 - 2*a + 3. Let q(i) be the first derivative of j(i). Factor q(p).\nAnswer: -(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h - 1. Let o be a(-4). Solve o*s - 2*q + 16 = -s, 0 = -4*s + q - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 + -11 - (-38 - -10 - -1 - 13).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/15275 and -87\/520?\nAnswer: 122200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 + 7. Suppose 2*c - 2*o = 968, 5*o = 3*o. Suppose 2*v - c = -a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -85600094 times 0.2?\nAnswer: -17120018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/555 - -10553\/2220. Calculate the common denominator of s and 31\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38849 is divided by 282?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (42\/7)\/(2\/(-9)). Let g be (-5)\/(5\/(-3))*h. What is the tens digit of (-12897)\/g + (-4)\/18 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1367*k + 1372*k = -9*i + 36, 0 = 2*k + 3*i - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 2*t - 4 = 0. Suppose 6*v - 8 = t*v. What is the third derivative of -f**6 + 0*f**2 + 3*f**v + 2*f**2 - 6*f**2 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -278*c**2 - 39*c + 32. What is o(2)?\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/98*-7)\/(4\/14)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 8:41 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -47*s**3 - s**2 + 5*s + 9. Let f be j(-9). Suppose -308025 = -4*p + 5*x, 3*p = -4*x + 196834 + f. Round p to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 4 = -l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -180300 divided by -9015\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3336232 + 3?\nAnswer: -3336227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 257 - 261. Let g = -18 + 27. Let h = g + y. Do 4 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16.7 - 17.41. Let s = m - -0.7099634. Round s to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6691, -13414, -20137, -26860, -33583, -40306?\n\"Answer: -6723*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (45\/(-375)*10)\/((-1)\/30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/6 + 52\/12. Suppose 0 - q = -i. Suppose -i*y + 5*s = -1507, 7*y + 2*s = 2*y + 1859. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**2 - 4*i**2 + 5*i**2 + (0 + 4 - 2)*(-i**2 + 0*i**2 - i**2).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -55*(-35)\/19250*1088\/8?\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258*o = i + 263*o + 10, 3*i - 5*o = 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 + 0. Let l = -154.06 + 158. Let m = 0.06 + l. What is the nearest to h in m, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53159207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(3 + (-5 + sqrt(1584)*-1)*5)*-4)**2.\nAnswer: 1520640*sqrt(11) + 23088384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = 4*c - 2. Find the common denominator of 5\/c - (-158)\/16 and 14\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34230, -34651, -35078, -35511, -35950, -36395?\nAnswer: -36846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -112 - -112.0000203. What is i rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29552, 29013, 28114, 26855, 25236, 23257, 20918?\nAnswer: 18219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - -4*(4 - -1). Suppose 0 = 4*i + l - m - 64, 0 = -2*i + 5*l + 59. Let f be (-27)\/(-33) + 4\/i. Solve 5*a + f = -9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.27 - -0.27. What is the closest to 4 in -3, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12\/(-3)*(-17)\/(-34) + 820 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 144400099 to the nearest ten thousand.\nAnswer: 144400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + u + 20 = 0, -5*y = 11*u - 12*u - 44. Suppose -p - 3*s = -y*s - 22, 6 = -2*s. Is 2\/31 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5607*d - 876*d**3 - 9*d**2 + 2*d**2 - 5282*d + 4084*d wrt d.\nAnswer: -5256*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 8) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -t**4\/54 - 427*t**3\/27 + 286*t**2\/3 - 3849*t. Factor p(h).\nAnswer: -2*(h - 2)*(h + 429)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-293*n**3 - 96*n**3 + 207 - 207)*(2*n - 5*n + 7*n) as h + i*n**4 + f*n**3 + q*n + a*n**2 and give i.\nAnswer: -1556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-2))**(-8)*p\/(p\/(p**(-23)\/p*p*p))*p*(p**(-9)*p)\/p assuming p is positive.\nAnswer: p**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -s**3\/6 - 153*s. Let r(w) = 5*w**2 - 16*w. Determine p(r(x)).\nAnswer: -5*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -87396.8 times 237\nAnswer: -20713041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 4*j + 2. Let i = -2 - -4. Suppose -g + 2*g = -i. Determine h(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(8\/980) - 1\/2. Let i = l - -136. Solve 2*c - i + 5 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50040144.9 plus -32.61?\nAnswer: 50040112.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u + 3. Let g be o(11). Let z be 75\/(-20) + 2\/g. Sort -10, 5, z in descending order.\nAnswer: 5, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (1*(sqrt(15) + 1*sqrt(1500) + sqrt(1500))\/sqrt(3) - (sqrt(55)\/(sqrt(11)*3) + -1 + sqrt(5) + 2)))**2.\nAnswer: -590*sqrt(5)\/3 + 17630\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - -1. Suppose -2*w - 3*b + 54 + 7 = 0, -73 = -g*w + b. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.7477 + -9.2523. Which is the third biggest value?  (a) 0  (b) s  (c) 0.2  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(16)\/(sqrt(8)*-4) - (sqrt(72)*-1 - sqrt(72) - sqrt(2))) + 4 + 3 + sqrt(288) + sqrt(8))**2.\nAnswer: 749*sqrt(2)\/2 + 11825\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1132*r + 359*r + 633*r + 133812 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 18. What are the prime factors of (-230)\/(-8) + 12\/g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from mmmypmyzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(((p*p**(-2\/3)\/p)\/p)\/p))**2*(p**(-2\/13)\/p)\/p*p**8 assuming p is positive.\nAnswer: p**(514\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 + 7*l - 10. Let d be a(3). Let q(x) = 18 + d*x - 17 + 87*x**2 - 4*x + 0*x. What is the tens digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - z = 20. Suppose 0 = 2*g - z, -g = 2*i + 3 - 22. Let y be -1*((-20)\/6 + (-116)\/174). Solve -i*w + 20 = -3*w - 4*u, 0 = -y*w + 2*u + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**5 - 7*v**4 + 154*v**2 - 5*v - 5. Let f(o) = -o**5 - 2*o**4 - o - 1. Let d(j) = -5*f(j) + s(j). What is the third derivative of d(z) wrt z?\nAnswer: 360*z**2 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/7 in 4, 2\/5, -2\/9, 2\/415, -4\/87?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 544.9959 days to nanoseconds.\nAnswer: 47087645760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 12*x - 75 = 0. Suppose -5*u + 2*v + 8 = -73, 0 = 2*u + 5*v - x. Solve -17*n = -20*n - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 50\/7*d + 2\/7*d**2 + 200\/7.\nAnswer: 2*(d + 5)*(d + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-3) + 78\/9. Suppose 4*f = u*f - 3*p - 27, -5*f + 4*p = -35. Suppose 1 = 4*w - f*w. Solve 4 = 4*x, -3*h + 3*x - 2 = w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120.023 rounded to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*l + 84 + 176. What is the smallest common multiple of 12 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + 6a?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, p: 3, x: 1, f: 2}. What is prob of sequence fffc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - -5 - (-1 + 1). Suppose -s - 81 = -i*s - v, 0 = 2*s - v - 159. Let m = 10 - s. What is m rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/7  (b) 3  (c) 7  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 23*t = -m - 3*t + 98, 3*m = -t - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/5 in 2, -7\/4, 3\/2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/40 and -59\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 464 divide 999920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21.4 + -21.4. Which is the nearest to 1?  (a) -0.5  (b) -154  (c) -0.2  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -293.67 - -293.77. What is the closest to n in 1.3, -0.28, -5, 2?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**8\/g*g**(2\/7))\/(g*g**0)**23 assuming g is positive.\nAnswer: g**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5.63 in -0.5, 3.4, 2\/23, 0.5?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01 + -3.99. Let j = -3.7 - s. What is the closest to 0 in 2, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 - 4*q**2 + 5*q + 3. Let f = 15 - 20. Let s be h(f). Suppose 0 = -2*d - 0*d + 10. Solve -d + 11 = -s*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, k: 8, i: 7}. What is prob of picking 2 o?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -15\/7, 1\/5, -0.04?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 16.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 1:07 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 6*w**2 - 2*w + 7. Give c(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-4)*518\/21. Let q(z) = 11*z**2 - 129*z - 763. Let s be q(-6). What is the highest common divisor of s and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*m**3 + 44 - 44 + 1757*m**3 + 282*m**3 + 925*m**3.\nAnswer: 2884*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 6*r**4 + 4648*r**3 + 198186*r**2 + 1855760*r - 2058600 = 0.\nAnswer: -730, -30, -47\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*b - 4 = -193 - 3. What is the lowest common multiple of 16 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 34*c + 148. Let j be k(-5). Let y(w) be the third derivative of 0*w - 4\/3*w**j + 1\/24*w**4 + 0 + w**2. Determine y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 28 + -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 10*y**2 - 9*y + 12. Let b be j(5). Is 22 a factor of (b\/(-3) + -1)*(-18)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 9406122.\nAnswer: 94061220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(231\/(-55))\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 21*f + 16*f + 1443 = 0, -4*f + 1083 = 3*a. Calculate the remainder when a is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uurrur. Give prob of picking 2 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 1\/10  (b) 4  (c) -3.7  (d) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3815, 3814, 3813, 3812?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 - -1211100?\nAnswer: 1211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 900\/40*8\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35599 is divided by 207?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59*d**2 + 59*d**2 - 10*d**4)*(-2*d + d + 3*d) - 2*d**5 + 4*d**3 - 4*d**3.\nAnswer: -22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*u**3 + 3*u**3 + u**3 + 3*u**3 - 11*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 1\/9, 1, -2\/759?\nAnswer: -2\/759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*u = -1150 + 520 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v*(v\/(v**(-15)\/v))\/v)\/(v*v**(-6)*v))**(-7\/5))**(2\/149))**(9\/8) assuming v is positive.\nAnswer: v**(-1323\/2980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**3 + 2*z**2 - 2*z + 2. Let n = 45 + -50. Let y(c) = 3*c**3 + 5*c**2 - 5*c + 5. Determine n*b(f) + 2*y(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 AM and 6:26 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 379, 434, 487, 538, 587, 634, 679?\n\"Answer: -k**2 + 58*k + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39032\/15 or 18?\nAnswer: -39032\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 557.94609 - 558. What is t rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2717 and -13.9428.\nAnswer: -13.6711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -156529174590244*n**2 - 1201071552*n - 2304.\nAnswer: -4*(6255581*n + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -323578 divided by -9517.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63, -67, -79, -105, -151?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-140)\/(-90) - ((1 - 244\/36) + 6). Factor 2\/3*q**3 + m*q - 10\/3*q**2 + 16\/3.\nAnswer: 2*(q - 4)*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-15\/4)\/s)**(-22)*(s\/s**(-23)*s)**(-18) assuming s is positive.\nAnswer: s**(-691\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-5*(sqrt(500) + 2 + sqrt(500)) + 4 + -3)**2)*-1.\nAnswer: -50077 - 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93152.\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 0)*(0*o - o + 0*o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 12:04 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 6. Let f(o) = o**3 + 10*o**2 + 2. Let h be f(i). Solve -4*d = -2*j + 12, -3*j - 6 = -8*j - h*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -805b - 3b3b?\nAnswer: -bb98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**4 + 38*y**3 + 1344*y**2 + 3736*y + 2432 = 0?\nAnswer: -16, -2, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*f*h*o - 2394*f*h - f*o + 4173*f + 824*h + 94656*o wrt f.\nAnswer: 4*h*o - 2394*h - o + 4173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 6:29 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(6\/(-2) + 5). Solve 3*z - 9 = 0, 20 = 2*g + r*z + 2*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69 + -94 - (-8 + 12 - -40).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 6 = 44*p - 46*p, 3 = -4*m + p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3767 + -5873. Let m = i + 16893\/8. Calculate the common denominator of (-1)\/10*(-365)\/(-6) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 38\/987 or 63\/22?\nAnswer: 63\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1\/4  (b) 3  (c) 0.9  (d) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 7.0301.\nAnswer: -35.1505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 + 6*i + 3. Let u be x(6). Suppose -2*g = 10, -u*h - 6 = -0*h + 3*g. Differentiate 6*o**4 - h - 8*o**4 - 2 with respect to o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-5)\/(-50)*55\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-9)\/2)\/((-6)\/8). Let q be 9\/z*(-8)\/(-6). Let x - 2*x - x**2 + 0*x**3 + 1 + 3*x**3 - q*x = 0. What is x?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(-6*w + 3*w + 2*w)*(2 - 2 + 10*w)*(-111*w**2 - 113 + 113).\nAnswer: 2220*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c9 + -3?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 3*l**2 - 3*l + 8. Let r be 2 + 0 + -2 + 14\/7. Let u be r - (-1 + (2 - 3)). What is the units digit of i(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -14*a - 22. Let o be z(-5). Suppose -4*v - o = -8*v. Let g be (21\/v)\/(2\/8). Solve 0 = 2*t - g*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 5964\/63209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -5193 + 2597 + 2596 - 14*x as i*x + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -5*y + 8, -66 = -5*t - 5*y - 26. Solve -5*p - 2*c + 1 + 4 = 0, -t*c = -p + 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 - 0.11. Let d = p + -0.07. Let x = 0.080007 + d. What is x rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56209\/54 at least 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*w + 3*w - 25*w)*(-1864 + 869 + 818) as y + q*w and give q.\nAnswer: 2832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 320\/(-768)*294\/(-105)*(-32)\/(-42).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4475176 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 - 7*z**2 + 6*z + 10. Let k be n(-8). Let y = k - 6. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.156 + -0.056. What is the closest to -0.02 in -0.3, -0.5, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 105203 and 309959?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 10:54 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 954976 to the nearest one thousand.\nAnswer: 955000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -288 + 34351. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 82049681 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3020110100 (base 4) to base 11\nAnswer: 5104a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2724454361 to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + a - 7*a)*(0 + 0 + a) + (2 + 2*a - 2)*(-3*a + 2*a + 2*a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, a: 3}. What is prob of picking 2 b and 2 a?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*f - 168*f**2 + 3*f**3 + 168*f**2 as r*f**3 + q + b*f + x*f**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 + 6. Let p = q + -33. Let g be 0 + -2 + (-6)\/(-4). Which is the closest to p?  (a) -3  (b) 0.3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2 - 2*y**2 + 3*y**2 + 2*y**3 - 3. Suppose 3*a + 1 = -2. Calculate o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 16*l + 20 + 29. Suppose 4*y + 4*x = 52, -3*x = -4*y + 60 + 6. Does 5 divide 62 - (l + y\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9 + (-25)\/((-375)\/60) - 807\/(-72) and 2\/(-6) - 146\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1323230232 + -12110?\nAnswer: 1323212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, a: 3, f: 10, j: 3}. Give prob of sequence ff.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 - 0.7292.\nAnswer: -0.8292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35452689.48401202 - -0.48401202. Let s = v + 35452655.999933. Let h = 33 + s. What is h rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -943*x - 2864. Let f(z) = 234*z + 716. Let g(c) = -11*f(c) - 3*u(c). Find the first derivative of g(y) wrt y.\nAnswer: 255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27 + 38)\/(0 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**2 - 2 + 2. Let n(q) = 36*q**2 - 11*q + 11. Let c(a) = -13*a**2 + 4*a - 4. Let w(p) = -11*c(p) - 4*n(p). What is x(w(m))?\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.47 - -1.318. Let c = 0.048 - o. Put -6, 0, c, -1 in descending order.\nAnswer: c, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52059725 by -1.\nAnswer: -52059725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 231157600 rounded to the nearest 1000000?\nAnswer: 231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1819608792.\nAnswer: 2, 3, 37, 137, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2\/11, -37, 0, 5, 244 in descending order.\nAnswer: 244, 5, 2\/11, 0, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(297\/54*(112\/(-22))\/14)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-156)\/(-20))\/((-6063)\/(-430) - 15).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.12 - 0.88. Let a = -0.26 - l. What is the second biggest value in 0.2, -5, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.9 + -5. Sort 2, -13, 2\/11, m in descending order.\nAnswer: 2, 2\/11, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/279836 and -37\/5666679.\nAnswer: 22666716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 144514769550381 - 277164876520661081453\/1917900. Let s = v - 11205\/2131. Let g = s - -1\/1800. Calculate the common denominator of 51\/41 and g.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10729 is divided by 2666?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12.8 <= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 0*f + 5*f + 4*f. Let w be m(1). Find the second derivative of -w*d - 2*d**4 - 5*d**3 - d**3 + 6*d**3 wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 - 527700410.276.\nAnswer: -527700409.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -29\/9483268?\nAnswer: -29\/9483268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + 9*k - 5. Let j = -5 - -7. Let d(m) = m - 1. Calculate the smallest common multiple of d(j) and o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 2*d**3\/9 + 32*d**2\/9 - 6170*d\/9 + 61336\/9 = 0?\nAnswer: -68, 11, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -11114*m - 9. Let y(d) = -22219*d - 16. Determine -7*t(k) + 4*y(k).\nAnswer: -11078*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*t + 18 = 0, -4*l + 3*l + 2*t = 0. Suppose -5*y - 2*v + 12 = 0, 2*v + 2 = -y + l*v. Solve 5*n + 30 = 5*w, y*w - 15 = -0*w + 5*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -26 in 1, -5, 4\/5, 6, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + 4*w**2 + 5*w + 2. Let l be r(5). Let o be 2\/l*((-20)\/(-2))\/2. Suppose -59 = -0*d - d + 2*x, 4*d - o*x = 230. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 - 19*u**2 + 21*u + 27. Let j be y(-20). Solve -5*b = 8 + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2242 - 2261. Which is the third biggest value?  (a) u  (b) 0  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 3, -4, -5 in ascending order.\nAnswer: -5, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 864 divided by -2.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(605)*-2 - sqrt(605)) + -2*sqrt(605)*-3)**2.\nAnswer: -264*sqrt(5) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.49 - 77\nAnswer: -76.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 66 + -46. Solve u = -5*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/3997856 and -111\/6996248.\nAnswer: 27984992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**3 + 2*v**2 - 14*v + 12. Calculate h(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 93\/2 - 461\/10. Suppose -3*d - 4 = -1. Sort a, d, 9.\nAnswer: d, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 6*x + 4. Let y be w(-2). Let d = -2 - y. Suppose 2*c = -d*j + 8, -5*j = c - 3 - 1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/2*((-32)\/(-28))\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.3?  (a) 7.5  (b) 24  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -844*p**3*r**3 + 25*p**3*r**2 + 2*p**3 + 4*p**2*r**2 wrt r.\nAnswer: -5064*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1\/4, 3\/8, -1\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-250544)\/336*(-54)\/2.\nAnswer: 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 390791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -290\/7  (b) -1.1  (c) 2  (d) -1\/5  (e) 3  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.9 - -3.92. Let s = -74.02 + h. Let x = 79.6 + s. What is x rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - sqrt(99)\/(sqrt(27)\/sqrt(3)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*x**3 - 22*x**3 + 3*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 38 = -2*j, -16*g = -17*g + 2. What is the third derivative of 8*s + 16*s - 54*s**2 - 1 - j*s - 138*s**3 + 1 wrt s?\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 26*p**2 - 6. Let w(j) = -155*j**2 + 35. Calculate -35*s(m) - 6*w(m).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6582, -9553.\nAnswer: -9553, -3, 6582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-26) + (-6)\/(-39). Suppose 5*g + 25 = -2*b, 4*g + 6 + 14 = j. What is b rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 24*c + 72. Let m be b(0). Suppose -m*h = -83*h + 11880. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42647501 a multiple of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -28945, -28979, -29011, -29041, -29069?\n\"Answer: q**2 - 37*q - 28909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 314?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u - 1. Let t be q(-2). Let w(d) = d**2 + 3*d + 1. Let k be w(t). Let f = 13 - k. Solve 4*i = f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1414350, -2828700, -4243052, -5657406, -7071762, -8486120, -9900480?\n\"Answer: -m**2 - 1414347*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**4 + 3*o**4 - o**4 + (6*o**4 + 21 - 21)*(-1 + 1 + 3) - 2*o**4 + 3*o**4 + 0*o**4.\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -100, -132, -160, -184, -204, -220, -232?\n\"Answer: 2*c**2 - 38*c - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73.0343*-0.078.\nAnswer: 5.6966754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/1232 and 43\/1694.\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 4*n**3 - 2*n**2 - 4*n - 4. Let t(w) = -w**3 + w + 1. Suppose 20*r = 27 - 7. Suppose 4*i = 21 + 3. Let b(m) = i*t(m) + r*o(m). Factor b(k).\nAnswer: -2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84868 and 57589.\nAnswer: 1612492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22801\/(-755)*(-1)\/(-54) and -187\/240?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 8*b**2 + 14*b - 3. Let q(x) = 3*x**3 + 45*x**2 + 3*x + 40. Let m be q(-15). Calculate k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-16) + (-24)\/(-16). Which is smaller: l or -2\/1307?\nAnswer: -2\/1307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000262254 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4656*h*l**2 + 44*h*l - 114978*h + l**3 - 10 wrt l?\nAnswer: -9312*h*l + 44*h + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*q + 145*q = -9. Suppose -5*u = 4*o + 16524010, -5*u + 16523990 = -o - q*o. What is o rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 26 + 96. Let k = 48 - 43. Suppose 41 - 3 = k*z - 4*m, -2*z + 2*m + 14 = 0. What is the lowest common multiple of x and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cuccucu. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9 - 198\/55*10\/6. Which is the nearest to 1?  (a) 1  (b) n  (c) 0  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from bggebbcgsghhhbbbebh.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**3 - 2 + 2 + (-4 + 4 - r**3)*(3 - 2 - 2).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from illimlmuuiuiuxiidx. What is prob of sequence imxl?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*i - i = 0. Suppose i*w = -4*w + 400. Is ((-6)\/(-15))\/(4\/w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42416630 is divided by 192.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from euxuxuuuexx. Give prob of sequence ueue.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 38494672 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + -2 - ((5 - -15) + -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**4 + 7*c**3 - 7*c**3)*(-4 - 7 + 5) - c**4 + c**4 + 3*c**4 + (-2*c**2 + c**2 + 3*c**2)*(c**2 + c**2 - 5*c**2).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 6*l**3 + l**2 - l - 1. Let p be d(-2). Let s = p + 75. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19279328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 502 is divided by 381.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (24\/(-7))\/((-6)\/42*1). Let f be (-102)\/(-9) - (-16)\/b. Let g = 4 + 2. Calculate the highest common factor of g and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - 6*s**2 + 19*s + 125. Suppose 29*o - 31*o = 10. Let g be n(o). Solve g*x = -3 + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.914774 microseconds to minutes.\nAnswer: 0.0000000319129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -7288 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t - 9. Let b be i(-9). Let w(p) = p**2 - 2*p - 2. What is the remainder when b\/(-1)*68\/(-12) is divided by w(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h + 2 = -13*h, 5*h - 8 = -3*o. Let g = -0.1 + 2.1. What is the closest to 0.1 in o, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j + 5 = -37 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/18)\/((-157)\/(22137\/3760)*3\/2).\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y**2 + 6*y**2 - 4*y**2)*(-1 - 1 + 4).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -6.4. Suppose 7*f - 4*f = 12. Let q = -12784 - -12799. Which is the second biggest value?  (a) q  (b) o  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -284 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 50749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + 5*((sqrt(637) + 2*sqrt(637))**2 + -1)).\nAnswer: -85974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (175\/1085)\/((-255)\/(-102))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -34?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 265, 549, 839, 1135, 1437, 1745?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 480 - 489. Sort 3\/4, 0.4, u, 2 in increasing order.\nAnswer: u, 0.4, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 5:37 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-3)\/((-3)\/12*-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 529 = -3*j - j, 2040 = 4*p + 3*j. Suppose -2*h + 5*o = -22, 0 = -12*o + 16*o + 16. Let q be 1044\/p + h*-2. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -610234, -2440886, -5491958, -9763450, -15255362?\n\"Answer: -610210*u**2 - 22*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 96, 98, 100?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 23 in 1, 0.5, -2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18078 and 5853408?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -3, -1\/3, -27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 2*b**2 - 213100*b + 5676451250 = 0?\nAnswer: 53275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1703646511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 216787.563 microseconds to days.\nAnswer: 0.0000025091153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -17200 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-10))\/((3\/90)\/(6\/(-24)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/29314494 and 107\/731556?\nAnswer: 410402916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -2\/13713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/16)\/((-4)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -4, 2, 1 in decreasing order.\nAnswer: 2, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 39271 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2091962*z**2 + 1293860*z.\nAnswer: -4183924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-1 - 0) + 32 + -33 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 5. Let b = 8 + -3. Solve -4*c - j = -b*r, -2*r + c = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d6c (base 14) to base 4.\nAnswer: 1110030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - n + 32. Calculate the remainder when 127 is divided by i(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 6:11 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 11 = -6. Calculate the lowest common multiple of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1566 and 17748.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 - -2. Suppose 3*o - b = -12. Suppose -5*x = -0 - 15. Solve o = x*f - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 435, 964, 1481, 1980, 2455, 2900, 3309, 3676?\n\"Answer: -v**3 + 536*v - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -19, -5 in descending order.\nAnswer: 2, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 12:25 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.4 - -21.6. Let o = 6.3383 - 29.33868. Let i = x + o. Round i to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185355817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - 4. Let v = p - -10. Let u(a) = -10*a**2 + 16. Let x(b) be the first derivative of 2*b**3\/3 - 3*b + 1. Calculate v*u(n) + 16*x(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1318*u - 17329 + 672 = 4431 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 37 + -2671?\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196015 is divided by 4170?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 7\/(-4))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 77 = 35*y + 76. Sort 3, 25, -11, 0, y in decreasing order.\nAnswer: 25, 3, 0, y, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 567266 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**2\/19 - 396*c\/19 + 19602\/19 = 0?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**4\/4 + c. Let h(y) = 8*y**2 - 5*y - 5. Let t(m) = 4*m**2 - 3*m - 3. Let i(p) = 3*h(p) - 5*t(p). What is i(q(d))?\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v**4 - 19460*v**3 + 15*v**2 + 58370*v - 38920 = 0. What is v?\nAnswer: -3892, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -309832 by -4.\nAnswer: 77458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 divided by 6?\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4333*c**3*h**3 - c**3*h**2 + 98*c**3*h - 321912*c**2*h**3 - c**2*h**2 - 5*h**3 wrt c?\nAnswer: -25998*h**3 - 6*h**2 + 588*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31.0000144 + -31. What is o rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 + o + 2. Let f be c(-3). Let k = 1 + f. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 187503250*f**2 - 139006673*f?\nAnswer: 375006500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9542.5176 hours to weeks.\nAnswer: 56.8007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*b**4 + 0*b**4 + 19*b**4)*(-b + 25*b - 3*b).\nAnswer: 189*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -105 + 111. Which is the nearest to -0.1?  (a) -4\/5  (b) m  (c) -2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 280386286 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 3*z + 96, 151 = -4*z + 5*r + 22. Let d be 3*3*(-20)\/z. Suppose -3*c + 6 = d*b, -2 = -c - 0. Solve b = l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 11 = -2*s, 31*s + 20 = 35*s - 4*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v - 2. Let r(n) = 4*n + 4. Suppose 5*m = -4*c + 39, 5*m = -c - 0 + 36. Let f = -77 - -68. Let o be f\/3*(-8)\/6. Determine m*a(w) + o*r(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -24*s**3 + s + 1. What is the remainder when (-4)\/(-6)*6\/4*143 is divided by g(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1645.7 + -1646. Which is the third biggest value?  (a) -10  (b) j  (c) -0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - f = -199, -48 + 201 = 3*i - 3*f. Let q = 56 - i. What is the greatest common factor of q and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + 1)*(0 - 0). Which is the nearest to 25?  (a) -5\/3  (b) -0.4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from mmyyyymmyymmy.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 12) + 0 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*r**2*x**3 - 756*r**2*x**2 - 4*r**2*x - 7*r**2 + 5*r*x + r + 522*x**3 - 461*x + 15 wrt x.\nAnswer: 36*r**2*x - 1512*r**2 + 3132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27442.66 meters in centimeters?\nAnswer: 2744266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.17 + 0.17. Is p smaller than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1654 and 16.\nAnswer: 13232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (3\/4)\/(((-1350)\/80)\/(-45))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/2 + 4\/(-2). Let w = -2 + 0. Let d = 2 + -2.3. Which is the second smallest value?  (a) z  (b) d  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1330978  (b) 4  (c) 0.9  (d) -2  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(2))*3 + 5)**2*3 - (-4*-2*sqrt(8) + -1).\nAnswer: 236*sqrt(2) + 643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 214 - 214.00191. What is z rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/72 and -13\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 2. Let l(y) = -w - 3 + 0 + 2 - 3*y. What is l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 24*z**2 - 18*z + 77. Let t be m(-24). Let a(k) = -11*k + 509 - t. Let i(d) = 3*d**2. Calculate i(a(l)).\nAnswer: 363*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2086287 + 1377387. Round n to the nearest 10000.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide (16\/4 + -14)\/(1\/(-171))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8486 and -20573961.\nAnswer: -20582447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - k + 2)*(5*k**4 - 3*k**4 - 3*k**4) - 1328*k**2 + 1328*k**2 + 315*k**5.\nAnswer: 316*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/58295 + 72344053\/1224195. Let v = u - 158\/3. Find the common denominator of -87\/2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = -3*w + 15, -w + 3*w + 3 = p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 71, 93, 103, 101, 87?\n\"Answer: -6*d**2 + 40*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -9*p**2 - p - 2. Let l(f) = 26*f**2 + 2*f + 6. Let i(v) = 11*c(v) + 4*l(v). What is the remainder when i(2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1201 + 1022?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (10 - 0 - 8) + -17 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2*i - 4*i)*(-i + 2*i + i).\nAnswer: -4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k + 7. Let l(h) = 12*h - h - 3 - 17. Determine 6*l(v) + 17*x(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(-5*z - 4*z + 22*z) + (-2 - 1 - 1)*((0 - 5 + 3)*(-2*z + 3*z - 2*z) + 3*z - 4*z + 3*z + 2 + 2*z - 2).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0344 + -80.9656. Are j and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4 + 2 + sqrt(448) - (sqrt(448)*3 + -4)).\nAnswer: -64*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 70331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 919 = -14*y + 964, -10 = q - 3*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -75 - -36. Let s = -36 - k. Let i = 70 - 75. What is the third biggest value in i, 12, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 14 = 2*x, 8*x - 431*d = -434*d + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 4*y - 17, -3*g = -5*y + 19 - 3. Solve y*c + 2*w - 12 = 0, 0*w - w = -1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 9 = 3*h. Let d(n) = -n + 2*n + 1 - h. Let g be d(6). Solve -l + 8 = -g*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 32.5 - 30.5. What is the closest to 0.2 in u, -2\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/689801 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/1434 and 71\/375?\nAnswer: 179250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m - 2. Let o be b(-2). Suppose -2*h + o*h = 174. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -938 - -944. Solve -l - 2 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + 366c3?\nAnswer: 366c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (6*((sqrt(10) - (sqrt(490) + sqrt(490)*2 + sqrt(10))) + (sqrt(110)*1)\/sqrt(11)))\/((4*2*sqrt(128) - sqrt(128)) + 5*(1*sqrt(128) - sqrt(128))).\nAnswer: -15*sqrt(5)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*o**4*w**2 - 20*o**4 + 2*o*w**2 - 27*o wrt o?\nAnswer: 48*o**2*w**2 - 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -13*m**2 - 24*m - 28. Let y(j) = -3*j**2 - 6*j - 7. Let x(c) = -2*a(c) + 9*y(c). Calculate x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 smaller than -113\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 679 = 5*h - 5*p, -4*p = 4. Let l = 805\/6 - h. Let z = 164 - 164.1. Which is the closest to z?  (a) -1\/3  (b) 0.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1616 by 101.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -126972, -127014, -127066, -127134, -127224, -127342, -127494?\n\"Answer: -y**3 + y**2 - 38*y - 126934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*k + d, -k + 5*d = 0. Suppose i - y + 35 = 5*i, -19 = -2*i - y. Is i < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 8052?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 830 and 65294772?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 >= 24175\/14587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 114*v**2 - 8*v. Let m(b) = 109*b + 226*b - 551*b + 221*b - 76*b**2. Determine 8*m(a) + 5*s(a).\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 173\/(79926\/3564)*(-1)\/6*-2?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 6*m + 3. Suppose 4*c + 4 = 2*c. Give o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3 = -34. Suppose 5*k - 4*s = 51, -5*s + 9*s + h = 3*k. Suppose 0 = -11*v + k*v + 3508. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -169 + 110. Let j = u + 59. Calculate the remainder when 2 - (139\/(-1) + (j - 3)) is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wjj when three letters picked without replacement from {w: 2, j: 7, u: 4, v: 1, a: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 270 and 1755.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5*u - 46 = 2, 2*u - 102 = -4*k. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -76 + 78. Suppose 4*v = 8, 0*v = -5*c + p*v + 26. Let w(s) = 3*s - 11. Calculate the remainder when 32 is divided by w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175, 36, -103?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1.1 - 10.199\nAnswer: -11.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -79 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 7*n. Let x(d) = 2*d**2 - 4*d + 7. Let o be x(7). Let p be (-4)\/10 + o\/5. Solve -k - 5*v - p = n, -4*v - 23 = 4*k - k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nfnfnscnnpcfpsnc. Give prob of picking 3 f.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -44430\nAnswer: -22215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 3:26 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 384 a factor of 1099392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.3  (b) -0.1  (c) 92  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, c: 2}. Give prob of picking 4 p.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + 6)*(2 + -3). Let h(s) = s - 13. Let v be h(6). Is i bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2901 is divided by 711?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -623*y - 1312. Let b(w) = 631*w + 1313. Let n(c) = -3*b(c) - 2*s(c). Find the first derivative of n(v) wrt v.\nAnswer: -647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 + 8*c + 48. Let j(x) = -2*x**2 - 14*x - 84. Let y(m) = -4*j(m) - 7*q(m). Let b(i) = 2*i + 948. Determine y(b(n)).\nAnswer: 4*n**2 + 3792*n + 898704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 1 + 2 = -y, -5*y - 7 = 2*t. Let x be 1 + y*4 + (0 - -3). Suppose -62*d + 67*d - 755 = x. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 260*l - 1 - 536*l + 221*l. Let q(y) = -4*y. Give v(q(f)).\nAnswer: 220*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -18 + 3*y**2 + 5*y**2 + 24. Let g(x) = 7*x**2 + 5. Determine -5*f(v) + 6*g(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + 104. Suppose 114*g - 15 = l*g. Solve 3 = -h + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001509 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -41*w + 3. Let x(r) = -61*r + 5. Determine 5*x(j) - 8*z(j).\nAnswer: 23*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 543186\/71 + -7651. Find the common denominator of w and -91\/4.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 19 = -799. Let n = -152 - w. Calculate the greatest common divisor of n and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6824)\/3 - 10\/(-15). Suppose -s + 2*d = 3*d - 5, 0 = 2*s - 5*d - 3. Is ((-8)\/12)\/(s\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-4)*10\/3. Suppose 2*b = -r*c - 16, 2*c + 6 = -b - 0*c. What is the lowest common multiple of b and 1 - (-1 - (-2 + 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -683748\/755 < -906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/2)\/((-48)\/64)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*b - 6464 = -689*b - 351*b - 1329 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.08 + 3.08. Let u = -3 + i. Let p = -11 - -6. What is the nearest to u in p, 2\/13, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*v = 21, d + 12 = v - 3*v. Let s be (-18)\/(-4) - d\/(-4). Suppose 3*h - s*h + 21 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -25.53 and 95.65.\nAnswer: 70.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 519745 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 8*a**2 + 2*a - 1. Let m(j) = -12*j**3 - 80*j**2 + 20*j. Let g(r) = 6*m(r) - 60*x(r). Let f(c) = -1. Calculate 60*f(h) + g(h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 61090319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.5 - 28.47715.\nAnswer: -24.97715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of 1\/6*x**4 - 4*x**2 + 1\/20*x**5 + 0 + 5*x - 1\/120*x**6 + 0*x**3. Let p(s) be the first derivative of k(s). Determine p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(405) + (sqrt(405) - (sqrt(405) + 2))*4)*6)**2 + 0.\nAnswer: -5184*sqrt(5) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(200) + sqrt(2) - (-3*sqrt(2) + -4)).\nAnswer: -84*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/45)\/((-16)\/(-10))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 4641513 and 4641511 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 17*p**2 - p + 1. Let h be t(2). Let i = h + -62. Solve -n + 18 = -i*x + 2*x, -4*n = -5*x - 37 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2\/4 + 3474*o + 219264.\nAnswer: 3*(o + 64)*(o + 4568)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**1)\/j*((j*j\/((j**(-9)\/j)\/j)*j*j)\/j)\/j*(j**(3\/2))**(1\/55) assuming j is positive.\nAnswer: j**(1653\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 382 and 181?\nAnswer: 69142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54 - 54. Factor -1\/5*h**2 - 1\/5*h + c.\nAnswer: -h*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 14 - 14 = 0. Suppose -12*h + 1033 = -155. Find the third derivative of d*w**2 - 6*w**3 - 99 + h wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (204 + 170 - 302)*(1 + 2 - g**2 - 5 - 2*g) + 0*g**2 - g**2 + 0*g**2 to the form a*g + o + u*g**2 and give a.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 0.3  (c) 1\/3  (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2161)\/1831 + 0 - -1. Let m = v + 1397223\/102536. Let k = m + 3\/56. What is the common denominator of 43\/6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -3\/28, -1.1, 1.6, 1\/4, -1\/31, 0?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*i**3 - 34*i**2 - 104*i**3 + 32*i**3 + 22*i**3 as q*i + w*i**3 + u + b*i**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*b**2*g**2 + 251960*b**2*g*y - b**2*y - 3*b**2 + 283*b*y + 2*b + 11*y wrt g?\nAnswer: 4*b**2*g + 251960*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 97.3051546 to 0 dps.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*z - 142 + 368 - 127 = 0. Solve -5488\/15 - 28\/5*u**2 + 392\/5*u + 2\/15*u**z = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 544\/24 - (-12)\/9. Suppose -3*m - m + y = -3*h, 8 = -4*m - 5*h. Suppose -c = -m*c + 22. What is the remainder when 38 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - h - 2*h - 2 = -h + 3*c, 4*h + 126*c = 138*c - 104 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 - 7. Let n(c) = 2*c**2 - 4. Let f(z) = 2*z**2 - 2. Let p(t) = -5*f(t) + 4*n(t). What is 6*m(y) - 7*p(y)?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 169 = -3*l, 3*v - 5*l - 109 = 143. Let h = 98 - v. Calculate the remainder when 77 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -157221 >= -157225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48243904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2965 is divided by 1152.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5426 - -5427. Which is smaller: z or 4560?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/5*(-10)\/4. Suppose 0 = -z + k + 298, 5*z - l*k - 1187 = z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 7 + 2*i - 1\/2*i**2. Let n = -5 + 0. Determine j(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7099 - 469 = 0. Suppose -s = -5*d + 965. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.87343 hours in seconds?\nAnswer: 219144.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 2:43 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4543858 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (10 - 11) - -8) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (15\/6)\/((-3)\/(-6)). Suppose 0 = -l - 3 + p. Let m = l - -4. Calculate the greatest common factor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85108795 = -31*j + 424868795. Round j to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 32 = -6*a + 5*a, -2*n + 36 = -3*a. Let f(c) = -74*c + n*c + 40*c + 51*c + 4. Let t be f(1). What is the highest common factor of t and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 1  (b) 79\/4  (c) -1  (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1207 + 1225 = 4*y - 2*q, -3*y = 4*q - 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17086 (base 16) in base 5?\nAnswer: 11004332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 10:25 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3 + -1*(sqrt(176)*4*3 + sqrt(176) + sqrt(176))*-5).\nAnswer: -9 + 840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + (-16 - 10) + 2 - (-51 + -3).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*g - 1048 = 5*g, -5*y + 4*g = -5295. What are the prime factors of y?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 29976, 3 in descending order.\nAnswer: 29976, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*145.727.\nAnswer: 58.2908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**9\/(o*o**(-3\/4)*o*o)*(o\/(o*o**1\/o))**(-6\/5))**(4\/19) assuming o is positive.\nAnswer: o**(27\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by 18153?\nAnswer: -4\/2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 4:24 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -211*r**2 - 17279847*r - 163790 = 0. Calculate r.\nAnswer: -81895, -2\/211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 4*m**2. Let z(r) = -158*r - 1. Determine z(i(b)).\nAnswer: -632*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*b - 3*b**2 - 3*b)*(-2 - b + 2) - 20*b**3 - 129*b**3 - 10*b**3 to the form r + f*b + j*b**3 + d*b**2 and give j.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1576\/11 + -143. Let z = k + -23\/44. Which is the third smallest value?  (a) z  (b) -0.3  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85)*-1*-5 - sqrt(85))*2)\/((sqrt(330)\/(-2*sqrt(11)))\/sqrt(6)).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.292 - 0.008. Which is the third biggest value?  (a) x  (b) 0.4  (c) 1\/5  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -6*r**2. Let d(y) = y**2 - y. Let g(w) = 5*w**2 - 4*w. Let n(m) = 4*d(m) - g(m). What is s(n(c))?\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27764163, 27764165, 27764167, 27764169, 27764171?\nAnswer: 27764173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 5*j + 38 = 3*d, -4*j - 88 = -4*d. Suppose -d*y + 16*y = -96. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 78*c**2 + 273*c + 542. Let v be m(-2). What is the highest common divisor of v and 264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1727977?\nAnswer: 83, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 822 + -10692\/13. Let z = p - 41\/52. Let v = -14 - -10. Which is the smallest value?  (a) v  (b) z  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 76 - 144. List the prime factors of (-4)\/12 + a\/(-6) + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -50*f + 416*f**2 + 421*f**2 - 838*f**2 - 52*f as l*f + h + q*f**2 and give l.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 5*u**3 + 6*u**2 + 6. Let p be 16*-1 + (-3)\/(-1). Let j(r) be the first derivative of -11*r**4\/4 - 13*r**3\/3 - 13*r + 1. Determine p*q(f) - 6*j(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9029 + -399. Suppose -28*k = -38*k + a. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/26)\/((-3)\/(-1))*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1688 + -1670 - (-1 + -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of 3*h**5\/20 + 9*h**4\/4 + 4*h**3 - 13*h. Find v, given that o(v) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/3 - (-2)\/(5208\/(-17421)). Let s = i + 193\/31. Calculate the common denominator of s and -62\/9.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -12241 - 6072?\nAnswer: -18323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 4 = -2*j + 4, 3*u + 8 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 22*i)*(0*i - 2*i + 4*i) + 3568 - 3568 + 12*i**2 + (-3*i - 2*i + 6*i)*(-6*i + 5*i + 5*i).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q - 4*l - 16 = 19*q, 20 = -q - 5*l. Find i such that q*i + 0 + 1\/9*i**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97 = -2*c - n - 75, -5*c + 56 = 3*n for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3073, -6272, -9597, -13048, -16625, -20328, -24157?\nAnswer: -28112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of o**7\/735 + o**6\/140 - 3*o**5\/14 + 27*o**4\/28 + 65*o**2 + 1. Factor j(k).\nAnswer: 2*k*(k - 3)**2*(k + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, h: 6, x: 1, i: 4}. What is prob of sequence th?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 32320 from 0.07805.\nAnswer: -32319.92195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 402 or 157863\/394?\nAnswer: 157863\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 + 430\/(-20) + 16. Which is the nearest to 1\/2?  (a) -3  (b) l  (c) -9.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(1\/8)*k*(k\/k**(1\/18))\/k*(k**(-1\/16))**(-10\/11) assuming k is positive.\nAnswer: k**(421\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -5, 0.062?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 13 - -2d4?\nAnswer: 2e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/6  (b) -5  (c) 5  (d) 1\/4  (e) 2  (f) 0.0177019\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*x - 26640 = -398*x - 346*x for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l - 11. Let y be p(-11). Let c(k) = 21*k**3 - 10. Let n(v) = -4*v**3 + 2. Determine y*n(m) + 2*c(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 22*g + 37 = -18*g, -2*g - 9 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -52 + (63 + -49 - -6)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 6*o**2 - 21*o + 52. Calculate the remainder when f(-23) is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5154, 11470, 17788, 24108, 30430?\nAnswer: 36754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 36581385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22472565 to the nearest integer?\nAnswer: 4741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -16*y + 289. Let i be m(15). What is the highest common factor of i and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, 0, -6, -0.1, 3 in descending order.\nAnswer: 3, 4\/3, 0, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b - 58. Give q(71).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 67565 (base 9) to base 6\nAnswer: 544005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75733.\nAnswer: 7, 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -274704636 divided by 909618\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of -35*j**3\/3 + 29*j**2\/2 - 21. What is the second derivative of y(p) wrt p?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8448 and 4992.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l + l - 3*l)*(-12*l + 4*l + 45*l)*(1 - 1 - 2*l) to the form s*l**3 + v*l + k*l**2 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**2 - 2*g**2 + 4344*g**3 + 0*g**2 - 4340*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34808 divided by 916.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 + (-4)\/3*30\/20. Let g(h) = -h**2 + 4*h + 5. Let x be g(4). Suppose -x*l = -9*s + j*s + 7175, 3*l - 12 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 + -22. Suppose 5*g = -0*g. Let w = 2 + g. Solve w*i + f = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103906690.\nAnswer: 2, 5, 10390669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 618634993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.7, 204, 1, -2\/3, -0.04 in increasing order.\nAnswer: -2\/3, -0.04, 0.7, 1, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 16*b + 4. What is a(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - ((-1)\/(4\/(-228)) + 1). Let f = p - -61. Let y be 117\/12 - f\/(-24). Calculate the highest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26800783 to the nearest integer?\nAnswer: 5177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 0*v - 4*v = 1619, 2*s + 2*v = -1080. Is -543 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -405040*r**2 + r**3 + 405040*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o**4\/5 + 49*o**3\/5 - 156*o**2\/5 + 164*o\/5 - 32\/5 = 0. Calculate o.\nAnswer: 1\/4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - f**2 + 14*f + 2. Let t be y(-5). Suppose -949 = -t*l + 203. Calculate the highest common factor of l and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 2)*(2*c**2 - 2*c**2 - 2*c**2) - 62*c**2 - 64*c**2 + 108*c**2 as h + q*c + b*c**2 and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 36\/15*(3\/(-80))\/(87\/(-464))\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -5*f**2 + 22*f - 22*f. Let i(w) = -37*w**2 + 3*w + 3. Let u(m) = 1220*m**2 - 100*m - 100. Let l(n) = -100*i(n) - 3*u(n). Determine s(l(j)).\nAnswer: -8000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48231598.\nAnswer: 2, 23, 31, 149, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -598582197*a**2 + 1166122*a - 23.\nAnswer: -1197164394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5557300 by 158780.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - y. Suppose -3*o = -4*o + 1. Let n = 1 - o. What is s(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6737, -13433, -20123, -26801, -33461, -40097, -46703?\nAnswer: -53273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -19*v - 7*v**2 + 3*v + 11*v**2 + 2 + 14 = 0. What is v?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 243828.5 + -243915.49048. Let g = k + 87. What is g rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29239 + -19138. What are the prime factors of n?\nAnswer: 3, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2978 + 2978.05869. Let s = r + -0.058. What is s rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 100 = -2*t. Suppose -5*s + 0 = -t. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 7*k + 6*k. Let p be (-3)\/((-4)\/k) + 1 + -4. Suppose p = -3*o - 5*h + 1878, -6*o + 1274 = -4*o - 4*h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 3, -1, 8, -47 in decreasing order.\nAnswer: 8, 7, 3, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-9)*1\/10.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - 10. Suppose a*p - 98 = 16. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9126, 17262, 25408, 33570, 41754, 49966, 58212, 66498?\nAnswer: 74830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -7*r**2 + 2*r - 1. Let k be a(1). Let m = k + 1. Let h(x) = -3*x + 1. Is h(m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.1528 - -0.3528. What is the third smallest value in 14, 4, n?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.606 and 0.246.\nAnswer: 0.149076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1108*l + 701*l - 1 + 9164*l + 6145*l.\nAnswer: 14902*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5440, -10887, -16334, -21781, -27228?\nAnswer: -32675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-1)*(-54)\/648*4\/3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 4\/(-12) + (-440)\/(-24).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 93 + -91. Suppose c - 5*p = -63, 4*c + w*p - p + 210 = 0. Let x = 135 + c. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 - -1. Let i = -543 + 544. What is the fourth biggest value in o, 0.5, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -752462860.99999993 + 752462866. Let f = -10 - -15. Let x = f - s. Round x to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 5 - 316*r**3 - 2 - 6 + 338*r**3.\nAnswer: 22*r**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3 + 0 - -6)*40?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(96)\/(sqrt(16)\/sqrt(4)) - sqrt(24))*6)\/(-3*sqrt(8)*-6*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 136 = 2*d, -10*d + 79*z - 81*z + 740 = 0. What is the remainder when 507 is divided by d?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17968 is divided by 4492.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 5:13 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -5 + 6 - (-179 - -190)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (11\/4 - 3\/(-12)) + 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 433299 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.06927 + -0.26927. What is the closest to -41 in g, 1\/7, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 5*p + 3. Let z(n) = -14*n - 8. Suppose -3*y - 14 - 28 = 0. Let u be y + 0 + -12 + 15. What is u*b(q) - 4*z(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 2)*(37 + 2*o + 2*o - 35).\nAnswer: 8*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10828 - -10856. Solve 0 = 252*p - 256*p - i for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v - 7*v + 2*v. Let r(t) = 9*t**2. Give r(i(x)).\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 43 + -54 + (0 - (-4 + 0 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 220147399 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/532 and 57\/48356.\nAnswer: 918764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*o - 256 = -111 + 83 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 154473.17 rounded to the nearest one hundred?\nAnswer: 154500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.18 + -0.12. Suppose -2*w = w + 42. Let o be (-7)\/w*(-1 - 0 - 1). Sort 2, o, l in decreasing order.\nAnswer: 2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*r + 2*c + 25, 4*c = -3*r - 25. Let o = r + 35. Suppose -4*u + 4*s = -64, 3*s + 48 = 5*u - o. Calculate the remainder when 27 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - b**2 + b - 3. Let u(d) = 1560*d**3 + 14*d**2 - 14*d + 42. Give -4*u(f) - 56*y(f).\nAnswer: -6296*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.1  (b) -4\/9  (c) -1  (d) -8  (e) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2 + 1644*a - 337842.\nAnswer: -2*(a - 411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(2\/5)\/b**(-9) assuming b is positive.\nAnswer: b**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -162 + 165. What is the remainder when 4 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 186036?\nAnswer: 2, 3, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2078700)\/(-109512) - (-3)\/162?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 33824*-9\nAnswer: -304416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -104 - -258. Let t = k + 225. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 453 and 5.\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of 11*p**5\/60 - p**4\/3 + 5*p**3\/6 + 5*p**2. Let u(f) = 5*f**2 - 4*f + 3. Let m(o) = -3*l(o) + 7*u(o). Is m(5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 16, i: 2}. What is prob of picking 1 i and 3 c?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-111)\/148*(-21)\/(441\/70))\/((-7)\/(-84))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2892*s**2 - 16*s + 2*s**4 + 0*s**4 - 2894*s**2 in the form u + o*s**4 + n*s**2 + j*s + w*s**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 791981, 791948, 791899, 791840, 791777, 791716?\nAnswer: 791663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -142 - -1705\/12. Let u(g) be the third derivative of -l*g**4 - 2\/3*g**3 - g**2 + 0*g + 0. Determine u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 58 - 81. Let y be r*3*(2 + -3). Suppose -6*v + 7*v = y. Calculate the greatest common divisor of 46 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61 - (53 - (-2 - 22)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2196 - -8889\/4. Let x = -26 + i. Put x, -0.3, -1 in descending order.\nAnswer: x, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1449, -3642, -7317, -13218, -22089, -34674, -51717?\nAnswer: -73962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 15915052, 31830100, 47745148?\n\"Answer: 15915048*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 913.7607ml to litres.\nAnswer: 0.9137607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-6)*(2 - -1). Let r(t) = -t**2 + 4*t + 3. Let n be r(4). Suppose -b = -c + n. Solve 4*m - 20 = -3*q, c*m - 20 = 4*q + m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/2 + (-153)\/(-34). Let i be o*1\/10 + 1\/(-2). Suppose 14*j + 1 - 57 = i. Solve -25 + 5 = -j*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30 by -30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.8569 - -0.1431. Which is the closest to z?  (a) -18  (b) 0  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -92 - -89. Let n be p\/(-9)*12\/10. Factor 2\/5*j**3 - n*j + 0 + 0*j**2.\nAnswer: 2*j*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(((sqrt(96)*-2)\/sqrt(8) - sqrt(12)) + (-2*sqrt(48) - sqrt(48)))\/(sqrt(4) + (1*sqrt(12))\/sqrt(3) + sqrt(12)\/sqrt(27)))**2.\nAnswer: 78732\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -98 + 39*o - 40*o + 76. Calculate y(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 512556506?\nAnswer: 512556504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48 and 338336?\nAnswer: 1015008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -13*j - 11. Let w(y) = -y + 1. Let b(r) = -r - 12. Let g(z) = b(z) + 6*w(z). Determine -11*g(t) + 6*o(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -94375 - -170336. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1555062681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 16*b**5 + 20*b**4 - 120*b**3 - 20*b**2 + 104*b = 0.\nAnswer: -13\/4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k**2 + 13*k - 23. What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68575 is divided by 22856.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 3*d - 2. Let j be (-1*(-3)\/(-10))\/((-138)\/(-575)). Which is the second smallest value?  (a) 2\/5  (b) j  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.2321 * 0.16.\nAnswer: -0.517136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 206 + -121. Calculate the highest common factor of 25 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 4, -s = -3*y + 8. Solve 13 = f + 4*z, 0 = -f + 5*z + y - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.5 + -4.5. Which is the third smallest value?  (a) -0.2  (b) -3\/4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.11 and -22819415?\nAnswer: 2510135.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrirrrrrrrrr. What is prob of sequence rr?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 5*a - 402. What are the prime factors of a?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 11*h + 72. Calculate the lowest common multiple of d(-6) and (-1 + 62\/6)*(-93)\/(-62).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*c**4 + 88*c**3 - 39*c**2 - 783*c - 972.\nAnswer: (c - 3)*(c + 4)*(4*c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 374618.6 tonnes in nanograms?\nAnswer: 374618600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/3)\/((-4)\/54). What is the greatest common factor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + 1 - 9 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -83.61 - -83. Let d = k - -0.01. Let r = 0.7 + d. Are -1\/5 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 717 - -3373?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 196\/42*(1 - 1\/(-2)). Let o(x) = -x**2 - x + 1. Calculate o(c).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 10*l + 7. Let x be k(8). Let a = -7 - x. Suppose 7 = 4*q - 3*w - 9, a*w = 2*q - 6. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (60 + 0)\/(6\/(-100)). Let z(s) = -2*s - 7. Let d be z(-5). Let l be (-522 + -1 + d)*m. What is l rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3730 = -24*m + 1382. What is the remainder when m is divided by 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.087218689 - 0.36.\nAnswer: -0.447218689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 622364 is divided by 136?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Does 207 divide 175645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 24281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1374 and 5.\nAnswer: -6870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 1 = 1. Let g(w) = -4795*w - 4802. Let t be g(-1). Which is the smallest value?  (a) l  (b) t  (c) 3\/8  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**14)**(-36)\/(j\/j**(2\/9)*j*((j\/(j*j\/((j**14\/j)\/j*j)))\/j)\/j*j) assuming j is positive.\nAnswer: j**(-4651\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = -r + 135. Let s = -246 + r. Solve -s = -4*i, -2*u + 2*i + 7 = -i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30352 and 35336.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 8.1, -19052 in increasing order.\nAnswer: -19052, -2, 1, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + 28 - 25)*(0*y**2 + 3*y**2 + 0*y**2)*(18*y - 18*y + 3*y**2) + (6 - 5 - 3)*(y**3 - y**3 - 2*y**4).\nAnswer: -176*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3 - 3947704*q**2 + 1948120863162*q - 74022892425324.\nAnswer: 2*(q - 986907)**2*(q - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5393106.\nAnswer: 2, 3, 299617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 4  (b) 93  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34 + -34. Let v = 3 - d. Suppose 4*y - v = -g, 4*y = -3*g - 0*y + 9. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05073328598 to 4 dps.\nAnswer: 0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w + 5*w - 5*w + w - 1. Let t(a) = 4*a. What is -2*s(i) + 3*t(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g + 151702*m = 151699*m - 81, 8*g - 14 = m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 + 71 = -3*x. Let g = x + 109. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2*s)*(-7 - 4 + 20) + (-4 + 0 + 5)*(0*s + 0*s - s) + 0 + 0 - 3*s to the form b*s + a and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 6) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/396 and 149\/288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3611623 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/7688 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 28\/(-22) + 26 + -22. Let m = y + 48\/55. What is j in 2\/5*j**2 + m - 12\/5*j = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/3)\/((760\/19)\/(-10))*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*q**3*x**5 + 74*q**3*x**3 - q**3*x**2 + q**3 - 19*x wrt x.\nAnswer: 120*q**3*x**2 + 444*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 2, e: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 57 - -0.10518.\nAnswer: 57.10518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3887*j - 5664 = 4123*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 69 - 5a?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of h**4 - 248708*h**3 - 2*h**2 + 5*h - 18464142?\nAnswer: 4*h**3 - 746124*h**2 - 4*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1220\/1179 + 15040\/8253. Determine i, given that -2*i**2 - 6\/7 - v*i = 0.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 20 = 8*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 4, m: 3, s: 2, c: 9}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5, -12, -31, -68, -129?\n\"Answer: -h**3 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {y: 5, p: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 161029963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t**3 - 2*t**2 + t + 2. Let s be k(-1). Let v be -11*s*(-4)\/8. Suppose 43 - 47 = -p. Solve -4*c + v - 3 = 0, 0 = p*g - 5*c + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (33\/45)\/11 + 7\/21\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 529, 1328, 3833, 9004, 17801, 31184?\n\"Answer: 160*g**3 - 107*g**2 + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-4*((sqrt(12)\/sqrt(4)*2*5)**2 - (5 + sqrt(12) + -2))*-2.\nAnswer: -64*sqrt(3) + 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2324*x + 2325*x - 12 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 139.82808 nanoseconds in minutes?\nAnswer: 0.000000002330468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3285 and 5715.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -23*o - 128. Let y(p) = 49*p + 241. Let h(i) = 9*m(i) + 4*y(i). Calculate h(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**4 + 676*m**3 + 71794*m**2 + 2305520*m + 2234400 = 0 for m.\nAnswer: -140, -57, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 8 + 7. Suppose -3*v = -j - j - 6, -b*v - j = 3. Suppose v = -2*d - 3*d + 270. Calculate the greatest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 + -3 - (7 - (83 - 29)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 10*b - 21. Let n be 26\/12 - (-3)\/(-18). Let m be y(n). Let k be 2*(1\/1)\/28. Is k at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide -394*(0 + 2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.423 times -0.4?\nAnswer: 0.1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 3. Suppose m*g - 4*w - 18 = 0, 2*g + 1 - 3 = -4*w. Solve 4*z - 19 = 5*h, g = -2*h + 2*z - 3*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j + 1. Let c(o) = o - 1. Let h(w) = 4*c(w) - q(w). Let t(f) = -7*f**2 + f + 1. Let v be t(-1). Let x(u) = u**2 + 6*u - 3. Let d be x(v). Give h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 6*x - 552. Suppose -x = -2*o + 20. List the prime factors of o.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, r: 3, h: 2}. What is prob of sequence rh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3106.18 rounded to the nearest ten?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 299 - 212. Is 86 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/12)\/((-24)\/(-9)). Let z = 15 + -50. Let k = z + 176\/5. Put -5\/6, w, k in descending order.\nAnswer: k, w, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3d7423 (base 14) to base 7\nAnswer: -24062243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-25)\/(-2)*(-28)\/(-5). Suppose -5*g = 2*p - 31, -3*g = 5*p + 2*g - l. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 5*y**2 - 3*y + 4. Determine t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171 = -4*q + 109. Let b = 157 - 139. What is the remainder when q is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 270.7558 hours?\nAnswer: 974720880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133 = 3*w - 3*b + 175, -12*w + 4*b - 128 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 divided by -848864.\nAnswer: 53\/848864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, g: 5, j: 1, i: 2}. What is prob of picking 1 g and 1 b?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1055 + -16576?\nAnswer: -15521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1830501*w**2 + 1927701*w.\nAnswer: -3661002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**12)\/r**(-1)*(r**(-10)*r)\/(r\/(r**(-1\/14)\/r)) assuming r is positive.\nAnswer: r**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, a: 1, d: 1, b: 1}. Give prob of sequence lai.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - -3 - -7 - (4 + (0 - 1) + -51)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2021210112 (base 3) in base 10?\nAnswer: 45050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 605064 and 5610.\nAnswer: 33278520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 - 26. Is (-3862)\/((-2)\/6 - (-10)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 81 = -2*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1978581.\nAnswer: 3, 11, 59957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 0.3, -43746, 4, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.17 and 22.8.\nAnswer: 3.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddqd when four letters picked without replacement from {d: 6, q: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-44420)\/(-16) + (-15)\/(-20). Suppose -b - 3025 = -6*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, 67, 114, 179, 262, 363, 482?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(-2*sqrt(252)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -3*g**4 - 2708*g**3 - 7203*g**2 - 2698*g + 1800 = 0.\nAnswer: -900, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide (-2 - 1089\/(-6)) + (-20)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 79*j + 17 = 76*j, 3 = d - 2*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 11. Suppose -3*q = w - 21. Suppose 11 = -q*l + 106. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/(4*3\/24) + (-12177)\/(-12423)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1756\/3 + 2305655\/3939. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 2*(sqrt(176))**2 + (sqrt(99) + sqrt(99) + -1)**2 - (1*sqrt(11) + -4 + sqrt(528)\/sqrt(3)))*1.\nAnswer: -16*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 3, 27 in decreasing order.\nAnswer: 27, 16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 AM and 10:38 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 446882640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 5 + 4 + (-2 - 1 + 4)*(0 + 2 + 0) - 25 + 20 + 12 - 1 - 1 + 0)*(2*a**4 + 0*a + 0*a) as t + r*a**4 + d*a + f*a**3 + u*a**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l**2 - 6*l + 6. Let k(w) = 9*w**2 - 17*w + 17. Let x = 10 - 6. Suppose x*m + f - 5*f = 52, 3*f = m - 5. Give m*j(r) - 6*k(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 153010 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -3*t**3 + 494*t**2 + 1171*t - 327. What is m(167)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.02 + 0.08. Let g = -443 - -446. What is the smallest value in -4, k, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71 + 48 + 93)*(-2*i + 3*i - 3*i).\nAnswer: -140*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 280 and 175.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7387744.\nAnswer: 2, 7, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 479 + 286 = 5*t. What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7126 + 0?\nAnswer: -7126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -58*p - 88. Suppose -4*d = 5*k - 3*k - 194, 4*d + 16 = 0. What is the remainder when k is divided by z(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*o - o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-2*(sqrt(405) - (1*sqrt(405) + -2)**2 - (sqrt(405) + -1 + sqrt(405) + sqrt(405) + -1))*1 + -4 + 2.\nAnswer: -3258 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 757290?\nAnswer: 2, 3, 5, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 - 52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8353*i*v*x**3 - 5057*v*x**3 wrt i?\nAnswer: -8353*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z - 2. Let f(c) = c**3 - 3*c**2 - 2*c + 3. Let q be f(3). Let k be t(q). Calculate the common denominator of -202*(k\/60 + 0) and -85\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2743798 - 1190685. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-0.0052.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48 + -48. Let o = 0.1 + -0.5. What is the nearest to p in 0.3, o, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/6671?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21657 = 46*w - 73517. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -84b0 + a836?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2772 + -2763. Suppose -5*o - 5*n = -0*o - 95, 5*n = 5*o - 85. What is the third derivative of 18*w**2 + o*w - a*w**6 - 18*w - w**2 wrt w?\nAnswer: -1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-3\/8)\/v**21 assuming v is positive.\nAnswer: v**(-171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -364\/1711 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 390 = -5*z - 100, 0 = -4*p - 20. Let w be 4\/z + 1\/3. Let y be (13 - 588\/48) + (-55)\/76. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 15*z + 111. What is r(17)?\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - t = -44, -v + t = -5 + 1. Suppose -v*d = 14 + 18. Is 8166\/d*6\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -523 - -480.8. Let f = g + 27.7. What is f rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2, -263, 3, 0, -2\/9 in increasing order.\nAnswer: -263, -2, -2\/9, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 5*u**2 + 4*u + 4. Suppose 0 = -0*j + 2*j - 2, -j + 9 = 2*b. Let p be q(b). Find the first derivative of -2*k**p + 4*k**4 + 4*k**4 + 1 wrt k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 288, 2 in ascending order.\nAnswer: -2, 2, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20912 + -20910. Is 137\/42 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k**2. Let d(q) = -q - 45. What is t(d(r))?\nAnswer: -4*r**2 - 360*r - 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - 35*w - 41. Let b be l(26). Let k = -270 - b. Put k, -9, 3 in increasing order.\nAnswer: -9, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6724140 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -3 - (-9 + 1). Suppose 2*j + 249 = 4*z - j, i*z + 2*j - 254 = 0. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -174 - -101. Let m = d - -61.7. Let b = m + 11. Is 1 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 421 is divided by 108.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-u - 1 + 1)*(17 - 5 - 8) + 3*u - 5*u - 2*u)*(3 - 1 - 1).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-321)\/214*(-129)\/(-9))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1679 + 1 - (-99 - -101)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ibyssb. What is prob of sequence yibb?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2002046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-10)*(-57)\/(-38).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of n**3\/6 - 7*n**2\/2 - 55*n - 1. Let v be z(8). Solve v = 5*d + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7471 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105 - 2*t + 4*t + 105.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -468 = -124*c - 96. Let j = 5 - 14. Put c, j, -1 in increasing order.\nAnswer: j, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 117588 and 7872?\nAnswer: 1881408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 653 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (8349\/242)\/(12\/(-8)*1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 286*d**3*x**5 - 6*d**3*x**2 - d**3 - 391*d**2*x**2 + 4*x**5 wrt x.\nAnswer: 17160*d**3*x**2 + 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -110 - -62. Let t = x - -48.1. Let p = 29.4 - 29. Sort t, -0.3, p.\nAnswer: -0.3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of -1219*q**7\/210 - 1985*q**3\/2 - 4934*q**2. What is the first derivative of i(o) wrt o?\nAnswer: -4876*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -336.99819 - -337. Round x to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = 3*q - 12, -12269*q + 12273*q = l + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 14*v. Let g(c) = 78*c**2 - 1. Determine f(g(h)).\nAnswer: 1092*h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of -2*9\/(-24) - (-16359)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261 = -9*o + 540. Calculate the highest common divisor of 248 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 77231270, 308925087, 695081448, 1235700353, 1930781802?\nAnswer: 2780325795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -24544646 divided by 18358\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 147*i + 141*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p + 14. Let s be t(-10). Suppose -r = 4*r - 80. Let a = s + r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**2. Let o(d) = 1514119*d**2. Determine o(u(c)).\nAnswer: 6056476*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -879*w + 72 = -870*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -24*c**3 - 444*c**2 - 202*c + 189. Determine g(-18).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 + -83 - (3 + -34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 139220 times 0.107\nAnswer: 14896.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -24, -67, -138, -243, -388, -579?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-27)\/(-3)*(-13737)\/(-19). Let z = -4146 - -10653. Find the first derivative of 31*o**2 - 7 + z*o - x*o wrt o.\nAnswer: 62*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130012222 + -1330201?\nAnswer: 122022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 + 237386*p + 14088028249.\nAnswer: (p + 118693)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -4226957*x. Let z(u) = -u**2. Determine m(z(c)).\nAnswer: 4226957*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 242676 and 633582.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 3. Let k(s) = 6*s - 11. Let y be k(5). Suppose 3*z - 37 + 22 = 0. Solve u + y = -z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 5*i - 2. Let b(s) = 6*s - 2. Let x(o) = 4*b(o) - 5*y(o). Let q be x(-3). Solve 0 = -2*u + 3*v + 2*v + 10, 0 = 5*u - q*v - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-3)*3*4\/(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 - 3*b**2 - 5*b + 5. Let g be p(4). Let y = -4.385 + -0.015. Let m = y + 0.4. Sort -2, m, g in descending order.\nAnswer: g, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**3 + 124*c**2 + 272*c - 1024 = 0.\nAnswer: -4, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 133 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 7*d. Let j(g) = g**2 + 2693*g. What is j(t(h))?\nAnswer: 49*h**2 + 18851*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3336 + -2324. Suppose -5*m - j = -w, 2*m + j - 91 = 315. List the prime factors of m.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-13)\/(-3))\/(15\/285). Let k = b - 81. Factor 18*c**4 + 0*c**3 + 0 + k*c - 6*c**2.\nAnswer: 2*c*(3*c - 1)**2*(3*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.026789km?\nAnswer: 26789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 2 + 1)*(-2*f + f + 2*f) - f - 2 + 2)*(-408 - 8*f + 408) - 44 + 44 - 16*f**2 to the form r + s*f**2 + n*f and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 72629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 797556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*r + 10 = 0, 0 = -3*m + 5*r - 2*r + 15. Sort m, -5, 3, -2.\nAnswer: -5, -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -338423 (base 11) to base 5.\nAnswer: -114210413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1467.3 - -1467.3. Which is the nearest to -2\/7?  (a) 4\/9  (b) 4\/5  (c) 8.6  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 94005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**2 + 3*v**2 - 3*v**5 + (v**3 + 0*v**3 + v**3)*(1 + 2*v**2 - 1) - 3*v**4 + 2*v**5 + 3*v**4 - 3*v**5 - v**5 + 17*v**5.\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*v + 841 = -124 + 110 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -417, -20 in descending order.\nAnswer: -3, -20, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134023437?\nAnswer: 3, 1543, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9649 - -9650. Sort -7, 0, -1, 2, u.\nAnswer: -7, -1, 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1907 + 6149. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4343 + -42130?\nAnswer: -32232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31 + 30. Let b be 3\/3 - (-1 + 1). Suppose -1 - b = -h. Sort 1, h, u in descending order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1135632372?\nAnswer: 2, 3, 7, 113, 181, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 5831700 to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -4*u + 7. Let v(n) = n**2 - 7*n + 2. Let q be v(6). Find the common denominator of 8\/21 + q\/(-12) and j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*c**2 - 15 - 3*c**3 + 5*c**3 + 4 + 5 + 8 - c**4 as d*c**4 + q*c**2 + r*c + g + v*c**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0798 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of o**2*s**4 + 9*o**2 + 6*o - 630748*s**4 + 331 wrt s?\nAnswer: 4*o**2*s**3 - 2522992*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -12\/53015315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 <= 315993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/3))**40\/(r*(r**26\/r*r)\/r*(r\/(r\/r**(-38)))\/r))**(-19\/5) assuming r is positive.\nAnswer: r**(-1501\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from oofofooo?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4922 plus -9301418894?\nAnswer: -9301413972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/40)\/((-3)\/2). Let w = -1073 + 1072. Does w = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -50293 and 0.11.\nAnswer: -50292.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {q: 5, d: 3, j: 1}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -10. Suppose -117*f = -114*f - 2*a + 31, -5*f = a + 43. Let p be (-12)\/2 + (-189)\/(189\/f). Solve -3*r - p = o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (80\/6)\/5*6\/(-4). Let l be (-4)\/n + (2 + -4)*3. Let b = -1 + -2. What is the second biggest value in -4, b, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0, 1\/4, 1\/5 in descending order.\nAnswer: 1\/4, 1\/5, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**6\/180 + j**3\/6 - 9*j**2. Let d(p) be the first derivative of r(p). Let f(z) = -26*z. Calculate f(d(n)).\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s - 21. Suppose 0 = 9169*i - 9183*i + 168. What is l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -382, -6, 1.\nAnswer: -382, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (481 - 471) + 73 + -8.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.4, 0, -225\/16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zpze when four letters picked without replacement from zbbxpebeezeelpeze?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 1:44 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 + 29 = 3*g - 3 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1059*d = 4*s - 1045*d + 46, -44 = s + 10*d for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 414499, 413412, 412325?\n\"Answer: -1087*x + 415586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1167714114 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -5*a + 18. Let l(h) = -6*h + 21. Let x(i) = 4*l(i) - 5*y(i). Let b(n) = -n**3 + 3*n**2. Let m be b(2). Calculate x(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-48)\/15 + 2)*(-95)\/75 and -101\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 12:12 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -43*l**3 - 9*l**2 + 19*l - 4. Let v be m(3). Let h = v + 2995. What are the prime factors of h?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -984, -968, -940, -900, -848, -784, -708?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 4*z - 385, 5*x + 119 = 3*z + 509. Let d = -81 + x. Factor -1\/3*w + d + 1\/3*w**3 + 0*w**2.\nAnswer: w*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.38469 + 0.2.\nAnswer: 0.58469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 118599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/((-135)\/(-12))*6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 11*w**2. Let z(b) = 39*b. Determine z(y(d)).\nAnswer: 429*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 15*l + 17*l**2 + 108 - 207 + 108. Let g be r(-10). Suppose g = 19*n + 39. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1312 + 2)\/(8\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.3213 + 828.7787. What is c rounded to the nearest ten?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -21*i. Let s(q) = -308*q - 2*q**2 + 308*q. Give v(s(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 2*p**2 - 5*p + 4. Let t be d(3). Is (t\/3)\/(16\/(-768)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/(-28) + (-6)\/(-8). Let n be 1\/3*-4*-3. Suppose m = -n*r + 29. Calculate the remainder when 26 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9253006414.\nAnswer: 2, 71, 751, 86767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 283\/(-24) - 1 - (-71)\/(1633\/184) and 121\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f**2*n**3 + 69*f**2*n**2*v**2 + 64*f*n**3*v**2 + 3*n**2*v**2 wrt f?\nAnswer: -4*n**3 + 138*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 512549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 31 = 5*i - 7*a, 2*a + 6 = 0. Solve 5*p + i = 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4133, -0.01, -12 in descending order.\nAnswer: 4133, 5, -0.01, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 79208302 to the nearest integer?\nAnswer: 8900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -173 + -11930569?\nAnswer: -11930742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 120 - 270 = 0. Suppose -v - 13 = -13*c. Let f(j) = -j**2 - 6*j - 4. Let q(z) = z**2 + z + 1. Calculate c*q(n) + f(n).\nAnswer: 5*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 36. What is the second derivative of 4*v**4 + 2*v + 0*v + 4*v - u*v wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 + 6220713*d + 62206830.\nAnswer: 3*(d + 10)*(d + 2073561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3557300 is divided by 1010.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**5 - 16375*b**4 + 57285038*b**3 + 79824224254*b**2 + 23806066954065*b + 23726300031225 = 0 for b.\nAnswer: -557, -1, 8745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -4*a**3 - 3*a**2 - 2*a - 93. Let w(y) = -9*y**3 - 7*y**2 - 5*y - 186. What is 7*d(j) - 3*w(j)?\nAnswer: -j**3 + j - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (0 - -2) + (15 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -1\/2*w**2 + 1\/6*w**3 - 13 + 1\/60*w**5 + 0*w + 0*w**4. Let f(h) be the second derivative of r(h). Calculate f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*i - 432, 4*i + 3*p + 440 = p. Let x = 139 + i. What is the highest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 14*h**2 - 15*h + 12. Let j = 15 - 2. Let b be s(j). Let m be -1 + -1 + (14 - 3)*-1. Is b greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 2. Suppose -2 = -l*r + 7. Find the third derivative of -3*f**2 - f**2 + 0*f**5 + r*f**5 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 * 745713.7.\nAnswer: -22371.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**5)**(-21))**(-13\/3) assuming q is positive.\nAnswer: q**546","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2, -2, -174 in decreasing order.\nAnswer: 2, -2, -3, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.11, 2, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 226726036.\nAnswer: 2, 911, 62219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 116*m + 21. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -65, -148, -235, -326, -421, -520?\n\"Answer: -2*t**2 - 77*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 0*l = 2*x - 3, -4*x = 3*l - 33. Let h be ((-387)\/3)\/(x\/(-4)). Let k = h + 33. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 8:26 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 32, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8157\/7 + 1165. Which is the nearest to r?  (a) 2\/3  (b) -7  (c) 0  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 8*y**2 + 5*y - 14. Let z be t(-6). Calculate the highest common factor of z and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 90, -6, -2537 in descending order.\nAnswer: 90, -6, -2537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 466938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -h**2*p**2 + 58*h**2 - 29257316*h*p**2 - 2*h*p + 368260 wrt p?\nAnswer: -2*h**2*p - 58514632*h*p - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -528*g - 3636 = -18248 - 31852 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2133 + -3813. Let o be 507\/n + 2\/(-7). Let w = 3\/16 + o. Are 2\/37 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 191*l**2 - 365*l - 2472. Calculate w(189).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1536)\/(-1617) + 1590\/(-1749). Which is the second smallest value?  (a) 4  (b) 0.04  (c) r  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.3 + 0.7. Let p = -1.5 - f. Which is smaller: -8 or p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -1, 0 in decreasing order.\nAnswer: 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -4*r - 3*x, 7*x - 3*x + 20 = 4*r. Sort r, 1, -5, -4.\nAnswer: -5, -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ibg when three letters picked without replacement from bbbgbbibib?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 42.61279mg?\nAnswer: 42612790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.9  (b) -50\/7  (c) 2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 7:40 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 551672 and 79882.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 81\/189 - 10564912\/(-14). Suppose j = -m - 245363. Round j to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2102788.\nAnswer: 2, 525697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r - 2*r - 3*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 2*a + 168, -c + 51 = 5*a - 0*a. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52451719.\nAnswer: 52451719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 - 886\/19. What is the smallest value in j, -5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 4:44 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, p: 1, q: 2, r: 6}. Give prob of sequence qp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -155 + 7c?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven fifths of a tonne in kilograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 113942191 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -21614?\nAnswer: -108070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 23231240 (base 6) in base 11?\nAnswer: 451705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 - 6*s + 6*s - 2)*(10 - 14*s - 10) + s**2 - s**2 + 2*s**3 + (-3*s + s + 4*s)*(-3*s**2 + 4*s**2 + s**2) + s**3 - 2*s**3 - 2*s**3.\nAnswer: 17*s**3 + 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 783.0898 + -782. What is w rounded to 2 decimal places?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36\/13 + 226\/91. Let i = 1241\/11 + -113. Put -3, x, i in descending order.\nAnswer: i, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 2) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**2 + 10*f + 1. Let q be l(-9). Suppose 75*z = q*z + 64. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2)\/q)**(2\/15)\/(q**(1\/4))**(8\/5)*(q\/q**(2\/3)*q**(-1\/4)*q*q)\/(q\/q**(-2)*q)**(2\/13) assuming q is positive.\nAnswer: q**(781\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4256 a factor of 537110587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*(-178)\/1*1. Suppose -m - 174 = m. Let a = m + g. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 42, -85, -224, -381, -562, -773?\n\"Answer: -b**3 - 120*b + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 4*p + 2*p)*(-2 + 5 - 1 + p + (-2 + 6 - 2)*(-3*p + 3*p + 3*p) + 5*p - 4*p - 2*p).\nAnswer: -12*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 less than 1292?\nAnswer: 1291.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/48)\/((c\/c**(2\/99))\/c))\/(c**(-13)\/c**18) assuming c is positive.\nAnswer: c**(49169\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/1248 and -151\/6864.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40 and 5376?\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**3 - 26*t + t**3 + 9679*t**2 - 9589*t**2 + 21*t + 4*t**3 + 2*t**4 to the form g*t**3 + i*t**4 + h*t + v*t**2 + a and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 + 3985 = 4*p + 3*u, 0 = -2*p + 5*u + 2061. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -592 + 1165. Let a = n + -561. Solve -10*z + a = -38 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 12\/252025 and 76\/8820875.\nAnswer: 8820875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 411577 and 10?\nAnswer: 4115770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5*g = -0*g - 32, 3*w = 3*g + 24. Suppose q = -q + w. What is the second derivative of -u + u - q*u - 5*u**5 wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zwpz when four letters picked without replacement from {t: 6, w: 1, u: 2, z: 2, p: 4}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 + -9. Suppose -15 = 5*a + 5*n, -a - l = -3*a + 5*n. Let c be 1*(a - 0) + 5. What is the second smallest value in -2, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42 + -20. Suppose 4*g - 110 = 3*g. Calculate the highest common factor of q and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 13263672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i - 168. Let b(t) = 32*t. Give b(d(z)).\nAnswer: 64*z - 5376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 18. Suppose 1 - 31 = -3*w. Calculate the lowest common multiple of i(-16) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 229964.5 litres?\nAnswer: 229964500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82, -376, -1094, -2446, -4642, -7892?\nAnswer: -12406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24516 + -16848. Suppose 57*q = 3*q + j. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 10*j**2 + 4*j + 2. Let v be x(4). What are the prime factors of (9\/6)\/((-3)\/v)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15602 - -26281. What are the prime factors of o?\nAnswer: 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-1) - (-1)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8567\/11 + 778. Let a = -12\/55 - s. Let u = -3.4 - -0.4. Sort u, -0.4, a in descending order.\nAnswer: a, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1189113 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -132, 174, 1284, 3600, 7524, 13458?\n\"Answer: 67*c**3 - 163*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + 3 - (2 + -13). Let y(v) = -v**2 - 4*v + 24. Let r be y(-7). Solve -r*o = -t - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of 49*g**6\/40 + 947*g**5\/60 - g**2 - 18*g. What is the third derivative of y(k) wrt k?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 - -89. Suppose 12 + 30 = 3*n. What is the remainder when l is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15799151549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30030 and 40040?\nAnswer: 120120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - o**2 - o. Let x be r(0). Suppose -n - 4*a = -5*n + 52, -5*n + 3*a + 55 = x. Do n and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 896 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 114*a - 2645. Give t(23).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.2 + -3.37. Put o, 6, 0.3 in decreasing order.\nAnswer: 6, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4701210531 to the power of 1\/3, to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -808501 times -0.3\nAnswer: 242550.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccudsssscucudddducd. What is prob of sequence uu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 0. Let i be (-1)\/(x\/(-6)*-1). Let n = 190 + -192. Sort i, n, 4 in descending order.\nAnswer: 4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 10*t. What is h(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 1098  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-1 + -4) - (-11 + 18) - (-3 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 102259 - 70117. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 295714 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 17b0?\nAnswer: -17ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 170821708 a multiple of 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 867 or 11264\/13?\nAnswer: 867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 11 - 1. Suppose -o*l - 6 = -6*l. Let n be (-4 - 2)\/(l + -3). Solve n = b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w**2 + 38*w - 53. Calculate m(-19).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*q - 10 = 35*q. Suppose 2*i + 2*i = -16, 3*i - 48 = -q*x. Calculate the lowest common multiple of x and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 14524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 4*l**2 + l + 3. Let k be t(4). Suppose 19*j = 29*j + 5*j - 1155. What is the greatest common factor of j and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (98\/12*-2)\/((-1)\/(-9)). Let i = -443\/3 - w. What is the nearest to i in 0.5, 5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2*b + 12 = 0, k + 2*k - 12 = 5*b. Suppose 12 = u + k*d - 7*d, 0 = d + 1. Let m be 147\/u + 2\/(-6). What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of -3*b**6\/10 - b**5\/20 - 21*b**3 - 97*b. Find the second derivative of d(r) wrt r.\nAnswer: -108*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 9 = 3. Let f be (-16)\/96 - z\/(-12). Factor 0*i + 0*i**4 + 2\/7*i**3 + f*i**2 + 0 - 2\/7*i**5.\nAnswer: -2*i**3*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2dd8bd (base 16) in base 3?\nAnswer: 12122122112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3831\/(-33202)*(-2665)\/30?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 390 a factor of 373620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from auuuazuuakub. What is prob of picking 1 u and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 58781 - 29681. Round z to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*k - 48. Let h be k\/16 + (-9)\/(-4). What is the third smallest value in h, 0.4, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r**4 - 15*r**2 - 23*r**2 + 40*r**2 + 5*r to o + j*r**2 + c*r**3 + v*r**4 + y*r and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2141*o - 92202. Determine g(43).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2521 - 15107\/6. Find the common denominator of ((-50)\/(-64))\/(12\/8) and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3aa9 - 6132?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2055 or -90448?\nAnswer: -2055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -14*j**2 + 2*j. Suppose -5*y - 30 = 10. Let i(w) = 5*w**2 - w. Let l(s) = y*i(s) - 3*t(s). Factor l(f).\nAnswer: 2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117659820 rounded to the nearest one million?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 7657*k + 0 - 7660*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n**9*n)**39*(n\/n**(-27))\/(n\/n**(-10)) assuming n is positive.\nAnswer: n**524","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -p, 42*u - 47*u + 25 + 17 = -4*p. Let o be 24\/15*170\/4. Solve -u*l = -78 + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of -y**5\/30 - 7*y**3\/3 - 69. Let h(o) be the third derivative of a(o). Let k(v) = 0 + 0 + 2*v. What is k(h(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12554 + 0?\nAnswer: 12554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nyyfyyfyn. Give prob of picking 1 f, 1 y, and 2 n.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + m**2 - 3336*m**3 - 1 + 5 + 4*m + 3339*m**3 to the form t*m**3 + f + d*m + a*m**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**3 - w**3 + 3*w**3)*(2 - 4 + 6 + 0 - 2 + 0 + (1 - 4 + 1)*(-2 + 3 - 3) - 6 + 3 + 1).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1214460591 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1136334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w + 6. Let o be g(0). Suppose -2*q + 4*i - 128 = -o*q, q - 38 = 5*i. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70 + 5?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, l: 1, w: 2}. Give prob of picking 1 l, 2 i, and 1 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -2*d - 11, -4*d - 3*p + 4*p = 19. Sort d, -2\/63, 3 in descending order.\nAnswer: 3, -2\/63, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) 246  (c) -0.01  (d) 2\/261\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (38\/6)\/(3\/333) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43482 divided by 21741.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8372.394ml in litres?\nAnswer: 8.372394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 21451570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.065 - 0.035. Let r = 21 + -20.6. What is the closest to 5 in r, g, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of -6*u - u**2 - 4\/3*u**3 - 25. Find the first derivative of a(s) wrt s.\nAnswer: -8*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 14.14. Let u = -2.14 - s. Let i = 3 - u. Which is the second smallest value?  (a) i  (b) -5\/4  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10047?\nAnswer: 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 9*r**2 - r - 1. Let c = 468 + -810. Let s = c - -351. Determine n(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8805 + -9058. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/sqrt(343)*2.\nAnswer: 2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 9:06 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -13534?\nAnswer: -13543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*g = -24. Suppose 2*o - g = 16. Let j = -52 - -54. Calculate the smallest common multiple of j and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47043 is divided by 11752.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11.6 - -74.4. Let h = q + -91. Let g = -2.4 + 2. Which is the second smallest value?  (a) h  (b) 0.4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.003 + 87.997. Let s = -88.00000069 + v. Round s to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/(-6) - (-8)\/12. Let z(s) = s**2 - 4*s**2 + 5*s**2 + s + 5*s**2. Let g be z(b). Solve 4 + g = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292 is divided by (-12)\/(-3) + (1 - 1 - -38)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from aevaeeayvze?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + c + 0)*(-3 + 4 - 3) - 3456 + 3456 - 164*c + (-3 + 3 + 11)*(-3 - c + 3) to t + z*c and give z.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-14)*5 - (-2)\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44365 + -28976. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 39\/15 - 12\/20. Let w(p) be the third derivative of p**5\/60 - p**4\/12 + p**3\/2 - 75*p**2. Calculate w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 14 = 2, 3*m = -5*h - 8. Let k(n) = -2*n + 18. Calculate the remainder when (0 - 1)\/((-1)\/28) is divided by k(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4305 + 1635*p**3 - 8598 + 4294.\nAnswer: 1635*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3*-5*(-2)\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 204 and 2?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x - 3. Let y be a(-3). Suppose 214 - 283 = -y*b. Calculate the remainder when 39 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -489*d**2*u**4 - 7*d**2*u - 33*d**2 wrt u.\nAnswer: -5868*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) -4\/7  (c) 782\/163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**4 + m**3 - 1. Let g(y) = 23*y**4 + 15*y**3 + 52 - 8 - 16*y**3. Let n = 12 - 13. Let f(l) = n*g(l) - q(l). Differentiate f(t) with respect to t.\nAnswer: -88*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77254277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 274 + -282. Let s(a) = -4*a**3 - 4*a**2 + 15*a + 19. Is s(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*h**2 - h**2 + 6*h**2)*(-3 + 3 - h) + (71*h + 4*h**2 + 0*h**2 - 70*h)*(-2*h - 4*h + 5*h))*(h - h**2 - h).\nAnswer: 5*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16378 and 1921147.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 39 = -5*l, -g - g + 45 = 3*l. Let p(f) = 172*f - 851. Calculate the least common multiple of g and p(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 AM and 9:07 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/21  (b) -1  (c) 1  (d) 8  (e) -5441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135522463?\nAnswer: 23, 373, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-5*s + s + 2*s)*(3 - 4 - 2) + 5*s - 3*s - 3*s)*(-2 - 6 + 1)*(s**3 - 9*s**3 + 6*s**3) to the form a*s**4 + l*s**3 + d + t*s**2 + r*s and give a.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3\/239 - -2429\/3107. Let u = l + -27\/52. Let w = -195\/28 + 29\/4. Which is the nearest to u?  (a) 4  (b) -3\/2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -5\/13  (c) 4  (d) -20828  (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 70787768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 3:35 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7203 = c - 4842. Let h = c - 216733\/18. Calculate the common denominator of h and 139\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*r + 12*r - 26*r + 37*r - 73.\nAnswer: -7*r - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -6*w + 3. Let z(u) = 7*u - 2. Let x be (-20 + (-112)\/(-8))\/(-1). Give x*d(k) + 5*z(k).\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-5) - (-454)\/5. Let j = -91 + n. Suppose i - 16 = -j*i + 3*r, 38 = 5*i - r. What is the greatest common divisor of i and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 3*y - 6*y - 27 = 0, -4*m + 29 = -5*y. Let t be 10\/(-35) + (-32)\/(-14). Solve -t*x = -5*x - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 2*k = 32. Let n(y) = -2*y. Let a be n(-4). Solve m - a = -r + k*r, 0 = -5*m + 3*r - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, a: 9, c: 7}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 + 15*q**2 - 7*q + 12. What is the remainder when f(4) is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1927795744 to the nearest integer?\nAnswer: 43907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m - 624 = 342. Find the common denominator of (4 - 1)*(-6)\/((-1620)\/m) and 113\/(-12) - (-18)\/24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/6*(6 + 744)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 16271 = 12*t - 11*t, 3*t - 48807 = 2*i. What are the prime factors of t?\nAnswer: 5, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -98848 = -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = -3*d + 15, 3*d = -13*y + 15*y - 9 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -124126 (base 8) to base 6.\nAnswer: -531302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (49 + -18 + -32)*(-1 - -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 3*u + 11 = 0, 3*g + u + 7 = 2*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxkkkkxtxxx. What is prob of picking 1 k and 1 t?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 379730 minus -4?\nAnswer: 379734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - 14*u + 7*u = b - 7, 7*b + 6 = -2*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -21*(6 + (-176)\/24). Suppose 190 = 5*o - 60. Let p = o - y. What is the remainder when 86 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15*(-3)\/(-9)*31.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 7:04 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/1404116 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-2) + -3)*62\/31\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-927)\/(-103) + (-4 - 3*-8)*(-20)\/(-25).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -12*z + 3. Let m(l) = 22*l - 282. Let r be m(13). What is h(r)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (82 + 495 + 117 - 86)*(g**5 + 3*g**5 - 5*g**5).\nAnswer: -608*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of 3\/2*p**2 + 0*p**5 + 1\/2*p**3 + 14*p + 2 + 0*p**4 + 11\/15*p**6. Find the second derivative of o(q) wrt q.\nAnswer: 264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.9 - -40.3. Let b = w + -43.4. Is -3\/17 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/7 - 78\/(-21). Let n = 4 - j. Suppose -2*v - t + 32 = 3*t, -5*t + 25 = n. 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 610 minutes before 6:47 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1202202111 - -22212022?\nAnswer: -1102220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 19 = 2*j, 2*o + 13 = 3. What is the nearest to 1\/5 in 0, 1, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -191 - -184. Let f(h) = h**3 + 6*h**2 - 8*h. Let g be f(j). Solve 3*r = -4*m - 5, -m + 0*r - g = -5*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2323 = -303*l + 3434 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 7980.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1128727435 to the nearest integer?\nAnswer: 33597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -259*u - 29*u**2 - 9*u**5 + 88*u**2 + 7*u**5 wrt u?\nAnswer: -40*u**3 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.7 + -344197?\nAnswer: -344126.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-20)\/(-50))\/(1\/30). Let f(v) = -37*v**3 - v**2. Let w be f(-1). What is the greatest common divisor of z and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 7*l**2 - 983*l + 1434. What is t(139)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4*t - t**3 + t**3 - 8 - t**4 + 4 + 4*t**2. Let y(q) = -q**2 - 2 + 0*q**2 + 3. Let m(u) = s(u) + 4*y(u). Find the second derivative of m(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 1)*((-165)\/110)\/(2\/(-14)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -95*o + 851. What is h(13)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 72 + -68. Solve 8 = -4*k + 3*k - l, l = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50625277.\nAnswer: 23, 2201099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*s - 5*y, -4*y - 7 - 11 = s. Suppose -v = -s*v + 50. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**3\/2 - 35542*f**2 - 355395*f\/2 = 0.\nAnswer: -71079, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 19*f**2 + 20*f + 26. What is d(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8275)\/993*(252\/(-10))\/6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14024 - 14024 - 14*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + y + 129 = 0, y - 87 = -2*n + 6*y. Calculate the remainder when 90 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -9. Suppose 3*q + 26 = 4*v, -a*q + 6*q - 8 = 0. Solve 4*n - v - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -95, -92, -11, 148, 385, 700?\n\"Answer: 39*n**2 - 114*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -6*g**3 + 3*g**2 - 5*g + 2. Let x be (12 + 59\/(-5))*-20. Let m(p) = -7*p**3 + 4*p**2 - 6*p + 3. What is x*y(l) + 3*m(l)?\nAnswer: 3*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {o: 1, t: 1, k: 1, z: 4, s: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 7*u**2 + 3*u + 11. Calculate v(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(1440)*1 + sqrt(1440))\/sqrt(8) + 6*(-4 + sqrt(30)\/sqrt(6)))**2 + 2.\nAnswer: -864*sqrt(5) + 2198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 2:01 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1327\/2 - 659. What is g in -15*g**2 + 0 + 39\/4*g**4 + 6*g + 15\/4*g**5 - k*g**3 = 0?\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1656*c**2 - 55*c**3 - 793*c**2 - 169*c**3 + 88*c**2 + 65*c**3 wrt c.\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-24)\/15)\/((-6)\/45). Suppose o = 4*c - 20. Solve 2*p - 2 - c = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3441*r + 2844 wrt r?\nAnswer: 3441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 2*c - 5*c - 32, 2*t = 5*c - 16. Let o = t - -15. Let y(v) = -21*v**2 + 404*v - 70. What is the remainder when y(19) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 4*l - 110, -17 = -i - 3*l - 2. Which is the closest to i?  (a) -3  (b) 23  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29 + 90. What are the prime factors of j?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 76.992  (b) -2  (c) -3  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {e: 1, y: 1, f: 2, c: 1, v: 3, l: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aalh when four letters picked without replacement from aaaaalhllllllallah?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.56 - -45.06. Let n = -113 - -70. Let y = n + q. Which is the second biggest value?  (a) -5  (b) -4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -1\/403, 0, -0.4.\nAnswer: -0.4, -2\/11, -1\/403, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 + -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20002842 divided by -9.\nAnswer: 2222538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -358871885783.500164 + 358888008949.5. Let f = 16123258 - b. Let p = -92 + f. Round p to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 40*r + 24. Let t(u) = -8*u - 5. Suppose -28*f + 15*f - 65 = 0. Let y(g) = -3*g**2 - 9*g + 6. Let v be y(f). Calculate v*t(a) - 5*l(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 14*i**2 + i + 11. What is the hundreds digit of x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 PM and 1:46 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t - 5124. Let d(z) = 16*z + 25667. What is 2*d(f) + 11*j(f)?\nAnswer: -f - 5030","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40896, 77222, 113550, 149880?\nAnswer: 186212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 10:19 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/3))**(-7))**(6\/17) assuming j is positive.\nAnswer: j**(-14\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*-2*3\/(-10 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/30)\/(21\/((-525)\/(-5)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -548344 and -548329 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4048 + -2347. Let f = t - 6052. Let j = f + 24147. Round j to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 962622850 a multiple of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -1335004400?\nAnswer: -1335004404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**2 + 14*k + 25*k - 2*k**3 + 14*k - k**4 - 48*k to the form j*k**3 + x*k**2 + m*k**4 + h*k + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 87 - 59. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.25385 take away -5?\nAnswer: 78.25385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do -856 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, -13, -26, -27, -10, 31, 102?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18868?\nAnswer: 2, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 - 39*x - 73. Let g be y(-11). Suppose 10*w + 75 - g = 0. What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18253*j - 303057 - 61210 = -3029205 for j.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 3*g**2 - 7*g - 9. Give v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -5*n + 5*y, 5*y = -2*n + 5 + 10. Suppose j = -r - 1, -2*j - j + 11 = -4*r. Sort n, 1, r in ascending order.\nAnswer: n, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16\/12*-1*(12 + -3). Let f be (-4)\/k - (-2)\/3. Let i = -5\/2 + f. Which is the third biggest value?  (a) 19  (b) 0.2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 8 + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 684788348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (50\/10 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.62 - 9.22. Which is the third smallest value?  (a) k  (b) -0.2  (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m + 8. Let d(n) = 2*n - 9. Let x be 2 - (1 + 0)*-2. Let l(h) = x*d(h) + 6*b(h). Let c be l(0). Solve -p - 2*p = c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1926743?\nAnswer: 7, 13, 31, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 102.7185 + 0.1815. Let o = -103 + v. What is the second smallest value in o, -4, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13613 - -14395. Put 0, 0.2, p in increasing order.\nAnswer: 0, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 + 30*k + 29. Let j be n(-29). Suppose 3*i = -3*a + 15, j*i - 3*i = 5*a - 21. Suppose -2*r = 4, 2 = -2*b - a*r + 2*r. Solve b = 3*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7296 divided by -128.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39133\/420 + 559\/6. Find the common denominator of -39\/266 and d.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 1007370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 14*h**2 + 1. Let v(a) = -a - 2. Let o be v(0). Is m(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.4 + 0.37. Let f = 0.03 + b. Let w = 0.2 + f. Is w less than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, w: 4, g: 3, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/1652)\/(-1 - 125\/(-8) - (-2104 + 2118))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2256687 divided by 53\nAnswer: 42579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2*v - 9 = -1, -4*x + 20 = 5*v. Let b = x - 0. Solve -5*w + 5 = -b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/6 - (-102)\/(-36)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 15*x + 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g*t**3 + 5416*g*t + 2*g + 2*t**5 - 906*t**3 - 7*t**2 + 2*t - 1 wrt t?\nAnswer: 6*g*t + 40*t**3 - 5436*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 832009 - -11081439\nAnswer: 11913448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 3:34 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/19, -9838, -334.\nAnswer: -9838, -334, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -2065?\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 250 a factor of 40740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 210008933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**4 - 24440*y**3 + 97840*y**2.\nAnswer: -5*y**2*(y - 4)*(y + 4892)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -28075*r + 89. Let x(i) = -3*i. What is x(h(z))?\nAnswer: 84225*z - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 5*l**3 + 46210*l**2 + 10785565*l + 637528220 = 0.\nAnswer: -9004, -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 - 38*y**2 + 82*y + 73. Determine q(-40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -1750c7c?\nAnswer: -1750c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.038596 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 9123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1)**11*u**(2\/23)\/(u*u**(1\/6)*u)*u**9*u*u**(2\/27)\/u*u*(u**(-1\/3)*u)**7 assuming u is positive.\nAnswer: u**(29387\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k = -132 + 62. What is the smallest common multiple of k and (-350)\/(2\/(-2)) - 1?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*b = -135*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 285 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7371921 or -8?\nAnswer: -7371921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -164 or -1637\/10?\nAnswer: -1637\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02751636 and -6?\nAnswer: -0.16509816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 623 = 227. Let w = j - 200\/3. Let z be ((-2)\/5)\/(2\/(-10)). Which is the third smallest value?  (a) w  (b) z  (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -7*j + 2. Let r(w) = 20*w - 4. Determine 4*r(l) + 11*z(l).\nAnswer: 3*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11978\/3 - -4009. Find the common denominator of 59\/45 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 671 + 1415?\nAnswer: 1a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88245464?\nAnswer: 2, 181, 60943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -923*w - 3. Let l(k) = -18*k. Give a(z) + 5*l(z).\nAnswer: -1013*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1284 - -3.7.\nAnswer: 3.8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -2\/9*u**3 + 0*u - 1\/30*u**5 - u**2 + 0 + 7\/36*u**4. Factor h(w).\nAnswer: -2*(w - 2)*(3*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*k**2 + 30*k**2 - 1 + 1 + 0.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + -8 + 0 + 0 - 185\/(-37). Let h(b) = 1 + 14*b + 20*b - 29*b. What is h(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5149 (base 11) to base 3.\nAnswer: -100100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - g - 3. Let q be d(0). Let w(b) = -b**3 + 83*b**2 + 204*b - 2886. Let z be w(85). Sort z, q, 6, 3 in decreasing order.\nAnswer: 6, z, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 161*h**2 + 2*h + 2. Is 23 a factor of q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**(-4\/3))*n*(n**(2\/21)*n)\/n*n)\/((n\/((n\/n**(-1))\/n))\/n)**(-9\/10) assuming n is positive.\nAnswer: n**(-29\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -5*n**2 - 5*n + 5. Let a(j) be the third derivative of j**4\/24 - j**3\/6 - 59*j**2 + 37. Calculate 5*a(x) + b(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3 + -2)*(1969 + -1).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -178.9 * 0.1795\nAnswer: -32.11255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5*t**2 + 13*t + 14. Let b be u(-2). Let j(v) be the first derivative of 2*v + b*v**3 + 15\/2*v**2 + 11\/4*v**4 + 3. Factor j(x).\nAnswer: (x + 1)**2*(11*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 208.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 92*v**2 + 28*v + 175. List the prime factors of s(-7).\nAnswer: 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -64*m + 16. Let n(z) = 13*z - 3. What is -32*n(c) - 6*y(c)?\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-6))\/(1\/(-4)). What is the units digit of (-1 - g) + (1 - -28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(4\/17))**44*o*o**16*(o\/((o*o**1\/o*o)\/o)*o)\/o*o*o assuming o is positive.\nAnswer: o**(499\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxllxx. What is prob of picking 3 x and 1 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -6 + -4 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + l + 4 = -16, 0 = c + 5*l + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 20 = t, -3*t + 4 = -g - t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 20817*s + 21508*s - 1)*((-4 + 2 + 0)*(0 - s + 0) + 0 + 0 - s) to o*s**2 + m + y*s and give o.\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 1447 = -3*c, 0 = 4*c + 15 + 1. Suppose 8*t = t + g. Calculate the remainder when 80 is divided by t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -3 + 0 + (-4)\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1610, -1615, -1618, -1619, -1618?\n\"Answer: c**2 - 8*c - 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p**3\/7 + 12*p**2\/7 - 15*p\/7 + 6\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 992134 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 76*f**3. Let n(w) = -w**2 + 15*w**3 + 2*w**2 - 30*w**3 - w**2. Calculate -11*n(z) - 2*p(z).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 AM and 4:45 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v\/v**(-22)*v))\/v*v**(-35) assuming v is positive.\nAnswer: v**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-239*a - 176*a + 100*a)*(-13*a**2 + 35 - 35) as f*a**3 + r*a + d*a**2 + v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -132*t**2 - 8*t**4 - 217*t + 7*t**4 + 18*t**3 - 19*t**3 + 133*t**2 - 2 to v*t**2 + n*t**4 + g*t + d*t**3 + m and give g.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g. Let d(y) = 5*y. Let x(i) = -4*d(i) + 25*p(i). Let u(s) be the first derivative of 150*s**2 + 149*s**2 - 298*s**2 - 9. What is x(u(r))?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 680\/(-150) + -2 - (-2)\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27871 - -1477107\/53. Which is the third smallest value?  (a) -0.5  (b) h  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((1 - -2) + -3)\/(-2). Let q = 29023 - 29022. Which is the closest to q?  (a) -6  (b) r  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 82 (base 15) to base 5\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -1. Let b(q) = 3*q**2 + 5*q - 7. Let d(y) = 2*y**2 + 5*y - 6. Let f(k) = -3*b(k) + 4*d(k). Determine f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f**2 + f - 2. Let w(d) = d**2 + 5*d - 8. Let i be w(-6). List the prime factors of v(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 259 a factor of 259740999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 65 and 241363?\nAnswer: 15688595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/1)\/(2\/1). Let j be (-1)\/d + -1 + 3. Let w be (0 - j)\/(1\/(-5)). Calculate the greatest common divisor of w and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 5:44 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5582 + 13618 = 1280*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 30 = -2*i, c = 3*i + i + 39. Let l(a) be the first derivative of a**3\/3 + 9*a**2\/2 + 3*a + 3. What is l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 336*i**4 + 7*i**3 + 18*i**2 + 18*i - 57. Let f(p) = -p**4 - p**3 - 6*p**2 - p. Let a(y) = 3*f(y) + x(y). Find the second derivative of a(b) wrt b.\nAnswer: 3996*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 2. Let d be 12*(-4)\/r - 3. Let c = d - -50. Calculate the remainder when c is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -22.269. What is o rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -71*c**3 + 5*c**2 + c - 2. Let v(z) = 36*z**3 - 2*z**2 - z + 1. Calculate -2*d(w) - 5*v(w).\nAnswer: -38*w**3 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2296, -4592, -6888, -9184, -11480?\nAnswer: -13776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -1. Let y be 10\/(-15)*-3*1. Does 3 divide y + -2 + m + 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0*t*t)\/(((t*t\/(t*t**(1\/5)\/t))\/t)\/t*t) assuming t is positive.\nAnswer: t**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**3 + 792667*w**2 + 157079846888*w - 157080639556 = 0.\nAnswer: -396334, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 12:33 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-110 + 48 - -68) + (-1 - 1) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7370  (b) 1\/4  (c) -3  (d) 3  (e) 3\/5  (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 1752 = 1752 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from hhhhqhhqhhhhqhqqhq?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-171)\/315 - 78\/(-195). What is the closest to 2\/3 in i, -0.3, 15, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37, -35, -31, -25?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 14496*l + 73157. What is p(-5)?\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*h - 13, -2*r + 13 = -3*h. Solve -1 = -r*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-100)*-15)\/((-297)\/(-110))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61 - 57. Suppose w*b = 19*b - 2895. Suppose 3*i = -5*k + b, 0 = -4*i - 2*k + 403 - 155. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*h**2*i - 53*h**2 + 11*h*i - 2*h + 170*i - 147 wrt i?\nAnswer: 5*h**2 + 11*h + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30264782 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.045 - -4.955. Which is smaller: w or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1284 and 896.\nAnswer: 287616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14604085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.69 * 63319\nAnswer: -43690.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2360.03 + 2359.53. Suppose 2*h + 0*h = 0. What is the biggest value in -27, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c - 6. Let o be i(-10). Let y = -4 + o. Let f = -191\/2 + 95. Which is greater: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9423)\/(-120) + 2\/4. Let n = s - 79. Let t = -83\/120 + n. What is the nearest to t in -5, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 2*c - 3*y, 5*y + 5 = -4*c + 4*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -6. Let k = 1.2 - 0.2. Which is the third biggest value?  (a) -4  (b) p  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 5*y**2 + 5*y + 5. Let c(k) = -8*k - 8. What is the smallest common multiple of c(-2) and j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 46*p + 814. Calculate l(59).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 4 + j**2 - 4 - 4*j**2. Let b(r) be the first derivative of -2*r**3\/3 - 18. What is b(k(d))?\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = -p + 5*p, 3*g - 12*g - 59*p - 662 - 184 = -5*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 3. Let z be n(1). Solve 4*c + 6 = -z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of b**4\/3 - b. Let l(g) be the first derivative of -1\/3*g**3 - 10 + 0*g**2 + 0*g. Give l(i(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3536*q + 119560. Determine r(-34).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -5*q**2 - q + 3. Let r(b) be the first derivative of 7*b**3 + 2*b**2 - 13*b - 46. What is 9*i(f) + 2*r(f)?\nAnswer: -3*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7471776 and -1102.2.\nAnswer: -7472878.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -169776 divided by -2?\nAnswer: 84888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 81 + -403\/5. Let z be (-28)\/42*1\/(-3). Which is the closest to f?  (a) 3  (b) z  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*g**2 + 26*g**2 - 7070 - 12*g**2 - 16*g**2 - 17*g**2 as c*g + v + o*g**2 and give v.\nAnswer: -7070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 3073830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/11 in -2, 4, -1\/3, 0.3, 54\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 6 = 4. Suppose -l*n + 4*y - 40 = -6*n, -15 = -5*n + 2*y. Suppose 0*x = -x + 3*q + 473, -4*x - n*q = -1892. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(304) - sqrt(19)) + (sqrt(76)\/(sqrt(4) + sqrt(100)))**2 + sqrt(19))*2.\nAnswer: 199\/18 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210*i + 194 - 1244 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**2 + 0*o**2 + 0*o**2 + (-15*o + 0*o + 7*o)*(-o - 19*o + 2*o).\nAnswer: 146*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276801484?\nAnswer: 2, 69200371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -41 - 929?\nAnswer: -96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -x**8\/112 + x**7\/10 - 2*x**6\/5 + 3*x**5\/5 + 94*x**2 + 2*x. Find f such that c(f) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 21*i + 52. Let b be t(5). Sort -2\/11, 1, -1, b in increasing order.\nAnswer: b, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 + -53. Let l = n - 47. Let u = l + 87. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-4 - 21\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191 + 7 = -4*h. What is the remainder when h is divided by (2\/(-4))\/(-2*3\/144)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3085150.\nAnswer: 2, 5, 61703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 253355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -973\/10 bigger than -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -79*y - 14. Let u be r(-13). Let o = u - 365. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -141, -1108, -3733, -8844, -17269?\n\"Answer: -138*a**3 - a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/g**(-1)))\/(g**(-5\/6)\/g*g))**(22\/5)\/(g**(2\/7)\/g**(-3)*g**(2\/13)*g*g**6*g) assuming g is positive.\nAnswer: g**(-16616\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 + 0.3. Let o be (-104)\/((-37440)\/(-270))*2\/(-6). Let h = 406 + -2429\/6. What is the third smallest value in o, h, -4, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + l = 4*l - 94, 2*h - 46 = -4*l. Let k be h + -3 + 3 + 3. Suppose -9*y - k = -14*y. Solve -y*p = 4 + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -2, -1\/2, -0.2, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 7, x: 8, p: 5}. Give prob of picking 2 p and 1 x.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*v + 3*m, 3*v - 3 - 5 = 2*m. Solve v*t + 18 = 2*k, k + 3 = -0*k - 2*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-5))\/((4\/(-40))\/((-100)\/(-40)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 16bc - -20169?\nAnswer: 21858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4609 + 207367\/45. What is the common denominator of c and 38\/63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*1\/(3\/3)*(-22)\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.062236898 - -28.062235198. Let n = -28 + y. What is n rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2046992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 44 + 11. Is 11 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 44*x + 49*x + 12*x**2 - 13*x**2 - 93*x. Let a(r) = -124*r**2 - 2. Determine f(a(u)).\nAnswer: -15376*u**4 - 496*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -187.8 - -184.8. Let f = -35692908\/221437 + -13560\/2803. Let v = f + 166. Which is the third biggest value?  (a) v  (b) s  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 150*k**4 - 2*k**3 + 13*k**2 - 2*k - 20193?\nAnswer: 1800*k**2 - 12*k + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2. Let n(a) = -a - 3. Let d be n(-5). Let j(b) = 2 + 5*b**2 - 3*b**d - 2. Give j(g(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37.2318 - 37.2. Round n to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 4 = -32 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/(-10))\/(7\/35). Let r be 7\/(-7) + c*1. Let p be 1 - -3 - 80\/r. Solve 4*n - p = -3*a, a = n - 4*a + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-21) + 403\/(-2821)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -245, -291, -391, -563, -825, -1195, -1691?\n\"Answer: -3*m**3 - 9*m**2 + 2*m - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3442210859666 + 2?\nAnswer: -3442210859664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -31443443 + -8564?\nAnswer: -31452007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49699433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 48*w**2 - 3*w - 7. What is the tens digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-6\/5)*((c*c\/c**(-7)*c)\/c)\/c)\/(c**2)**(-10))\/((((c**7\/c)\/c*c)\/(c*c\/(c*c*c**(2\/13)*c)*c))\/(c\/c**(2\/9)*c**(2\/13)*c)) assuming c is positive.\nAnswer: c**(1016\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -3. Let a be (2 - 1)*(c + 4). Find the second derivative of -p**4 - p**4 + a*p + 0*p**4 - p wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 8*r**2 - 2. Let j(t) = -1. Let q(a) = 2*j(a) - k(a). Let l(y) = 5*y**2. Determine q(l(c)).\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -287.\nAnswer: -114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, s: 8, t: 3}. What is prob of sequence ss?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.184 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 8*v + 1\/6*v**4 + 6 + 1\/6*v**3 - 3*v**2. What is the derivative of c(p) wrt p?\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120*k + 78*k + 287700 = 0. Calculate the smallest common multiple of k and 60.\nAnswer: 41100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 10356*g + 9 + 6 - 5186*g - 5202*g.\nAnswer: -32*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*o - 194*o = 60, 6*y + 5*o = 3*y - 79 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31.7212 - 0.0112. Let c = k + -31. What is c rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/117 and -64\/76599.\nAnswer: 995787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3363906 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, c: 2}. What is prob of sequence ecee?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -127, -155?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*x**2 + 125*x + 28*x + 65*x - 2 + 44*x**2 wrt x?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*4\/(-288))\/((-325)\/(-39) - 9).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/3, -58, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -1\/3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1150172, -2300158, -3450144, -4600130, -5750116, -6900102?\nAnswer: -8050088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 a factor of 2695243150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 3*f = -3, 9*d - 6*d = -3*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/(h*((h\/h**(-1\/4)*h)\/h)\/h))\/h**(-6\/11))**(-31) assuming h is positive.\nAnswer: h**(-1767\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3815053883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 5*k**2 + 6*k - 10. Let x(n) = 14*n**2 + 19*n - 29. Let u(p) = -17*l(p) + 6*x(p). Let q be u(10). Solve 3*i = -4*d - q, 6*d + 1 = 5*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -85*r - 502 + 77 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 2*u - 68529 = -11338, -22868 = -2*d + 2*u. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3146\/133 - 444\/19. Put 0.3, k, -0.4 in descending order.\nAnswer: 0.3, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, y: 1, q: 3}. What is prob of sequence qqu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 187, 706, 1581, 2824, 4447, 6462, 8881, 11716?\n\"Answer: 2*k**3 + 166*k**2 + 7*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4*w = 5*w - 6679999, 4*b - 3*w - 26720003 = 0. Round b to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2690 divided by -2.\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -227, 312, 5, 1, -3.\nAnswer: -227, -3, 1, 5, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 v when four letters picked without replacement from {v: 17, x: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 59379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*k + 26 = -4*v - 24*k, -2*v - 22 = 3*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/50, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.16326 - 0.83326. Which is the third smallest value?  (a) -3  (b) x  (c) -1\/6  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(3\/5))**(-13\/7))**(-37) assuming z is positive.\nAnswer: z**(1443\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/14)\/(3\/21). Suppose 6*l = l + 5. Suppose -l = 2*w - 5. What is the highest common factor of w and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1032 - -1036. Let p be (38\/(-21) - -2)*-3. What is the second smallest value in g, 0, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0439 times -800.8\nAnswer: -35.15512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -90497386698 - -15.\nAnswer: -90497386683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 21 + 15. Let f(p) be the first derivative of -1\/4*p**4 + 1\/6*p**s - 2\/15*p**5 - 1 + 2\/9*p**3 + 0*p**2 + 0*p. Determine g, given that f(g) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39418.355 + 40087.40326. Let t = -669 + s. Round t to 3 dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1818415*c**3*g**2 + 5*c**3*g*s + 590*c*g*s**3 + 25*c*g*s - 7*g**2*s**3 + 6*g*s**2 wrt g.\nAnswer: 3636830*c**3 - 14*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 182 + -177. Solve 0*h = q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.05  (b) -0.5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + q + 60 = 0. Suppose 52 = 5*x + s, -3*s + q + 31 = 4*x. Let v(h) = -h**2 + 5*h + 3. Let t be v(5). Solve t*j = x - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2489651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/284218 and -57\/206704?\nAnswer: 2273744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -7*t**3 + 2*t**2 - 5*t - 5. Let z(j) = 7*j**3 - 2*j**2 + 6*j + 6. Let o = 48684 - 48679. Determine o*z(g) + 6*d(g).\nAnswer: -7*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(1\/2))**(3\/11))**(2\/43)*((b\/(b\/b**(-6))*b)\/b**(-1\/2))\/(b**(-4)\/b*((b\/(b*b**(-6)*b))\/b)\/b) assuming b is positive.\nAnswer: b**(-2359\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6424 and 4.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a87 (base 13) in base 14?\nAnswer: -30b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 + 4*b**2 - 5*b - 5. Let w be q(-5). Let u be 8\/w + (-10)\/(-5). Let 0 - 1\/5*a**2 + u*a = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27111.99838 - -27212. Let j = g + -100. Round j to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**2 - 4*i**2 - i**2 + (2 - 2*i - 2)*(1 - 1 - 2*i) + 2*i**2 + 1 - 1 + (0 + 2*i + 0)*(1 - 2 - 1)*(0*i + 2*i - 71*i).\nAnswer: 280*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18452.\nAnswer: 2, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -6*k - 6. Let n(c) = 5*c + 6. Let d(m) = 5*n(m) + 4*t(m). Let y be d(-4). Find the first derivative of 5*h - y + 4 - 6*h wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1598\/8 + -19 + 1463\/76 and 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -40*((-3)\/2)\/3. Solve 4*f - 3*h = -0*f + 15, 0 = 5*f - 5*h - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5740 - 6108.7. Round w to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 67705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*q + 170 = 170. What is the biggest value in -3\/73, -2\/35, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 9:19 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 2*b**2 - 2*b + 2. Determine k(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 1:53 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -4*z + 5*z - 4*z + 13 + 4*z. Let n be s(-3). What is the common denominator of (-6383)\/2990 - (-2)\/n and 89\/4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6319 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.471 and -0.118?\nAnswer: 0.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12996600 and 400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-68 - 118 - 133)*(3*u**2 - 3*u**2 + 2*u**3).\nAnswer: -638*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*s - 4. Let m(z) = 1. Let w(i) be the first derivative of 2*i + 27. Let c(x) = -3*m(x) + 2*w(x). Let o(h) = -h + 3. Give s*o(d) + c(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.84 - 0.44. Let r = 149 + -151. Which is the second smallest value?  (a) 3  (b) d  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - 67*z + 12. Let w(i) = -10*i. Let a(q) = m(q) - 7*w(q). Let d(j) = -j**2 - j - 1. Calculate a(n) + d(n).\nAnswer: -2*n**2 + 2*n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 3. Does 32 divide (-9380)\/(-80) - 1\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 215*l + 1655. Let y be h(-8). Suppose 2*b = 7 - 1. Put y, -3, b in ascending order.\nAnswer: -3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - -17. Suppose 0 = -5*s - x + 264, 0 = -0*s + 4*s - 4*x - 216. Let z = -29 + s. What is the greatest common divisor of a and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 3 + (-5 - -4). Suppose -3 = -a + 45. Suppose 0*j + a = 2*j + b*w, -5*j + 100 = 5*w. Calculate the highest common divisor of 176 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2004333, -8017366, -18039093, -32069514, -50108629, -72156438, -98212941?\n\"Answer: -2004347*f**2 + 8*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - q**2 + 12*q. Let n be i(3). Solve -k - 5 + n = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 23*p - 101. Calculate z(-11).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 7374*j**7\/7 + 2*j**3\/3 + j**2\/2 - 90*j + 6817. Find the third derivative of b(u) wrt u.\nAnswer: 884880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 14*a. Let s(q) = -5*q. Let v(n) = 6*i(n) + 17*s(n). Let m(b) = 5199*b - 5199*b + 8*b**2. Calculate m(v(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 16  (b) -1  (c) 1\/4  (d) 5  (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-2)*(-5)\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12986260 divided by 436.\nAnswer: -29785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 61, 56, 49, 40, 29, 16?\n\"Answer: -m**2 - 2*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-68)\/(-16))\/(-17)*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 23*i + 25*i + 6, -f - 2 = -4*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 154339925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*m + 173702 + 112283 = 0, 4*j - 2*m - 1143922 = 0. Suppose -286020 = x - 5*z, 2*x - j = 3*x + 5*z. What is x rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 69 = 11. Let g be k\/(-3) - (-2)\/6. Let u = 21381\/8 - 2676. Is u greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 3\/7  (c) 4\/1855  (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 706*x - 81931 - 30565 = -718*x for x.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1588176 smaller than 1588177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3629321873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 11:22 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3412 + 3415. Let o(l) be the third derivative of -3\/4*l**f - 1\/40*l**6 + 3*l**2 + 1\/15*l**5 + 1\/420*l**7 + 0*l + 1\/8*l**4 + 0. Solve o(c) = 0 for c.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*d - 10 = 0. Let k be 2 - 1 - 2 - -3. Suppose s - k*s + 16 = 0. Solve -d*b = s - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**2 - 7*j + 10. Let d be l(-8). Let g = 6 - d. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - -5866a?\nAnswer: 58668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 544 = -15*z + 4279. What is the third smallest value in z, -0.4, -6\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 9:31 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/5)\/(((-312)\/(-16))\/(-13)). Let u(q) be the first derivative of 16\/15*q**3 - o*q - 14\/5*q**2 + 3. Suppose u(w) = 0. What is w?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1264)\/(-5) - 1\/(-5). Let m = k + -373. Let f = -83 - m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3*p = -9, -14 = -2*a + 2*p - 4*p. Let o(d) = -62*d + 11. Let g(w) = -41*w + 7. Let y(z) = -8*g(z) + 5*o(z). Is y(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 75 + 82. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/18)\/((-5)\/(-15)). What is the remainder when 10 is divided by (-11)\/(-66) + (u - (-141)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 4647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -11. Suppose 2*x - 4*x = 4*f + 14, x = -5*f - 13. Let p(d) = d**3 + d**2 + d. Let r(k) = -2*k**3 - 3*k**2 - 3*k. Give f*r(q) + j*p(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (1242\/432)\/((-253)\/(-22))*(-16)\/50\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - -3038182?\nAnswer: 3038182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**3\/11 + 3*o**2\/11 + 2*o\/11 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -23 divided by 427663\nAnswer: -23\/427663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-5*(280\/25)\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 397 - 1342 = -21*n. Suppose -u + 7 = 2*h, 4*u - 26 = -5*h + 14. What is the greatest common factor of u and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**2 + 5*m + 1. Let j(u) = -7*u**2 - 10*u - 3. Let c(i) = -4*j(i) - 9*w(i). What are the prime factors of c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5, 4, 9, 26, 61?\n\"Answer: v**3 - 3*v**2 + v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of n**4\/4 - n**3\/3 - n**2 + 3. Let t be a(-2). Let z(s) = s**3 + 9*s**2 + 9*s + 12. Is z(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a. Let y(t) = 1017778*t. Determine i(y(u)).\nAnswer: -2035556*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 3*u. Suppose -4*g = 4*o + 36, 0 = 5*g + o + 26 - 1. Let r be a(g). Solve -d = r*b + 2*d - 20, -10 = b - 3*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 6:51 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1030.9 + -1029.9. Is -478.1 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwum when four letters picked without replacement from {w: 2, n: 1, m: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n. Let o(y) = 1824*y**2 - 1368*y - 1368. Let z(r) = -3*r - 3. Let m(f) = -o(f) + 456*z(f). Determine m(t(v)).\nAnswer: -1824*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5*(sqrt(1250) + -4)*-6*3*6 + -3)**2.\nAnswer: -58401000*sqrt(2) + 369178566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -400445*r - 8409334. What is z(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -868, -1737, -2608, -3481, -4356, -5233?\nAnswer: -6112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 13*s**2 - 13*s + 33. Let x be c(-14). Solve 3*k - x = 3*d - d, 3*d - 2*k = -21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5406 and 7632.\nAnswer: 129744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 5*h = -4*s - 3, -6 = -2*s + 3*h. Suppose s*i - 44 = -14. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33044763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 98815\nAnswer: -1\/98815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11521 is divided by 5731.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + -8)\/(2\/(-2)). Suppose 0 = -g*m - b + 632, -2*m - 2*b + 242 = 2*b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(76) - -5*2*sqrt(76)) + sqrt(76) + sqrt(76) - sqrt(76) - sqrt(76))\/((sqrt(40) - sqrt(1960))\/sqrt(10)).\nAnswer: -11*sqrt(19)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -10*x**2 - 102*x - 210. Give f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*m + 18*m + 44*m - 131*m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63 divided by 241.\nAnswer: -63\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360*y - 2255 = 338 + 1727. Which is the closest to 0.32?  (a) y  (b) 0.2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 5:20 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 539 - -3451. What are the prime factors of q?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {e: 5, c: 4, s: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 313, 108, -109, -344, -603, -892, -1217?\n\"Answer: -o**3 - 198*o + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1827394 - 4703712097\/2574. What is the common denominator of -97\/2574 and x?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 3*a**5\/2 + 114*a**4 - 13977*a**3\/2 + 52569*a**2 = 0.\nAnswer: -118, 0, 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 61.0395 grams?\nAnswer: 61039500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-270)\/60*2\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (100\/10 - -8)*4\/6. Solve 0 = 4*d - q - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1773170 + 887710 - 2*v + 885460.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 3 + 0 - 2819*i.\nAnswer: -2819*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 170 - -278. Let d = 450 - c. Let -1\/3*i**d + 1\/3*i + 2\/3 = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a - 3. Let q(h) = h + 3. Let d = -2002 - -1997. Give d*x(l) - 6*q(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -40*q**5 + 244*q**4 - q**2 + 2*q - 47?\nAnswer: -2400*q**2 + 5856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + (3*sqrt(7))**2 + 4*sqrt(28)) - -6*(4 + (sqrt(7) - (-1 + sqrt(7)))**2 + 1)*1.\nAnswer: 8*sqrt(7) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k + 7. Let z be g(5). Let l(i) = -2*i**2 + 2*i. Let u be l(z). Does 11 divide 1\/(-6) + (-796)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*q**2 - 187 + 106 + 102 to c*q + g + h*q**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/1 - (-5)\/(-5). Suppose 0 = 4*q, -6 = -p - 3*q + 2. Let u = p - y. Solve u*l - l = 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 3*q - c - 5 = 0, 4*q + 5*c = 13. Solve 2*m - 6 + q = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*h**3 - 14*h**3 - 15 - 35*h**3 wrt h.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4427741, 4427774, 4427807?\n\"Answer: 33*l + 4427708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(540) - sqrt(540)*-2) + sqrt(540) + sqrt(15) - sqrt(15))\/(sqrt(125) - (sqrt(125)*1 - sqrt(125)) - sqrt(125) - sqrt(125))*5.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 302*f = 671 - 369 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 3*y = -9 - 5, 2*y + 10 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 8*f + 80 + 52*f - 60*f + 2 + 2*f**2. Let d(b) = 2*b. Give p(d(k)).\nAnswer: 8*k**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1594, -3206, -4818?\n\"Answer: -1612*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - 1733707.\nAnswer: -1733725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 447e + 0?\nAnswer: 447e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 11*b**2 - 10*b - 13. Let o be i(-12). Let w = -14 - o. Suppose 58 = 2*q - 76. Calculate the remainder when q is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 12) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 3) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 37*x**2 + 2*x - 1. Calculate y(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6c25 (base 13) in base 15?\nAnswer: -47b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 991119 is divided by 913?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -997, -4614, -10643, -19084, -29937, -43202?\n\"Answer: -1206*m**2 + m + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 237 and 1743?\nAnswer: 137697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -8. Let r be (a + (3 - -1))*3. Suppose -8 = -r*l + 7. Solve 0 = j - 3*c - 12, 2*c = -3*j + l*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18675502033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**2\/4 - 31111*l + 967894321 = 0.\nAnswer: 62222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 5*n + a, -n + 22*a - 4*a = 32*a - 96 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -442 - 430424?\nAnswer: -431166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 19 = -3*n + 4, 0 = -5*f + 3*n + 63. Suppose f = p - 0*p. Suppose 5*u - u = p. Solve -5*w = u*a + 7, -2*a = -1 - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 7:10 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - -2 - (-5 + (-15)\/(-5)). Solve -t*z + z - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10592480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + f**2. Let s(m) = 38 - 4 - 66*m**3 - 60*m**3 + 69*m**3 - 6*m**2 - 2*m. Let k(r) = -s(r) - 6*w(r). What is the second derivative of k(b) wrt b?\nAnswer: 378*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4563 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -4 - 3. Let o = 11 + n. Suppose o*t + s + 0 = 5, s + 3 = 0. Solve m = -m + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 244*k + 2116. Determine b(0).\nAnswer: 2116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 76*h. Let p(i) = -4*i**2. Give v(p(l)).\nAnswer: -304*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 4 = -0*g. Let s be (2 - g)*(-4)\/(-6). Suppose 0 = -a + 6 + s. Solve -3 = y + 4*i + a, 2*y = -5*i - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -4*s**6\/15 + s**5\/60 + 497*s**3 - 2560*s**2. Differentiate h(l) with respect to l.\nAnswer: -96*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**4\/19 - 26*q**2\/19 - 24*q\/19 = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 641028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -1000101110011?\nAnswer: -1000101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 88*v = -91*v + 9, -3*b = 5*v - 15. Let f(t) be the first derivative of 0*t**2 - 1\/22*t**4 + 0*t - 7 + b*t**3 - 2\/55*t**5. Factor f(l).\nAnswer: -2*l**3*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5826433 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of 2*g**3\/3 + 3*g**2 + 4*g + 3. Let x = 0 + -11. Let y(h) = 6*h**2 + 18*h + 12. Let t(o) = x*v(o) + 4*y(o). Factor t(b).\nAnswer: 2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177*n + 90 = 186*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1791765 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2. Let m(p) be the second derivative of 1\/6*p**4 + 0 + 0*p**3 + 0*p**2 - 3*p. Calculate n(m(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22221020202021 (base 3) to base 8.\nAnswer: -22072354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 208800 and 164430.\nAnswer: 13154400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102 - 21220121022?\nAnswer: -21220121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02551 + -34?\nAnswer: -33.97449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 9238*h**2 - 82*h - 10. Let q(p) = 3078*p**2 - 25*p - 3. Calculate 10*q(z) - 3*y(z).\nAnswer: 3066*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 11*x - 2. Let p be r(-2). Let y = p - -24. Solve y = 3*m + 5*c + 19, 4*m + c + 10 = 2*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 191.474 + -191. Let w = v + 1.416. Let y = w + -1.9. What is y rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 0. Let i(y) = -y - 7. Let n be i(b). Solve -3*t - 4 - 5 = n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 233710 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 14762?\nAnswer: -14760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 + -24. Suppose 3*x - j = 13. Suppose 6*c - x = c - d, -3*d + 6 = 0. Calculate the smallest common multiple of c and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -111 - -114. Let p(b) = 3*b**3 + b**2 - 4*b + 10. Let o be p(k). Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -80*k*q**4 - 2*k*q**2 + 57*k + q wrt q.\nAnswer: -960*k*q**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 108 + -108. Let y(q) = -q - 7 - q**2 - 3*q + 17 - 2*q. Let v be y(2). What is the second smallest value in p, v, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 68 and 81820.\nAnswer: 5563760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/264)\/(4\/8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 4:21 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2497 - 2476. Solve -r*w + 20*w = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1121*x**3 - 568*x**3 - 554*x**3 + 7*x.\nAnswer: -x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162) + (-3 + (sqrt(162) - sqrt(162)*2) - sqrt(162)) - sqrt(6)\/(2*sqrt(3)*-2 - sqrt(3)).\nAnswer: -44*sqrt(2)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2426584130 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -53, -0.48, -1, 9, -3\/13 in descending order.\nAnswer: 9, -3\/13, -0.4, -0.48, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnjnjjn. Give prob of picking 2 n.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125480 is divided by 368.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -5, -8\/9, -2\/3, -1.6.\nAnswer: -5, -1.6, -8\/9, -2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b**(-10)*b**9\/b assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/16 and 107\/408.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 22*c**2 + 50*c + 167. What is a(-20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -93 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggeeg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**3 + a**2 + 3*a - 4. Let b be q(-3). Suppose -4*f + b = 14. What is the highest common divisor of f and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1*-71)\/(2 + -3) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36828 times 0.4\nAnswer: 14731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 700 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 + 6. Let p = 17.4 + u. Which is greater: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = y - 0*y + 2*g, -g = -2*y - 6. Let p be (-23 - y)\/(3\/10). List the prime factors of -2 + 3 - p\/5.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 7*n - 10)*(-1 + 2 - 3)*(0*n - 3*n + 2*n).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -77, -79, -81?\n\"Answer: -2*l - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = o - 13, -5*r + 0*o - 19 = -3*o. What is the third smallest value in -1\/4, 4, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 851726 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 202575887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q\/(q\/q**2))\/q*q**(-9\/2)\/q*q*(q*q**(-1\/2))**(11\/8))**(-2\/145))**(6\/7) assuming q is positive.\nAnswer: q**(3\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 221 divide 2671067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-38)\/(-12) + 8\/(-3*16). Let l be (-2332)\/(-16)*16\/(q + 1). Let v = l - 324. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2554211 and -3.\nAnswer: -2554214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 5, p: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 4*z + 18, -3*f + 3*z = -0*f + 27. Let u = 9 + f. Suppose 4*g = u*g. Solve -6*o + o + 20 = g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 10894189 and -3752.\nAnswer: 10890437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/((-5)\/2) + 5. Suppose 0 = -l + 48 - 9. Calculate the remainder when l is divided by (1 - -13 - 1) + p + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 4*k - 218 = 0, -6*x + 5*x + 3*k + 51 = 0. Let w = x + -64. Let o be 1 - 1 - (5 - 4). Sort w, o, -3 in descending order.\nAnswer: w, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 9, 45, 113, 213, 345?\n\"Answer: 16*i**2 - 12*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 0 + 0*t**5 - 7\/12*t**4 + 0*t**6 + 6*t + 0*t**2 + 0*t**3 + 1\/21*t**7. What is the third derivative of o(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.066 * 0.04.\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4698 and 405?\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-2))\/((-24)\/(-18)*(-24)\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -2*s**2 - 23*s - 57. Let i be r(-8). Suppose f - 15 = -2*f. Let w be (-28)\/f + (-6)\/15. Sort i, w, -5.\nAnswer: w, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*n**6 - 4*n**3 + n**2 + 30 wrt n?\nAnswer: 960*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*u + 27 = -4, -4*y - 8 = 4*u. Let p be (64\/(-12) - y) + (-3820)\/6. Let d = -451 - p. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -6 - 4. Let b = 6 + 28. Let d be 51\/b*(16\/(-18))\/1. What is the third biggest value in l, -1\/9, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.61 - -1.08. Let v = -0.07 + w. Which is the nearest to 0.1?  (a) v  (b) -4\/5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 2*o + 0*o - 114 - 5*o.\nAnswer: -8*o - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01309 - -0.5?\nAnswer: 0.51309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -203 or -282?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1021122 (base 3) to base 4\nAnswer: 32213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 75727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*c - 187 - 293. Suppose c*s = 35 + 29. Solve -s*q = -6*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 20665334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + -1 + sqrt(8)\/sqrt(4) + sqrt(8) + sqrt(2) + -4)**2.\nAnswer: -342 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 4150.127?\nAnswer: 1660.0508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.07762l in millilitres?\nAnswer: 91077.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**4\/7 + 4*o**3\/7 - 6*o**2\/7 - 16*o\/7 - 8\/7 = 0. What is o?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26066*p**2 - 26015*p**2 + 77992*p**2 - 25995*p**2.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 5*s + 7, -4*u - 4*s = 32. Let b(i) = 1 + i - 21*i**2 - i + 18*i**2 + 2*i - i**3. Give b(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4841, 9000, 13159?\nAnswer: 17318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -8*m - 4*i, 365*i - 359*i - 14 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 331*i**2 + 6*i - 3. Let s be a(1). Let d = s + -183. List the prime factors of d.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x\/(x*x**(-10)))*x*x**27*x**1*x*x\/(x\/(x*x*x**12\/x)) assuming x is positive.\nAnswer: x**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 898165 and 898144 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 47500*h**3 - h**2 + 2 + 4 + 2*h. Let j be f(-6). Let y be 4\/(-18) - j\/27. Round y to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 813 is divided by 720?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of 10*h**3\/3 - 291*h**2\/2 + 6*h - 5. Let y be q(9). Are y and -443\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.2 bigger than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 11 = -8*s. Suppose 0 = 3*p - 15, s*m - 5 = -5*p + 29. Factor -27\/2*t**m + 4 - 18*t + 27*t**2.\nAnswer: -(3*t - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.01 - -0.01. Suppose 505*f = 495*f + 140. Suppose -1 = -2*h - 5*w + f, 0 = -2*w + 2. Put h, g, -0.04 in decreasing order.\nAnswer: h, -0.04, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -555 - -531. Is (1335\/(-5))\/(9\/g) - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 4*r - 19, -2*c - 2 = 2*r - 10. Let j = c - -7. Suppose 27 = 5*m - o, 4*m - j = -0*m - 3*o. Solve 0*t + m = t, 4*l + 3*t + 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*l**2 + 96*l**2 - 255*l - 33*l**2.\nAnswer: l**2 - 255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 129 = -22*j, v + 13639*j = 13641*j - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -0.19\nAnswer: -0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -153, -279, -405, -531, -657?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/9 and 113\/350.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14521939 divided by -2.\nAnswer: 14521939\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -366*t**2 - 43*t + 14*t + 198*t**2 + 79*t + 183*t**2 - 50*t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 17*t - 14*t - 6, -5*k + 18 = 2*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - 4*i + 0*i)*(-4*i**4 + 2*i**4 + 6*i**4) - 8*i**2 + 13*i**2 - 67*i**5 - 4*i**2.\nAnswer: -63*i**5 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n - 1. Let z be j(3). Let p = 8 + z. Is 8 a factor of (13 - 0)*(p + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-27) - (-329)\/63. Suppose -5*h - 113 = -4*l + 25, 4*l + z*h - 158 = 0. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(-28)*-7*(-1 - -2). Suppose 2*s = -j, -s + 427 = 5*x - 3*s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19\/3 + -7. What is the third smallest value in 0.3, -1\/5, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-42) + (359882\/1854)\/((-14)\/(-9))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/42 and -50\/49?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3807*d - 28045 = -3412*d for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 4*h = 29, 12*j - 14*j - 5*h = 65 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 10213312103 (base 4) to base 14\nAnswer: 23788b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.053  (b) -3\/2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 59.7312 decades?\nAnswer: 5.97312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 times -67025.9?\nAnswer: -1541595.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 110400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*f**2 - 10*f + 5*f + 3*f + 2*f**2 as t + g*f**2 + p*f and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = -5*s - 3*r, 5*s - 125 = -10*r + 5*r. What is the least common multiple of 30 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 5*k - 63 = 0, 52*p - 50*p - 3*k = -29 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-150))\/(0 + -1)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 2 + 11)*((0*j**2 - 2*j**2 + 4*j**2)*(-2 + 4 + 0) - j**2 - 2*j**2 + j**2) in the form y*j + q*j**2 + d and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 0*o - o - 2*o + 3*o + o + (0*o + 0*o + 2*o)*(-6 + 3 + 2) - 2*o + 0*o + 0*o - o + 5 - 5)*(5*o**2 + 2*o**2 - 3*o**2).\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 6:29 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 22456, 22804, 23142, 23476, 23812, 24156?\n\"Answer: l**3 - 11*l**2 + 374*l + 22092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39 * 181.15.\nAnswer: 7064.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -5*y + 32. Let c(r) = -2*r + 11. Let i(p) = 162*p + 821. Let x be i(-5). Calculate x*c(u) - 4*d(u).\nAnswer: -2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 7:36 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 343700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 34*b - 14. Calculate i(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1744*v = 1753*v - 792. Let u = 9 - -57. Calculate the highest common factor of v and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27d165 (base 14) in base 5?\nAnswer: -323134032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 506 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 413316 divided by 9?\nAnswer: 45924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of -5*x**4\/2 - 544*x. Let c(r) = 103*r. Determine c(t(y)).\nAnswer: -3090*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 114598514 and -3?\nAnswer: -343795542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4926845?\nAnswer: 5, 7, 11, 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 2*d + 4*f, -d - 7*f + 12*f - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 16) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 268 in 2, -4, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 355*i + 2292 + 11198 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9247363*d**2 + 8281687?\nAnswer: -18494726*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*p**3 + 7*p**4 - 10*p**3 + 4*p**4 + 11 wrt p.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6060 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3 and -21607912.\nAnswer: -21607909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 9:22 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -0*a - 15. Suppose 2*t - 2*x = -14, -t - 7*x = -a*x + 2. Let r be (0 - 6)*3\/t. Are r and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18213706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*y**6 + 37*y**6 + 29*y**2 + 37*y**5 - 37*y**5 wrt y.\nAnswer: 3360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 10:43 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 3*v - 8. Let o be s(6). Is 746\/5 - 2\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17479 and 1771.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 8659*y - 4265. Is n(156) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2129 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 45 = 5*g. Let u be ((-6)\/(-27))\/(5\/g). Suppose 15 = -4*h + h, 2*h = 2*y - 54. What is the greatest common factor of u and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - 1818\/(-252)) + 2\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - -21) + 4 + -2. Suppose 4 - g = -6*l. Suppose 2*r = -3*p + 99, -p = 2*p - l. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 4*s - 27. Let p be n(-1). Which is bigger: -30 or p?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + 9*j - 1. Let m = 195 + -188. What is q(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -13 + 5 + 5 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*a + 2625 = 55 + 132 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*p + g + 21, -3*p + 89*g - 8 = 85*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 901\/12 - 75. Let s(z) be the third derivative of -1\/35*z**7 - 1\/30*z**5 + z**2 + 0*z**3 + 0 + w*z**6 - 1\/12*z**4 + 0*z. Factor s(k).\nAnswer: -2*k*(k - 1)**2*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*d + 50937 = 51201 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 2 - 1 + 11 + 195*a to u*a + b and give u.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 494418*o*u**3 + 26726*o*u**2 - 2*o + 4*u wrt u?\nAnswer: 2966508*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2 - 52 + r + 27 - 1. Let j(g) = g**2. Give o(j(n)).\nAnswer: n**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/30 + (-10)\/25?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 12389?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/285)\/(1\/(-2))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (5*6\/60)\/((-2)\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12683, 50736, 114157, 202946, 317103, 456628, 621521?\nAnswer: 811782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.921 + 0.039. Let i = 0.04 + f. Let g = 3.0000112 - i. Round g to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -277\/3 + 92. Let q = 14 - 9. Let a = 2 - q. Put 4, a, j in increasing order.\nAnswer: a, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1358793 is divided by 105.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/212 and -59\/22.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*s**4 - 7966*s**3 + 21*s**2 - 204*s - 19 wrt s.\nAnswer: 240*s - 47796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.05 + -1.25. Let x = z + -0.7. Let a = -9 + 11. What is the closest to -2 in 1\/2, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 12 = 3*o - 8*o, -o = 4*x + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*s = -0*s - 13, -4*s = -3*i + 39. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = d - 4*d + 5*p, p = 5*d - 12. Is (-14 + -526)*(d\/(-4) - 0) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7098 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 times 1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (-16 - -6) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n**2 - 10. Let m(d) = -5*d**2 - 3*d - 1. Let u be m(-1). Let c = -6 + 16. Let l(i) = 0*i + i**2 - 3 + 0*i. Give c*l(z) + u*y(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -17*k**8\/336 - k**7\/210 - 17*k**4\/4 - k**3\/6 + 3*k**2 + 48*k. What is the second derivative of y(p) wrt p?\nAnswer: -340*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*2\/6*2. Let o(j) = j**3 - 2*j**2 - j + 2. Let a be o(2). Suppose -1 + a = -y. Is y at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4465031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 44230431 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of -6*m**5\/5 + 6265*m**4\/12 + 208*m + 1. What is the third derivative of c(y) wrt y?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -239 - 6 = -7*o. Let p = o - 19. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10239203?\nAnswer: 13, 43, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {d: 4, f: 3, w: 7, s: 5}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2602 - -7810\/3. What is the second smallest value in t, 2, 1, -0.4, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -27, -37, -53, -75, -103?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.19 - -0.09. Let q = -0.9 - -1. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104, 194, 282, 368, 452, 534, 614?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2107 - -2055 - 5613\/(-108).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -504 + 919. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 12*l**2 + 253*l - 2. Let i(m) = 53*m**2 + 1011*m - 9. Give 2*i(j) - 9*z(j).\nAnswer: -2*j**2 - 255*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8352 and 290754.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 + 54*b + 253. Let y be f(-6). Which is greater: y or 52\/525?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + f + (3 - 5 + 1)*(3 - 3 - 2*f))*(-2*f**2 - f + f)*(-18*f**2 + 10*f**2 - 23*f**2).\nAnswer: 186*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63 by 14.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4048*f**3*g**2 - 131*f**3*g - f**2*g - f - 2 wrt g.\nAnswer: 8096*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -3\/8, 0.2, 0.08, -2\/11, 7541?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 - 8*h - 1. Let y be k(-6). Let t(s) = -2*s - 26. Let r be t(-15). Suppose -4*z = -0*z - r. Solve z = -5*a + y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 66079 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6184627 is divided by 65.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + -43 - (-2 - (1 + -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -691, -1400, -2113, -2836, -3575?\n\"Answer: -w**3 + 4*w**2 - 714*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 7*k**3 + 12*k - 53. Let m(j) = j**3 - 3*j. Calculate 4*m(d) + u(d).\nAnswer: 11*d**3 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2233 and 8729.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o**3 + 556*o**2 - 1111*o**2 + 557*o**2 - 13*o**3.\nAnswer: -17*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19 by 5636417.\nAnswer: -19\/5636417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -16. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of s**7\/210 + s**6\/150 - 43*s**5\/100 + 107*s**4\/60 + s**3\/5 - 72*s**2\/5 + 691*s. Determine g, given that k(g) = 0.\nAnswer: -8, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1080 = 88*c + 32*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/5*(20 - 15). Let m(g) = g**3 - 8*g**2 + 8*g. Calculate m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1967969766 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 1 = -5*f. Let a be (16\/20)\/((-72)\/180*3*1). Put a, 7, 1, f in ascending order.\nAnswer: a, 1, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4421 is divided by 440?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 276396343 take away -11?\nAnswer: 276396354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 - 3334*b**2 + 1384430*b + 4183350.\nAnswer: 2*(b - 835)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -11*n**3 - 21*n**2 + 4*n - 19. Let y(r) = -64*r**3 - 125*r**2 + 24*r - 111. What is 35*x(z) - 6*y(z)?\nAnswer: -z**3 + 15*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-594)\/570 + 1)*70. Which is bigger: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = 3*m - 17, 12*m - 6235 = 11*m + 2*y - 6229 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 187, 5, -3, -5, -4 in descending order.\nAnswer: 187, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 110*t - 1329. Calculate the remainder when 1910 is divided by u(13).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i - 4. Suppose 3*w - 7 - 8 = 0. Determine x(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 361159.2 millilitres to litres.\nAnswer: 361.1592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -44, -55, -96, -191, -364, -639?\n\"Answer: -4*c**3 + 9*c**2 - 10*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 + 3*x**2 + 4*x + 4. Let m be o(4). Let s = 11 + m. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2074, -2577, -3086, -3607, -4146, -4709, -5302?\nAnswer: -5931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 + w + 8. Let l be o(-4). Let j = l + 34. Let g be ((-8)\/j)\/(10\/(-15)). Solve 0 = g*z - 4*b - 6, -2*b = -3*z - 0*b + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 120, -5, 4 in descending order.\nAnswer: 120, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z = -8*z - 95. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x - x + 8*x in the form p + u*x and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -0.1, 4, -16.6, -2 in descending order.\nAnswer: 4, -0.1, -0.3, -2, -16.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -5387167 less than -5387166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 1. Let u = 2 + -3. Let f = u + 0.9. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -8\/1224157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + -50. Let f = l - -40. Let g be 232\/f + 6\/14. What is the greatest common divisor of g and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p**2 + 22*p - 22. Calculate b(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5*(-78)\/140 - (-6)\/(-21) - -1. Let d(m) be the first derivative of 5*m - n*m**2 + 7\/3*m**3 - 22 - 1\/4*m**4. Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/8 and -13\/512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2 - 4521*p + 84816.\nAnswer: 3*(p - 1488)*(p - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14 - -40?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*n - 60*n = -3*m, -n + 2 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1247+-0.554\nAnswer: 1246.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = a + 27470, 5*a = k - 525 - 4969. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - d - 5*y + 1048 = 0, -y + 1289 = 5*d. Suppose -93 - d = 5*q. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/2*1\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 7*t**3 + 7*t**2 - 3*t + 14. Let v(y) = -9*y**3 - 7*y**2 + 3*y - 14. Let p(c) = 5*q(c) + 4*v(c). Give p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 1 - (-1 - -4)) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18163, 36324, 54485, 72646, 90807?\nAnswer: 108968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14.018 + -14.0959844. Let l = 34.4918844 + d. Let q = -34.4 + l. Round q to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + (-4 - (-3 + -1) - 3). Put -16, 5, w in decreasing order.\nAnswer: 5, w, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 2*i**2 - i + 46. Determine b(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2582 - -2588. Solve 0 = h*g + 5 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, k: 1, e: 3, z: 3, c: 2, o: 1}. What is prob of sequence keee?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**6\/30 - d**5\/60 + d**4\/12 - d**3\/6 - 6*d**2 + 1. Suppose 3*r = 7 - 4. What is n(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**3 + 0*l**3 - 13*l**3.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v + 12. Let k be l(10). Suppose -3*d = k*d. Solve -4 = b - y - d*y, 2*b + 14 = 4*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n*n\/(n*n*(n\/(n\/n**(-14)))\/n*n)*n)\/n)\/n*n**15 assuming n is positive.\nAnswer: n**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 2a3?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v**4 - 5*v**4 + 0*v**4 + (7*v**3 + 2*v**3 - 7*v**3)*(-3*v + 4*v + v) + 4*v**4 - v**4 - 2*v**4 as o + h*v + y*v**4 + u*v**3 + c*v**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -17, -7448 in decreasing order.\nAnswer: -3, -17, -7448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 20*a**2 + 65*a + 49. Let k be o(-16). Solve 88 = k*t + 11*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186024631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 1\/13  (b) -6  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r**2 + 2*r. Let u(l) = -4*l**2 + 2*l. Let b(w) = -3*k(w) + 4*u(w). Factor b(s).\nAnswer: -s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -39, -67, -105, -153?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 13) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1855, -1864, -1885, -1924, -1987, -2080, -2209?\n\"Answer: -f**3 - 2*f - 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -cb (base 14) in base 13?\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11202331 is divided by 334.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 5*w = -105, -185 + 48 = -5*z + 3*w. What is the remainder when z is divided by (0 - 0) + -2 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, e: 2, t: 3, j: 2}. Give prob of sequence tat.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.15 + -0.1. Let n = -60.95 + 61. Let r = n - m. Which is the second smallest value?  (a) 1  (b) 2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1708\/9 + -190. Let q = -2.1 + 0.1. Let l = q - -3. Which is the nearest to 0.2?  (a) 4  (b) x  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 765.4755 kilometers in centimeters?\nAnswer: 76547550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/6*(-42867)\/10392.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.89846 days in seconds?\nAnswer: 4656826.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + g**2 + (-2*g + g + 2*g)*(-1 + 2*g + 1) + 605*g**2 + 608*g**2 - 1247*g**2 - 12.\nAnswer: -31*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 2, -2\/7, -2 in decreasing order.\nAnswer: 2, 1\/3, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 6, l: 2, y: 1, a: 3}. Give prob of picking 1 l and 3 c.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -15*i**2 + 107*i - 86. Let o be x(13). Is 0 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**0)**(-1\/13)*a**(-7)*a**(3\/7))**(-1\/21) assuming a is positive.\nAnswer: a**(605\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -181, 155, 1073, 2867, 5831, 10259, 16445?\n\"Answer: 49*r**3 - 3*r**2 + 2*r - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - y = -2*w + 18, -y - 9 = -4*w. Let m(k) be the second derivative of k**3\/2 + 2*k**2 + k. Does 8 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*m**2 + 0*m + 1\/4.\nAnswer: -(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v - 3. Let k be h(6). Let r = -7 + k. Calculate the remainder when 23 is divided by r\/8 - 25\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 20.4 and -78.083?\nAnswer: -1592.8932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 32*c + 1. Let t(g) = 65*g + 2. Give -10*r(d) + 4*t(d).\nAnswer: -60*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from ixiiixwixxi.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 341132629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 3245.3710453662.\nAnswer: -3245.2710453662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 560\/228*(-97166)\/(-38355).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-4)\/(16\/(-46)). Suppose z + l = 2*v, 2*z + 0*v + 11 = -3*v. Sort 0.3, z, -2.\nAnswer: z, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 144*j**3 + 6*j - 6. Let f(u) = u - 1. Determine -6*f(t) + k(t).\nAnswer: 144*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2321484 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 5.479.\nAnswer: 21.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(75) - (sqrt(75) + 2*-4*sqrt(75)))*1)**2 + -5*(-3 + 3 + sqrt(75))*5.\nAnswer: -125*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -84*b**2*u**3 + 3*b*u**3 + b*u**2 wrt b.\nAnswer: -168*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(0\/1 + 1). Suppose 2*c + 6 - 32 = v. Suppose -200 = -4*f + 2*k, 0 = 2*f + 3*k - 7*k - 106. What is the remainder when f is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -2, 10322\/7 in descending order.\nAnswer: 10322\/7, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.372401757 rounded to two dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/12900 and -19\/600.\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4185, 2557, -157, -3957?\nAnswer: -8843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 200304 + -3?\nAnswer: 200301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10 * -0.0071.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 108 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 184231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 484\/(-2783) + 104\/69\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 15 - (11 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x - 41. Let n be q(0). Let b = n - -69. Suppose 0*j - 4*j + b = 0. Calculate the highest common divisor of j and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*b**2*d**3 + 442*b*d**3 + 2*d**3 + 31*d**2 + 29 wrt b?\nAnswer: 8*b*d**3 + 442*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7358, -57038, -191520, -453206, -884498, -1527798, -2425508, -3620030?\nAnswer: -5153766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8221, 15415, 22605, 29791, 36973, 44151?\nAnswer: 51325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mimmmmmimmm. What is prob of picking 3 m and 1 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**10*q)*q*q**(4\/3))\/(q*q**0)**(1\/60) assuming q is positive.\nAnswer: q**(-461\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -20297*j**2 - 10*j - 72. Let s(i) = 2*i. Calculate s(v(n)).\nAnswer: -40594*n**2 - 20*n - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -5*p - 5, 17 = 3*l - 0*p + 4*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 174 and 880 - (-11 + 11 + 10).\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-24\/11))**44\/(((q*q**20*q*q)\/q)\/q*q)**(2\/69) assuming q is positive.\nAnswer: q**(-6668\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 42071202 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.6, 2\/5, 0.03, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 2*z**2 + 3)*(9 - 4 + 1) to u + b*z + y*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 6518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*u - 36 = 0, -2*j + 0 + 18 = 3*u. Suppose -111 = -9*x + 850 + 686. What is the remainder when x is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -9*s**3 + 9*s**2 - 3*s + 5. Let p(a) = -4*a**3 + 5*a**2 - 2*a + 3. Let i be (7\/(-6) + (-80)\/(-120))*-10. Determine i*p(c) - 3*y(c).\nAnswer: 7*c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -48629 greater than -48622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**2 - 198532*d - 115160008.\nAnswer: -4*(d + 587)*(d + 49046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + m - 4*m = -21, -o + 19 = 4*m. Suppose -w + z + 62 = 0, 2*z + 59 = 9*w - 8*w. Suppose 172 = o*v - w. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 + -27. Let o(h) = -h - 13. Let b be o(a). Let p = -1758 - -1762. Sort b, 0, p, -5.\nAnswer: b, -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -364*v**3 - v**2 - 2*v - 1. Let a be d(-1). Suppose 0 = l + 3*l - a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 27*v**2 - 4 - 5 + 5*v**2 - 11*v**2.\nAnswer: 21*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*o + 16, -o = 2*q - 7. Let t(r) = -20*r**2 - 8*r. Let c(d) = -19*d**2 - 7*d. Let p(x) = q*c(x) - 4*t(x). Suppose p(u) = 0. What is u?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/31748 and -31\/190488?\nAnswer: 190488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - 0) + (-55)\/5. Let v be (-232)\/(-5) - (-4)\/u. What is the first derivative of -6 + v*a - 4 - 44*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23686 - 12258 = -8*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/2 = 5942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 17, -1, -3 in ascending order.\nAnswer: -13, -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z + 5 = 26 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 378 = 58*c. What is the closest to 0 in c, -1\/8, 0.7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5.06 or -759?\nAnswer: -759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v + 6 - 2*v - 3 - 12 + 7. Give s(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 2*i**2 - 28*i + 10 + 43*i + (-2*i + 5*i - 4*i)*(i + 3*i - 5*i) in the form n*i + a*i**2 + u and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*t + 6224 = -3*f, 0 = 5*t - 15. Let o = -3925 - f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 11395377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -87.7876 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -798*k**5 - k**4 + 1430*k**2?\nAnswer: -47880*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -263\/3?  (a) 0  (b) -0.2  (c) 4  (d) -2  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**3 + 5*v**2 - 307*v - 5. Let y(o) = -o**2 + 2*o + 1. Give k(h) + 5*y(h).\nAnswer: -2*h**3 - 297*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/144 - (-28)\/126?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y*y\/(y*y\/(y**(-4\/7)\/y)))\/y)*y)\/y)\/y**(2\/13)*y\/y**15*y**(-13) assuming y is positive.\nAnswer: y**(-2146\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -107 - -111. Suppose -13*i = u*i - 51. Solve -5*q + 1 = -4*g + 16, i*g - 15 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 206.237448 rounded to one dp?\nAnswer: 206.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 PM and 3:39 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/(-3))\/(2\/(-36)). What is the first derivative of -8*v**2 - 4 + 0 - 3*v**2 + i*v**2 wrt v?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7401300 and 36.\nAnswer: 22203900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 44 = 61. Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43223879 to the power of 1\/2, to the nearest integer?\nAnswer: 6574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20970 <= 20970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000277814 rounded to 7 decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**2 - 29*j - 2. Let l(y) = y**3 + y**2 + y - 1. Give f(u) - 2*l(u).\nAnswer: -2*u**3 - 31*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 476 a factor of 15356174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 3*p = 22, -20 = 10*v - 8*v + 4*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2510 divided by -735\nAnswer: 502\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -538 - -268 - -291 - (0 + -19)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m\/((m\/(m*m\/(m*m**(6\/7)*m*m)))\/m*m)*m*m*m**(-3)\/m*m*m**(-12)*(m*m**15)\/m assuming m is positive.\nAnswer: m**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, d: 1, r: 3, g: 1}. Give prob of picking 2 h and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 2802736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1395 is divided by 446.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*n = 41531 - 34823 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/11  (b) -1\/4  (c) -0.1  (d) 2\/11999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 0*w - 45738 = 4*u, -5*w = -2*u - 22889. Let n = 251573\/22 + u. Find the common denominator of -37\/6 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 16 = 3*h - 36, 4*h - 64 = -5*k. Suppose -l + 4*o - 13 = 0, -8*o + k = -4*o. Solve 0 = -3*g - 0 - l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/5 and 37\/266447.\nAnswer: 1332235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 16997 = 22184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = -2*a + 5, -4*w - 91 = -2*a - 61 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64793 is divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*o + 4*q, -o - o - 3*q = -13. Let s be (-2)\/7 - (-4)\/14. Suppose 5*y - 12 - 3 = s. Solve 0 = y*u + o + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -25, -122, -293, -544, -881?\n\"Answer: -h**3 - 31*h**2 + 3*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c + 0*c - 19*c + 5*c - c - 3*c + (-7*c - 29*c - 9*c)*(3 + 6 - 7))*(3 + c - 3) to the form d*c**2 + g*c + u and give d.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 5:23 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-1) + 1\/3. Let j be (-3)\/1 - (-2 + 1). Let l = j - -3. Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 2756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7)*1)**2*-3 + sqrt(7) + (sqrt(847) - ((-2*sqrt(847))**2 + sqrt(847))) + 4 + -4)*3.\nAnswer: -10227 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 6*(sqrt(19) - (-3 + sqrt(304))) - (-3*(2 + sqrt(171) + -1 + sqrt(171)))**2.\nAnswer: -6150 - 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -17, -27, -47, -77, -117, -167, -227?\n\"Answer: -5*m**2 + 5*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*y - 216 = 0. Let u = y + -916. Round u to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20736 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8319*y = 8300*y. Let n be ((-4)\/3)\/((-2)\/3). Solve 0 = 5*k + 4*q + 12, n*k + y*q = -2*q - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7982 * 8.\nAnswer: 63856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*p - 3. Suppose 4*b + 4*f = 24, 0 = f + 2*f - 9. Solve 11 + b = -3*c - g, -5*c + p*g = 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhohhhhohhohhh. Give prob of sequence hohh.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 - -17. Let o = 12 - b. Let d = -7321 - -7328. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 0 + 0*z - 1\/180*z**6 + 1\/12*z**4 + 2\/9*z**3 - 6*z**2 + 0*z**5. Determine u so that o(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1760798 by -135446.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 251000*d - 251000*d - 1480*d**2 + 5*d**2 + 4 - 4 + (2*d + 2*d - 2*d)*(2*d - 6*d + 3*d) + 0*d + 0*d + 2*d**2 to the form t + a*d + p*d**2 and give p.\nAnswer: -1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*g**2 - 36*g**2 + 1 + 0.\nAnswer: 27*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 85, 187, 321, 481, 661, 855, 1057?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m - 1. Let q(i) = 2*i + 2. Let w(b) = 23*b + 1029. Let v be w(-45). Suppose -3*j = -5*x + 42, -3*x - 2 - 54 = 4*j. Determine j*s(k) + v*q(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (-14 - (8 + -12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2854*v**2 + 2841*v**3 - 3236*v - 4832*v - 117*v + 1227*v - 2839*v**3 wrt v?\nAnswer: 12*v + 5708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -650741 from -21884628.\nAnswer: -21233887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -145001*h**3 - h**2 + h + 1. Let s be n(-1). What is s rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 + 10*j**2 + 8*j - 6. Let x be r(-9). Let p = -15 + 4. Let i = p + 13. Sort x, -3, i.\nAnswer: -3, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 152531, -1, 4, 3, -2 in decreasing order.\nAnswer: 152531, 7, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-49)\/(-14) + -14)\/((-15)\/45).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27430 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2891.2263 + 2891. Let c = -0.21 - y. What is c rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 + o + 1. Let p(r) = -2*r**2 + 12*r + 17. Let u be p(7). Let h be (u - 0 - -3)*(-7)\/14. Determine x(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b. Suppose 0 = -5*o - 0 - 20. Let y(c) be the first derivative of c**2 + 50. What is o*y(a) - 5*n(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -4*w - 5. Let d = w - 13. Factor -18*n + 20*n**2 + 5*n - d + 11 - 5*n**3 - 12*n.\nAnswer: -5*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10)\/(-20) + (-133)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i + 39*i = 146 - 476 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c - -14a26ba?\nAnswer: 14a2719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 1417, 9, -13, -4, -2 in increasing order.\nAnswer: -13, -11, -4, -2, 9, 1417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25 + (-5 - (-3 + 2)). What is the greatest common factor of 168 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -474*q**3 - 812*q + 5. Let c(m) = -1420*m**3 - 2430*m + 16. Let p(o) = 2*c(o) - 7*i(o). Find the second derivative of p(w) wrt w.\nAnswer: 2868*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 41*o - 52 - 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**4\/12 - z**3 - 5*z**2\/2 + 16*z. Let m(h) = -h**2 + 6*h + 5. Let b(p) = -4*m(p) - 5*t(p). What is b(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 7*q - 2. Let w = -47 + 51. What is the lowest common multiple of g(4) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of -44*j**2 - 42*j - 10. What is the units digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2431 + 2433 + 538*x - 4864 + 4227*x.\nAnswer: 4765*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**3 + 2*o**3 + 3*o**3)*((4 - 1 + 1)*(-3 + 3 - o) - 3*o - o + 2*o + (3 + 1 - 5)*(-24*o + 2*o - 39*o))*(2*o + 0*o - 3*o).\nAnswer: -55*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/2 + 1*(-5)\/10. Let t(d) = d**2 + d - 6. Let a be t(y). Solve a = -4*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1154939 divided by 4?\nAnswer: -1154939\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0398 and -34831.\nAnswer: 1386.2738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 331*s - 167*s - 163*s. Let y = -2 - -4. Let v(g) = -4*g**y - 1 + 1. Determine l(v(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2 + 29*c - 85. Let d be i(6). Let m be 374\/8*-1*-4. Calculate the highest common divisor of m and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001592 rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**2 - 8*m**2 + 6*m**2)*(-3 - 2 + 0 + 0 + 2 + 0 + 2 - 2 + 2 + (-3 - 1 + 2)*(3 - 1 - 1) + 0 + 1 + 1)*(-2*m + 0*m + 3*m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + 7 - 17) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -233372608 by 4167368.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11001 - -123131113?\nAnswer: 123202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 5 - 1 = 0. Let m = -9 + 16. Suppose 0 = -0*g - 2*g + b + m, g - 4*b = 7. Solve g*j = -r*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 1\/4  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 - 0.4. Let l = -0.1 + 0.3. Let x = l - 0.2. Which is the biggest value?  (a) x  (b) -2\/3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 59 + -86. Let k = l - -25. Let y = 63\/38 - -1\/114. Which is bigger: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 1. Suppose -m = 9 - d. Let a(z) = z + 13. Is a(m) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7171129 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -470 - 4*l - 469 - 478 + 0*l**3 + 1424 + 2*l**3 - 2*l**2 as n*l**3 + y*l + a*l**2 + w and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2 - 6*r + 2. Let y(s) = -s. Let q = -204 - -205. Determine q*d(b) - 4*y(b).\nAnswer: 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -697, -2081, -3455, -4813, -6149?\n\"Answer: o**3 - o**2 - 1388*o + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbihibbibhbbi. What is prob of picking 1 i and 3 b?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -100111010001101011111 (base 2) in base 4?\nAnswer: -10322031133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 4 = 2*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 5700575409441\nAnswer: 5700575409443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 13 = -543. Let a = 679\/5 + j. What is the common denominator of a and 79\/69?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 less than -10662247663?\nAnswer: -10662247719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l*l**1)*l)**(-39)*(l*l*l**(1\/3))**45)**(-2) assuming l is positive.\nAnswer: l**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 121. Let m = n + -115. Let i = -2 + 1. Which is the nearest to i?  (a) m  (b) 2  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*c**2 + 8*c**2 - 2*c**3 + 8*c**2 - 24*c - 22*c**2 + 8*c**4 wrt c.\nAnswer: 192*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + -1. What is the hundreds digit of (-2947)\/(-10 - q) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from igiiuuuiiucu?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.011804 rounded to five dps?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -78*o**4 + 62*o**3 + 56*o**2.\nAnswer: -2*o**2*(3*o - 4)*(13*o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 6*f + 93. Calculate the remainder when r(15) is divided by (-1)\/(2 + (-236)\/116).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 take away 6.8619313222?\nAnswer: -6.1619313222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -20 - 5 - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 32 - 14 = 14 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -b**2*v**3 - 2*b**2*v + 42*b*v**2 + 5*b - 68*v**3 wrt v?\nAnswer: -6*b**2 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**3 + 11*u**2 + 56*u + 60 = 0. What is u?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 24 + 7\/3*n**3 + 0*n + 1\/2*n**2. Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 123870 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-2\/7))\/r**(1\/12))\/((r*r\/r**(7\/3))\/r**6) assuming r is positive.\nAnswer: r**(211\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 886 is divided by 140.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.4 - 0.7. Let u = 1.3 + g. Let y = -60\/13 - -248\/65. What is the third biggest value in u, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1148247, -3, 0.4 in increasing order.\nAnswer: -3, 0.4, 1148247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 0 + 13*f**2 - f**3 - 19*f + 8*f**2 - 17. Let m be o(20). Solve -g = -0 - m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 286 + -280. Solve g = p*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -46957 in 0.5, 0.4, 49?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 265313.6 hours to microseconds.\nAnswer: 955128960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5793?\nAnswer: 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 1609*u. Let x(t) = -2*t + 8*t + 4*t - t - 14*t. What is x(k(g))?\nAnswer: -8045*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*f + 8 = 0. Let c(o) be the third derivative of o**5\/15 + o**4\/6 - o**3\/6 - 7*o**2. Calculate the remainder when c(-3) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -139, 0.07, -4\/37?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 10 = -3*z + v, -2 = -v. Suppose 0 = 5*k + 20, z*l + k + 0*k = -55. Let b = l - -20. What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*z + 9*z = -96 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-300)\/(-156) - 1) + (-8360)\/(-520)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1087 + -218. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -104*d - 119*d**2 + 227*d**2 - 38*d - 115*d**2 to the form i + k*d**2 + w*d and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 30335, 60666, 90987, 121292, 151575?\n\"Answer: -n**3 + n**2 + 30335*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 22 - -34?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 952409487 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 50*j + 128 = -236 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*(b\/(b*b*(b\/(b*b\/b**(-1\/4)))\/b))\/b*b))**(-2\/5)*(b**(-4)*b)\/b**(-3\/8) assuming b is positive.\nAnswer: b**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -8. Let f = -7 + 9. Suppose 9 - 37 = -5*w - b, 0 = w - f*b + a. Calculate the least common multiple of 11 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 10:24 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fczvvvffzfe. Give prob of picking 1 c, 2 z, and 1 f.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 9*l**3 + 13*l**2 + 13*l - 13. Suppose 11*p + 52 = 13*p. Let s(f) = -2*f**3 - 3*f**2 - 3*f + 3. Calculate p*s(u) + 6*j(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 6*q**2 - 30*q + 26. Let s be c(4). Solve 3*f - 5 = s*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oro when three letters picked without replacement from {o: 3, b: 9, r: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59910 is divided by 14845?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 866 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 830 (base 9) to base 11.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -251, -5, 34419?\nAnswer: 34419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 46466 + 1?\nAnswer: 46500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3891\/(-15) + 6\/(-10). Which is smaller: -257 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 200310 + 11?\nAnswer: 200321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h**0\/h)\/h)\/h**(-1)*(h\/h**(-6))\/(h*h\/h**(-1)))\/((((h\/(h**(-2\/5)*h))\/h)\/h)**(-4\/23))**(-16\/7) assuming h is positive.\nAnswer: h**(3732\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 12:55 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {e: 2, m: 3, c: 1, o: 4, d: 5, b: 5}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 12 + 10. Calculate the common denominator of -109\/6 and (w - (-90)\/64) + -3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 2146165?\nAnswer: -2146164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5263 (base 11) to base 2\nAnswer: -1101100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 12. Calculate the remainder when (-3105)\/(-165) + (-2)\/u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - -1. Suppose -4*v + 75*v = -1278. Let u = p - v. What is the highest common divisor of u and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1634574 by 14.\nAnswer: -817287\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -75 - -78. Suppose w*u = 2*v - 6 + 3, 2*u = -2*v + 18. Let f = -8\/65 - -186\/455. Which is the second biggest value?  (a) f  (b) -4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 + 1. Let i(a) = -21*a**2 - 18. Suppose 16 = 14*f + 2*f. Determine f*i(b) + 18*k(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1933109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 327*t**2 - 1 - 162*t**2 - 163*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24968 + 3?\nAnswer: 24971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 256261880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 + -92 - (3 - -26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(288) + sqrt(288)*1)*-5)\/(sqrt(108)\/sqrt(3) + (-4*sqrt(108))\/sqrt(12)).\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -216598, -216443, -216290, -216139?\n\"Answer: -y**2 + 158*y - 216755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1402, 975, 548, 121, -306, -733?\n\"Answer: -427*x + 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 13501, 16702, 25387, 42298, 70177, 111766, 169807, 247042?\n\"Answer: 457*z**3 + 2*z + 13042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -0.5  (c) -2\/17  (d) 4  (e) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*c**2 - 2*c**3 + 20*c**2 - 5*c - 6*c**2 to the form s*c + z*c**2 + l*c**3 + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - -2) + (2 - 2) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -321*p - 968*p - 435*p + 319*p.\nAnswer: -1405*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 17550 (base 8) in base 5?\nAnswer: 224130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from leeeellllll?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3528 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 984078955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from lvvvvvllvvvvvvvv?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6226421 - -273?\nAnswer: -6226126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.41 + 5.1. Let p = 6.51 + s. Let n be (-9)\/(-15) + 4\/10. Which is the closest to 2?  (a) n  (b) -2\/7  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109933531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 + -13. Which is the third biggest value?  (a) -3  (b) 2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bgzgvzzjbzb. What is prob of sequence zgjg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -267, -367, -647, -1197, -2107, -3467, -5367, -7897?\n\"Answer: -15*g**3 + 5*g - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -153*s**4 + s + 3*s**2 + 0*s**2 + 2 + 138*s**4 as j + n*s**2 + w*s + k*s**3 + r*s**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 105. Let g be b(0). Let s = -105 + g. Sort s, 3, 7, -3 in ascending order.\nAnswer: -3, s, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222 + 222 - 14*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(0 - 2\/10960). Let s = 150840 + z. What is s rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7073 is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 912 and 1691?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 0.1  (c) 188\/529  (d) -24.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27810 + -27810.3. Let t be -2 + 9 + 0 + -3. Which is the smallest value?  (a) m  (b) t  (c) 2  (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7882?\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*o**2 + 11*o**3 + 10*o**2.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 - g + 5. Let z be o(0). Solve -z + 0 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -8957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -5*k - 1. Let g be b(-1). Let z be 15\/9*-3 + 9. Solve z*v - 4*h = -7 - 5, -2*v = g*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32692499 to the power of 1\/2, to the nearest integer?\nAnswer: 5718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 2*x - 3*x)*((3*x - 2*x - 2*x)*(-2 + 0 + 4) - 6*x - 7*x + 7*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 39986778 divided by 2301?\nAnswer: 17378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(1\/6)*j**0*j)\/(((j*j**(-2\/17))\/j)\/j**(1\/4)) assuming j is positive.\nAnswer: j**(517\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + 23*s + 50. Let d be c(-19). What is the tens digit of (-34)\/(-221) - 5378\/d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10c5819 + 1?\nAnswer: 10c581a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o*o**6*o*o\/o**(-5)*o**(-2\/5)\/o**(-1)*((o*o*o**(1\/6)\/o*o)**2)**(-1\/27) assuming o is positive.\nAnswer: o**(6253\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m = 2*t + 34, -403*m - 24 = -405*m + 4*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 83, -0.25, -1.\nAnswer: -1, -0.25, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130 = 99*x + 365 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 168137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -525.726193 and -2.\nAnswer: -527.726193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -349749 divided by -204.\nAnswer: 116583\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.3+-22095\nAnswer: -22095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 44\/28)\/(4\/33838). Suppose 15*s = o + 4931. List the prime factors of s.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -7*o**2 - 41*o + 197. Calculate w(5).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -14*m**2 + 15 + 4*m - 91*m**3 + 92*m**3 - 20*m. Let t be r(15). Suppose 2*s - 19 - 109 = t. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 177, 184, 195, 210, 229?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18263 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/17 - 70320*l\/17 - 632718\/17.\nAnswer: -2*(l + 9)*(l + 35151)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/29560 and -79\/2231780?\nAnswer: 4463560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.85 - -1.05. What is the biggest value in -3, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 660, 644, 618, 582, 536?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1776.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0*(-3)\/12)\/1. Which is bigger: -1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 6*a**2 + 12*a - 17. What is the remainder when 34 is divided by o(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 1:26 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*s**4 + 122021*s**2 + 620016 with respect to s.\nAnswer: 32*s**3 + 244042*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(140\/(-2)))\/(12\/(-45))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -1, 5, -3, 3, 217 in descending order.\nAnswer: 217, 5, 3, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1593 >= -1589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z - 16. Let v be k(8). Let y = v + 5. Solve -3*t - 4*o = t - 28, 0 = -t - y*o + 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*k + q + 23 = 40*k, 0 = -4*k - q + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -o + 21, -3*q = -6*q + 3*o + 18. Suppose -3*j = q - 45. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of x**5\/10 - 2*x**4\/3 - 3*x**3 + 36*x**2 - 43*x - 6. Factor m(n).\nAnswer: 2*(n - 4)*(n - 3)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*h**2 - h**2 - 36*h**2 - 70*h**2.\nAnswer: -87*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -1.98  (c) -2\/29  (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -12367, -24662, -36865, -48934, -60827, -72502, -83917, -95030?\n\"Answer: 7*u**3 + 4*u**2 - 12356*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, p: 5, c: 2, n: 3, x: 1}. Give prob of picking 2 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 + 8*m**2 + 22. Let r(b) = -2*b**3 + 1. Determine -2*r(v) + y(v).\nAnswer: 2*v**3 + 8*v**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*w = 7067, 2 = -3*w + 5*w. Suppose 4*s + s = o. Suppose -3352 = -9*f + s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 - 26)*(-1)\/(-2). What is the units digit of (-58)\/(-3)*(-18)\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -7*k**2 - 5. Let m(j) = -22*j**2 - 16. Let f(a) = 16*c(a) - 5*m(a). Let h(l) = -26*l. Calculate h(f(y)).\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*w - 14. Let x(h) = -h**2 + 10*h + 6. Let o be x(10). Let k = o - 2. Solve 1 + k = w*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244261 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (46958\/901 - 52) + 291\/(-17)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 c when three letters picked without replacement from {p: 2, k: 1, c: 2, b: 2, u: 8, x: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 202 and 38986.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/170 and 27\/2?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -227, 0, -1, -21, -4, -2, 5 in ascending order.\nAnswer: -227, -21, -4, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10196759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -24. Which is the nearest to -5?  (a) r  (b) -3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1317.03 + 1317. What is the second smallest value in -0.1, q, -2.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 332\/(-3) + 5\/(-15). Let i = r - -190. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -285632, 5, -4, 3, 4 in increasing order.\nAnswer: -285632, -4, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -71*v**5*x - 12*v**4*x + 29*v**2*x - 66*v + 2*x wrt v.\nAnswer: -4260*v**2*x - 288*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 5*s**2 - s + 3. Calculate o(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*x + 24*x**3 - 35*x - 13*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 2*c + 11. Let k be f(0). Suppose 13*h - 4 = k*h. Put 4, h, 1 in descending order.\nAnswer: 4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 1144 = 3*q - 7645, 4*j = 0. Suppose 3*z = -2*p + 2846, 0 = -3*z + 3*p + q + 689. List the prime factors of z.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 9:35 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 53031237*m**5 - 7*m**2 - 538691 wrt m.\nAnswer: 3181874220*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50081 rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 3:25 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 7*w + w - 21 + 25. Let x be q(0). Let h(p) = p**3 - 2*p**2 - 3*p - 3. What is h(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1464540.\nAnswer: 2, 3, 5, 7, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - m + 8. Let w be t(8). Let p be -2 + (w\/(-9))\/(-2). Is p greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {k: 2, q: 1, s: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 AM and 5:33 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 0. Suppose m - 8 = 5*t, 3*t + m + 3*m + 14 = k. Which is smaller: -11\/6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b - 3. Suppose -2 = -4*m + 5*c + 19, 5*m = -5*c + 15. Determine i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 883, 1756, 2621, 3478, 4327, 5168, 6001?\nAnswer: 6826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 0.14, 63093\/7 in decreasing order.\nAnswer: 63093\/7, 0.14, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -424 - -484. Calculate the remainder when w is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2222 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s = 2*g - 36, -5*g - 103 + 145 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of 2*q**3\/3 + 3*q**2 - 3*q. Suppose 32 = 4*h + 4*s, 5*s = 4*h - 2 - 12. Is 13 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + 1 + (10 - (10 - 19))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 507587406 divided by -2?\nAnswer: -253793703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -6*s**2 + s - 2. Let u(f) = -7*f**2 + f - 3. Suppose 2*b + 2*z - 22 = 6*z, 5*z = -15. Give b*x(t) - 4*u(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(96\/36) + (-36)\/(-10). Solve p*o**4 + 0 - 7\/5*o**3 - 1\/5*o + o**2 = 0 for o.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/1*(-26 + (-1378)\/(-52))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6381, -12757, -19133?\n\"Answer: -6376*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2639 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1050, -6647, -16778, -31431, -50594, -74255?\nAnswer: -102402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2961 - 0.00655.\nAnswer: -0.30265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*o - 2351 - 2851 = 0. Solve 788 - o = -98*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 505014661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -238*h**3 + 238*h**3 + 2*h - 41*h**4 + (2*h**3 + h**2 - h**2)*(4*h + 6*h - 6*h) to w*h + v*h**3 + f*h**4 + a + i*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away -46062?\nAnswer: 46061.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -1\/2*z**2 + 9*z - 2. Calculate the lowest common multiple of g(-9) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*(0\/(12\/3))\/3. Let z(b) be the first derivative of 1\/2*b**2 + q*b**3 + 0*b - 4*b**6 - 6 + 0*b**5 + 0*b**4. Find the second derivative of z(g) wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 913 and 66.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of -v**5\/20 - v**4\/4 + 5*v**3\/6 + 2*v**2 - 8*v. Let y be p(-4). Suppose -5*q + a = 10, -a - 8 = 4*q - y. Is 0.5 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -1 - 4 + 8*w + 5. Let q(i) = i**3 + i**2 - 2*i. What is the remainder when q(3) is divided by b(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1038 = 7*u - 16165. Suppose 13*d - u = 12*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.32429 + 0.2\nAnswer: 0.52429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 82197, 164389, 246581, 328773?\n\"Answer: 82192*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -9*n**3 - 5*n**3 + 8 - 4*n + 4*n - 8*n + 8*n**2. Let d(s) = -5*s**3 + 3*s**2 - 3*s + 3. Calculate 8*d(p) - 3*r(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 4:51 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3\/7 + 11308*i**2\/7 - 67740*i\/7 + 14508.\nAnswer: -4*(i - 2821)*(i - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2007 and 1169.225.\nAnswer: -837.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/4 and 17\/268.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -0.2  (b) -2  (c) -1\/7  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4269011322 and -743.74.\nAnswer: 4269010578.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*f - 5*f + 12*f + (-2*f + 3*f - 2*f)*(2 + 2 + 0) to x + g*f and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, w: 5, h: 5, o: 3}. Give prob of sequence pwho.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9.4 and 0.03749?\nAnswer: 0.352406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -38*g + 47*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -383*w**6 + 84*w**2 - w wrt w.\nAnswer: -45960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2876914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of b**6\/60 - 19*b**5\/15 + 91*b**4\/4 + 588*b**3 - 10*b**2 + 18*b. Factor g(i).\nAnswer: 2*(i - 21)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 672, 821, 1016, 1275, 1616?\n\"Answer: 3*c**3 + 5*c**2 + 113*c + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 398?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -5*g**2 + 120*g + 125 = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 1602 = 1607. Which is greater: r or 55\/7?\nAnswer: 55\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 10:41 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q**2 + 258087776*q + 4163081257539136 = 0 for q.\nAnswer: -32260972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -5438*k - 10. Let c be f(-14). Suppose 148*i - c = 142*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 428498?\nAnswer: 2, 7, 127, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66507 is divided by 665.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 775861273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 6. Let x be q(-2). Let s(l) = 18*l. Let y be s(x). Let a be 1\/((2\/16)\/1). Calculate the greatest common divisor of a and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 - x**2 - x - 10. Let i be j(0). List the prime factors of (-4)\/(-2) - i - -2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 12:23 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1360813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, a: 2}. What is prob of sequence aea?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 5. What is the second smallest value in -1\/10, 5, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 42*c + 36*d - 18*d - 19*d - 1383, 0 = -5*c - 5*d + 180 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(3)*1 + sqrt(3) + (sqrt(15)*-2)\/sqrt(5) - ((sqrt(363) - (sqrt(363) + -1) - sqrt(363)) + (sqrt(3) - (sqrt(12)\/sqrt(4) + -2)))**2.\nAnswer: -377 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 192 and 5265984.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (112\/35)\/((-2)\/(-60)). Suppose 17*g = 21*g - z. Suppose 19 = -q + g. Solve 4*t + q = 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {a: 11, l: 3}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2569*a + 10278*a - 2572*a - 2569*a - 2566*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 13 = 5*q, 0 = 3*u + q + 8 - 7. Let p be (31\/(-6))\/(39\/(-6)). Let l = -6\/13 + p. What is the biggest value in -1\/4, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 915.0384ng to milligrams.\nAnswer: 0.0009150384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6262067, 6262082, 6262097, 6262112, 6262127, 6262142?\nAnswer: 6262157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11859 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -b + 4*b - 2*t, -3*b + 1 = t. Let d = 84.87 + 1.13. Let c = -86.01 + d. What is the second biggest value in -3, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1165 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-3) + -1 + (-3)\/(-9). Suppose -4*j = l, -2*j = -3*h + 2*j + 120. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 4*h + 3. Let n be d(-3). Let m be -6*(2\/3 + n). Is 35 - (12\/m - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3ab + -5?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 39819946, 159279782, 358379508, 637119124?\n\"Answer: 39819945*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-6) + 2\/6. Suppose b*y + 4*y - 108 = 0. Calculate the remainder when 79 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-778)\/(-8) - ((-35)\/(-28))\/5 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -171 - -174. Let p be ((-1 - -1) + 256)\/1. Suppose 0*k = 3*k - 4*z - p, -296 = -y*k - 4*z. Calculate the remainder when k is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (0 - (-7377)\/(-882)). Let c = j + -1\/147. Calculate the common denominator of c and (91\/(-2))\/(-12 - -2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 6 - ((-3)\/7)\/(11\/(-77))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*b - 0*b. Let c = b + 5. Let h(t) = t**3 - 5*t**2 - 4*t - 3. List the prime factors of h(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/p**8*p**(-6))**(-12\/5)*(p**(-1)*p**(2\/9))\/(p**4\/p**(2\/15)) assuming p is positive.\nAnswer: p**(1087\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 6*x + 8. Let q be n(-1). Find the third derivative of 12*j**q + 5*j**3 - 14*j**6 - 5*j**3 - 9*j**6 wrt j.\nAnswer: -2760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15435 and 990?\nAnswer: 339570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 11:51 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2200738, 4401478, 6602218?\n\"Answer: 2200740*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -8*x**2 + 13*x + 87. Let g(o) = -17*o**2 + 28*o + 174. Let s = 16 + -9. Let m(z) = s*l(z) - 3*g(z). Differentiate m(d) wrt d.\nAnswer: -10*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/(-18))\/((-21)\/198) and 79\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 16 - 12 + 10 = 0. Let v(o) = -12*o**2 + 2*o + 2. Calculate v(u).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -22399, -22398, -22397, -22396, -22395, -22394?\n\"Answer: h - 22400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + -970?\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = -10*c - j + 10, 2*c + 2*j - 12 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -54 divided by 41\nAnswer: -54\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3*sqrt(60)*-1)\/(sqrt(132)\/(sqrt(11)*3)).\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4*f**3 - f**2 - 5*f - 2. Let b(j) = -3*j**3 - 4*j - 1. Let z(s) = 5*b(s) - 4*g(s). Suppose r + 2*r = -12. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 7430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 112612735537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oowovvwwvoo. Give prob of sequence wwoo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqdeqqekeqdeee. Give prob of sequence ek.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 15 = 3*g + 4*d, -5*d + 11 = -2*g. Solve -y + g = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 2 - 6)*(2*l + 2*l - 5*l) + 5*l + 5*l - 2*l + (2 + 7 - 5)*(-3*l - 4 + 4) to w + h*l and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.806 + 1?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3 + (-3 + sqrt(180)*-3 + 1 + -2 + sqrt(180))**2*-1.\nAnswer: -734 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + -81. Let n = 78 + r. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 63*u**4 + 291*u + 80 - 43*u**4 + 36*u - 135*u**3 + 33*u + 125*u**2 = 0?\nAnswer: -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13198869*k**3 + 78*k + 10290 wrt k.\nAnswer: -79193214*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -36514550 by -167.\nAnswer: 218650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -29 divided by -268911\nAnswer: 29\/268911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/4)\/((-1)\/8*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 140*y**2 - 4*y - 3. Let b(d) = 8*d**2 + d. Give -6*b(v) - w(v).\nAnswer: -188*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y - 5*y - 2*y + 4*y. Let s(p) = -26*p + 14*p + 11*p. What is s(r(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/11616965 and -61\/11616965.\nAnswer: 11616965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 104244 (base 5) to base 4\nAnswer: 321303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -100 + 325214?\nAnswer: 325114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 3) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mexfxxqmmemvvqqvfevq. What is prob of picking 2 q, 1 x, and 1 v?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (693996\/33 - 46\/253) + -9?\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-346500)\/(-1275))\/(-77))\/2?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54608.\nAnswer: 2, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5049, -4981, -4913, -4845?\n\"Answer: 68*j - 5117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 8. Let f(a) be the first derivative of 0*a**3 + 0*a**4 + 0*a + 1 - 1\/2*a**o + 0*a**5 - 1\/6*a**6. What is the second derivative of f(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42085 and 950?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5956 + -82?\nAnswer: -5a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -81, -130, -175, -216, -253, -286, -315?\n\"Answer: 2*z**2 - 55*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24 - 41?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.385 + -0.43763.\nAnswer: 11.94737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 5:18 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -235 + -1592. Let p = d + 2924. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -144?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 63\/2827199?\nAnswer: 63\/2827199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -146, -622, -1412, -2516, -3934, -5666, -7712?\nAnswer: -10072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8569 take away 5?\nAnswer: 8564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 410 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 316546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d*z**3 + 45*d*z**2 - 91*d*z + 36*d - 1632*z**3 + 28 wrt z?\nAnswer: 6*d*z + 90*d - 9792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3912 in -0.03, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nlnlnnlnnnnnllnnnl. Give prob of picking 3 l and 1 n.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13915678 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 5)*(16*w + 2*w + 2*w)*(2*w**2 - 111*w + 111*w).\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**2 + 4*h**2 - h + 1 - h**2. Let j be n(2). Suppose -17 = -j*l + 28. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -157.4 * 45.6\nAnswer: -7177.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -4*c + 15, -3083*c + 28 = -3078*c - 3*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 377*b + 26008. Determine w(-69).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 433203 * 1121.\nAnswer: 485620563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/2 - (-18 + 20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -47 + 72. Let c(i) = 2*i. Let y be c(2). Suppose y*k = -k + 125. What is the greatest common divisor of k and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 201410 by 22.\nAnswer: 9155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*-22*(-2)\/2. Let x = r - 15. Suppose 4*o = 5*v - 0*o + 7, o - x = -4*v. Solve 0 = -4*i + 3*b, b + 3 = 2*i + v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of -11*w**3\/3 - 3*w**2\/2 + 4*w. Is 20 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2 - 463014*y - 3704304.\nAnswer: 3*(y - 154346)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 82102.35nm in millimeters?\nAnswer: 0.08210235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -56170, -112137, -167968, -223663, -279222, -334645, -389932?\n\"Answer: 68*z**2 - 56171*z - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -135 + 340. Let u = -194 + k. Let m(o) = -o**2 - 11*o + 3. Let s be m(-5). What is the highest common factor of u and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14026 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -9632560 greater than -9632559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 479 divide 763604874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, -0.3, -60\/31, -0.1, 4, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9822, 11287, 12752?\n\"Answer: 1465*f + 8357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14425331 (base 6) to base 5.\nAnswer: 112021323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 4*o - 9*o. What is the third smallest value in o, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z**3 + 4*z - 4. Calculate j(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -5. Let c be (-1)\/1*p*-45. Suppose c + 150 = 3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q = 4*a + 24, 12 = -2*a - 7663*q + 7658*q for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.3, -1\/34, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -3*x**2 - 7*x - 6. Determine j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/15 + (-2)\/(-3). Let n(m) = -m**3 - b - m + 3*m - 6*m**3. Let h be n(1). Let w(i) = i + 7. Determine w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26429189367845 - -0.1?\nAnswer: -26429189367844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 666675406?\nAnswer: -666675405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*m**2 + m**3 + 17*m**2 + 2*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 2:32 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 11. Let u = -84.2 + 84. Which is the smallest value?  (a) u  (b) 3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -13 + 16 - 2*g + g - 10 + g**2. What is the tens digit of s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 0.04, -0.3, 3, 2451?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-7 - (-14 + -2))) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001 - 110000?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -157 or -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jmjjjmmjmjjjjmjmjjj. Give prob of sequence mmmm.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20.6 - 17.6. Which is the fourth smallest value?  (a) w  (b) -5\/6  (c) 0.4  (d) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12515 = 497*u - 2575 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1903 - 1875. Let z be 310 - 5\/((-5)\/(-2)). Calculate the highest common factor of l and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 8:13 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5 or -67?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.080315 times -3?\nAnswer: -0.240945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1599, -3159, -4719, -6279?\nAnswer: -7839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 591 - 536. Suppose 61*n = g*n + 18. Suppose -4*c - 2*v + 54 = 0, -c + 0*c + 17 = 4*v. Solve 2*a + n = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*m + 3*m + m)*(m**2 + m**2 - 4*m**2) + 322*m**3 + 41*m**3 + 602*m**3 to the form j*m**2 + s + w*m**3 + t*m and give w.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*g - 70 = 49*g. What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + o + o)*(21 + 22 + 4*o**2 - 50).\nAnswer: -4*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -307, 3, -13, -5.\nAnswer: -307, -13, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -129*d - 6050. Determine a(-47).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of p**6\/3 - 94*p**5 + 11045*p**4 - 2076460*p**3\/3 + 24398405*p**2 - 458690014*p + 1920. Factor y(d).\nAnswer: 2*(d - 47)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11310 and 11310.\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 4*y = -3*h + 21, 1417*h + 9 = 1418*h + 2*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205*h + 110*h + h**3 + 95*h - 36015*h**2.\nAnswer: h**3 - 36015*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -p - 1. Suppose 0 = p*q - 4*q. Suppose q = -5*o - 17 + 87. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -5*q + 2. Let f(p) = 9*p - 4. Let c(x) = 2*f(x) + 5*k(x). Let j be c(-2). What is the highest common divisor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -885 - -885.287. Which is the second smallest value?  (a) 5  (b) l  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 * -0.96\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -2488, -336 in decreasing order.\nAnswer: 4, 3, -336, -2488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/176*((-45)\/(-63))\/((-15)\/(-12)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4576 and 17264.\nAnswer: 379808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-9)*(-3)\/2. Let r(p) = -2*p + 6*p + 17*p + 5*p + 1 - 16*p. Determine r(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 10*i**2 - 8*i + 9. Let v be q(9). What is the lowest common multiple of 51\/1*((-24)\/v)\/(-2) and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*u - 19*u + 8 - 0, 26*u = 8*f + 21*u - 106 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 173 + 11.9.\nAnswer: 184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 537970627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.047 * 8.48.\nAnswer: -0.39856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8060)\/100 - (2\/5 - 0). Let g = c - -83. Calculate the smallest common multiple of 27 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**2 - 70*b + 1637. Give d(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2256, 2245, 2242, 2247, 2260, 2281?\n\"Answer: 4*z**2 - 23*z + 2275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5160?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of a**5\/20 - a**4\/3 + a**3\/6 + 3*a**2\/2 - a. Suppose -5*n = -3*s - 48, 3*n + 36 = -s - 2*n. Let i be s\/14 + 9\/2. What is t(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {j: 1, r: 2, v: 1, d: 3, f: 3, z: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - -111110?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -157560, -157582, -157604?\n\"Answer: -22*q - 157538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8713684 is divided by 622404.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.7 - 0.1. Let g = w + 0.8. Let z = g - 1. Sort -1\/9, z, -3 in increasing order.\nAnswer: -3, -1\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -8. Suppose 0*y + 2*y - 180 = a. Round y to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 47.301207 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 628270333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264*l = 282*l - 34866. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 - 0) + 3 + -5. Calculate the least common multiple of (-4 + 10)*(-5)\/(-2) and (-10)\/z*(-198)\/(-55).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 65533093 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 6*l + l = 155, 5*d = -9*l + 14*l - 135 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 50\/8 + (-282)\/(-376). Let c be (-2)\/4 - 6\/(-12). Suppose c = -0*n - t*n + 28. Solve p - n = 2*r, -4*p - p + 11 = -r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6006551*q**3 - 8642832 wrt q?\nAnswer: -18019653*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9452688 and 1568.\nAnswer: 18905376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -t**6\/120 + t**5\/10 - 5*t**4\/24 + t**2. What is the least common multiple of 42 and m(4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18*k + 4 - 4 - 4*k**3 - 18*k**3 wrt k.\nAnswer: -132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 22 = -2*n, -3*d = 4*n - 565154 + 565226 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -15*s**3 - 5*s**2 - 12*s + 5. Suppose 12 = 288*h - 290*h. Is w(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**5\/6 + 4472*v**4\/3 + 2142487*v**3\/3 - 2169326*v**2\/3 - 7165485*v\/2 - 2146962 = 0 for v.\nAnswer: -8436, -509, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)*2*-3 + (sqrt(66)*-2)\/sqrt(6)*-4)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + (80 - 4 - 0). What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-59)\/4 + 2\/(-8). Does 16 divide ((-110)\/x)\/(2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1588436.0999951 - 1588436. Let k = -0.1 + w. Round k to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2104 + 16833\/8. Which is the closest to -29?  (a) -0.12  (b) x  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -3. Let z be m - ((-1 - 1) + 2). Solve 2*x + i = z*i + 2, 2*x + 5*i = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53 - -79. Suppose 2*w = 4*v - 36, -v - 4*w - 9 = -0*w. What is the remainder when r is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c - 3*c - 2*c)*(-2*c + 7*c - 2*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/9)*l**(4\/9)*l*l)\/(l*l\/(l\/(l*l**8))*l*l**1*l) assuming l is positive.\nAnswer: l**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2291 divided by -2291.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36\/(-12)*16\/(-6) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(84)*-2)\/(2*(sqrt(12) - sqrt(300))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 341 a factor of 175847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/20 + 4\/(-10). Let y(s) = -s + 2. Let i be y(r). Is (-12 + i)\/(1\/(-4)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1371\/539 + 58\/49. Let s = 2527\/3 + -25399\/30. Find the common denominator of s and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 35*s**2 + 207*s - 8. Let g(u) = 137*u**2 + 830*u - 31. Let f(c) = -4*g(c) + 18*j(c). Determine r so that f(r) = 0.\nAnswer: -5, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/50246034 and -65\/21.\nAnswer: 351722238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -42*t**2 - 14091*t - 6992. Give j(-335).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-924)\/(-24))\/77 + 1\/((-20)\/(-62)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 41, 96, 173, 272, 393, 536?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -12 - 245?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*z + 0*z**2 + z**2 + 26*z - 5*z.\nAnswer: z**2 + 37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + 24 + -131 + 30 + 15?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1269.6 - 1270. Which is the fourth smallest value?  (a) p  (b) -19  (c) -13  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5 + (-15)\/(-10))*-12. Suppose -61 + 313 = n*v. Which is the third biggest value?  (a) 18\/5  (b) v  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -18.832, 6\/25, -2.\nAnswer: -18.832, -12, -2, 6\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2415747171 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -91*h**5\/5 + 5*h**3 - 8340*h + 8123. What is the first derivative of s(d) wrt d?\nAnswer: -364*d**3 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 - 107 = 2*r + 19*x, -5*x - 3 - 33 = r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18.831008 - 0.168092. Let r = -46 - -27. Let z = f - r. Round z to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -122 + 168. Let i = h - 18. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*r + 4 = -31*r. Suppose -3*i = -5*i + 20. Calculate the greatest common divisor of i and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h + 4. Let z = 4 + -8. Let n(x) = -x + 3. Let k(y) = z*n(y) + 3*q(y). Let f(l) = 4*l. Give f(k(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -981*y + 22059 = 1395*y + 197883 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * 82611\nAnswer: 6608.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.808 - -4.208. What is the smallest value in -9, 2\/7, f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 8:50 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.024 * 7.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + v + 22. Let w = 16 + v. Suppose -5*u + 0*u + 3*j = -68, -w*j = -4*u + 44. Solve u = -q + 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 20 = -14*r. Suppose -2*t + 0*t - 1 = b, 4*t - 2*b = 18. Solve t*i = i - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8160 and 48.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 - 8*u**2 - 16*u - 14. Suppose -18 + 38 = 2*t. What are the prime factors of a(t)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 14) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nndndnsnsnnsnwddwws. What is prob of sequence wds?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-2)\/(-6))\/((-12)\/(-72)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, a: 7, x: 1, q: 1}. Give prob of sequence gq.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.206 + -1.206. Which is greater: k or 0.58?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3123 + 3145. What is the remainder when (45 - 2) + 0 + -2 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 36*m - 47*m + 20. Solve -2*j = 2, -6*d - 3 = -m*d - 3*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 57*v - 54*v. Calculate the greatest common factor of 348 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1059 a factor of 58447108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*(r\/(r\/r**(3\/10)))\/r))**40\/(r\/((r\/r**(-6))\/r)*r**(-2)) assuming r is positive.\nAnswer: r**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1759, 13248, 44177, 104266, 203235, 350804, 556693, 830622?\nAnswer: 1182311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 306\/5 - 5\/25?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 67*a**2 + 76*a**2 + 2 - 202*a**2 - 6 + 11 as h*a**2 + k + i*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -119\/2 + 60. Let m(c) be the first derivative of -o*c**3 + 0*c**2 - 3\/8*c**4 + 0*c - 1. Let m(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2*f - 13 = 3, 5*o = 3*f. What is u in u**2 - 2 - 2*u + 0*u**2 - o*u + 6*u = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 + 67*b - 1 - 6 - 2*b**3 to u + i*b**2 + w*b**3 + x*b and give x.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -6*j + 288. Let c(f) = -12*f + 573. Give -6*c(b) + 11*u(b).\nAnswer: 6*b - 270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -26*r**2 - 22*r. Let c(u) = -u**2 - u. What is -44*c(l) + 2*t(l)?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2. Let y(s) = s. Let p be 6*((-4)\/12 + 0). Let t(o) = 7*o. Let w(n) = p*y(n) + t(n). Calculate w(d(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -1\/4, 9140, -152?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -220 + -1021201001?\nAnswer: -1021201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4500447.1 rounded to the nearest 10000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/((-35)\/1802) - (-10)\/(-25). What is the greatest common divisor of 40 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*2\/((-20)\/3). Which is bigger: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.7 in -0.5, 0, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 158 - 149. Calculate the highest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -14*o + 3. Let f be g(1). Let v = f + 13. Suppose 2*b = -v*b. Solve -5 = c - b*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m + 183 - 20 + 35 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -85, -95, -5, 5, -29 in decreasing order.\nAnswer: 5, 2, -2, -5, -29, -85, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -26265, -52539, -78837, -105171, -131553, -157995, -184509?\n\"Answer: -2*x**3 - 26260*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of 343*n**4\/24 + 85*n**3\/3 + 160*n**2. Is w(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(sqrt(30)\/sqrt(3)) - (-2*sqrt(84))\/sqrt(12) - 1*(2 + sqrt(14)\/sqrt(2)))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -47*j**2 - 120*j + 1795. Give p(-8).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-13.65675\nAnswer: -4.097025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**4 + 64492*g**3 - 1291760*g**2 wrt g.\nAnswer: 48*g + 386952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590*d - 767*d = 4248 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5\/14, -173, 4?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -3, -6, -1257.\nAnswer: -1257, -6, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 338*z**3 - 3*z**2 + 2*z**2 - 331*z**3 + z**2.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of 0 - 14*w**2 + 7\/30*w**5 + 0*w**4 + 0*w**7 + 0*w + 0*w**3 + 5\/336*w**8 + 0*w**6. Find the third derivative of s(v) wrt v.\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 171615, 343232, 514849?\n\"Answer: 171617*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*h + 16 = -d, -3*h = -15. What is the common denominator of (-134)\/(-8) + (-3)\/d and -32\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1504 divided by -914.\nAnswer: 752\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 864 and 170380?\nAnswer: 36802080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 10 = -42. What is the greatest common divisor of 24 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-2\/5)\/o*o)\/o*o*o)**(-3))**(-50) assuming o is positive.\nAnswer: o**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**2*n + 3206708*f*n**3 + 22206068*n**3 wrt f.\nAnswer: 6*f*n + 3206708*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - 3. Is (-1)\/(-8) + (-7159)\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -6*t**2 + t. Let a(s) = -34*s**2 + 134*s - 2. Give a(y) - 7*r(y).\nAnswer: 8*y**2 + 127*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*h**2*o**4 + 7*h**2*o**2 + 81*h**2*o - 4569*h + 34*o**4 - 13486*o**3 wrt o.\nAnswer: 192*h**2*o + 816*o - 80916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 106*k - 47*k + 136 - 844 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326913011?\nAnswer: 31, 10545581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 0.3  (c) -9655  (d) -2\/17  (e) -4\/7  (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 191?  (a) 0.5  (b) -2\/9  (c) -2\/19  (d) -2\/7  (e) 566\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5643, -5211, -4477, -3441?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9199.\nAnswer: 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177*x - 176*x = 821. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104424531 (base 7) to base 14.\nAnswer: ba3318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 6:14 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9144298 is divided by 4572080.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1152 + -1879. Which is smaller: v or -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 581786640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3 + 55808568*v**2 - 111617130*v + 55808564.\nAnswer: -2*(v - 27904282)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.7 + -0.7. What is the closest to a in -2\/3, 3\/5, 0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46567335631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of 1\/2*w**3 + 3*w**2 + 0 + 3*w. Calculate n(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s*s*s**13)\/s)*s)\/s)\/(s*s\/s**(-3\/4)*s) assuming s is positive.\nAnswer: s**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -57 and 3\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -694980 divided by -38610.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 80*(-228)\/(-15200) - 11\/5. Let i = 3.8 + -4. Sort 0.01, t, i, -5 in increasing order.\nAnswer: -5, t, i, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -6*m**2 - 2*m - 9. Let f(x) = -x**2 + x - 1. Let j(a) = -5*f(a) + g(a). Give j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 688038 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -496 + 497. What is the common denominator of 1089\/(-1430) + d\/2 and -36\/13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -0.1, 0, -2, -9, 22\/15, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4 = -0. Suppose -c*x = -x - 41. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 3*d - 792, -303 = 5*d - 5*g - 1603. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1367604\/(-1092))\/67 + (17 - -2)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -84*x**4 + 6*x**3 + 69*x**2 + 6. Let h(q) = -86*q**4 + 5*q**3 + 70*q**2 + 5. Let j(l) = 5*b(l) - 6*h(l). What is the third derivative of j(p) wrt p?\nAnswer: 2304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -3399*l**3 + 6*l**2 - 10*l - 16. Suppose 3*v + 0*h = -h + 21, 4*v + h = 29. Let z be y(v). What is z rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -24*o**3 + 60*o**2 + 134*o - 5. Calculate i(-3).\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 105331617 and 954?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 25\/10*5\/(50\/(-72))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5993540 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z - 3*z + 8 - 16. Let o be m(-6). Which is the closest to 1?  (a) o  (b) 0  (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 6*p + 30 + 3*p.\nAnswer: 9*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9161 + 9160.903956. Let b = 0.096 + k. Round b to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 2.955258?\nAnswer: 8.865774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2845275584 - 209.\nAnswer: -2845275793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -33 + (-23 - -6) + (11 - (7 - 2)) + -2\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h + 2. Let c be t(-3). Suppose 0*d**4 + 1 - 2*d**3 + 3\/2*d - d**2 + 1\/2*d**c = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(156)\/(sqrt(12)\/sqrt(4)) + sqrt(312)\/sqrt(24))\/(-3*(sqrt(8)\/sqrt(2) - sqrt(4) - sqrt(4))*-5).\nAnswer: -4 - sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c\/(c*c**9\/c))\/c)**(-1\/9) assuming c is positive.\nAnswer: c**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 255 - 249. Suppose 5*n - q - 302 = 0. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + w = -7, 9*r + 2*w = 4*r + 19. Suppose 0*f - r = f. Let x = -13196 - -118763\/9. Sort x, 0.4, f, 3\/7 in increasing order.\nAnswer: f, x, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 54012 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -11131  (b) 2\/3  (c) 5  (d) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 - m**2. Let c(y) = 10*y**3 + 30*y**2 + 12*y - 40. Let a(o) = -c(o) - 6*z(o). Factor a(p).\nAnswer: -4*(p - 1)*(p + 2)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7534 and 0.033501?\nAnswer: -252.396534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5 = -10. Suppose 7*f - 95 = -4*k + 2*f, -f = -h*k + 57. Let z = 201\/10 - k. Which is the third smallest value?  (a) -3\/8  (b) 5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1875 and 184978875.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 1:31 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -d + 145771, 26*d + 874536 = 32*d + 3*r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2  (b) -0.1  (c) 3\/4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 60 = -2*h, -82*u + 84*u + 77 = -3*h. Which is the third smallest value?  (a) 4\/3  (b) -2\/23  (c) 3  (d) -2  (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 212438214 and 53298?\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 985, -554, -2093, -3632, -5171?\nAnswer: -6710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 4*k + k)*(9140 - 5395 + 16312 + 1516).\nAnswer: -21573*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h**4 - 10*h**3 + 5*h**2 + 10*h = 0 for h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*h + 54*h - 293*h - 228*h)*(2 + h**2 - 2).\nAnswer: -435*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 982243836?\nAnswer: 2, 3, 7, 19, 271, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 621 and 21677868?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f = 71 - 11. Let q = 561.8 + -562. Which is the nearest to 2\/11?  (a) q  (b) -0.03  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 412930\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 271537908*c**5 + c**4*f**2 + 20882*c*f**2 - 6528*f**2 wrt c.\nAnswer: 5430758160*c**3 + 12*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v + t = 17*v - 5, -v = 5*t + 11. Which is the closest to -11\/2?  (a) -0.3  (b) v  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -1, 339, 9\/2, -211?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 53, 224, 519, 944, 1505, 2208, 3059, 4064?\n\"Answer: d**3 + 56*d**2 - 4*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1\/8, -4, 21\/2, 18.4 in ascending order.\nAnswer: -5, -4, -1\/8, 21\/2, 18.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 13*v - 229. Calculate p(23).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 804862, 804865, 804870, 804877?\nAnswer: 804886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-9)*q)\/q)\/q*q**(-10))**(-11\/7) assuming q is positive.\nAnswer: q**(209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1961 by -6.\nAnswer: -1961\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -258.893795 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7488731 divided by 7.\nAnswer: 7488731\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8, 51, 198, 475, 924, 1587?\n\"Answer: 7*x**3 + 2*x**2 + 4*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**2 + 225729*w = 0 for w.\nAnswer: 0, 75243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 9:34 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -6*g - 1. Let y be s(-2). Suppose -r = -3*i - y, 2*r = -0*i + 4*i + 16. Let w = 13.6 + -14. Which is the closest to 0.1?  (a) 23  (b) r  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 8:47 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {n: 2, k: 11}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -537, -1853, -4055, -7149, -11141, -16037, -21843, -28565?\n\"Answer: -q**3 - 437*q**2 + 2*q - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10211 - -212201111?\nAnswer: 212120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5388135779?\nAnswer: 13, 23, 67, 101, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lnnhnhlnhn. What is prob of picking 2 l and 1 n?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 645 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/28 and -36\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sszgjsw. Give prob of picking 1 z and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 + 58 - u**2 - 193.\nAnswer: -2*u**2 - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 134*n**4 + 333*n + 1234*n**4 - 4 - 71*n**4 + 4 wrt n?\nAnswer: 15564*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 2) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/3*4\/(-16)*(-35535)\/(-1545).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2780488546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 14*m**2 + 6*m**2 + m**3 + 10*m**2 + m**3 to the form u + y*m + n*m**2 + b*m**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 1334 - 2*m + 3*m - 2664 + 1330. Let q(v) = -19*v. Give y(q(c)).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3092036697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zfff when four letters picked without replacement from nnznfzzkfnfnf?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/2 + (-8)\/(-16) + 2. Suppose -y*b + 13 = 2*a, 4 = 4*b - 2*b - a. Solve -4*o = 4*u - 0*u, 4*o + u = b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1280 + -4 + 0 + 16 + -24 is divided by 91?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**5\/5 + 2752*g**4\/5 + 137898*g**3\/5 + 267548*g**2\/5 + 26480*g = 0 for g.\nAnswer: -1324, -50, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -3\/2  (b) -0.5  (c) -3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 7:19 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(1\/2)\/n*n\/(n\/(n\/(((n\/(n\/n**(2\/9)*n))\/n*n)\/n)*n)*n)*n\/((n*n**(-8))\/n)*n**(1\/2)\/n)**(5\/6) assuming n is positive.\nAnswer: n**(265\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 3*w**2 - 4*w**2)*(-918 + 2637 + 1736).\nAnswer: -3455*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.85479t in micrograms?\nAnswer: 72854790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24225422609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.4717681 to one dp.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/5, 14, -1\/3, -41\/4, 0.3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3 - 1329*y**2 - 588747*y - 86938307.\nAnswer: -(y + 443)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1914*w - 1912*w - 37*b + 177, 0 = 2*w - b - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105076.\nAnswer: 2, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5895466 minus 8.53?\nAnswer: -5895474.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**3\/3 - 17603*n**2\/6 + 194012*n\/3 - 617645\/2 = 0. Calculate n.\nAnswer: -17647\/2, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5398 - 2885. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, v: 1, h: 1, x: 1, d: 2, i: 1}. What is prob of sequence lvx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5745031261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2\/13, -3, 8, -16692 in decreasing order.\nAnswer: 8, -2\/13, -3, -4, -16692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/8*4*1\/(-10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3143 + 4787. Is j a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13002 (base 11) in base 16?\nAnswer: 48cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3*q - 457610 = -91813, 4*d + 292648 = -5*q. What are the prime factors of d\/(-63) + (14\/18 - 1)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 35*a**2 + 3574*a - 38274. Give p(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 30*h**2 - 136*h + 19. Let o be v(34). Calculate the highest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 8\/13665 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1201 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -13*y**3 + 32*y**2 - 12*y - 1652. Let c(n) = -12*n**3 + 28*n**2 - 10*n - 1653. Let s(r) = 5*b(r) - 6*c(r). Differentiate s(g) wrt g.\nAnswer: 21*g**2 - 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 16*1587\/(-506) - 2\/(-11). What is the closest to 2\/7 in 0.5, s, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.0302548 to one decimal place.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t + 14. Let f be z(-12). Let c = 3 - 3. Solve 3*o + f + 13 = c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c + 8. Let t be r(7). Let z(m) = -m**3 - 3*m**2 - 2. Let b be z(-3). Let o be (-56)\/12 + b\/6. Sort t, o, -4 in ascending order.\nAnswer: o, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, g: 1, f: 4, u: 2}. What is prob of sequence ugu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 228 - 224. Suppose -2*l + 1150 = -d*s, 2*l = 23*s - 26*s + 1171. Round l to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 1) + 6 + -11 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.18 or 18540?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 74171748 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: Calculate the highest common factor of 26 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of 287*q**2 + 0 - 47\/12*q**4 - 59\/6*q**3 + 0*q. Find the first derivative of u(r) wrt r.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1688 divide 195743856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*x**3 + 32*x - 34*x + 0*x**3 - 11*x**3 + 36 to q*x + m*x**2 + o + h*x**3 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.918271 meters to kilometers.\nAnswer: 0.006918271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11260, -11269, -11292, -11335, -11404?\nAnswer: -11505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/142 and -99\/8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of i**4\/12 - 3*i**3\/2 - 3*i**2 + 96*i. What is the hundreds digit of n(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 13889902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9.4 + -6.2. Let x = f + -2.7. What is the biggest value in -0.16, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvvvvdvvvddvvvv. What is prob of picking 2 d?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 92803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oap when three letters picked without replacement from {a: 2, o: 1, z: 1, y: 1, c: 1, p: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**12)**(2\/137)\/(m**24\/m**(-11\/4)) assuming m is positive.\nAnswer: m**(-14747\/548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 4415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52 - 52.07. Let w = s - -0.86. Let o = -0.727 + w. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 4:19 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t, 1 l, and 1 i when four letters picked without replacement from aatatatviyvl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2096153*s - 1 + 1.\nAnswer: 2096153*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t + 0*t - 7*t)*((t - 3*t + 0*t)*(-6 + 1 + 4) - t - 2 + 2) + (t**2 - t**2 + 2*t**2)*(-2 - 1 + 1) + 2*t**2 - 3*t + 3*t - 6*t**2 + 9 - 9.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-35) - (74\/5)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35 + -18. Let t = m - 14. Suppose -57 = -q - 2*q. Solve t*u + 3*y = 6, 4*y = 3*u - 1 - q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1261 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p + 17. Suppose -3*a - 2*u + 43 = 2*u, -u + 40 = 4*a. Calculate the remainder when h(0) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, s: 6}. Give prob of picking 2 b.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 27 * 11\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 43435 and 914056.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(76)*-2 + sqrt(76) + sqrt(76))*5*-5 - (sqrt(76) - 3*-2*sqrt(76) - sqrt(76) - (2*sqrt(76) + 5))) + 4)**2.\nAnswer: -144*sqrt(19) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s - 226 = -19608. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*a + a = -4*d - 98 - 115, 139 - 85 = 4*a - 2*d for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*g - 68*g = 34 + 1191 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42) + 2*sqrt(210)\/sqrt(5))\/sqrt(216))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*z - 801 - 636 = 273. Calculate the lowest common multiple of 475 and z.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -76*5\/(-6)*2*(-3)\/5. Which is smaller: -9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(3 + (-30)\/4). Let s be 2\/3 - (-7)\/3. Determine h so that -2\/9*h**s + 2\/9*h - m + 2\/9*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 967116 is divided by 560.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -104 - -1134?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -5*x + 5, -2*s - 15951*x = -15952*x + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**4 - 4*j**4 + j**4)*(-2*j + 0 + 0 + (1 - 3 + 1)*(2*j - 3*j + 2*j) + 3*j - 4*j + 3*j - 2*j + 2 - 2 + 4*j + 0*j - 2*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/6695994 and 111\/14?\nAnswer: 46871958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.894 - 0.89871. What is z rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -479*v - 104421. Let z be k(-218). Let u(s) = -s + 4. Let q be u(-5). Let n = q + -5. Solve n*p - z = 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -3, 10, 2\/87, 25 in descending order.\nAnswer: 25, 10, 2\/87, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-8)\/(-20))\/(0 + 2\/485) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 324*t - 3884. Let i be n(12). Factor 0*a - 20\/7*a**i - 8\/7*a**2 + 4*a**3 + 0.\nAnswer: -4*a**2*(a - 1)*(5*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/56382 and -101\/10.\nAnswer: 281910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -250a732 (base 11) to base 14\nAnswer: -817c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -22 + 26 + -7 - 17\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.7 + -6455663207.8678.\nAnswer: -6455663205.1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 2*m - 34. Let p be c(5). Which is smaller: p or 6\/49?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-6))\/((-16)\/96)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2862 * -1.22281.\nAnswer: 3499.68222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 43, -1, -4, 2 in decreasing order.\nAnswer: 43, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/((m\/(m**(-1)*m))\/m))**40*(m\/(m\/(m*(m**(-3)\/m)\/m)))\/(m**12*m))**(1\/4))**(2\/29) assuming m is positive.\nAnswer: m**(23\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (392\/448)\/((-7)\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*z**2 + 41*z**2 - 25*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 62 + 2306.\nAnswer: 2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 33317663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.5374 - 14.4668. Let i = v - -17. Round i to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168*j - 6882 = 342 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -93*n + 24. Let g be h(-3). Let w = g + -294. What is the highest common divisor of w and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -78*n**3 + n**2 - 16*n + 5. Suppose 0 = 3*o - 5*w - 27 + 2, 4*o + 4*w = 12. Let j be x(o). Round j to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -2*s - 15. Let a(i) = i**2 - 3*i - 7. Let z be a(s). Suppose 0 = 2*g + z*g. Solve -5*x + x - 8 = g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.149983 and -5.\nAnswer: -0.749915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 153, 10, 4, 5 in decreasing order.\nAnswer: 153, 10, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + d**2 - 1. Let t(h) = 2*h**3 + h**2 + h - 3. Let n(i) = t(i) - 3*u(i). Let q be n(1). Let o be 0\/((-2)\/4*-2). Sort q, o, 3 in increasing order.\nAnswer: q, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.4 - -4.4. Let k = m - 9. Let w = 14 - k. Is 2 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59674 is divided by 1809?\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002570370491 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/1745 and 23\/9958017.\nAnswer: 49790085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 4:09 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ure when three letters picked without replacement from {s: 1, r: 3, e: 3, u: 1, t: 2, m: 2}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 + 5*b**2 - b + 6. Let u be j(-5). Let d(r) be the third derivative of 5*r**4\/12 - 9*r**3\/2 + 63*r**2. What is the tens digit of d(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 2 = -10. Suppose -2*s**o - 2*s + 4*s - 2*s = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 299 - 282. Let j be (-4)\/14 - (-885)\/35. Suppose -y*n = -12*n - j. Solve -n*t = 5*b - 40, -3*t - 2*b + 0*b = -21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2183 take away -1619?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n. Let j(m) be the second derivative of 29*m**4\/12 - m**3\/6 - m**2 + 11*m - 28. Calculate j(b(l)).\nAnswer: 29*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -492768 or 0.139?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*p + 4*p - p)*(-3 + 3*p + 3) + 41 - 5*p + 3*p**2 - 41 as b + z*p**2 + g*p and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -2819*d**5\/5 + 1870*d + 816. What is the derivative of s(m) wrt m?\nAnswer: -11276*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k + 1. Let f be s(4). Let t be (2\/(-4))\/(12*7\/(-504)). Sort -1, f, -5, t in descending order.\nAnswer: t, -1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1367*r - 625*r - 684 = 571*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h - 3*h + 4*h)*(-7 + 2 + 0).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1\/2, 0.3, 359.\nAnswer: -4, -1\/2, 0.3, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/29 in 3, 1\/12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z. Let d(l) = -l**2 - 2*l. Let n(b) be the first derivative of -b**3\/3 - 3*b**2\/2 - 2. Let a(m) = -3*d(m) + 2*n(m). Give c(a(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**2\/3 - 608*b + 138624 = 0. What is b?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -5, -160\/9, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 = 4*n - 2*c, 5*n - 5*c = -10*c + 70. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8 + 14 + -7)*-37. Solve 4*y = 8*y - 12, -5*g = 4*y - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21 + 7 + 2479*y - 41 + 2393*y + 11 in the form q*y + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (330\/(-25))\/(-11) + -1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 j when four letters picked without replacement from {z: 2, t: 3, r: 8, j: 3}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 97\/(-5) + 2\/5. Let x(w) = w**3 + 20*w**2 + 18*w - 28. Let c be x(a). Is -9 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*g - 28 = 48*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -5*n**3 - 7*n**2 + 309*n - 42. Calculate z(-9).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 12*i**2 + 8*i + 10. Let k(j) = 3*j**2 - 5*j - 5. Let v(n) = -8*n**2 + 14*n + 14. Let g(r) = 11*k(r) + 4*v(r). Calculate c(t) - 10*g(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-48))\/((-5)\/((-140)\/(-7)))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/2120 and 163\/270?\nAnswer: 57240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/7)\/((-91)\/((-30576)\/96))*9\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 1384.9 - 1318. Let n = m + -3.9. What is the closest to 2\/5 in 0.2, 5, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1230 - 37*v**3 - 1230.\nAnswer: -37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 5*j - 6. Let y be w(6). Let n be (y\/(2 - 3))\/1. Let q = 1161.9 - 1163. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 63528\/19 + -529040\/171. Let b = k + -250. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53914, 53924, 53934?\nAnswer: 53944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 209, 201, 185, 161?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*f - 41 = 1183. Calculate the greatest common factor of f and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 PM and 3:39 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 743.7811 litres in millilitres?\nAnswer: 743781.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 82, 119?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 820 and 59204.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 71896618 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: What is -773 (base 9) in base 4?\nAnswer: -21321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/4*792\/(-110). Is -25 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -610 = -5*z + 905. Suppose -a - 5*x = -0*x + 1, 2*a + 4*x = 22. What is the remainder when z is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5170.049ug?\nAnswer: 5.170049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 18 = -3*x + 7*b, 2*b + 2 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 29 - 3 - (3103 + -3100)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**2 - 5*y - 3. What is k(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkassaasskkakkkkaa. Give prob of picking 1 a, 1 k, and 2 s.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 653229406?\nAnswer: 653229406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -63214.3649 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1122645354.9 to the nearest 1000000.\nAnswer: 1123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -163601 and -161511?\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 1)*(4*l + 2*l - 5*l)*(0 + 0 + l)*(-2*l - 2*l + 3*l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -34*a**4 + 3*a + 5. Suppose 0 = 2*k - 7*k - 10. Let m(o) = 33*o**4 - 2*o - 5. Let h(y) = k*s(y) - 3*m(y). Differentiate h(t) with respect to t.\nAnswer: -124*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 0)*(3*b**2 - 32751 + 2*b + 65517 - 32796)*(-4 + 3 - 1) to the form z + y*b + c*b**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 99.9 - -248.1. Put m, -0.5, 1 in descending order.\nAnswer: m, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 47 = -3*b, -2*h + 80 = -5*b + 7. Let j be (-4)\/(-5)*b\/(-42). Let p = -35.78 + 35.96. Which is greater: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rvdjvjrd. What is prob of sequence jr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 3:36 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7924\/22 + 4\/(-22)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l + 0*l + l + (-2 + 2 - l)*(-1 + 1 - 1) + 3*l - 2*l + 0*l + l + 4*l - 3*l + (2*l - l + l)*(-3 - 1 + 2) + 2*l + 0*l + 0*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of -6*i**2 + 9 + 0*i + 5\/24*i**4 - 1\/2*i**3. Let r(a) be the second derivative of u(a). Calculate r(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13120 (base 4) in base 15?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(408\/(-2725)) + (-24)\/(-96). Let t = n + -15\/34. What is the common denominator of -83\/4 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/1020 and -43\/9078.\nAnswer: 90780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 20, 4*g + z + 96 = 23. Let i be (-17 - g)*(-1 - 0). Suppose -2*c = 7*c. Are c and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oaa when three letters picked without replacement from {n: 2, w: 4, a: 2, i: 3, e: 8, o: 1}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*l + 21*l = -3*r + 2379, -3181 = -4*l - r. List the prime factors of l.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7390.843 millennia?\nAnswer: 739084.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*z - 287, -z - h + 14 = -129. List the prime factors of z.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/4  (b) -2  (c) -6  (d) -5  (e) 3  (f) 761\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*t + 4*t - 8*t - 150 - 420 - t.\nAnswer: 22*t - 570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2\/15, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14450, 14381, 14326, 14291, 14282, 14305, 14366, 14471?\nAnswer: 14626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 621 + 1382. Suppose k = 3*z + u, k = 3*z - 3*k + 2009. Let m = z + 1936\/3. Find the common denominator of m and 29\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 562592, 1125119, 1687658, 2250215, 2812796?\nAnswer: 3375407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 143041913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-6))\/((-32)\/(-144)) + (-37)\/(-444)*-726?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -339 - -519. Suppose 0 = -14*y + 1593 - 95. Let z = w - y. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11726764 (base 8) to base 16.\nAnswer: -27adf4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/4)\/(x\/(x**(-1\/5)\/x)*x*x))\/(x**18\/(x*x**(-7)\/x)))**(2\/63) assuming x is positive.\nAnswer: x**(-193\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2059940833 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: What is the common denominator of 73\/32 and -67\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19535.3 - 19537. Let b = 0 - 4. What is the fourth biggest value in -1\/2, r, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, 249, -12\/1589?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 805*s + 140 = 812*s. Calculate the greatest common divisor of 480 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -3*p**2 + 3*p - 2. Let a be d(2). Let m = 12 + a. Let b(w) = 6*w - 5. What is the remainder when b(m) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**1)**(-11\/3)*h*(h**(-3)\/h)\/h*h*h**(-2\/7)*h)**(5\/17) assuming h is positive.\nAnswer: h**(-625\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from bbbubeube.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13530 and 1557795.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 plus 319951?\nAnswer: 319890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.28 - -0.28. Let p = -11 + 7.6. Let o = p - -3. What is the closest to -1\/2 in o, 3\/5, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16610 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -202*y**5 + 135717995*y**4 - 2616*y - 135717995*y**4 - 4944*y wrt y?\nAnswer: -4040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 6*p - 5. Suppose q - 6 = -n, 4*q - 9 = 2*q + n. Determine i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*g + 12*x = 155, 5*x - 70 = -127*g + 122*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n + 36. Let r be v(0). Suppose -2*g - g = -r. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 23450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 57419 and 57421 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/18*-6*312 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*g**2 + 17*g**2 - 41*g**2 as t*g**2 + k + v*g and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3372, -13428, -30174, -53616, -83760, -120612?\nAnswer: -164178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 483785 is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-17 + 1040\/60 - (-66)\/(-33))\/((-55)\/306)\nAnswer: 102\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**5 + 518*u**4 + 2552*u**3 + 3040*u**2 - 2048*u - 4064.\nAnswer: 2*(u - 1)*(u + 2)**3*(u + 254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**2 - 16266408*r + 390396096.\nAnswer: -4*(r - 24)*(r + 4066626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 2*b**2\/9 + 1358*b\/3 + 104572\/9 = 0.\nAnswer: -2011, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -2. Let v = 0.175 - 0.075. What is the nearest to v in c, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-14) - 165\/(-35). Suppose 60 = -5*m + o*c, -3*m + c = m + 45. Let j = m + 12. Let d(x) = 2*x**2 - 1. What is d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3*g + 3728 = 407, -2*g - 2218 = 2*i. Let o = i - -1690. Suppose o = 5*f + f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = a - 5. Let u(t) = t**2 - 18*t. Let n be u(18). Suppose -w - a*w + 376 = n. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2482*-38\nAnswer: 94316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21734 - 6141. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -19.6 and -1.6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -219, -1355, -3431, -6447?\n\"Answer: -470*u**2 + 274*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -155 + 461. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -33375, -48, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1153, 2293, 3433, 4573, 5713?\n\"Answer: 1140*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 10.4, 0, -3, -4, 3\/4, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 2)*(-124*x + 61*x - 170*x)*(0*x + x + x) to the form m + i*x + j*x**2 and give j.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 142 and 0.1.\nAnswer: 14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -184 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 193672 + -113877. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p - 11. Let h be w(-1). Let b(i) = 12*i**2 + 21*i + 102. What is the hundreds digit of b(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of -j**5\/30 + 11*j**4\/24 + j**3\/6 - j**2 - 5*j + 200. Let s(w) = -10*w**2 + 55*w + 6. Give 11*b(n) - 2*s(n).\nAnswer: -2*n**2 + 11*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -60.59 + 47.59. What is the third biggest value in 3\/8, p, 9, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1613*j - 221 = 1596*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 156*v + 80*v + 79*v to the form n*v + d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 9754, 9809, 9868, 9931, 9998, 10069?\n\"Answer: 2*a**2 + 49*a + 9703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, p: 1, t: 2, w: 1, c: 1, z: 4}. What is prob of picking 1 w, 1 z, and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20\/11 - 89\/55. Let p = 0.42 - 0.02. Let x = 0 + p. What is the nearest to 1 in -2, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 267372722 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.50421687897563 and 5.\nAnswer: 7.50421687897563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 87930135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -128 - p**3 - 5*p + 126 - 6*p to the form g*p**2 + k + c*p + n*p**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*o - 105 = -5*p, 1410 - 1415 = -5*p - 4*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 28\/48 + 6\/(-24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7949142137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h**5 + 0*h**5 - 2*h**5)*(-8 - 3 + 3).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44*n*s**3 - 271*n*s - 42*s**3 - 2*s wrt s.\nAnswer: -264*n*s - 252*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 371376462 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h - 4*q - 2, -16 = -39*h + 36*h - 13*q - 23 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-264)\/(-2310)*5\/4*(-5)\/(20\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 times -2041?\nAnswer: 183.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 13.936. What is n rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in fourty-one halves of a millisecond?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 2 + 1 - 2 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + a = 994. Let f = 125 - a. What are the prime factors of f?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 13287 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tqly when four letters picked without replacement from {y: 3, l: 3, q: 1, t: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228581 is divided by 24916.\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 4. Let m be ((-5)\/20)\/(1\/(-12)). Let i be 0\/(-1)*(m + (-21)\/6). Solve i + z = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**(-1\/2)\/q))\/(q*q*(q\/(q\/(q\/(q*(q\/q**(2\/3))\/q*q))))\/q*q)*q**0*q**(-1\/7) assuming q is positive.\nAnswer: q**(29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -59961108 by -28883.\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (25 + -9) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 438*t - 219. Let u(y) = 3*y - 1. What is -d(h) + 219*u(h)?\nAnswer: 219*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/14 - (-1005)\/35. Suppose -6*g + 1 = -a. Suppose -4*o + 3*j + 141 = 0, -3*j = -2*o - g*j + 88. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d - 3*d + 3*d + (-368*d + 874*d - 81*d)*(-1 + 2 + 1 + (0 - 3 + 2)*(4 + 0 - 2) - 1 + 0 + 0) to x*d + g and give x.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 = 4*v - 0*v - 47*k + 59*k, 4*v + 1 + 28 = -k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 83, 184, 323, 506, 739, 1028?\n\"Answer: k**3 + 13*k**2 + 55*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from moyyyoomooomymommmym?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/2 + 5*i**2\/4 + 3*i\/4.\nAnswer: -i*(i - 3)*(2*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence unnn when four letters picked without replacement from {n: 5, u: 7}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -174*r**2 + 3*r - 2. Let x(b) = b**2 + b. Let j(t) = -c(t) + x(t). What are the prime factors of j(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -28*u**3 + 3*u**2 - u - 2. Let s be w(-1). Solve 2*o + 4*j = -s, -5*j - 50 = 5*o - 0*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -1 - (9 - 21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + 5*m - 2*m)*(-3 + 1 - 1)*(0 + 18 + 5).\nAnswer: -207*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - ((-78)\/20)\/3)*(41 + -43).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 676449429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*r. Suppose -6*m = -2*m - 100. Suppose -5*z + m = -r*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23650*h**5 + 2*h**4 - 3*h**2 + 3750*h?\nAnswer: 1419000*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from cxydcyyupcu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x + 4. Let j be f(0). Suppose -j*s + 4*i = -8, 4*s + 4*i + 0*i - 16 = 0. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 268 + -268. Suppose -3*v + 0*v = 5*t - 15, -3*t + 9 = 4*v. Let b = t + 0. Solve 3*u + b*y = -24, 2*u + 3*u - 5*y = j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - r + 5*r = -6, -i = 3*r - 5. Let s = -1 - -3. Suppose -s*f + 0*m + i = -3*m, 6 = 2*f - 2*m. Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.31 from -2.954923525.\nAnswer: -3.264923525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4188 in -0.17, 4\/3, -0.4, 3\/7, -11?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5604, -4, 1, 5, 0 in descending order.\nAnswer: 5, 1, 0, -1, -4, -5604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 4*s + 20 = 8, 5*s - 15 = 2*o. What is the remainder when 23 is divided by 12 - 1\/2*o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3, 4, 19, 42, 73, 112, 159?\n\"Answer: 4*l**2 - 5*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -24*m + 16. Let g(y) = -2*y**2. Let s(i) = 1276*i**2. Let z(p) = m*s(p) + 696*g(p). Let u(n) = 3*n. What is z(u(o))?\nAnswer: -1044*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13732 + 6920 - v + 7792)*(3 + 0 + 0).\nAnswer: -3*v + 2940","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/223 in -1\/3, -0.1, 0, 0.62, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -16*g + 21*g + 3*g + 0*g - 4*g + 13*g**2. Let v(y) = 2*y**2. Determine z(v(t)).\nAnswer: 52*t**4 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06211277395 rounded to 5 decimal places?\nAnswer: -0.06211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 698 is divided by 197?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0784362 - 0.07922. What is z rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39454.024097 - 2\nAnswer: 39452.024097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -35*l**2 - 243*l + 18. Determine n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 414988 is divided by 6916.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007274041 to five decimal places.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 51977 and 28?\nAnswer: 1455356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 0*p - 3*p + 80, 0 = -3*c - p + 200. Solve 0 = -9*g + 22*g - c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 980413 is divided by 81699.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 12 = 2*c - 5, 2*l + c = 10. Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0149 + -0.014899767. What is z rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 924042620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, 16\/40489, 1\/10 in increasing order.\nAnswer: -0.08, 16\/40489, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 4*w. Let f be t(4). Suppose -4*b + 3*c - 44 = 0, f*b - 4*c + 24 = -b. Let s be (-12)\/b*4\/(-10). Do s and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6222 + 6226. Sort 9, -1, -5, 1, v.\nAnswer: -5, -1, 1, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (0 - 15) + 0 + 4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxlxplpxxxppxpxplxxl. Give prob of sequence lp.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45706.\nAnswer: 2, 22853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of -b**4\/6 - 5*b. Let u(r) = -9*r. Determine u(p(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 2*d**3\/15 - 2457102*d**2\/5 - 19656848*d\/5 - 117941152\/15 = 0.\nAnswer: -4, 3685661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**1)\/(m\/(m\/m**(2\/7)*m*m)))**(-11\/6)\/(m**(-3)\/m**(1\/7))**(2\/29) assuming m is positive.\nAnswer: m**(-594\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 190568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4432 + -1308. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 67 = -47, 1 = -3*l + 4*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -53 + 59 + -2 + 1 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/2))**(-2\/19)*(p**(1\/3))**(-2\/57) assuming p is positive.\nAnswer: p**(7\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6456503, -6456520, -6456537, -6456554, -6456571?\nAnswer: -6456588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-48))\/(7\/(-53)). Let p = w + -4\/21. Let x = 385564 + -385565. Which is the smallest value?  (a) 5  (b) p  (c) x  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 8, -11, -6, 1 in decreasing order.\nAnswer: 8, 1, -6, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -115 + 18. Let z = -31 - f. What is the remainder when z is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12171 - -231. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 5*i + 4*c, 3*i + 92*c - 96*c - 13 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*y - i = -5, -3*i + 15 = -y. Suppose h = n - 0 + 2, 4*h - 2*n - 4 = y. Let f = h + 2. Solve s = -f*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23511.\nAnswer: 3, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3715118046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 - 2*z + 13. Is 7 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -82908 greater than or equal to -911984\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1664709 plus -0.97?\nAnswer: 1664708.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71, 68, 47, -4, -97, -244, -457?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 197923, 197924, 197925, 197926, 197927, 197928?\nAnswer: 197929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -772600285*a**2 + 386300170*a**2 + 386300113*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 3 + 5 = 0. Let o(h) = -6*h**2 - 2*h - 2. Let t(z) = z**2 + z + 1. Let w(f) = p*o(f) + 2*t(f). Let s(a) = a**2. Give s(w(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o - o = -26. Put -4, -16, o in descending order.\nAnswer: o, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.5 + 9.8. What is the closest to 0.2 in -2, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1287 and 19851.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -83714 - -79901.1. Let x = i + 3856.989. Let w = 44.4 - x. What is w rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4*v**3 + 3*v**2 - 1. Let y(b) = 7*b**3 + 5*b**2 - b - 1. Calculate 5*u(j) - 3*y(j).\nAnswer: -j**3 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000287 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(56))\/sqrt(2))\/(sqrt(64)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22159.9 - 22155. What is the nearest to 0 in 0, -2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -781*o**2. Let u(c) = 236*c - 64. Let n(s) = -11*s + 3. Let j(k) = -64*n(k) - 3*u(k). What is j(y(g))?\nAnswer: 3124*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/286 and -24\/715.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**5\/5 - 18258*o**4\/5 + 10952*o**3 - 36504*o**2\/5 = 0.\nAnswer: 0, 1, 2, 9126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19396916 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 2*x**4\/9 + 2734*x**3\/9 - 304*x**2 = 0.\nAnswer: -1368, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2598 - -2595. Let d(t) = -2*t + 18. Let z(h) = h - 6. Give s*d(o) - 8*z(o).\nAnswer: -2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((g**(-1\/24)*g*g)\/g)\/g)\/(g**(-17)\/g))\/(g**(-8\/5)\/g**(2\/5)))**22 assuming g is positive.\nAnswer: g**(5269\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -22542 divided by -115\nAnswer: 22542\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.350923324 rounded to 4 dps?\nAnswer: -0.3509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6689663626 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 9*y**3 + y**2 + 2*y - 2. Suppose 18 - 22 = -q. Suppose -2 = q*d - 6*d. List the prime factors of v(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.15949 millilitres in litres?\nAnswer: 0.06815949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 26\/(-4))\/(10\/180). What is the highest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -11\/20, -1, -3, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {u: 1, h: 1, v: 1, w: 1, f: 2, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - f + 44 = 0, -47 = 22*i - 23*i + 2*f. What is the remainder when i is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -66719560 divided by -2006\nAnswer: 33260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 + -18. Let s = h - 16.5. Let z = 13 - 14. Which is the second biggest value?  (a) 0.5  (b) z  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 10:19 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 78\/215, 1\/6, -1\/6, 3, 2, 1\/3 in increasing order.\nAnswer: -1\/6, 1\/6, 1\/3, 78\/215, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*b + 15*b - b)*(5*b**2 + b**2 + 2*b**2 + (0 + 2*b + 0)*(b + 3*b - 3*b)).\nAnswer: 290*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4784*k = -14514*k - 6687*k - 689514 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3178988.\nAnswer: 2, 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.69475l in millilitres?\nAnswer: 21694.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 - 7*c**2 + 9*c + 7. Let t be p(-8). Suppose -i + 7 = -3*j, 0 = -21*j + 23*j + 4*i. What is the fourth smallest value in 1\/3, 0.4, t, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*g = 59, 2*i - 5*g + 2*g - 146 = 0. Suppose 0 = 4*d - 2*v - 14, d = -d - 2*v - 2. Suppose -4*x = -x - 3*l - 42, d*l = 5*x - i. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010184 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (9 + (-6 - (7 - 11)) + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -6*g**2\/7 - 20466*g - 50657772\/7 = 0.\nAnswer: -23518, -359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6575287.\nAnswer: 983, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -136682\/193 greater than -707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d + 22. Let o be l(-14). Let j(p) = -p**2 - 6*p + 8. Let h be j(-6). Calculate the greatest common divisor of o and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3645 + -3640. Solve -3*w + 5*q = -5, -2*q = 7 - c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - y = -0*c + 15, -3*y = 4*c - 35. Suppose c*t = -z, -3*z - 5*t = -7*z. Let h = 73 + -75. Sort z, h, -4.\nAnswer: -4, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 4*c + 15 = 2*w, -w + 8 = 3*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 4*a - 4*n, -4*a - 27 = -0*n + 3*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17902844 plus 718?\nAnswer: 17903562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/4380 and -3\/40.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 10, l: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**2\/13 - 20*i = 0. Calculate i.\nAnswer: -130, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15\/46?  (a) 6  (b) -3  (c) -22  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 5*p - 2. Let t be u(-7). Let w = t - -45. Let q(f) = 22*f - 15. Is q(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 5*f**2 - 6*f - 55. Let b(g) = 10*g**2 - 14*g - 109. Calculate -3*b(z) + 7*u(z).\nAnswer: 5*z**2 - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/((-5)\/3))\/((-2)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28946 and 28946.\nAnswer: 28946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -67180 by -2477.\nAnswer: 67180\/2477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 215 (base 7) in base 13?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of 2*g**5\/35 + g**4\/7 - 2*g**2\/7 - 2*g\/7 - 2. Factor s(z).\nAnswer: 2*(z - 1)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 4. Suppose l = -3*p - 12, 0 = 3*o + p - 3 - 5. Calculate the common denominator of 43\/o*(-4)\/(-10) and -23\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**2\/2 - 118753*v\/2 - 1544127 = 0. What is v?\nAnswer: -26, 118779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -133, -136, -139, -142, -145, -148?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7059 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1484885?\nAnswer: 5, 131, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 27 = -j, 4*s + 39 = 5*j - 9. Suppose j*u - 14*u = -96. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1045741 (base 9) to base 12.\nAnswer: 23123a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 774*j = -i + 769*j - 6, -4*j + 12 = -2*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 5:55 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1412561 (base 7) to base 11.\nAnswer: 119489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4356*i**3 + 313 + 4353*i**3 + 298 - 904 + 293.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6184 - 6179. Solve -2*d + 27 = -s*x, 3*x + 10 = 5*d - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-189)\/333*(-6)\/(-21).\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 349 + 772 = 3*m - 24*m for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.05 and -43456.\nAnswer: -43456.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2*f - 1. Let x = f - -14. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -2\/13  (b) -88  (c) -60.3  (d) 1  (e) -1\/2  (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6981283ug in kilograms?\nAnswer: 0.0000000006981283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 77.66 + -85.2. Round a to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 405 = -5*l, k = 4*l - 8*l + 324. Suppose 5*c - h - 14 = 0, -2 = 5*c - h + 4*h. Suppose -415 = -c*t - l. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/20)\/(14\/(-175)*-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.18 take away -3.6?\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -46.2 * -97.012\nAnswer: 4481.9544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3612 and 294.\nAnswer: 25284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-471)\/(-18) - -3) + (-1)\/6. What is the greatest common factor of h and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 52 + -44. Solve 3*n + 4*s = -r, -3*s - 4 = -n - s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 11:27 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154 = 124*t - 402 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 757739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 3*w + 32 - 50 = 0, -2*c + w = 11. What is the second smallest value in -0.12, c, 17?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 10.69.\nAnswer: -1.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -79*(-4)\/(-2)*(-5 + -10). Suppose -5*q - x + 1321 + 1656 = 0, 4*q - 5*x = z. Find the common denominator of (7\/5)\/(42\/q) and 52\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -145.422941?\nAnswer: -29.0845882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of 16 - 1\/2*w**3 - 24*w + 6*w**2. Suppose i(f) = 0. Calculate f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**5\/7 + 12*h**4 + 96*h**3 + 2512*h**2\/7 + 4224*h\/7 + 2304\/7 = 0 for h.\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/16 + (-68)\/(-32) + -1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2822.5 + 2823. Which is the nearest to 0.4?  (a) y  (b) 27  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*y - 700 + 700 in the form c*y + g and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/4)\/((-2)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18a79 (base 11) in base 7?\nAnswer: -140336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -222 - -363. Let o = -139 + l. Solve 0*r = o*z - 4*r + 16, -4*z + 7 = 5*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + 57 + 28 + -122.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/9)\/((-1)\/15). Suppose u = -u + g. Suppose 4*s - 25 = 5*x, 0 = -u*x - 3*s + s + 5. Which is smaller: x or -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3166 - -3171. Let s = 16 - -11. Let m(d) = -d - 2. Let y be m(-5). Solve -4*o - s = -y*u - o, 0 = a*u - 4*o - 41 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**3 + m**2 + 167. What is i(-6)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + n**2 + 2*n + 1. Let i = 91 - 90. Let k(z) = 24*z**2 + 12*z - 16. Let f(h) = i*k(h) - 4*q(h). Factor f(a).\nAnswer: -4*(a - 5)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -6.6219096?\nAnswer: 13.2438192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*t + 20 + 280 - 3 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3730 + -3732. Let x = -17 + 12. Which is the nearest to 0?  (a) 0.2  (b) x  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -9*k**2 + 34*k - 4. Let w(c) = 5*c**2 - 17*c + 2. Let m(x) = -3*r(x) - 5*w(x). Is m(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*o + 3 = -37*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**2. Let y(a) = -351 + 33 - a + 960 + 838. What is c(y(l))?\nAnswer: 2*l**2 - 5920*l + 4380800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -g**7\/2520 - g**4\/8 - g**2. Let k(l) be the second derivative of b(l). Let f(n) = -5*n**2. What is k(f(v))?\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 606510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 50\/9?  (a) 1  (b) 0.02  (c) 6  (d) -0.59  (e) 0.2  (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 + 5*p + 3. Let l be c(6). Let h(x) = -x**3 + 2*x - 1. Let m be h(1). Put l, m, -5 in decreasing order.\nAnswer: m, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 5*b - 448, 4*z + b + b = -476. Let c be ((-20)\/9 - -2) + (-611)\/z. List the prime factors of (c\/(-3) - -2)*564.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 5005.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -191 + 963. Suppose v + 179 = s. List the prime factors of v.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 243\/11 - 22. Let d = -18.43 - -0.43. Let y = 19 + d. Which is the closest to y?  (a) h  (b) 3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -0.2, 0.14, -19?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1241275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 - -31.5. Sort z, -2\/5, -0.5, -0.03.\nAnswer: -0.5, -2\/5, -0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 13 - 3. Suppose -f*l = -2*l + 4. Let t = l - -24. Solve -k = 5*y - 5 - t, 14 = -3*k + 4*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1876112 and 1127.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -27. Suppose 2*b - 28 = 2*x, 3*b - k = -x + 23. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nxnntvnvnw. What is prob of sequence nxn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 101331 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 19\/28 - (-1)\/(-4). Let x = -75.4 - -78.4. Which is the nearest to -1\/3?  (a) t  (b) x  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -257, -332, -407, -482?\n\"Answer: -75*r - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 524442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of 14*y**5\/75 - 22*y**4\/15 - 46*y**3\/3 - 206*y**2\/15 + 176*y\/15 - 1001. Solve j(r) = 0 for r.\nAnswer: -4, -1, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 28*n + 8. Let v(g) be the second derivative of -3*g**3\/2 - 3*g**2\/2 - g - 46. What is -3*k(q) - 8*v(q)?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2225 - 2225. Solve b = 2*x + 7*x - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6969 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: Let q(o) = -36*o**2. Let w = 461 + -462. What is q(w)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u**(-2\/7)\/u)*u)**(-29))**(18\/13))**(1\/49) assuming u is positive.\nAnswer: u**(-12006\/4459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -107*x**2 - 3*x. Let i(v) = -v. Give i(l(z)).\nAnswer: 107*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4*7\/(-1995)*(-71)\/(3763\/795)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 3)*(-y**5 - y**3 + y**3) + (-44*y + 44*y + 29*y**3)*(3*y**2 - 3*y**2 + y**2) + 6*y**5 - 18*y**2 + 18*y**2.\nAnswer: 36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 9098800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/5 - 494\/(-10). Let g(l) = -20*l - 50 + 18*l + r + 9*l. Determine g(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134, 255, 366, 461, 534, 579?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1881\/1254*(-3)\/(9\/28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 + 26*f**2 - 50*f + 170. Let r be a(-28). Suppose 10*h - 33 - 87 = 0. Solve 0 = 4*d + 4*u + 20, -r*u - h = -d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3*v - 2*v - 2*v)*(195*v**3 + 711*v**2 - 711*v**2).\nAnswer: -195*v**4 - 390*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1770 - 1770.32. Sort 2\/7, f, -3\/5 in increasing order.\nAnswer: -3\/5, f, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/24 + 32*q**2 - 2. Let a(t) = 3*t**3 + 2*t**2 - t - 1. Give a(y) - 2*h(y).\nAnswer: y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s**2 - 11692 + 107*s - 6*s**2 + 11692 - 52*s - 55*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 341256203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*p**2 + p**3 - 4*p**2 - p**2 - p**2 - 2*p as u*p**2 + k*p**3 + b + x*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*q*r**3 - 110*q*r**2 - 148*r**3 wrt r.\nAnswer: -12*q - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37731 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -68, 5, 7 in decreasing order.\nAnswer: 7, 5, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 12, 0*k = -j - 2*k - 3. Solve -4*p + j*p - 18 = -5*f, 2*p = 4*f - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-66)\/(-14) - 18\/(-63). Suppose -d*w + 48 = -2*w. What is the remainder when 61 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {o: 1, x: 1, j: 11, d: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 213750 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-700)\/(-1925))\/((-1)\/((-22)\/20)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o**3 - 2*o**2 - 5*o + 1. Let m(a) = -2*a**2 + 61*a + 33. Let t be m(31). Let g(h) = -10*h**3 - 11*h**2 - 26*h + 5. Calculate t*g(r) - 11*x(r).\nAnswer: 2*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4488)\/(-136) + -12*5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 381.113152 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 7*m**2 - 3*m - 16. Suppose 3*s = -15, 5*w = 8*s - 11*s - 50. Let f be c(w). Solve n - 3*v = -0*n - 8, -f*n + 5*v = 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((-7)\/((-28)\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 9 = -8*f. Suppose 3265 = -f*a + 14*a. Suppose -3*d = 218 - a. Is 43 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 22*h**2 + 2. Let y be z(2). Let i = -62 + y. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 - 12. Let z(p) = 3*p**2 - p**b + p**2. Let a(q) = -4*q. Calculate z(a(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 126795048 and 101274.\nAnswer: 126795048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*n**4 - 20 + 20)*(0 - 3 + 1 + (-3 + 6 - 2)*(-1 + 2 + 0)).\nAnswer: -21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((2 + sqrt(684))**2 - (-1*sqrt(171))**2) + ((3 + sqrt(1216))**2*5 - sqrt(1216)) + sqrt(1216))*5*5.\nAnswer: 6600*sqrt(19) + 166050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*c**(10\/3)*c)\/(((c*c**(-16))\/c)\/c))\/(c**(-3)\/c**(-28)))**23 assuming c is positive.\nAnswer: c**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -16 - 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2718409763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/27*-3 - (-4)\/(-6). Suppose -4*y = -j*l - 2, l + 3*l - 22 = -5*y. Is 4 a factor of (15\/6)\/(y\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51 and 663?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 22770, 22715, 22556, 22239, 21710, 20915?\n\"Answer: -9*u**3 + 2*u**2 + 2*u + 22775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54.2 + -56.2. Put h, 1, 0.2, 0.3 in descending order.\nAnswer: 1, 0.3, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*s + 7. Let y(h) = -h + 21. Let c(f) = -2. Calculate s*y(j) - 22*c(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qjuqujuqqqqxbbxtujj. What is prob of picking 1 b, 1 t, and 1 u?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -48, -340, -1134, -2682, -5236, -9048?\n\"Answer: -42*t**3 + t**2 - t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372357?\nAnswer: 3, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of -b**6\/30 + b**5\/15 + 2*b**2. Find the third derivative of r(g) wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - 254*1\/28.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -30213201?\nAnswer: 30213133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -381924\/7*d**4 + 765084\/7*d**3 + 1238\/7*d - 384397\/7*d**2 - 1\/7 = 0.\nAnswer: 1\/618, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -3720, -5 in descending order.\nAnswer: -5, -18, -3720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus -232?\nAnswer: 232.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 823055 and 1244055?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in 5, 2\/9, 4\/7, 61, 34.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 10010011011000011001001 (base 2) to base 15\nAnswer: 655de0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7  (b) 2  (c) -0.2  (d) 2\/21  (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -3. Let s be 0 - (x + (-1)\/1). Calculate the common denominator of 77*(s + 1)\/(-6) and 143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssqssssmsq. What is prob of picking 2 s and 1 m?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 2*i + 4*u + 13, 4 = -4*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95063496 divided by 6.\nAnswer: 15843916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -308*f + 454. Let s(a) = 155*a - 228. Let r(n) = 9*s(n) + 4*t(n). Differentiate r(h) with respect to h.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39 - ((-5)\/5 + -2). Let v = 28 + a. Suppose -v = w - 2189. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from jbjbbbb.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -210 * 0.2\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 8*g**2. Let l(o) = -10*o + 16. Let j(z) = 3*z - 6. Let c(a) = a**3 - 4*a**2 + 6*a - 6. Let q be c(3). Let v(t) = q*l(t) + 8*j(t). What is b(v(p))?\nAnswer: 288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000038060921 to seven dps.\nAnswer: -0.0000381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93 = 7*q + 44 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/22 - -3\/22. Let a = -1.3 - -1. Let d = -0.2 + a. What is the biggest value in d, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 1052*j**3 + 4*j**2 - 3*j + 37. Let b(o) = 1052*o**3 + 6*o**2 - 4*o + 40. Let m(y) = 3*b(y) - 4*u(y). Find the third derivative of m(r) wrt r.\nAnswer: -6312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*i - 13*i**3 - 3*i**2 - 10*i**3 - 32 - 13*i + 33 as g*i**2 + d*i + k + n*i**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 46\/(-24) + (-1)\/(-4). Let s = 1.1 + -1.06. Let u = 0.76 + s. Put c, u, 1 in increasing order.\nAnswer: c, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k + 46. What is the remainder when 20 is divided by o(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 225\/(828\/15640*-34)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 13 = 5*g - 3*u, 0 = 2*g + 5*u + 11. Suppose -3 = -3*m + g*m. Suppose 5*j - k = m*k - 20, 0 = -2*j - 4*k + 20. Solve 0*n - n = j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -1.6077?\nAnswer: -8.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1012?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 20550 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14918, -21228, -27548, -33884, -40242?\n\"Answer: -b**3 + b**2 - 6306*b - 8612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*g + 9. Let v(h) = -h**3 - 4*h**2 + 4*h - 1. Let z be v(-5). Let c = -8 + z. Put c, g, 1 in descending order.\nAnswer: g, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -27*v**3 + 18*v**2 + 3*v - 7728. Let x(m) = -55*m**3 + 33*m**2 + 5*m - 15456. Let g(f) = 3*x(f) - 5*z(f). Differentiate g(i) with respect to i.\nAnswer: -90*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 4*m**3 + 1 + m**2 + 0*m**2 - 2. Let o be l(2). Suppose 5*g + 5 = o. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 7*u**2 + 4. Let t be 1\/(-2)*(21 - 7). Let c be p(t). Suppose c*o = 5*j - 20, 3*o - 4*j + 2*j + 8 = 0. Round o to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39 + 38. Let c be -1*((-4)\/8)\/(k\/(-4)). Suppose 3*m = 7 + c. Solve -y + 20 = m*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 121742137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/7, -0.1, 0.37, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8281*f**2*t**2 - 3*f**2 + 17*f*t**2 - 165777*f with respect to t.\nAnswer: 16562*f**2*t + 34*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -497 and -115766.\nAnswer: 57535702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -26\/1961 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, c: 3}. Give prob of sequence yc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -7*l. Give u(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, u: 7, l: 1}. What is prob of picking 3 u?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -45\/8987 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*q + 10. Suppose 3 - 9 = 3*z, q = r - z. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-14)\/(-7)*((-17)\/(-2) - -2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/(4 + -1))\/(-2). Let f = -0.46 + -0.04. Sort 23, f, -2\/17, j in descending order.\nAnswer: 23, j, -2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -0*m - 15. Suppose 5*w + m*i = 80, 7*w = 3*w + 3*i + 99. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 12  (b) 0.5  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 249\/8, -0.5, -0.4, 5 in increasing order.\nAnswer: -0.5, -0.4, 1, 5, 249\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2)*d\/d**8)**(-27)*(d**(-2\/7))**29*(((((d\/d**4)\/d)\/d)\/d)\/d)\/d*d**(1\/3)\/d assuming d is positive.\nAnswer: d**(4180\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 5 + 23. Let n(l) = 13*l + 13. Let r(j) = 2*j - 2. Let w be r(2). Let o(f) = 3 + 3*f + 4 - 4. What is p*o(t) + w*n(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 262520773, 262520772, 262520771, 262520770, 262520769?\n\"Answer: -n + 262520774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7116 by 6.\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooapu. Give prob of sequence auop.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, h: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*r**4 - 20*r + 3431 - r**2 + 1877 - 3*r wrt r.\nAnswer: 8*r**3 - 2*r - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + 17. What is the highest common factor of l and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/1068 and 83\/603598.\nAnswer: 3621588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1397*k + 1268*k + 5545 = -4388 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 2, 4, 1 in decreasing order.\nAnswer: 4, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3529*t + 4014*t - 23280 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21811?\nAnswer: 17, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 17*p**4 + 6*p**2. Let x = -39 - -52. Suppose -11 - x = -4*g. Let o(r) = r**2 + 1. Let i(m) = g*o(m) - y(m). Find the first derivative of i(w) wrt w.\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -1. Let j(a) = a + 13. Determine -j(t) - 2*u(t).\nAnswer: -t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24\/5*b + 3\/5*b**2 + 48\/5.\nAnswer: 3*(b - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1 + (-3 - 5))\/(-1 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1861*w = -1868*w + 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 PM and 12:42 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22171.\nAnswer: 22171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (147\/70*1)\/((-1)\/(-68)). Let p = -143 + n. Which is the nearest to -2?  (a) p  (b) -4  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1370629?\nAnswer: 13, 59, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 2*w - 7, r - 2*w + 1 + 10 = 0. Let j = r + 150. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 25, -88, -329, -728, -1315, -2120?\n\"Answer: -5*v**3 - 34*v**2 + 24*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-6))**37 assuming h is positive.\nAnswer: h**259","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 3*y - 179 = 0, -18906*i = -18907*i + 12*y - 631 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 bigger than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 9*q**2 + 2. Let n be f(-9). Let y = -11 + 5. Let h be (-16)\/(-3) - (-2)\/y. What is the highest common divisor of n and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -69.58 - -69. Let o = -0.5743 - q. Round o to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 1, -24, -4, -2, 5 in decreasing order.\nAnswer: 8, 5, 1, -2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-663)\/65 - -8)*(-42 - -47) - (-1597)\/145?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c0ec (base 15) to base 11.\nAnswer: -28660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y - 5*c - 65, -5*c - 5*c + 26 = -12*c - 0*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 9 = -6, -3*f + 3*v + 21 = 0. Suppose -11 = -f*b + 5. Suppose 0 = 2*u - 0*u - b. Solve 0 = u*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 507889*n**4 + 53*n - 630.\nAnswer: 6094668*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 0, -3*f = 2*f + 2*z - 35. Let x(y) = -2*y**2 - 3*y - 10. Let s(d) = -d**2 - 2*d - 7. Give f*s(i) - 5*x(i).\nAnswer: 3*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13400901*x**3 - 136*x**2 - 676*x + 6.\nAnswer: 80405406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1, 1, 0 in increasing order.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 10*z - 6. Let n(c) be the first derivative of -c**2 + c - 1. Let s = 30 + -32. Give s*y(j) - 11*n(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 4. Let t be n(-8). Does 13 divide ((-156)\/9)\/(8\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 8  (b) -0.075  (c) 1\/18  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.14 + 93672309579\nAnswer: 93672309578.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, 31\/9, -9, -3, 28\/11.\nAnswer: -9, -3, 0, 28\/11, 31\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -8*i - 9. Let x(w) = -7*w - 8. Let u(q) = -6*k(q) + 7*x(q). Let o(f) = f**3 - 3*f**2 + f - 2. Let r be o(2). What are the prime factors of u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of q**6\/45 - 2*q**5\/15 - 11*q**4\/18 + 22*q**3\/3 - 24*q**2 - 29*q + 10. Find u, given that p(u) = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/3*(-66)\/4. Let c(j) = -8*j**3 + 5*j - 6. Let u be c(-3). Let a = u + 3. What is the greatest common factor of a and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40179.\nAnswer: 3, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 - 1.1. Let o = b + 0.5. Sort -0.4, -2, o in increasing order.\nAnswer: -2, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*i + 2*i**2 - 3*i + 3 + 2 in the form a*i + z + u*i**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*c - 31 = 42, -u = -4*c + 13. Let s = 31 + u. Suppose s*w - 8*w - 6 = 0. Let f(b) = -b**3 + 2*b**2 + 1. Calculate f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5\/1101 - 3368\/14313. Which is bigger: m or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 13*a + 10. What are the prime factors of m(-13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 8\/(-130))\/((-190)\/(-475))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 302*l**2 - 1329*l**2 - 966*l**2.\nAnswer: -1993*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - t - 532 = u, 8 = 2*t. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.736 - -1.936. What is the closest to -0.21 in o, 0.15, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 43*j**2 - 7*j - 5 + 38*j**2 - 82*j**2. Give q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2046 = 30*z + 156. Let v be (-18)\/z - 6\/(-21). Factor 0*h - 2\/3 + v*h**3 - 2\/3*h**4 + 4\/3*h**2.\nAnswer: -2*(h - 1)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-2 - 33))\/(3776\/826).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.38 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (5 - 4 - -1) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2 + 19755412*h + 19755410.\nAnswer: 2*(h + 1)*(h + 9877705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1118 - 601. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + 1. Calculate the remainder when (1 - -2)*11\/3 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 550\/3237 + -4\/249. Which is the fourth smallest value?  (a) i  (b) 33  (c) -0.1  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (752167 - -29)*(-2)\/(-6)*(-6)\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 3*v**2 + 3*v - 3. Let d be z(3). Let h(j) = -3*j + 9. Let t be h(-15). Calculate the highest common divisor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 6*p - 21 = 0. Suppose -6*c - 10 = -c. What is the remainder when (-1)\/(c\/20) - 2 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4740 and 1935?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 73657\/43 + -1713. Let m = 3 + -2.9. Which is the biggest value?  (a) 1  (b) j  (c) m  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.35?  (a) 0  (b) -4.9  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-18)\/48) - (-14)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 266.1 + -253. Round c to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -6*j + 2. Let t(m) = m - 6. Let n(g) = -3. Let s(f) = -f - 8. Let x(v) = 7*n(v) - 2*s(v). Let b(r) = -3*t(r) + 4*x(r). Calculate 7*b(a) + 6*p(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007588 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9\/(-33) - (133380\/(-99) - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 49765.7 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1296 + 21355 + 14*u - 4099 - 11*u.\nAnswer: 3*u + 18552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -35  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6013262887 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 - 3*a + 10. Calculate the remainder when s(6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25.8 + 3.2. Let k = p - 28.8. Let a = 3 + -2. What is the nearest to 1 in a, k, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(512) + sqrt(2) + sqrt(72) + 5)**2*2.\nAnswer: 460*sqrt(2) + 2166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 45296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 18*d - 196. Let w be c(10). Let j = w - -47\/3. What is the nearest to 3\/2 in j, -1, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 151691 (base 10) to base 16.\nAnswer: 2508b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 1 - 13 = 0. Suppose 10*x - d*x = -136. What is the common denominator of x and (-4)\/1*(-132)\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*l + 2. Let h(b) = -b**2 + 4*b - 1. Let y be h(l). What is the closest to y in 1\/10, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14381 * -2.\nAnswer: 28762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 12, m: 7}. Give prob of sequence mm.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -65 - (106 - (303 + -201)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 47840869 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s - s + 46*s)*(3 - 3 - s + (-2 + 5 - 2)*(4 - 4 - 3*s)).\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -69099*f**3*n**3 + 1138*f**3*n**2 + f*n**2 wrt n?\nAnswer: -414594*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2989271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1185\/5*1*(-2)\/6. Let c = r + 340. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -107416254 divided by -1451571.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5137, -20525, -46179, -82105, -128309, -184797, -251575, -328649?\n\"Answer: -v**3 - 5127*v**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1902 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q**0*q)**(2\/35)*(q\/q**0*q*q)**(-4\/7))**(-26) assuming q is positive.\nAnswer: q**(1404\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, l: 8, a: 1}. What is prob of picking 1 a and 2 h?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from ataytyuhunaaa.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j. Let d be x(-2). Let p = 3 + d. Suppose -p*r + 808 = -487. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4 - 5*w + 8*w**2 - w**2 - w**3 - 12. Let x be d(6). Let v be ((96\/x)\/(-3))\/1. Calculate the greatest common factor of 176 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2158*c**3*f**3 + 10*c**3*f**2 - 1105*c**3*f + 2*c**2*f**3 - 11*c**2 - 11310*c*f**2 - 9*f**2 wrt c.\nAnswer: -12948*f**3 + 60*f**2 - 6630*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 141\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65\/138 - -2\/69. Let t = 4.15 + -0.15. Which is the nearest to -0.1?  (a) 0.4  (b) t  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**2 - b**2 - 3*b**5 + 3*b**2 + (0 + 0 - 2*b**2)*(b**3 + b - b) + 5*b**3 - 5*b**3 + b**5 - b**3 + 8*b**5 + b**3.\nAnswer: 4*b**5 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 340388 is divided by 14798?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z + 274. Let d(p) = -9*p**2. Calculate d(s(y)).\nAnswer: -9*y**2 - 4932*y - 675684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6783.\nAnswer: 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1677)\/(-1118)*(-2 - (-10)\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 18, e: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, 43, 122, 231, 370, 539, 738?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -5*i**2 - 131930*i - 870276245 = 0.\nAnswer: -13193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 0*d**2 + 3*d**2 + 2*d - 2*d. What is the units digit of j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7*(-92)\/805*(-5)\/(-6). Put -3, -14\/3, a, 0.5, 1\/3 in decreasing order.\nAnswer: a, 0.5, 1\/3, -3, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 10*f. Let z(j) be the second derivative of j**3\/3 - 6*j. What is q(z(n))?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-7))\/(4\/49)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 15*j**2 - 52*j + 7. Calculate the remainder when 167 is divided by a(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71, 171, 329, 551, 843, 1211, 1661?\nAnswer: 2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**4\/4 + 105*u**3\/2.\nAnswer: -5*u**3*(u - 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 0, -15, -44, -93, -168?\n\"Answer: -d**3 - d**2 - 5*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -600, -1396, -2192, -2988, -3784, -4580?\n\"Answer: -796*k + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6174999 and 0.05?\nAnswer: -308749.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 8*v + 1. Let k be p(-1). Let u be (4 - 5)*k*1. Solve -3*m = t + u, -16 = 3*m + m - 2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35842.2411 rounded to the nearest 100?\nAnswer: -35800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75030318?\nAnswer: 2, 3, 11, 378941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(0 + (-2)\/6). Let j be (-3 - -3)*h\/2. Solve -2*u + 3 - 1 = j, -u = -5*v - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y - 62, -22*a - 181 = 5*y - 292 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 0  (c) 14  (d) -5  (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -15*n**2 - 80*n + 304. Determine l(4).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-5)\/(190\/(-19)))\/((-1)\/8). Let w(m) = 3*m - 2. Let s(h) = 5*h - 4. Calculate c*s(j) + 7*w(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/3, -0.5, -2\/7, -4, -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*z - 32*z = -9702439. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**2. Let v be 1 - (-1 + 3 + -1). Let r(p) = 2*p + 0 + 3*p + v. Determine r(x(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*x + 800 = 27*x + 17 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 20110?\nAnswer: -20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = 5*r + 20, -12 = -39*r + 42*r - 3*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.81 + -1.51. Let u = 2.97 + -3. Let o = 0.27 - u. Which is the third biggest value?  (a) r  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/16*(-8)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/((-8)\/(-21)))\/((-32711)\/317764)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 2532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -9876 divided by 4\nAnswer: -2469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295215 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, e: 3, x: 9, a: 3, l: 2}. What is prob of picking 2 a and 1 b?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6.769222l?\nAnswer: 6769.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24.1 + -22.1. Which is the nearest to 1?  (a) v  (b) 1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 6:42 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = 7*m - 2*t - 8, 0 = 4*m + 3*t - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.0383 - 5.0383. What is the second biggest value in -1\/12, 0.3, f?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304)*3*-5 + sqrt(304))**2 + -2*sqrt(304) + 3.\nAnswer: -8*sqrt(19) + 59587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and -798350.3.\nAnswer: -798349.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + 1. Suppose 3*t + 7*t - 410 = 0. Suppose -t*c - 34 = -43*c. Calculate the remainder when c is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 3*m - 1291 - 1348 = 0, 0 = 3*s + m - 7877. Calculate the greatest common factor of s and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -0.3, 2\/9, -26, -2\/9, 1, 39463?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l**2 + 5 - 2 + 2*l**2)*(1793 - 1793 - 403*l)*(6 - 4 - 3).\nAnswer: -1209*l**3 + 1209*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 30  (c) -0.4  (d) -1  (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -8*p + 5. Let y(l) = -l**3 + l**2 + 6*l + 14. What is the smallest common multiple of y(p) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 35, 0, -5, -4531 in decreasing order.\nAnswer: 35, 0, -4, -5, -4531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 6*y + 5. Let f be w(-7). Let m = f + 2. Suppose m*c - 8 = -c. What is the remainder when 15 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*h + 6*h - 2681534 = -54*h - 2687254 for h.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(3\/19)*s\/s**(1\/16)*s)**(-2\/7))**(-3\/26) assuming s is positive.\nAnswer: s**(21\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*y - 5*r - 30 = 0, -5*r + 3 = 6*y - 10*y - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 10:23 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.58 + 0.12. Sort 1\/3, h, -1 in increasing order.\nAnswer: -1, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7074877 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -80781 by 7932.\nAnswer: -26927\/2644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l - 226 + 2*l + 226.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 17 = -k, 18*v = 21*v + 3*k - 15. Solve -4*g + v = -5*p, -5*g = -6*p + 9*p - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 6. Is (-403)\/(-6) - n\/24 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 121301766?\nAnswer: 2, 3, 17, 132137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-44)\/33 - 10500\/(-126)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-2 - (-9 - -14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - k - 1 = -0*k, -2*w - 2 = -4*k. Solve -4*p - 3*l = -8, -6 = -w*p - 4*l - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/7  (b) -0.5  (c) 1  (d) 20  (e) 0  (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c**2. Let v(b) be the second derivative of 263*b**3\/6 - 220*b. Give z(v(m)).\nAnswer: 207507*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -124, -271, -424, -583, -748, -919?\n\"Answer: -3*h**2 - 138*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -10*u**2 + 2*u. Suppose 47*y = 38*y + 45. Let b(h) = -11*h**2 + 2*h. What is y*b(g) - 6*n(g)?\nAnswer: 5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of 7*f**5\/20 + 6*f**2 + 10*f. Let o(k) be the first derivative of d(k). Let n(t) = t**2 - 1226 + 1226. Give o(n(s)).\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-31 - (-57 + 28))*1890178\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in 17, 3, -0.266, 3\/8, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 11*t**2 + t - 9. Suppose 0*g - 9 = -n + g, 3*n + 5*g - 43 = 0. Let u be b(n). Let r(l) = -2*l**2 + 4*l - 3. What is r(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2852948569*r**2\/4 + 30124932*r - 318096.\nAnswer: -(53413*r - 1128)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30124413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from irrrrrfiiriirrifri?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 7*f + 10*f**2 + 4 + 4*f + f**3 + 0. Let s be m(-8). Suppose w + s = 2*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 - 4*i**2 + 0*i**2)*(1 - 1 + i) + (-2*i**2 + i**2 + 0*i**2)*(-6*i + 8*i - 4*i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 118*t**2 + 356*t + 842. Let m be y(121). Let q(w) = -w**2 - 4*w + 8. Let s be q(-6). Put m, 4, s, 1 in ascending order.\nAnswer: m, s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 + 32. Let z = a - -22.91. Let j = -0.91 + z. What is the nearest to -1 in -5, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/13)\/((-5)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 3*i + i = -106, 5*i - 148 = -3*f. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*t + 125*t = 61*t - 4050. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w**2 + w + 1. Let b(v) = 9*v**2 - 7*v - 63. Let z(q) = b(q) + 4*j(q). Let s be z(9). Put 8, s, 3, -3 in ascending order.\nAnswer: s, -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 7*i + 10 = 0. Let q(f) = -f**3 - 6 - 4*f + 2*f**i + 11*f + 2*f**2. Suppose -6*d + 4*b = -d - 37, b = 3*d - 18. What is q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 7:06 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103449987 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.2 and -127305.\nAnswer: -127305.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**1\/r*r))**(1\/6)\/(r**(-3\/11)*r**(-3)) assuming r is positive.\nAnswer: r**(205\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 10:56 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 331 - 335. Let i be 2\/(-15 - 5)*5\/v. Factor 1\/8*h**5 - i*h**3 + 1\/8*h**4 + 0 + 0*h - 1\/8*h**2.\nAnswer: h**2*(h - 1)*(h + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 161.6 + -170. Let v = 3.4 + m. Which is the nearest to -0.1?  (a) v  (b) -15  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 AM and 7:40 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -356109 (base 13) to base 11.\nAnswer: -798226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 55 and 19.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -0.254, -0.027 in descending order.\nAnswer: -0.027, -0.2, -0.254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1556, 1561, 1566, 1571?\nAnswer: 1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25 - (-2 - 7)) + 413 + -483.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 - (3 - (2 + 8)) - -2 - -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 145 and 87?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/20)\/(-5*2\/(-125))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002898813936 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i - 6 + 10 - 5 - 3 in the form y + h*i and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -8.3. Let s(h) = -h + 7. Let y be s(6). Let m be 3\/(-8)*6\/(-9). Which is the nearest to y?  (a) -5  (b) m  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at least 190976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a - 5. Let g be s(6). Let i = 28 + -24. Suppose -2*h = 5*k - 311, 3*k + 0*h - 197 = i*h. Calculate the highest common factor of k and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/3)\/((6\/2)\/(-6)). Suppose 3*w + s*w - 425 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18725*z - 18734*z + 18 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, x: 8, c: 7, l: 1, a: 1, p: 2}. Give prob of sequence ccx.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - 8*h**2 + h + 10. What is l(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**3\/7 + 75*i**2\/7 - 354*i\/7 - 432\/7 = 0 for i.\nAnswer: -1, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/4))**(-2\/37)*(h\/(h**1*h))**(-17))**(-11\/2) assuming h is positive.\nAnswer: h**(-13827\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.031843 to four dps.\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mib when three letters picked without replacement from {b: 1, s: 1, v: 1, f: 2, m: 5, i: 3}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - b = 0. Suppose 0 = -5*x + 3*r - 754018 - 55997, -4*r + 20 = b. Round x to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ezt when three letters picked without replacement from {z: 1, t: 2, e: 1, h: 2, r: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of 7\/18*k**3 + 0 + 1\/3*k**2 - 3*k - 1\/9*k**4. Let i(g) = 0. What is g?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 0*h + 10. Let q be (-1)\/6 + 3\/(72\/(-20)). Sort q, 0, h.\nAnswer: h, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4119 + -4116. Which is the biggest value?  (a) -0.06  (b) -0.2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of g**4\/12 + 11*g**3\/6 - 12*g**2 - 10*g - 3. Calculate the smallest common multiple of 126 and l(-14).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -83910 divided by -4?\nAnswer: 41955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 623868 and 4200.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from huzufuhhorffuoh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1910?  (a) 2\/9  (b) -11  (c) 2\/11  (d) 11  (e) -15  (f) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -14799.2046 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 330*z - 1230. Let a be c(4). Solve -49*s + 67*s - a = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 7571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwk when three letters picked without replacement from vwwvwvvkovw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/61569 and -36\/6841.\nAnswer: 61569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**5 + 5*o**5 - 5*o**5 + (1 - 3 + 1)*(6*o**5 - 20*o**4 + 20*o**4) - 74 - o**5 + 74.\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o**3 + 5*o - 5*o + (1 - 1 + 1)*(-3*o**3 + 2*o**3 - o**3) + o**3 + 3*o**3 - 5*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 12 = -r, 0 = -4*r + 2*r - 4. Let y = -8 - -6. Let j = y - h. Solve -c = -3*m + 3*c, 0 = -j*m + 3*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 0. Let r = i + -6. Let b = -7.3 - r. Which is smaller: -2\/3 or b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-16))\/(((-12)\/(-60))\/((-12)\/(-10))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4034531 (base 6) in base 5?\nAnswer: -22112300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.02  (b) 3.3  (c) -2\/2405  (d) -5  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*y**2)*(-3*y + 4*y - 2*y) + (-36*y + 36*y - 44*y**2)*(36*y + 6*y - 6*y).\nAnswer: -1582*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*j = -21*j + 32. Suppose j = 4*r - 32. Calculate the greatest common factor of r and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 - n**2. Let y(s) = -133*s**4 + 4*s**3 + 22*s**2. Let w(x) = -4*k(x) + y(x). Find the third derivative of w(p) wrt p.\nAnswer: -3192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/(59\/(-110) + 1\/2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 + 2. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/3  (b) 7\/23  (c) -0.2  (d) -743  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6845 + 6860. Suppose x - 10 = 5. Calculate the greatest common divisor of o and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 42195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.4 - -111.4. Let o = -105.43 + m. Let k = o + -0.07. Put k, -1, 1\/6 in decreasing order.\nAnswer: k, 1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -66*8\/(-72)*57. Calculate the highest common factor of 38 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -511*t**3 - 263*t + 263*t.\nAnswer: -511*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -5*a - 177. What is h(-6)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1006 less than or equal to 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of 0*c**4 + 0*c**5 + 0 + 1\/30*c**6 + 0*c + 8*c**2 - 2\/3*c**3. Differentiate y(z) with respect to z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.481 and -28.6.\nAnswer: -29.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 3474?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {r: 3, w: 3, l: 2, k: 3, c: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50394\/469 - -2870\/67. Let x = k - 150. Let g = -1.9 + -2.1. Which is the third biggest value?  (a) -1  (b) 5  (c) x  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-127)\/(2667\/(-567)) - 897\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((12\/(-15))\/(-2))\/(1*6\/270)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5 = 3, 19 = 5*u + 2*g. Suppose -u*n - 6 = -2*k, k + n = 2*k - 2. List the prime factors of (1 + -4)\/(-1 - k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 0*u + u - 10, 0 = 2*k + 3*u. Let b = -1 + k. Suppose 9*l + 4*j = 4*l + 23, 2*l - b = 2*j. Solve d + 1 = l, -4*h = 3*d + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n - 5 + 4 - 5 + (4*n - 5*n + 2*n)*(-103 - 87 - 142).\nAnswer: -334*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4*57\/114)\/(35\/(-8))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -32*z - 93. Let u be p(-3). Solve -4*t - 14 = -2*k, u*k + 15 = -2*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101a641 (base 12) to base 15.\nAnswer: 3eb40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3104 divided by 15\nAnswer: 3104\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6320 - 13404 + 6465 + (-3 + 5 - 3)*(1 + 2 - 2))*(0*d**3 + d**5 + 0*d**3).\nAnswer: -620*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (8\/(-30) + 204\/(-153))*-10*60 and 560?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 9489, 19404, 29319, 39234?\n\"Answer: 9915*z - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 26*b**3 + b**2 + 4*b - 3. Suppose 3*i - 146 = 2*f, -3*f = -5*i - 7*f + 280. Calculate the remainder when i is divided by z(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26554994?\nAnswer: 2, 43, 71, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 582902.5 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/2 + 2464\/(-32) + 77. Let s = -0.32 + 0.3. Let z = 1.98 - s. Put v, z, 0.4 in descending order.\nAnswer: z, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**5 - 104*u**4 - 193*u**2 - 3*u + 3. Let k(h) = h**4 - h**2 - h + 1. Let v(o) = 3*k(o) - p(o). Find the third derivative of v(l) wrt l.\nAnswer: 180*l**2 + 2568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 469*y**2 - 4*y**4 - y**3 - 3*y - 4*y**3 - 18 - 470*y**2 + 6*y**3 in the form v + q*y**4 + g*y**3 + n*y + c*y**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -13. Let u(c) = -c**3 + 4*c**2 - 3*c + 2. Let y be u(3). Let o be (-2)\/4 + 1\/2. Solve -y*k - t = -o*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -1. Let q(i) = -7*i**2 - 8*i + 6. Let y = -7 + 1. Let j(v) = y*w(v) - q(v). Find the second derivative of j(r) wrt r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181*h + 694 = -653*h + 25238 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 29761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -83166 (base 13) in base 3?\nAnswer: -102221211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + 1. Let z = s + 1. Suppose -z*t + t = -50. Solve -2*a + t = 3*j + 1, 3*a - 5*j = -34 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2088304.332 rounded to the nearest 10?\nAnswer: 2088300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 87137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 10*h**6\/3 - 3*h**4\/4 - 74*h**3\/3 + 72. Find the third derivative of l(x) wrt x.\nAnswer: 1200*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 103498424 and 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 270 and 864.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 135 - 210. Let u = y + 121. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*r - 240 - 750. Suppose -43*b = -r - 7. Determine y, given that 0*y + 0*y**3 + 0 - 3\/7*y**2 + 3\/7*y**b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24.23 - -2.77. What is the third biggest value in b, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 10 = -7*o. Let b(k) = -5*k**3 + 2*k**3 + 3*k + 4*k**3 + 5*k**2 - 4. Let r be b(-3). Solve -o*i - 24 = -5*z, -5*i + i - 28 = -r*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 6*c**2 + 30*c + 119. What is t(10)?\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 2*m + 4 = 0, -2*z - 2*m + m = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5090780 to the power of 1\/2, to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 2:53 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-9)\/6)\/(6\/(-16)). Suppose -t*b - 1990 = 1534. Let g = -3565\/4 - b. Calculate the common denominator of g and 97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1104*i - 1087*i - 1102*i - 1107*i + 4398*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 28 = -4*i, 4*i - 10 = 2*n + 8*i. Which is smaller: n or 34\/15?\nAnswer: 34\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 3 - 7 - (82 - 79)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-74)\/3*-6*(-4)\/8. Let j be y\/26 - (-6)\/(-39) - -284003. Suppose 3*b = 5*b - j. What is b rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 144942\/374 - 12\/22. Suppose t = 12*l - 2553. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 161 + -2b6?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.704 + -0.137. Let a = 0.267 - w. Put 1\/3, 2, a, 5 in descending order.\nAnswer: 5, 2, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 204.0004 - 204.6. Let a = q + 0.6. What is a rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-659 + 1367 + 1536)*(-n**2 + n**2 + n**2).\nAnswer: 2244*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -30.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mmmwmmmmmww.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c + 0 + 45 = 0. Let s(o) = -o - 11. Let m be s(-6). Let u be (-2)\/1*(4 + m). What is the fourth biggest value in -3, c, -0.2, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8006, -31980, -71942, -127886, -199806, -287696, -391550?\nAnswer: -511362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10823?\nAnswer: 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142*f**2 - 18812103*f + 18812103*f.\nAnswer: -142*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 2:48 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 times -3?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12205*i - 29440 = 12195*i. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 821224?\nAnswer: -3\/410612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 281 + -253. What is the highest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 4:48 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.602 and 10.775094?\nAnswer: 11.377094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 94\/309 or 1?\nAnswer: 94\/309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, 4, 0.03, -0.05, 2, -5\/77.\nAnswer: -3\/4, -5\/77, -0.05, 0.03, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -52. What is the highest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from igggiiiige. What is prob of sequence gi?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 58 or -11?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/15001272 and -79\/6855420.\nAnswer: 1275108120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -146 + 146 + 18*m**3 + m**3 - 2 + 2 + 1 - m**3 - 1 + 2*m**3 + m**3 - m**3 + (2*m**2 + 0 + 0)*(0*m - 3*m + m) - 13 + 2*m**3 + 15 + 3*m**3.\nAnswer: 21*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27573*y**4 - 47573*y**2 wrt y?\nAnswer: 661752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -814618 by -26278.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*h = 5*p - 25, -5*h + 5*p = 25. Suppose 21 = g - h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 144 and 1068.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4167 - 4163. Which is the third biggest value?  (a) -1\/4  (b) -5  (c) 396  (d) -1\/2  (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((8\/(-6))\/1)\/((-336)\/252). Sort -3, -5, -2, x in increasing order.\nAnswer: -5, -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of -11\/6*i**3 + 0 + 1\/2*i**2 + 15*i + 1\/12*i**4. Let b be y(11). Solve 0 = -4*w - 2*x + 14, -x - b = 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - r - 208. Let y = 469 + -456. Let c(p) = 8*p**2 - 105*p + 15. Calculate the lowest common multiple of c(y) and r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -24 - y + y**2 + 12*y - 27*y. Let w be d(19). Let r = -36 + w. Which is the nearest to -1?  (a) r  (b) 0.3  (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 16044 - 1872. Let j be m\/960 + (-2)\/6. Let v = j + -13\/20. Find the common denominator of v and -93\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1353200  (b) -2\/17  (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8 or -8276\/881?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 17*k - 2498. Let x(h) = 60*h - 7494. Calculate 7*n(v) - 2*x(v).\nAnswer: -v - 2498","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 12 + 4. Which is the nearest to 5?  (a) z  (b) -5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 496284781 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 881228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) -139  (b) 0.2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1152) + 0)*-1*-2 - (-1 + 1 + sqrt(1152))*6) + 0)**2.\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -173673*f. Let o(l) = 743*l**2. Give p(o(r)).\nAnswer: -129039039*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**2\/7 + 792*b\/7 + 580 = 0 for b.\nAnswer: -5, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l + 10. Let b be q(-10). Suppose -2*c - 2*c + 8 = b. Suppose 0*k - 16 = -k - 3*x, c*k + 2*x = 48. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 7*z - 170. Suppose 3*q + 47 = -5*x + 163, -q - 4*x + z = 0. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12221.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 110302355 to the nearest integer?\nAnswer: 10502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1535*c + 15513 - 6136 = -18253 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*j = 233 + 39. Solve j*v + 2 = 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 43*j + 5. Let m(w) = 57*w. Calculate b(m(c)).\nAnswer: 2451*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 18 - 6 = 0. Suppose -15 = 4*f + l, -5*f - 17 = -b*l + 7. What is the hundreds digit of (173\/(-3))\/(f\/(10 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1637, 991, 347, -295, -935?\n\"Answer: m**2 - 649*m + 2285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + o**2 + 2*o + 8. Let z be g(0). Suppose 6*i = -z + 68. What is the units digit of i\/4*(-744)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g + 5681 - 5681.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174 - 536 + 2737 = 112*g - 8041 for g.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - 2. Let s = v + 20.5. Which is the second biggest value?  (a) s  (b) -3\/4  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18)\/(-27)*(0 - 198). Let x be d\/18*(-3)\/2. Find the third derivative of 10*z**2 + 6*z**6 - 3*z**2 - x*z**6 wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-216)\/(-351))\/(((-4)\/(-13))\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 488*t - 149*t - 3390 = 0. Suppose 3*d = -4*j + 14, -4*d + j + 3*j + 28 = 0. Solve -p + t = 3*m + p, 5*m = 2*p + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1002003227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44)\/(-2860)*-3*15\/27?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -4  (b) -0.1  (c) 3\/23  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 361\/14 - (-32)\/(-112) and 35\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9)\/((-108)\/8) + (-343)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y + 2. Let o be u(0). Suppose -o*a - 3*w = -33, -5*w - 59 = 2*a - 5*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2664022910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {n: 1, e: 5, h: 7}.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(5\/3)*m\/(m**(1\/4)\/m))**(-33) assuming m is positive.\nAnswer: m**(-451\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -51 + 51. Suppose x*g + 20 = -g. Let v = g - -30. Solve 0*s - v = i - 4*s, -5*s = -3*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 26592302506 and 5.86.\nAnswer: 26592302511.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 3*p - 1. What is v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40237?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k - 30 + 16. Let b be (0\/2 - k)\/((-34)\/85). Let x(m) be the third derivative of m**6\/120 + m**5\/15 - m**4\/6 + 2*m**3\/3 + m**2. Determine x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(3\/10))\/a)\/(a*a**(1\/7)*a))\/(a**(-5\/8)\/(a**30*a)) assuming a is positive.\nAnswer: a**(8339\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 240669, 4, 0, -5 in decreasing order.\nAnswer: 240669, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-48) - (-527)\/136. Let t(i) be the third derivative of 7\/90*i**5 + 2*i**2 - 1\/24*i**h - 1\/9*i**3 + 0 + 0*i. Let t(d) = 0. What is d?\nAnswer: -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - l - 26 = -3*w, -5*w + 5*l - 180 = 0. Let d = 45 + w. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -3. Let t = 1 + y. Solve -17 = t*l - j, 16 - 2 = -4*l + 2*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.178 + 0.208. Which is the third biggest value?  (a) y  (b) 2\/9  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3621346 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f**3 + 0*f**3 + 5*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 118, -1323, -173 in decreasing order.\nAnswer: 118, -173, -1323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, 0.1715, 0.07, 0.9?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22\/4 - 1\/(-2). Let t be 16\/10 + u\/15. Let h be (-7)\/(-18) - 1\/6. Put h, 1\/7, t in descending order.\nAnswer: t, h, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of 0*y**5 - 2\/3*y**3 - 2 + 0*y + 0*y**2 + 0*y**4 - 1\/2*y**6. What is the third derivative of l(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.081604, -2\/13, 0, 4.\nAnswer: -2\/13, 0, 0.081604, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 10160 in decreasing order.\nAnswer: 10160, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 0)\/(57\/(-226214)*36\/81) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33150 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 y(n) = n + 10. Let r be y(0). Suppose -47 = 4*a - 3*c, 57 - 17 = -2*a - 4*c. Let i be (-286)\/a - (-12)\/(-28). What is the highest common factor of r and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**4 + 5496*a**3 - 1876852*a**2 - 7573488*a - 7595536.\nAnswer: -4*(a - 689)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-14) + 90\/21. Let n = -4 + 8. Let b = 3 - n. What is the closest to b in f, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -3*k**2 + 7*k - 7. Let x(p) = 4*p**2 - 13*p + 13. Calculate -11*q(u) - 6*x(u).\nAnswer: 9*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2 - 4. Let z = o - 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 7*t**2 - 2. Let l(m) = -67*m**2 - 11*m + 5. What is -l(f) - p(f)?\nAnswer: 60*f**2 + 11*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 866755 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 8 + 10. Let h be 2\/((-4)\/(-3) + x). What is the nearest to 1\/4 in 0.4, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14012 - 12937 = 29*a + 14*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2\/5 - -1\/10. What is the closest to p in -0.4, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l**3 + 110*l**2 - 111*l + 2. Calculate t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 141.2  (b) -3\/7  (c) 61  (d) -161\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, -2, 2583, 3 in descending order.\nAnswer: 2583, 38, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 38*y + 11313. Determine m(98).\nAnswer: -2015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -504 + 509. Let n be (3 + 0)*(-2)\/3. Let y be 16\/(-10) + (-4)\/n. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153581651 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -101 + 100. Is 1\/5 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**2 - 5*y**2 + 2*y**2)*(2*y + 2*y + 2*y) + y**2 - y**2 + 4*y**3 + (2*y - 2*y - y**2)*(-2*y - y + y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -11*d + 92. What is o(2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/((5\/2)\/(5\/(-15)*5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -k + 4. Suppose -1738 = -3*p - 2*i, 5*p - 1910 = k*i + 1008. Calculate the common denominator of 43\/6 and p\/(-72) - (0 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -51*f - 17254 + 13378 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 12*u**2 + 33*u + 12*u**2 - 6 + 23. Is x(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2228*i + 3466 + 2314 = -2296*i for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 o when four letters picked without replacement from nooonnnnnnnnnnnn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 3*m = 84 + 258, 3*m + 12 = 0. Let r = n + 65. Let v(h) = 17*h**2 - 1. What is v(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/15*-5*-1. Let t(c) = c**3 + c**2. Let g be t(k). Suppose 2*s + s - 111 = g. Does 37 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -22*q + 12*q**2 + 8*q**2 - q**2 + 22*q. Let f(u) = -2*u - 3. Let m(d) = d + 1. Let z(p) = f(p) + 3*m(p). Give z(v(y)).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 10564219, 10564221, 10564223?\n\"Answer: 2*l + 10564217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 4:12 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -6*a + 6. Suppose -5*l + 8 = -3*v, 3*l + 5*v + 2 = -0*v. Suppose 2*c + l = -3*i, -c + 5*i = -12 - 7. What is u(c)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwiiiggwiwgww. What is prob of sequence wg?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -11) + (-22 - -25).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 12:59 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 4692*l**2 + 7*l + 13761. Let f(o) = 4717*o**2 + 8*o + 13763. Let j(w) = 6*b(w) - 5*f(w). What is the first derivative of j(s) wrt s?\nAnswer: 9134*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 65 - 60. Let z(x) = x + x - 2 - 4. Calculate z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469291 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 787.7228 decades in months?\nAnswer: 94526.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b + 5*b - 10. Let u be 6*((-24)\/9 + b). Suppose -3*p + 2*p = 0. Put 3, u, p in ascending order.\nAnswer: u, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.065 in -1, -3\/4, 4, 0.0796, 7\/5?\nAnswer: 0.0796","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 1 + 3 = 0. Let b = h - -4. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24728?\nAnswer: 2, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 132683 (base 11) to base 10\nAnswer: 208453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7298\/25 + -292. Let j be 21\/12 - 3\/(-12). Let l(n) = n**3 - 2*n**2 + n - 3. Let s be l(j). Are b and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1621500 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 533910*y - 167799*y + 106501*y.\nAnswer: 472612*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*(-276)\/115*(-39)\/156?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*-1 - -1*8. Let m = 423 - 430. Let t = m + j. Which is the nearest to -2?  (a) -0.2  (b) -1\/3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40682, -162735, -366134, -650861, -1016898, -1464227?\nAnswer: -1992830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -12*l + 4. Suppose 4*b = 5*o + 52, 3*o = 2*b + 2*b - 36. Let j be a(o). Suppose -4*z - 12 + j = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*(t**(-2\/11)*t)\/t)\/((t**(-1\/2)\/t)\/t))\/(t**(1\/7)*t*t\/(t\/(t\/(t*t\/t**(-6))))) assuming t is positive.\nAnswer: t**(1413\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*h**5\/2 - 87*h**4\/8 - 381*h**3\/4 - 411*h**2\/2 - 705*h\/4 - 429\/8 = 0. Calculate h.\nAnswer: -11\/4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1693975412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 k, and 1 g when three letters picked without replacement from {v: 1, u: 3, g: 1, k: 5, t: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3783867863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 971, 917, 851, 773, 683, 581?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 4\/3 + 0. Let x(q) = 4*q + 9. Let l be x(-3). Let r be 2 - ((124\/14 - 4) + l). Which is the third biggest value?  (a) 1  (b) r  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2971619910 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or -83741\/2091?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1349754, 2698975, 4048184, 5397375, 6746542, 8095679, 9444780, 10793839?\nAnswer: 12142850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 386417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 94 and 24722.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53785, 107966, 162001, 215818, 269345, 322510, 375241, 427466?\nAnswer: 479113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15194 divided by 4616?\nAnswer: -7597\/2308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**3 + 23*c**2 - 35*c + 44. Give m(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 133779550 to the power of 1\/2, to the nearest integer?\nAnswer: 11566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 17+41\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -971 - -1092. Suppose -b = 4*u - 2, -2*b - u = 2*u - 29. What is the highest common factor of b and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9344.021 + -9344. Which is the nearest to -2\/3?  (a) k  (b) 8  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 11, 1\/5, 3, -1\/11529 in increasing order.\nAnswer: -3, -1\/11529, 1\/5, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9607875, 19215747, 28823619, 38431491?\nAnswer: 48039363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 9*w**2 - w - 7. Let r be t(-9). What is the third derivative of o**r - 3 - o**3 + 3 + o**2 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5536769 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 124*p**2 - 8*p - 1. What is the remainder when j(-1) is divided by (3 + 2)\/(-10)*-44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q**2\/4 - 691140*q + 2764555\/4 = 0.\nAnswer: 1, 552911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 66 - 9. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -498 times -0.2\nAnswer: 99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13689744 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 54*v**5 - 103*v**5 + 56*v**5 + (v**2 + v - v)*(3*v**3 - 3*v**3 - v**3) + 2*v - 2*v + v**5.\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6501 or -38.23?\nAnswer: -38.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11.34 - 9.34. Which is the nearest to 0.1?  (a) 5  (b) 136  (c) q  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 88636*t**2 - 2445844 wrt t?\nAnswer: 177272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 236140 (base 9) to base 10.\nAnswer: 142272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 544*p**3 + 80*p + 80. Let k(l) = -2*l**3 - l - 1. Give -160*k(f) - 2*n(f).\nAnswer: -768*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 - (-28 + (4 - (-15 - -1))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -2.5. Let z = 11.4 + -12. Let w = z + q. Which is the closest to w?  (a) -4\/3  (b) -4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 5*r**2 + r + 7. Let g be a(-5). Suppose -q + g*q + 2 = 0. Sort q, 0, -5 in increasing order.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4*-3)\/(3\/4). Let p = d + 38. Let a = 32 - p. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 6*v = 13, 2*b = -65*v + 70*v + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 242339 a multiple of 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -0.4, -1\/11, -22\/3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 3:25 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 26 = -4*p + 18, 5*p + z = 62. Suppose 5*w + 3*l = -71, l - p = -3*l. What is the units digit of ((-15)\/(-2))\/((-12)\/w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3910 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**2 - 58*o = 0. What is o?\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35467360 and 108.\nAnswer: 957618720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/(sqrt(324) + sqrt(324) + 1*sqrt(324)).\nAnswer: sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 5566750 to the nearest one thousand.\nAnswer: 5567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.23 - 113.77. Let h = 118.9 + k. Let z = 1.9 - h. What is the nearest to 0 in 0, z, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -2. Let c be 3*(q\/(-6))\/(-1). Solve -4 = -2*u, c*p - 2*u = -2*p - 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/(-10) + 0)\/(((-432)\/(-24))\/(-90)). Solve 9*w = 7*w - h*v - 19, 9 = -3*w + 2*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1472853883 to the nearest integer?\nAnswer: 38378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -0.5, 5, -8, -0.1.\nAnswer: -8, -0.5, -0.1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 3*c + 6. Let o(x) = 6*x - 19. Let h(w) = -3*w + 10. Let l = 72 - 66. Let t(i) = l*o(i) + 11*h(i). Calculate t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 49 + 29. Suppose 213*u - 215*u = -386. What is the remainder when u is divided by g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 387843551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*w = 69*w - 4*f + 4, 3*w - 6 = -2*f. Solve 2*r + 0 = -w, -4*r = 3*j - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -7*o**3 + 5*o**2 - 2*o + 7. Let r(s) = 3*s**3 - 3*s**2 + s - 3. Let n(c) = 2*k(c) + 5*r(c). Give n(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of -3\/4*n**2 + 3\/10*n**5 + 0 + 0*n**4 - n - 3\/4*n**3. Suppose x(y) = 0. What is y?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 5*h - 5*l - 46, 4*h - 144 = -3*l. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**3 - 29*s**3 - 15*s**3 - 22*s**3.\nAnswer: -66*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + j - 60, 2*t - 4*j = t + 30. Let u = -25 + t. Solve 2*b + u*f + 39 = 13, -20 = 4*b + 2*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*g + 3*g - 2*t, g - 2*t = 8. Suppose 0 = 3*z - g - 12. Suppose -2*q + 2 = -z*j, -6*j - 2*q + 2 = -4*j. Solve 4*c = -j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468)*1 + sqrt(468))**2 - (-2*sqrt(156))\/sqrt(12).\nAnswer: 2*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4*c + 17 = 0, -t + 3*t + 14 = 4*c. Suppose t*a - 7*a = -76. Let q = 8 + 2. Calculate the remainder when a is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75\/90*2\/(-20)*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9837 or -8638?\nAnswer: -8638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 10 + -51 + 19 + -10.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 777, -0.4, 0.1, 0.3 in decreasing order.\nAnswer: 777, 0.3, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do -2089854 and -4179705\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 20065857.\nAnswer: 2\/6688619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -8806910 to the nearest one hundred thousand.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1014690 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2606.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3081 = 2*g, -4*g + 1242 = -2*v - 0*g. Let p = 619 + v. Solve 4*w - 3 = -3*l, -4*l + 0 = w - p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*2\/4*-1*(-512)\/(-3584)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + -5 + (-81 - 1).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1280, 2546, 3812, 5078?\n\"Answer: 1266*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 6*a + 45 = 0. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*f**2*n**2*p + 44*f**2*p - 3*f*n**2*p - 4*n**2 + 41*p wrt f.\nAnswer: 4*f*n**2*p + 88*f*p - 3*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f**2 + 56*f + 57. Let r be y(-1). Solve -16 = -l + 5*u, -l + 4*u = -r - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q**5 + q**5 + q**5 + (70 - 70 + 17*q)*(0*q**4 + 3*q**4 + 3*q**4).\nAnswer: 99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -z, 5*z + 1 + 14 = p. Suppose c = p*c - 8. Suppose c*s - 15 = s. What is the remainder when 59 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12783621 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 2.3. Let f = -215 + 215.1. What is the closest to u in -3, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6*z**3 - 6)*(0 + 1 + 0) + 0 + 0 + 3*z**3 + 4*z**3 + 0*z + 0*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (-25 + 14 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 767789 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*m + 62, -47 = 3*b + 2*m + 139. Let t(k) = -k**2 + 332*k + 11982. Let r be t(365). Which is greater: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20 and 4776.94.\nAnswer: 95538.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2914 divided by -406\nAnswer: -1457\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2314 and 4598?\nAnswer: 10639772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -287 - -395. Let b = 15 + 165. What is the greatest common factor of b and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/90 and 172\/69 - (-345)\/(-138)?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0.626, 0.1, 6380, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from gfgfqgga.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -31693.222129 and -0.01.\nAnswer: -31693.232129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**2 + 13*s + 50. Let q be p(9). Suppose 20 = -0*c + q*c + 5*x, -18 = -4*c - 3*x. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = -2*f - 2*v, -4*f = 2*v - 22. Let d be 1\/(-4)*f\/5. Let o = 433\/91 - 60\/13. Which is the nearest to -2\/5?  (a) d  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*a + 6*a + 76. Suppose -4 = -2*u + 10. Calculate the remainder when a is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/18*(-5)\/((-40)\/12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.612053839*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 122*s**3 - 11*s + s - s - 11 + 198*s**3 - 10*s**2. Let a(x) = -15*x**3 + 2*x**2 + 2*x + 2. Determine 11*a(l) + 2*t(l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1978 + -2033. Which is the third biggest value?  (a) -2\/7  (b) -0.2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 6534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -5*j**4\/3 + j**3 + 2*j**2. Let i be k(3). Let t = -81 - i. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**2\/3 - 58580*a\/3 + 171580820\/3 = 0 for a.\nAnswer: 5858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 + 13. Calculate the highest common factor of 612 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11185.6208399 + 11170.4209. Let j = 15.2 + f. Round j to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {z: 1, u: 2, f: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (-3 - (-9 + 8))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 53\/4 of a century?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1525 + 1504 - 6644 = -215*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*s**2 + 2367*s + 678.\nAnswer: -3*(s - 113)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5\/4, 16.5 in increasing order.\nAnswer: -5\/4, 5, 16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4 + sqrt(99) + 1 + sqrt(99))**2.\nAnswer: 48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 10. Suppose -1 = -i*c + 17. Solve -t + c = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**4\/2 + 9514*u**3 + 45701895*u**2 + 4211432818*u - 8514288455\/2 = 0 for u.\nAnswer: -9467, -95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 78906 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, 0.095, -0.1?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00570902 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 344224.5 centuries to millennia.\nAnswer: 34422.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 4*x**2 + x - 2. Let k be h(-2). Suppose k*f - 450 = -m, 4*f = 2*f - m + 224. Round f to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -708276*p**3 + 8001*p + 45 wrt p?\nAnswer: -4249656*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*r**3 + 37*r**3 + 32*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + g - 7 = 0, -2*g - 19 = 2*q - 5*q. Suppose 1 + q = 2*x. Let b(j) = -3*j**x - 672*j + 672*j. Let w(h) = 8*h**2. Determine b(w(k)).\nAnswer: -192*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -266.\nAnswer: 5\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2002 + -2021?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 2*u + 44, -3*u = -3*t - 8*u + 59. Let w = -8 + t. Suppose b - 250 = n - 4*n, -w*n + 450 = -5*b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -315291 + 315290 - 14*q**2 + 0*q**2.\nAnswer: -14*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (22 - 21)\/((-2)\/(-6)). Suppose u*n - 5*b = -10*b + 20, -b = -3*n + 14. Suppose 36 = 4*j - 4*g, -n*j + g = -21 - 20. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 337265.6 litres?\nAnswer: 337265600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -9*z**2 - z - 11. Let l(v) = 5*v**2 + v + 6. Give 6*f(s) + 11*l(s).\nAnswer: s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**2 + 5*m. Let n(y) = 9*y**2 - 24*y. Let j(z) = -5*n(z) - 24*w(z). Let x(v) be the first derivative of 0*v - 1\/2*v**2 + 2. Determine j(x(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 4:15 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 4*t + 4*r + 0*r = 2*r - 45, 2*t + 27*r - 2 = 0 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -38 + 5670?\nAnswer: 5632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-19.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 6 = w + 2*t, 4*w = 3*t + 31. Let v be w + 2 + -2 + -2. Solve v*g + 5*f = 10, -f + 14 = 4*g + f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 3*p**3 - 29*p**2 - 4. Let u(c) = -4*c**3 + 29*c**2 + 3. Let r(k) = -3*h(k) - 4*u(k). What is the third derivative of r(a) wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 22325546 - 101?\nAnswer: 22325445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55904*l**3 - 55847*l**3 - 55847*l**3 + 167605*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4257 and 22011.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1149\/320 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1510034497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11652.\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**3 - 4*f**3 + 3*f**3)*(0*f**2 - 3*f**2 + 2*f**2) + 3 - 3 + 3*f**5 + (-f + 5*f + f)*(2*f**4 - 5*f**4 + f**4) - 1 - f**5 + 1.\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -338, -366, -390, -410, -426?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -4 - 6*b - 2*b**2 + b + 0*b**2. Let c be 12\/90 - 88\/(-15). Let q be (-6)\/2 - (5 + (-30)\/c). Calculate f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b. Let v(l) = -2*l**2 + 3. Let g(a) = a**2 - 1. Let h(j) = 6*g(j) + 2*v(j). Give h(n(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -46110.949 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 19.01*5.7\nAnswer: 108.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 15)*(6*b - 9*b - 17*b)*(1 - 1 - 5) in the form r*b + a and give r.\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/((-1 - -2)*-1). Suppose 0 = i - 0 - 1. Is 1 + q - (i - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.002168*-1447\nAnswer: -3.137096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 45*g + 12. Let o be h(-45). Solve -o = 7*l - 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14460797 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3d + d33?\nAnswer: cf6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 295 or 204?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0021803 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -13360, -26662, -39964, -53266?\n\"Answer: -13302*o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + r - 1. Let p = -2 - -3. Let b(m) = 3*m - 3. What is p*b(k) - 3*x(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 4 + 24 = 4*a, -a + 6 = -2*o. Let q be o - ((-3)\/(-3) - 14). Let k be (q\/7)\/(8\/308). Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 100 = -80 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297 = -4592*h + 4625*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 1:08 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -5621*v - 27. What are the prime factors of t(-4)?\nAnswer: 17, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + 17 + -20 + -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3644477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 9:50 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1815)*-3 - (3*(sqrt(1815) + sqrt(1815)*2) + sqrt(1815)))\/((sqrt(125) + 1*sqrt(125))*-4*2).\nAnswer: 11*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -51.759 + 51.4. Let m = 21.641 - l. Put 0, -1\/8, m in increasing order.\nAnswer: -1\/8, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 2\/7, -5, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(6 - 3 + 16 + 12)*(2*z**4 - 3*z**4 + 2*z**4).\nAnswer: -31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - -12. Suppose 90 = 7*c - 4*c. Suppose q - c = -4*q. What is the remainder when o is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 3*j = -24. Let m be 5\/(-5)*2 + j. Sort -3, m, -1 in descending order.\nAnswer: -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*q**2 + 78*q**2 - 116*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-12))\/(51\/(-68))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/8 in -0.3, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, d: 1, o: 2, v: 3, x: 7, c: 2}. Give prob of picking 1 z and 1 x.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 4:06 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -90*c - 22 + 216*c - 65*c wrt c.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + 6464?\nAnswer: 6469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55*g + 55*g + 2*g**3)*(-4 - g**2 + 4).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6742585 or 1.7?\nAnswer: -6742585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjcjceecjcccjje. What is prob of picking 2 c and 1 e?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5814 and 4224?\nAnswer: 4093056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 35a54 (base 14) to base 11\nAnswer: 8a473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 2602.\nAnswer: 13010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*1*sqrt(132))\/sqrt(12)*2.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 19020?\nAnswer: 19020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21661221 + 201?\nAnswer: 21661422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -21 in -0.3, 5, -1\/39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (3\/9)\/((-5)\/(-300)*-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) + -6*1*sqrt(85))\/(-1*sqrt(245) + sqrt(5)))**2 + -1.\nAnswer: 389\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14530154*o**2*y + 222*y + 34063 with respect to o.\nAnswer: -29060308*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 1164*i. Let g(c) = 2*c**2 - c + 7. Let l(n) = 5*n**2 - 2*n + 14. Let d(o) = 4*g(o) - 2*l(o). What is v(d(p))?\nAnswer: -2328*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2235280 divided by 4\nAnswer: 558820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 5*a, 0 = 2*a - 6*t + 8*t. Suppose a = 13*h - 6*h - 21. Solve -h = 2*j + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-7)*f\/f**7)\/(f**0)**(-23))**(3\/13) assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2. Let z(d) = d - 10*d + 3*d. What is i(z(m))?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w**2 - 1130*w**3 + 2*w - 17 + 381*w**3 + 377*w**3 + 373*w**3 as f + q*w**2 + z*w + r*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g\/(g*((g**3*g)\/g*g)\/g*g*g)))\/g)**(-2\/25)*g**(2\/3)*(g*g\/g**4)\/g assuming g is positive.\nAnswer: g**(-199\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from djdjvvdvdjjvjdddjj.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-15)\/2*10\/(-3). Suppose -q - 4*m - 4 = -0*q, -q - 2*m = 0. Suppose -q*a = -i - 91. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - y - 1. Let g(o) = -o**2 - 2*o + 3. Let u = 1 + 1. Let m(t) = u*d(t) + g(t). Let n(z) = z**3 + 5. Let w be n(0). What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -13*j**2. Let z(k) = -44*k + 1. Determine z(c(q)).\nAnswer: 572*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 15 = -7*r. Suppose -r*l + 26 = 3*p, 31 = 5*p - 0*p - 4*l. Calculate the remainder when 12 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/15, 0.8, 3\/2, -5, -7, -1\/119?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 11*t**2 + 9*t + 9. Let i be k(10). Let z be (1 - -23)\/i + 0. Let c be z\/(-28)*4\/6. What is the nearest to -1\/3 in 0.1, 2\/13, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52 - -46. Let x be (h\/15)\/(2\/(-50)). Solve 4*q + q - x = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -690, 166 in descending order.\nAnswer: 166, -3, -4, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 9*l**2 - 14*l - 7. Give u(-9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 83*w**2 - 6*w - 12. Let h(r) = 3*r**2 + 55*r + 24. Let z be h(-18). Let j be x(z). Round j to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1544820249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 s when three letters picked without replacement from vsfsffss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 72180 divided by 7218\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35 and -64\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*d + 7 = -35*d + 3*u, 4*u = -191*d + 74 - 249 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1592 = 995*d - 69*d + 25668 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 100\/4*64093\/14975\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*j - 5787 - 3882. Let n = 1726 - j. Suppose -4*o = -n - 933. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74817 and 4075.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, w: 1, f: 2}. Give prob of picking 1 t and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2573 divided by 2573?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 785 a factor of 3416320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*c*r*w - 6*c*w - c - 23*r*w wrt c.\nAnswer: -8*r*w - 6*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 4:37 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 1816*q**3 + 2*q**2 - 2*q + 2. What are the prime factors of c(1)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 590 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 1150014.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 85329.73 years in months?\nAnswer: 1023956.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 - 1 + 1)*(2 - 2 - 2)*(-2*x + 0*x + 0*x).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 2*z**5\/3 + 1770*z**4 + 3505844*z**3\/3 - 8276108*z**2 - 17316310*z\/3 + 88578050 = 0.\nAnswer: -1331, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -28.154*-0.2\nAnswer: 5.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504)*1 - sqrt(56))\/(6*(sqrt(8) + sqrt(32))).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -5.5.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 387 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hssehhsshsheehemmhh?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 49 = -3*q + 29, 3*b = -2*q - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**2\/3 + 312830*w\/3 + 24465652225\/3 = 0. Calculate w.\nAnswer: -156415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**3 + 4*k + 517 - 1025 + 518 - 4*k.\nAnswer: -k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 7*d**2 + 6*d + 76. What are the prime factors of b(12)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27*p*r**5 + 48285*p*r**3 - 4256661*p*r wrt r.\nAnswer: -540*p*r**3 + 289710*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 17281*c**3. Let o(m) = 640*m**3. Determine 6*n(g) - 165*o(g).\nAnswer: -1914*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 d when four letters picked without replacement from gcgdggdgdgddc?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5406 is divided by 268?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-8))\/((26 + -12)\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 16 = 3*c + c, 3*v - 3*c = -18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 8:23 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + 1. Suppose t = -u + y, 5*u = u - t + 24. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 24948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 348883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 145\/2775438 and 127\/134730.\nAnswer: 13877190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -1\/297078236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.088, 0.979, -5, -1 in decreasing order.\nAnswer: 0.979, -0.088, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 132594 and 512295?\nAnswer: 11270490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + s. Suppose s = -b - 4*b - 125. Let n = 10 - b. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 626, -0.5, -2.\nAnswer: -2, -0.5, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 89 - 265\/3. Determine x, given that 0 + 2\/3*x - t*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74560812 to the nearest integer?\nAnswer: 8635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -11*r - 8. Let s(n) = -8 - 1 - 9*n - 2*n. Let m(t) = -2*s(t) + 3*v(t). Differentiate m(d) with respect to d.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23 in 2, 0.094, 4?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2390876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i - i**2 - 2*i)*(1 - 5 + 2) + 118*i**2 - 323 + 323 to the form v*i + x*i**2 + t and give x.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -465 + 575. Is 107 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 135054564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.228 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + w + 9. Let a be -1 + 2 + -1 + 0. Let h be x(a). Let r(u) = u - 7. Let c be r(h). Solve -10 = 3*s + c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n**3 + 5*n + 6*n**2 - n + 11*n**2 - 19*n**2 to v*n**2 + p + c*n**3 + b*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - b**2 - b - 23. Let r be (16\/5)\/4*5. Suppose 66 = 2*a - 4*m - 70, 0 = -r*a + 5*m + 287. What is the remainder when a is divided by t(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 = -3*p + 3*t - 25, 0 = 2*p - 3*t - 42. Suppose g - 284 = -4*h, 0 = 3*h + h - 3*g - 268. What is the remainder when h is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 957198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15761 (base 9) to base 6.\nAnswer: -122044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h + 11 + h - 2*h. Let j be n(-8). Let -4*y + 6*y + 0*y**j - 3*y**3 + y**3 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(-7)*(-154)\/44.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 0*y + 5*y = -255, 249*h + 84 = 251*h + 4*y for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -1. Let q(x) = x**2 + 7*x - 1. Let z(b) = -b**2 - 6*b + 1. Let o(k) = -6*q(k) - 7*z(k). Calculate o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14415343 is divided by 701?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 9:22 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11547.60196304 plus -0.3?\nAnswer: 11547.30196304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -40095.458 and -0.89.\nAnswer: -40096.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xrlasalsh. What is prob of picking 1 x and 1 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**3 - 2*f**2 - f - 5. What is m(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -13893*c + 11. Let o(b) = -2*b. What is d(o(n))?\nAnswer: 27786*n + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 747036 is divided by 124504.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -3*f + 76, -n - 3*n - 4 = 0. Let v = f - 17. Solve v*m - 4*m = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - -2 - (9 - (7 + -10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 800 + -817 + 2 + 0 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3*59*(-3)\/9. Suppose 6*w - v - 241 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 - 3201481*g - 61 + 29.\nAnswer: -3201481*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.27814 centuries to years.\nAnswer: 6927.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/14)*p*((p*p*p**(-2\/49)*p*p)\/p)\/p*(p**(1\/5))**(-22\/3) assuming p is positive.\nAnswer: p**(2089\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45103\/5 - 180307\/20. Determine g, given that -117*g - 267\/4*g**3 - 465\/2*g**2 - l*g**4 + 54 = 0.\nAnswer: -6, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 39*h + 50. What are the prime factors of r(-22)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 56\/(-12))\/(4 - 9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 4, -3*a + 49 = 4*d + 45. What is the smallest common multiple of 59 and d?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 e, and 1 m when four letters picked without replacement from eknmlne.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p**2 + 8377*p - 2873310 = 0. What is p?\nAnswer: -8707, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 1417827?\nAnswer: -1417832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 30\/28 + (-1)\/2. Let w = 1481 - 1481. What is the nearest to -2\/5 in 2.1, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39762073.\nAnswer: 13, 967, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mgmmgmzgmggmmgz. What is prob of sequence zgm?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 106 and 2173.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 677\/5 + -136. Suppose 3*y + 2*h + 14 = -8, 30 = -5*y - 2*h. Let q = -149\/20 - -33\/4. Which is the nearest to q?  (a) z  (b) y  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27)\/(-6)*160\/120.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*k + m = 21, 4*k - 21 = m. Suppose 4*u + u = 20. Solve l = -3*w + 14, -5*w + k = -u*l - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.06 - 4.06. Let m = 10 - a. Let v = 13.96 - m. What is the second smallest value in -3, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/((2\/(-3))\/((-260)\/(-60))). Solve 7 = u*h - 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 3*h = -9, 61*s - 63*s + 10 = 2*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qvbbi. Give prob of sequence qb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 6297047, 1.\nAnswer: -19, 1, 6297047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 17781851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16.494 + -0.006. Let j = -16.2 - v. Which is the fourth biggest value?  (a) j  (b) -3  (c) -0.3  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1004 * 4255.09.\nAnswer: 4272110.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 77481878 a multiple of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 16, m: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 18615290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 391*m + 58595. What is y(-150)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 149, -917 in ascending order.\nAnswer: -917, -11, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-9))\/(z*z**1))\/(((z\/(z*z\/z**(-1))*z)\/z*z)\/z)**(-11) assuming z is positive.\nAnswer: z**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k + 178. Let o(z) = -60. What is -4*m(y) - 14*o(y)?\nAnswer: -4*y + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -11111001010 (base 2) to base 15\nAnswer: -8ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -199689\/13 <= -15361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4433)\/1320 - 8\/192)*-5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 340655, 340937, 341219?\n\"Answer: 282*a + 340373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 177048?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15951199*p**2 + 10139204*p + 1 wrt p?\nAnswer: -31902398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 24*t - 9. Let g be f(-18). Let p = 0 + 3. Suppose 2*z = -2*d + 10, d + 2*z = -p*z - 11. Calculate the highest common divisor of d and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13\/26*16\/352*11)\/(62\/(-16))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {h: 4, b: 1, y: 8}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*p = 163*p + 1135 + 337. Put 1, p, -1, 4 in descending order.\nAnswer: 4, 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125994 (base 16) in base 8?\nAnswer: 4454624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13468*-270\nAnswer: 3636360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 209 - -170121096693\nAnswer: 170121096902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 14*s**2 + 15 + 0*s**2 + 0*s**2 - 7*s**2 + 13*s + s**3. Let t be f(-5). Suppose 5*q - 7 - 8 = t. What is the smallest common multiple of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 5*s - s + 20, 0 = -4*g - s - 20. Let z = g + 9. Sort -4, -3, z in descending order.\nAnswer: z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -2. Let g = -1106.3 + 960. Let u = g - -146. What is the third smallest value in u, l, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j + 20. Let a be l(-17). Solve -3*n - 6 = -a*c, n - 4*c = -0*c + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 26*r + 256. Let s be v(-8). What is the greatest common divisor of 21 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102622?\nAnswer: 2, 13, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/6 and -9\/415.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -58080 divided by -33?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -100 + 90. Let r = -10.1 - u. Let c = -4.04 - -4. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) -4193.6  (c) -5  (d) -0.1  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, u: 5, o: 4}. Give prob of picking 3 i and 1 o.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 7*y + 10*y - 7*y)*(4*y**4 - 5*y**4 + 0*y**4).\nAnswer: 4*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 2*n + 2*d + 14, -n + 3*d + 10 = 0. Let m be (4\/2)\/n + 3. Find the third derivative of 4*c**5 - 4*c**5 - 9*c**6 + 6*c**6 + m*c**2 wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 74*k**2*x*y + 5*k**2 + 455*k*x*y + 1329*x*y - 1170*x wrt k?\nAnswer: 148*k*x*y + 10*k + 455*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/k**(-2))\/(k*k**(-1\/3)\/k*k)*k**(-4)*k\/k**(-3\/2))\/(k*k\/(k\/(k*(k**2\/k)\/k))*k**(2\/11))**13 assuming k is positive.\nAnswer: k**(-1751\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.5 - -1.414. Let q = f - 33.914. Let c = q - -33.9999921. Round c to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79, 294, 653, 1156, 1803?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 1 + 3 = -2*y, 5*y = g + 29. Suppose y*v - 18 = 7. Suppose 0 = i - v*r - 165 - 2, 0 = i - r - 159. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**3 - 375*g**2 - 5032*g - 4656 = 0.\nAnswer: -12, -1, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1575, 3372, 5237, 7206, 9315, 11600?\n\"Answer: 6*w**3 - 2*w**2 + 1761*w - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -6 and 0.15587?\nAnswer: 6.15587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 59*j**2 + 34*j + 23. Let k be y(7). What is the hundreds digit of (k\/40)\/(-2 - 36\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71 + 459*h**2 + 149*h**2 + 71.\nAnswer: 608*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -1561, 9.\nAnswer: -1561, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.4  (b) -0.3  (c) -17  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 156621, 156605, 156567, 156495, 156377, 156201, 155955?\nAnswer: 155627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2d390 + 5?\nAnswer: -2d38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3))**(-1\/47)*(y\/(y\/((y\/((y*(y\/(y*(y**(-2\/13)*y)\/y))\/y*y)\/y))\/y)*y))\/y*y\/(y*y**(3\/8)) assuming y is positive.\nAnswer: y**(-12049\/4888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = f - 2*b + 26, 5*f + b = 49. Suppose -2*d + 102 = -4*y, 0 = -5*y + 24 + 11. Calculate the remainder when d is divided by 14 - -2*f\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -26*a**2 - 30*a. Let v(x) = 5*x**2. Calculate c(v(m)).\nAnswer: -650*m**4 - 150*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1392*l*y**2 - 3*l*y + l - 7*y**4 + y**2 + 2684 wrt y?\nAnswer: -2784*l - 84*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t**2 + 6*t**2 - 3*t**2)*(t**2 + 3*t**2 - 5*t**2) + 38*t**4 - 6*t**2 - 36*t**4 - 4*t**2 to the form k*t**3 + b*t + g*t**2 + o + l*t**4 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 244*h + 190*h + 4*h + 380*h to l + d*h and give d.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 + -0.3. Let c = -3949 - -3951. Put o, 4, c in decreasing order.\nAnswer: 4, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3868 - 16*n + 3795 - 7577)*(-5 + 3 - 1)*(0 + 2 + 0).\nAnswer: 96*n - 516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 + 0 + (7 - -3) + (-7 - (9 - -3))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of z**4\/4 + 3*z**3 + 3*z**2 - 10*z + 1. Let h be o(-8). Let y(l) = -2 - 3*l**2 + 4*l - h*l + 2*l**2 - 6*l. Calculate y(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/26 + (-287)\/91?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1521*f = -41648 + 9707 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 203, 214, 225?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.9784 and -5?\nAnswer: -9.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18828679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 6*x)*(-2 + 1 + 2) - 17*x + 2*x - 15*x to z*x + h and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 1625932?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 5*h - 87. Calculate f(11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/15)\/((-8)\/20)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**2 - 62466*r - 2817045.\nAnswer: 3*(r - 20867)*(r + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*k**5 - 146714*k**3*q + 4*k**2*q + 2*k*q + 24421*k + 2*q - 4 wrt k?\nAnswer: 60*k**3 - 880284*k*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 723*(-5)\/(-315) - (-2)\/(-6). Let x = -461\/42 + l. Which is the nearest to x?  (a) 0  (b) -1\/4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -d**4\/10 + 11151*d**3\/10 - 3344*d**2 - 22302*d\/5 + 66888\/5 = 0?\nAnswer: -2, 2, 3, 11148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1448 + -1443. Let s = -0.6 - -0.1. What is the closest to -1 in f, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -4*m**2\/3 + 123128*m\/3 + 41044 = 0.\nAnswer: -1, 30783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -7160*y - 85918. Determine n(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -8*w + 3. Let a = 146 - -78. Let y(d) = -2*d - a + 224 + 3*d. Suppose -7*o + 4*o = -5*g - 42, -3*g - 10 = 2*o. Determine g*y(v) - n(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/926, -4, 11.\nAnswer: -4, 1\/926, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-2 + 1 - (0 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - 102122122121?\nAnswer: -102122122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14893 by -153.\nAnswer: 14893\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 13761*o\/7 + 3930\/7.\nAnswer: 3*(o + 655)*(7*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5 + 56 - 4) + 1. Suppose 0 = n*j - 47*j + 135. Round j to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5094468 by 54.\nAnswer: -94342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 65*n**4 + 90*n**3 + 25*n**2 = 0?\nAnswer: -1, -5\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12465500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/10 and 107\/1738?\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**4\/11 - 8*w**3\/11 - 182*w**2\/11 + 980*w\/11.\nAnswer: 2*w*(w - 7)**2*(w + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 2*h. Let u be (-12)\/(-42) - 66\/(-14). Let f = u - 7. Put h, -3, f in increasing order.\nAnswer: -3, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 - -44. Let l be (9 - j) + 2 - 2\/2. Suppose -18 + 24 = -3*d. Sort l, d, -4 in increasing order.\nAnswer: -4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54 - 32. Suppose -4*z + 26 = -2*h, -5*z + 49 = -0*z + 3*h. Suppose z*j + 348 = 12*j. What is the remainder when j is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -56, 9, 90, 181, 276, 369?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 10*w**5\/7 - 1354*w**4\/21 - 76582*w**3\/21 + 1143046*w**2\/7 + 947136*w\/7 - 1156608 = 0?\nAnswer: -251\/5, -3, 7\/3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 99.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 39469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/4 + 3\/12. Let t(x) = -x**3 - x. Let s(m) = -7*m. Let b(j) = 11*j. Let u(f) = 5*b(f) + 8*s(f). Let y be -1*((2 - 1) + -2). Give c*t(k) + y*u(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 3*b**2 - 8*b - 14. Is 8 a factor of f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 106055\nAnswer: -1\/106055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 9:46 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*i - 4 + 1 + 3.\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i + 3*i - 9*i + (0 - 1 - 6)*(0*i - i + 2*i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/3)\/((-2)\/(-12)). Let a = 1 + -1. Suppose a = -3*k + 3 + 3. Solve -k*t = -0*t + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -16 - 64\/(-6)*(-63)\/28\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4085487 and 1050?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/9  (b) 0.117  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 - (-2 - (-2 - 2)). Suppose -2*g = -4*g - 6, -l*g - 35 = -2*w. Let f = w + 20. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*i + 72*i + 5166 = 72*i for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/4*(1 - 13). Let y be c + 4 - (1 - 0). Suppose 0 = 2*m - 0*m - 4*i - 10, 5*m - 51 = -3*i. Solve -q - y = -3*h + 4*q, q + m = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15617247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 + d - 6. Let l be t(-3). What is the common denominator of 2 + l - (-68)\/10 and -1 + 6\/(-2) - 1704\/(-72)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cnc when three letters picked without replacement from ccllnllccollnnllllcl.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 - -35. Let x be s - (-9 - (-3 - 0)). Suppose x*o + 750 = 14*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*l + 39*l + 9*l + 50*l to the form c + r*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5 = -0*i + i, 4*i = -3*j - 20. Let w(t) = -t**3 - 4*t**2 + 6*t. Give w(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*((-177)\/(-4366))\/(-3 - 9\/(-6))?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 11806157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m + 4. Let n be a(-5). Suppose 1980000 = -6*b + n*b. What is b rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in -55\/8, -2\/29, 0.0064?\nAnswer: -55\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rmrr when four letters picked without replacement from mmrmrrrmmrrrrr?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -0.14, -1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 53, 307, 905, 2021, 3829, 6503, 10217?\n\"Answer: 29*h**3 - 2*h**2 + 57*h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1871674920 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7897990 is divided by 1316331.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8592625\/(-106)*(-32)\/(-2). Round m to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 106*r + 1164. Let i be a(-11). What is the biggest value in 0.22, i, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 417*y = 23*y - 475*y - 46057 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/3*(-9)\/2. Suppose 4*z = -16, -3*k - 3*z + 0*z + 27 = 0. Suppose k = -8*b + 7*b. Let i(g) = 7*g. Let v(r) = 15*r. What is b*i(n) + m*v(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (22\/4)\/(5\/(-10)). Let t = f + 19. Suppose 3*l = t*l. Solve l = 2*x - 7*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 152 in 4\/3, -700, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**12*c*(c*c**7)\/c)\/((c*c**(2\/3)*c)\/c**(4\/3)))**(1\/5) assuming c is positive.\nAnswer: c**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-79)\/((-18802)\/204))\/(((-675)\/3906)\/(-25))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**5 - 24*z**4 + 75*z**3 - 114*z**2 + 84*z - 24.\nAnswer: 3*(z - 2)**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 215 and 130.3?\nAnswer: 28014.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -18\/473 and -9\/17234572.\nAnswer: 189580292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.5 - 0.5. Let g = 0.27 + -0.17. Which is the closest to g?  (a) -3  (b) t  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 81*f - 279*f + 1 - 156*f - 33*f. Let o(u) = 2*u. Calculate w(o(s)).\nAnswer: -774*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 460\/(-414)*((-3)\/5)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2645 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {y: 3, l: 5, m: 3, b: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46\/(18\/144*-8))\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 236582 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 180914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*i + 73*i = -45*i. Let x be (-16)\/(-6)*18\/728. Which is bigger: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2 + 119*g - 7. Let o(k) = -3*k**2 + 179*k - 10. What is 5*o(r) - 7*s(r)?\nAnswer: -r**2 + 62*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/9 - 2047598*s\/9 - 2047604\/3.\nAnswer: 2*(s - 1023802)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4568496 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/3 - 1827695*t**3\/3 + 1827693*t**2 - 5483077*t\/3 + 1827692\/3.\nAnswer: (t - 1827692)*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 827 = 1812. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1230 and 9510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -4*p + 6, 3*g - 10 = g. Suppose -p*h = 10 + 10. Does 6 divide (4\/h)\/((-2)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 18224, 18255, 18300, 18353, 18408, 18459?\n\"Answer: -t**3 + 13*t**2 - t + 18213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-75)\/(-20))\/5 + (-394)\/(-8). What is the highest common factor of 125 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/6 - 7*v\/3.\nAnswer: v*(v - 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - -11 - 8 - 12 - 15 - -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**4\/7 + 522*t**3\/7 + 528*t**2\/7 - 1048*t\/7 = 0. Calculate t.\nAnswer: -2, 0, 1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8627 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 + 9 - 11 + 17*k**5 + (3*k**2 - 3*k**2 - k**2)*(-4*k**3 - 2*k**3 + 2*k**3).\nAnswer: 21*k**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 79061 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 992352 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2 + sqrt(50))**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x - 1. Let y(o) = -30*o - 6. Give 18*h(p) - y(p).\nAnswer: -6*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 13*q**2 + 2*q - 40. Give y(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9601 = -34*v - 9499 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 111057 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: Let f(w) = -w**2 - w - 5. Let j be f(0). Put 4, -2, j in descending order.\nAnswer: 4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1613 = -d + d - 430*i - 107, -2*d - 12 = i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 285, 1129, 2535, 4503, 7033, 10125?\n\"Answer: 281*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57\/49 + -611\/441. Which is the nearest to 1?  (a) -0.2  (b) q  (c) 0.5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2. Let b(m) = 3*m**2 - 1. Let q be b(1). Let s(u) = -u**q - 2*u + 2*u. What is f(s(a))?\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 158093.6 times -1?\nAnswer: -158093.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (14 - (-3 + 62))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -1\/2  (b) 0.07  (c) 3\/7  (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - 36 + 36)*(z + 2*z - 2*z)*(-7 - 4*z**2 + 0 + 2*z**2) + (-2 + 7 - 2)*(2*z**4 - 6*z**4 - 6*z**4) + 0*z**4 - 2*z**4 + 4*z**4.\nAnswer: -36*z**4 - 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -4*p**3 - 116*p**2 - 11*p + 10. What is the remainder when l(-29) is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68265227 - 24*y**2 + 68265227.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u - 13. Suppose -2*l + 4*v = -32, -4*l = -3*l - 3*v - 21. Let m be 3 + 1 - (4 - l). Let g(w) = -5*w + 2*w + m + w. Determine 13*g(a) + 6*t(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 divided by 9622856?\nAnswer: 7\/2405714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kvrrururwrrk. What is prob of picking 2 r and 1 u?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1076, 1149, 1222, 1295?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4977*p = -4981*p + 9987*p + 1015 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12*t*x**3*y + 12*t*x*y**2 - 2*x**3*y + 398*x**2*y**2 + 4*x wrt t?\nAnswer: 12*x**3*y + 12*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 7*m**3 - 5*m**2 + 86*m - 106. Let p(y) = -100*y**3 + 70*y**2 - 1205*y + 1485. Let q(r) = -6*p(r) - 85*x(r). Determine n so that q(n) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 - -93. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-138)\/(-1265))\/((-36)\/(-30)*(-5)\/(-15)*-2).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -123243 - -1?\nAnswer: -123242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 12:03 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 4*n - 8, 2*n + 0*v = v + 10. Suppose 4*c - 8*c - a - 4 = 0, -4*a + 3 = -n*c. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/470 and 7\/5060?\nAnswer: 237820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 28*(-4)\/(-16) - 526. Let o = -274 - v. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27468 * -0.76\nAnswer: 20875.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 46538580 a multiple of 1605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**2 + 13. Let t(l) = 7*l**2 - 18*l - 10. Calculate -4*q(v) - t(v).\nAnswer: v**2 + 18*v - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 10:59 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17301228013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2362 - -11161?\nAnswer: 13543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-308)\/(-20) + -8 + -10 + 14 + -8. What is the nearest to 1 in h, -4, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7673986, -7673985, -7673984?\n\"Answer: i - 7673987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 157*y**2. Let k(b) = 31*b**2. What is k(x(s))?\nAnswer: 764119*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8215, -8216, -8217, -8218, -8219?\nAnswer: -8220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2. Let s(t) be the third derivative of t**5\/60 + 6*t**2. What is b(s(a))?\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.9869 - -0.0131. Sort 0.047, r, -0.4 in descending order.\nAnswer: r, 0.047, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12.639 - -12.747632. Let o = -0.108 + z. What is o rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 4*f + 2. Which is the nearest to f?  (a) -2\/15  (b) -2  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10*(-2)\/5*(4 - 3). What is the closest to -116 in -1\/7, 1, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30*c**4 - 115*c**4 + 9*c - 32*c wrt c?\nAnswer: -1020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 - 44. Suppose 2*f + 9427696 - 1807696 = u. What is f rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 961*s**2 + 2 + 959*s**2)*(-4*s**2 + 8*s**2 + 9*s**2 + 3*s**2 + 0*s + 0*s + (0*s - s + 0*s)*(2*s - s + s)).\nAnswer: -28*s**4 + 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*u - 18*u = -288. Let p(v) = -12*v**3 - v**2 - 5*v + 5. Let x(r) = -13*r**3 - r**2 - 6*r + 6. Give u*p(d) - 5*x(d).\nAnswer: -7*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of u**4\/4 - 3*u**3 - 5*u**2\/2 - 6*u + 440. Let v be 2\/5 - (-96)\/10. Is t(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 5*f**2 + 3*f. Let s be z(3). Let d be ((-486)\/(-30) + -17)\/(2\/5). Put s, -3, d in descending order.\nAnswer: d, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8445 + -1560. What is the greatest common divisor of 85 and i?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 288\/5*u - 1036*u**2 + 5184\/5 - 288\/5*u**3 - 4\/5*u**4 = 0.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*r + 0 = 3, -7 = -5*m + 2*r. Let l = m - 1. Let j be (-12)\/20*(1 + l). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*a + 9*a**3 - 14*a + (3*a**2 - a**2 + 6*a**2)*(0 + 6*a + 0).\nAnswer: 57*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o = -509 + 446 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 173 - 167. Solve -11*q = -14*q - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 25029, 45067, 65105, 85143?\n\"Answer: 20038*l + 4991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5728900 rounded to the nearest 100000?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + h + 1956 - 234 = 0, 3*q = -h + 5158. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14834, 14840, 14838, 14816, 14762?\nAnswer: 14664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + g - 4 = -0*t, -3*t = -g - 10. Let b(r) be the first derivative of -3\/2*r**2 - 3\/4*r**4 + t*r**3 + 0*r + 3. Suppose b(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h**2 - 12*h - 2. What is v(-5)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1153 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84959140 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 91 = 87, -78 + 60 = 2*x - 3*d for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 + 5.89.\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125526 is divided by 91.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 270 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 10*r + 240. Let w(d) = 216*d + 35. Is w(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/5?  (a) -600  (b) -1\/8  (c) -1  (d) -7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (19 - 14)*6\/10. Let i = a + 8. What is the remainder when 19 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -85*d**4 - 19*d**3 - 4695*d**2 wrt d?\nAnswer: -2040*d - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1465835\/63 + 6\/(-27). Suppose 0 = -11*d + 416 + u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/(-8))\/((-7)\/84). Calculate the highest common factor of c and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -5*t**3 + 498*t**2 - 5994*t + 26. Calculate g(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*p + 1. Find the second derivative of 3*h**5 + 12*h - 3*h**5 - p*h**5 wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -941 - -1387. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209 = 4*w + j, -2*w + 3*j = -7*w + 270. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m. Let p = 3 - 3. Let v(u) = 3*u - 43. Let k be v(15). Let l(h) = -11*h**k + 0*h + p*h. What is l(c(q))?\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 588948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/140 and -143\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 742135 and 69848.\nAnswer: 5937080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*t, 0*g - 3*t = -5*g + 31. Suppose -2*b = -4*i - 86, -2*b - 37 = 2*i + 3*b. Let l = i + 31. Solve l = g*c - 5*x, -4 = -2*c + x + 4*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*h - 174*h + 4*i = 9, -21*h + 4*i = -17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 93 = -0*f + 3*f, 117 = 3*f + 5*x. Calculate the greatest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x + 41. Let y(b) = -35*b**2 + b - 23. Give w(y(g)).\nAnswer: 35*g**2 - g + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -l - 5*g, l = 2*l + 3*g + 5. Suppose -5*m - 80 = -l*m. Solve x - m = -0*k + 3*k, -5*k - 2*x = 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 489*j = 476*j + 8697. List the prime factors of j.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5013653683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1.1  (b) 1\/257  (c) 5  (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-3)*(-1)\/4. Let d*s**2 - s + 1 = 0. What is s?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 0, 5*p + 72 = p - 5*t. Let k be p\/(-3) - 3 - 297\/3. Let l = -61 - k. Is 35 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/j**(4\/7)*j**(11\/5)*(j*j\/((j*j**(-3\/7)\/j)\/j))\/j**6)**(-24) assuming j is positive.\nAnswer: j**(-888\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*g - 3*g + 105 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.7014 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of -d**5\/20 - d**4\/4 + 23*d**3\/6 + d**2\/2 - 45*d\/4 - 578. Determine l so that u(l) = 0.\nAnswer: -9, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 66 = 4*o. Let m(y) = -y - 1. Let k(x) = -11*x + 6. Let n(d) = -k(d) + 5*m(d). Let p(j) = -j + 2. Give o*p(c) + 4*n(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(2\/41)\/(x\/(x\/x**(-23)))*(x**(-7))**10 assuming x is positive.\nAnswer: x**(-1925\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0021126 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 9*s**2 + 3*s - 7. What are the prime factors of l(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -8.05 and -0.25?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (540\/129)\/4. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8*0.22\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 5*y = 55, 2*y - 36 = -3*v - 8. Let a(o) = 4*o**2 - 6*o - 6. What is the least common multiple of a(v) and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 7*f + 3. Let v be r(4). Let y(w) = w**3 - 16*w**2 + 18*w + 22. Is y(v) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 494 + 45b?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -p - 31, -p + 5*i = i + 37. Let z be p\/(-12) + (-2)\/(-8). Suppose 2*y + m + 4 = z*y, 2*y = 5*m + 11. Solve -1 = -2*w + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 4*u + 824 = 0, 41*u - 2060 = -5*f + 37*u. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 35 = -119. Suppose 5*m - 39 = x. Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -88\/9639 and 47\/2187.\nAnswer: 260253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/135, 0, -3556 in descending order.\nAnswer: 0, -1\/135, -3556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 4*r - 30. Let j(y) = 6*y + 10. Let g(f) = 236*f - 121*f - 1 - 116*f. What is r*g(b) + 2*j(b)?\nAnswer: -2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4600164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4333846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -47bbba?\nAnswer: 47bbb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 540, 518, 458, 342, 152?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ohh when three letters picked without replacement from {d: 1, k: 1, h: 3, p: 1, o: 2, j: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*i**2)*(6*i**2 - 3*i**2 - i**2) - i**4 + 4*i**4 - 5*i**4 + 2*i**4 - 2*i**4 + 4*i**4.\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjyybbjj. Give prob of sequence bj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a - 4*u + 11, -3*a = a + 2*u + 22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00010826 to six decimal places.\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 o, and 1 p when four letters picked without replacement from {p: 3, o: 6, q: 4}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 18*h**2 + 2*h - 1. Is x(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h**2 - 2*h + 0*h**2 + h to the form w*h**2 + q + p*h and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 68386891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 + 9*w - 14. Let o be v(-10). Let i = 1 + o. Let n(h) = -3*h + 1. List the prime factors of n(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-183)\/(-30))\/1 - 3. Suppose -4*o + 0*o + 2*f - 2 = 0, -18 = o + 3*f. Let n = l + o. What is the third biggest value in n, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from {s: 9, l: 1, d: 2, x: 1, f: 6}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = -3*y - 6, -110*q - 10 = -107*q + 5*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 + 1133 = 61*h - 7 - 191 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*12\/(-1)*(-1155)\/(-420).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v + 48. What is s(0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.06 + 0.06. Suppose 2*r - 4*r - 14 = 0. Let d be (-55)\/(-154) + (-1)\/r. Which is the second smallest value?  (a) v  (b) d  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 3*y - 21, 5*y + 3*j - 23 - 14 = 0. Let t be (4 + (-208)\/56)\/((-2)\/(-14)). Let p be t + (3 - (1 + 2 + -3)). Solve p*o - 18 = -y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 10:08 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 11*z**2\/3 + 40*z\/3 - 16\/3 = 0?\nAnswer: -4, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 10*c - 32 = -o, -3*c + 100 = 4*o. Calculate the remainder when 50 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from iyyiykyvyyk.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + 2. Let o = 2 - t. What is the remainder when 17 - -1*1\/o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 10:02 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 15 = 2*f + 5, 4*f + 7 = 5*p. Which is the closest to -2\/5?  (a) -5  (b) f  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3455 and -1.\nAnswer: 3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 4:33 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y - 7 = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**3 - 358*x**2 + 27417*x = 0. Calculate x.\nAnswer: 0, 111, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75730.\nAnswer: 2, 5, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13043 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 103256 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*h + 448436 = 36*h. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 140*a**2 + 127 - 127 + (-3 + 2*a + 3)*(2*a - 2*a - 2*a).\nAnswer: 136*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.509471 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k - 8*k + 2*k**2 - 3*k**2 + 24 + 3*k.\nAnswer: -k**2 - 6*k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -858113?\nAnswer: -858113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7161 - 7*g + 7161.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jik when three letters picked without replacement from jkiifiiikkkiikfkiiji?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 1755 = u + 5*z, -4*z = 8. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 154226e?\nAnswer: -154226d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-52))\/(888\/(-36)). Let o = 78947\/40404 - w. What is the common denominator of -41\/15 and o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 12 = 4*k. Suppose 11*a - k*a = 140. Calculate the least common multiple of 8\/4 + 7*2 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2.3 or -8742495?\nAnswer: -8742495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4186 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 + 15*h**2 + 29*h + 38. Let d be u(-13). Let i = 108 - 127. Put -5, d, 1\/2, i in descending order.\nAnswer: 1\/2, d, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 7*g**2 - 29*g + 16. Let y be w(4). Solve y*z = 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 5. Suppose -5*r + a*i + 92 = 0, 2*r - 4*i + 20 - 68 = 0. List the prime factors of (r\/(-5))\/((-2)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 438410*h**2*r**2 + 101*h**2 - 5*h + 2*r**2 - 52 wrt r.\nAnswer: 876820*h**2*r + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21517 (base 13) to base 16.\nAnswer: -eb18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 122 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 0 - 4. Let g = -3 + f. Let a(k) = 14*k**2 - 1. What is the units digit of a(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14193 + -14169. What is the remainder when 64 + 0*(-2)\/2 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaataaaaaaa.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*t - 4*t - 9*t as r + b*t and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 204.4 and 0.218?\nAnswer: 204.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 433688 and 108422.\nAnswer: 433688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39 + -18. Suppose c - 10 = 2*i, -2*c - i + a = -6*i. Solve 4*y = 2*d - 1 - 3, -2*d = 2*y + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -129541, -128699, -127851, -126997, -126137, -125271, -124399?\n\"Answer: 3*r**2 + 833*r - 130377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 100*(-2 + 36\/15). Suppose 0 = -30*p + 32*p - b. Calculate the remainder when p is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) 3  (b) -5  (c) 2  (d) 2\/69  (e) 0.018\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 32\/57 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5369356, 10738792, 16108228?\n\"Answer: 5369436*t - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v**3 + 3*v + 3. Let s be m(-1). Suppose 4*l + 0*l = -2*z - 12, z + 2 = 2*l. Let h = 0.7 - 0.9. What is the biggest value in h, z, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 4:54 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 8, -0.3, 21\/4, 1\/10, 25, -5, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73309 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2055 = -3*q - 0*q, 0 = -q - 2*v + 700. Suppose 5*j = 365 + q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m - 6. Let r(x) = -x**2 - 3*x - 2. Let o be r(-2). Suppose -b = -o*b - 4. Let q be s(b). Solve -5*a = -5*h - 5, 5*h - q*a = 2*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2646528?\nAnswer: 2, 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*c**3 + 0*c + c**2 - 2*c - 34*c**3 in the form u*c**3 + q*c + n + s*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cntk when four letters picked without replacement from cknft.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 - 25*b + 65. Let v be o(-21). Is v less than or equal to -283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -9068.2 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 11:16 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1401 and 5.\nAnswer: -0.7005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 73*j - 16. Let z(c) = -145*c + 33. Let u(a) = -13*s(a) - 6*z(a). What is the units digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z*z*z\/(z*z*z**(1\/9)\/z)*z*z*z))\/(z\/z**4*z*z))\/(z**(-1)*z)**(1\/9))**(-18) assuming z is positive.\nAnswer: z**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-400)\/(-20) + 3 + -78 + -3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5*x - 6. Suppose 4*a + 5 + 19 = 0. Let w(q) = -4*q - 6. Let s(d) = a*f(d) + 5*w(d). Differentiate s(m) wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 q when three letters picked without replacement from {z: 1, q: 3, v: 2, o: 1, l: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 74\/3 + -25. Let m = -0.1 - -0.4. Let q = 379\/5 - 76. What is the nearest to -1\/2 in m, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 118677*0.7\nAnswer: 83073.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2403*l**2 + 80*l + 77*l - 157*l.\nAnswer: -2403*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 0*y + 0*y**3 - 8 + 0*y**4 + 5\/6*y**6 + 1\/2*y**2 + 0*y**5. What is the second derivative of w(m) wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o**3 - 5*o + 11. Let p = -1321 - -1318. Let z(q) = -6*q**3 + 14*q - 32. What is p*z(x) - 8*r(x)?\nAnswer: 2*x**3 - 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*o - 14*o**2 + 0 - 19\/3*o**3 + 1\/3*o**4.\nAnswer: o**2*(o - 21)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 263601115, 263601117, 263601119, 263601121, 263601123, 263601125?\n\"Answer: 2*z + 263601113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11530.\nAnswer: 2, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/9)\/(3\/(-72)). Suppose -4*x - 2*c = -200, g*x - 4*c = 3*x + 237. Let r = x + -33. What is the remainder when 47 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.3 + 0. Let g = -3 - o. Let x = 1.4512 + 0.5488. What is the second biggest value in -5\/2, -3, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1995 - -0.199484323. What is j rounded to seven dps?\nAnswer: -0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y - 4 + 78 + 72 = -94 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000545657 rounded to seven decimal places?\nAnswer: 0.0000546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/((-104)\/(-6))*48\/81.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that v**3\/2 + 399478*v**2 + 159589862845*v\/2 + 1436179337649 = 0.\nAnswer: -399469, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 1:52 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -69877260 divided by 3?\nAnswer: -23292420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 4*q**2 - 1215*q - 41506. Let t be z(-31). Let j be (4 - 2)*(4 + 0). Solve 0*w + t = -3*y + 3*w, 0 = y + 2*w - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-6))\/(-4*10\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 5)\/(-4 - 26\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10181007 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+1669.2\nAnswer: 1669.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 - 2)*(14*u**3 + 3*u**3 + u**3) to the form p*u + x*u**2 + t*u**3 + q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 418 - 415. Put -3, -2, u, 5 in decreasing order.\nAnswer: 5, u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (17*w**2 + 68*w**2 - 494*w**2)*(-w - 9*w**2 + 2*w**2 + 53 - 52) to i*w + k + o*w**2 + z*w**4 + d*w**3 and give o.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - k - 4 = 0, 2*t - k + 0*k = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 + 1250*h**2 + 1810*h**2 + 2304*h + 1419*h**2 + 634*h wrt h.\nAnswer: 8958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -8. Suppose 0 = 4*k - t*k + 9. Sort 0, k, 5 in descending order.\nAnswer: 5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3786 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 191*k**2 - 69*k - 7. Determine x(1).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 5*a**2 + 15*a + 7. Let d be l(-7). Let h be (-4)\/(-1345)*(-40)\/(-16). Is h smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nrnb. What is prob of sequence rb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 683.1026 millilitres in litres?\nAnswer: 0.6831026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8540 and 180.\nAnswer: 76860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 84, 170, 256, 342?\n\"Answer: 86*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = -2*t + 11 - 7, -4*t = -2*x + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.147 and -874?\nAnswer: -1002.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0186 times 7.7?\nAnswer: -0.14322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*v**2 - 2)*(-4*v**2 + 0*v**2 + 2*v**2 + (-2*v**2 - v + v)*(5 - 3 + 0)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 5323928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 119922304 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5808291?\nAnswer: 3, 1936097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.054 and -0.2.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-8))\/((-2)\/(-24)). Suppose 0 = -b*c + 7*c. Suppose c = 4*y - 79 - 109. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 4 - 64 = 0. Suppose 20 = 4*r, -5*u + r = -2*u + 53. Let m be u\/240*c\/(-4). What is the nearest to 3\/7 in -3, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*c - 46 = 126*c + 294 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -420*n**3 - 6 + 13 - 87*n**3 + 2*n**2 + 67*n**3.\nAnswer: -440*n**3 + 2*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -11*x - x - 7 + 10. Let a(v) = 12*v - 4. Let z(r) = -6*a(r) - 5*p(r). Let h(m) = m - 1. What is -9*h(i) - z(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -26\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7214 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -r**3\/6 + 4*r**2 - 5*r. Let d = 14 - 10. Give g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2957 + 2965. Solve -a*c = -4*c - 2*o - 6, 4*c = 3*o + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 41?  (a) -0.3  (b) 5  (c) -1  (d) -0.196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 41363 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -544 + -1673?\nAnswer: -1bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - -2034?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d = 378 + 293. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51388154 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.58 - 0.58. Let s = 2 - 1. What is the nearest to z in s, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 678\/13, -0.3, 2, -108\/29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 6*m**2 - 374*m + 1831. What is k(57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of o**5\/20 - 5*o**4\/6 + 4*o**3\/3 + 5*o**2 - 3*o. Let q be c(9). Let p = 142 + -147. Sort q, p, -3 in descending order.\nAnswer: q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.3809974986 take away -0.08?\nAnswer: -19.3009974986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1236\/5*w + 492 + 3\/5*w**2.\nAnswer: 3*(w - 410)*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x = -3*x - 115. Solve 5*f + x = 3*z, 5 = 4*z - 3*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4cc5 (base 14) to base 13\nAnswer: -61b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 5*j**5 - 930*j**4 - 5755*j**3 - 1080*j**2 + 23120*j - 15360 = 0.\nAnswer: -4, 1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8 and 39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47703750 by 10.\nAnswer: 4770375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -3*v + 364, -v + 47 = 4*r - 46. Suppose 4*z + 25 = v. Calculate the least common multiple of z and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -800?\nAnswer: 3\/800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-52)\/(-10))\/((-71)\/((-3550)\/20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42 + -45. Let d = -0.8 - 1.2. Let w = 0.5 + 0. What is the third biggest value in b, d, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**2\/l*l)\/(l\/(l*l\/l**(-2\/3))*l)*(l*l*l**(-2)*l)**(-1\/2))\/((l**(-1\/2))**(-31)*(l*l**0*l)**(3\/2)) assuming l is positive.\nAnswer: l**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2681737 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(66)\/(2*sqrt(600)) + 5)**2 + ((2*sqrt(99))\/sqrt(9) - sqrt(11) - sqrt(11) - (sqrt(11)*2 + -4))*4.\nAnswer: -38*sqrt(11)\/5 + 12811\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -212.395546 to 1 dp.\nAnswer: -212.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4590367 is divided by 458.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s, w = 5*s - 5 + 1. Let u = w - -7. Suppose 2*y + u*r = -r - 6, -5*y + 2*r = 15. Let a(o) = -o**2 - 5*o - 2. Give a(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4*y = -34 + 2, -3*s - 2*y = 19. Let l(q) = -q - 7. Let b be l(s). Suppose -t - 4*t + 60 = b. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1329?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 5*a**2 + 2*a. Let m be l(-1). Let h(o) = -o**2 - m*o - 3*o**2 + 0*o**2 + 1 - 6 + o**3. Determine h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 174 + -362?\nAnswer: -1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22004940 is divided by 353.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -210.6 - -211. Let z = -16\/201 - 17\/67. What is the nearest to 2\/3 in 0.5, z, o, 46?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -8*h - 4. Let j be q(-1). Solve -2*o + 2 = -j*m, 0*m - 5*m - 5 = -3*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0873 and -0.0727.\nAnswer: 0.00634671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d - cbca?\nAnswer: -cbbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cycyyyc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 260880 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-8)\/(-4)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 263*y - 2828 = -444*y. Factor 0 + 0*f - 1\/2*f**y + 0*f**2 + 0*f**3 - 1\/2*f**5.\nAnswer: -f**4*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -374, -765, -1156?\nAnswer: -1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 913\/161 + -40\/7. Let z = 41\/115 - s. Let j = -362 - -5432\/15. Put j, z, 0 in ascending order.\nAnswer: 0, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60 * -168\nAnswer: -10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d. Let q be z(3). Let t = 5 + q. What is the third smallest value in 5, t, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -8.3. Let s = 0.4 + -0.3. Let w = -1308 - -11770\/9. Which is the closest to s?  (a) q  (b) w  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -b + 7, 27*p = 32*p + 5. Suppose 3*a + 0*k - 2*k - 27 = 0, 18 = 2*a - k. Suppose q = a - 1. Is b not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**4\/4 + 3*t**2\/2 + 3*t - 2. Suppose -22*x = -19*x - 831. Let h = x - 279. What is a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7\/28 - (-39)\/4. Let w = 18 - a. Calculate the greatest common divisor of w and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1823 != -3666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 9:57 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 3 + -9 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 980.\nAnswer: -3\/980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 484034 plus 1534463?\nAnswer: 2018497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of m**4\/12 + 25*m**3\/6 + m**2 + 54*m. What is k(-20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 17 - 11. Let x(q) = -q + 1. What is x(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-21) - 57\/(-7). Let h be f\/(-8) + (-8)\/(-2). Suppose h*t - 16 - 53 = 0. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 - 1)*(2*f - 2*f + f)*((4 - 3 - 3)*(1 + 0 + 2) - 4 - 2 + 7).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*c - 42*c = 1716. Suppose -22*n = -4943 + 1313. What is the highest common divisor of n and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 9:15 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*x = 55*x - 565 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s - 3. Determine k(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 275 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**2 + 0 + 3 - 2 + 11*k to p*k**2 + x*k + c and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 44\/198 + 218\/(-9). Which is smaller: -26 or b?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 146\/(-90) - (11 + 806\/(-65)). What is the nearest to -2\/5 in -0.03, -1\/4, -1, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 569*x - 60068. Calculate c(-140).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*n*w**3 - 879*n*w**2 + 41*n*w + 6*n - 2*w**3 - 1757*w**2 - 43 wrt n.\nAnswer: -2*w**3 - 879*w**2 + 41*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, t: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y**2 - 7*y + 5. Let z be 2\/4 + (-13)\/(-2). Let m(j) = -2 - 1 - z - 5*j**2 + 13*j. Let f(i) = -4*m(i) - 7*p(i). Determine f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 801 - 799. Suppose 0*f + 5*f - 20 = 0. Suppose -3 + 23 = f*a. Calculate the lowest common multiple of a and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 4. Let w(u) = 8*u**3 - u**2 + u - 1. Let i be w(s). What are the prime factors of 1*i*(-162)\/(-63)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20997 + 70793?\nAnswer: 49796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8 - 2) + 6\/2. What is the third derivative of -2*h**5 - 17*h**5 - 172*h**3 + 172*h**3 + c*h**2 wrt h?\nAnswer: -1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-3)*12\/(-8). Let q be (-36)\/120 + t\/5. Let g = 159 - 163. What is the third smallest value in 4, g, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -36*t - 2. Let m be 0 + 3 + -1 + -8. Let b = m - -10. Let h be n(b). What is h rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -82, -182, -314, -472, -650, -842?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2274*w - 117 = -2313*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*l**3 + 4*l**2 + 88423*l - 227179572 wrt l?\nAnswer: 6*l**2 + 8*l + 88423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 941 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -5*l - 35, 5*h - 5*l = 4*h - 13. What is the units digit of h\/(-10)*(2 - 17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of 1919*v**7\/42 + 567*v**4\/4 + 1502*v. What is the third derivative of f(b) wrt b?\nAnswer: 115140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 48181989 and -196.\nAnswer: 48181793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 176, 135, 64, -37, -168?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 645537 + -5?\nAnswer: 645532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {h: 3, u: 3, y: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -0.23, 29.5, -3 in decreasing order.\nAnswer: 29.5, -0.23, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.29 + -2.89. Let b = 1 - 1.1. What is the second biggest value in m, 1\/7, b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 31\/7 + (-18)\/42. Let g be i\/20 + 6688\/10. Let d = g + -473. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (27\/12)\/(2\/(-8)). Is (-1)\/(12\/8)*q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -93, -231, -425?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 16771621?\nAnswer: 16771621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -4*g + 46213 + 103307, g = -6. What are the prime factors of l?\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3272543 to the nearest integer?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21104*u**3*x**3 - 2*u**3*x - 2*u**2*x + 19*u**2 - 36*u*x**2 wrt x?\nAnswer: 126624*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**1*n\/n**1*n**5*n*n**(-4\/19)*n assuming n is positive.\nAnswer: n**(148\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + ((-12)\/10 - ((-155)\/(-25) + -7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.036 and 555.\nAnswer: 554.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 8, e: 2, a: 5}. Give prob of picking 2 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 11:46 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l - 1 + 13 - 3 + 3. Let t be i(8). Suppose -3*m - d = 4*d - 223, 0 = 5*m + t*d - 376. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 10:13 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.809 minus -5?\nAnswer: 35.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -465.609706 - -465.65. What is u rounded to 3 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.12 + -3. Let x = -0.12000118 + m. What is x rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + 0)*(-2)\/26. Let p = 2.03613 - -2.96387. What is the nearest to k in 2\/13, -5, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/6126696 and -29\/1062.\nAnswer: 361475064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -53, 60, 5, -6.\nAnswer: -53, -6, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 11971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2*s**3 - 534*s**2 + 480008*s - 957864 = 0.\nAnswer: -642, 2, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - 3*q. Let x be j(0). Solve -y + 4*u - 6 = x, 4*y - u = u + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39797 + -27584. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 y when four letters picked without replacement from {y: 5, h: 2, i: 3, w: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -489787*h + 497414 with respect to h.\nAnswer: -489787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 3 = i. Let y(v) be the first derivative of 0*v - 1\/3*v**3 + 0*v**i + 3. Let m(a) = -a**2. Calculate y(m(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8845591 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 47476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 14) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -143 - -1286\/9. Which is the closest to -1\/5?  (a) q  (b) -0.2  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 10\/463, -0.3, -19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7230186336 to the power of 1\/2, to the nearest integer?\nAnswer: 85031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1091*o = 1173*o - 1547 - 1487 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4101983 to the power of 1\/2, to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 140740 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(84\/16)*42\/4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1597, -3138, -4677, -6214, -7749, -9282?\nAnswer: -10813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -12. Let h(j) = j**3 + 6*j**2 - j + 2. Let k be h(-6). Let r = k + s. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 0*c = 72. Suppose -3*v = 14 - 92. Let p = v + c. Solve u + p = -4*n + 3*u, 2*u + 4 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13358522, -13358525, -13358528, -13358531, -13358534?\n\"Answer: -3*x - 13358519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 + 3*u)*(10*u - 31 + 31) + u + 5*u**2 - u.\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15168, -30350, -45536, -60726, -75920, -91118, -106320?\nAnswer: -121526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24804 divided by -6.\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4224)\/(-234) + -18 + (-95)\/78)\/((-3)\/342)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 + 89. Suppose 50 = f - q. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 32987328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - (-8)\/(-20))*15. Let a(y) = -y**2 + 8*y + 7. Let l be a(k). Is l bigger than -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 12010222100101?\nAnswer: 12010222100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, q: 2, w: 1}. What is prob of picking 2 f and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**4 - 5087*r**3 + 1921156*r**2 - 4458364*r + 1272848 = 0. Calculate r.\nAnswer: -2014, 1\/3, 2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 4*h**2 + 2*h + 2. Let r(i) = i**2 + i + 1. Let v be 225\/20 + (-3)\/(-4). Suppose 17*a - 5 = v. Determine a*c(q) - 2*r(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 1  (c) -5  (d) -764053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 57*8\/52*13. What is the greatest common factor of 5168 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = -3*p + 22. What is the least common multiple of 3 and (-22)\/p + 9\/(108\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 18  (b) 0.5  (c) 0.1  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-3\/7)*((s\/(s**5*s))\/s*s)\/s)\/(s**(4\/7)\/(s\/s**(-1))))**22)**14 assuming s is positive.\nAnswer: s**(-1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 16*u - 18*u - 13, u + 6 = 2*o. Let s(v) = 25*v**2 + 1 - 13*v**2 - 15*v**2. Determine s(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/7 - 99*h**2\/7 - 2580*h\/7 - 17732\/7.\nAnswer: -(h + 11)*(h + 26)*(h + 62)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 194.4\nAnswer: -194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -1. Let d(k) = 3*k - 8. Let p be d(z). Let j(y) = -y**2 + 9*y + 11. Let x be j(p). Is x at least 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/45)\/((-3)\/(-75)*5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lnl when three letters picked without replacement from {l: 3, n: 1, b: 1, h: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.47 - 3.3712. Let r = b + -0.0987119. Round r to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w**3 - 185*w**2 + 79*w - 2928. What is b(37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**(-12))*w*w**(-2\/15)*w)\/((w**(-2\/3)\/w)\/w)**5 assuming w is positive.\nAnswer: w**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -414 - -417. Suppose 546 = 21*q - 26*q - 2*m, 0 = -s*q + 4*m - 312. Which is bigger: q or -111?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n + 108*n**2 + 4*n - n + 110 - 106*n**2 in the form i*n + p + l*n**2 and give p.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 463237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -17*g**2 - 4*g + 3. Let i = -104 + 109. Let t(k) = -12*k**2 - 3*k + 2. Let f(x) = i*v(x) - 7*t(x). What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.51 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30779399.13869361 - -30779399. Let z = 0.1387 + l. What is z rounded to seven decimal places?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.38 + -0.81. Let t = p + 0.430027. Round t to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -5000.33?\nAnswer: 500.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o**2*q**3 + 1138*o**2*q - 10*q**3 + 17*q**2 + q wrt q?\nAnswer: -12*o**2*q - 60*q + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*x - 8*x - 16. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -7*u**2 + 72*u - 50. What is y(14)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*(0 + 1)*-14. Let g = w + -12. Factor h + h + 4*h**2 + 6*h - 6*h**3 + g*h**3.\nAnswer: -4*h*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jghjjjhgdjuuju. Give prob of sequence huj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2031, -2262, -2495, -2730, -2967, -3206?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18088\/3 + 74965\/12. Which is greater: 218 or y?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*g**4 + 4645*g**3 + 18685*g**2 - 23325*g = 0. What is g?\nAnswer: -5, 0, 1, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 3*r - 59. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f + 2. Let l be x(1). Is -3\/10 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46920, 47067, 47306, 47631, 48036, 48515, 49062?\nAnswer: 49671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 2*h + 2*h + h**3 - 3*h + 3. Differentiate w(q) with respect to q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + 2*o + 4. Let x be y(-3). Let h(k) = -2*k**2 - 30. Let b be h(9). Let g = b + 192. Solve 4*r - x + 3 = g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-7\/3)\/(w\/(w\/w**(1\/2)))*w\/(w*w**23)*w\/w**(-6\/13))**(5\/2) assuming w is positive.\nAnswer: w**(-9505\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1))**15*b**(3\/4)*(b**(-7)*b)\/b*(b*(b**(1\/4)\/b)\/b)**(2\/105)*(b\/(b\/(b*b**1\/b))*b)\/b**(1\/5) assuming b is positive.\nAnswer: b**(-545\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*j + 832 = 80*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2*v = 15. Let u be ((-20)\/(-6))\/((-2)\/v). Suppose -i = -u*i + 108. What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195708554?\nAnswer: 2, 97854277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 10*c - 65. Let r(w) = -w + 6. What is 6*p(g) + 65*r(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1304385 + 4*t**2 + 108*t + 1304385 to the form y*t + w*t**2 + z and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**5\/2 - 1387*j**4 - 814154*j**3 + 1638027*j**2 + 4901589*j\/2 = 0 for j.\nAnswer: -1929, -847, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 45 (base 15) to base 16\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 3*r**2 + r - 2. Let x be h(3). Suppose -4*b - 4 = -3*v + x, 5*b = 20. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = -43*g + 17000. Let l = g - -105. Calculate the greatest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59832 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10741 - 10740. Sort 4, o, 5, 2, -15 in decreasing order.\nAnswer: 5, 4, 2, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -0.104, 3, 9\/4?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17424 and 7920.\nAnswer: 87120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 355 + (10\/6 - (-11)\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/7 in 1.1923, 0.2, -0.1?\nAnswer: 1.1923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/29591875 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + 2 = 37 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 538471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*p - 159*p - 120*p - 306*p - 47*p in the form z + l*p and give l.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u - 5*u - 111 + u + 115. Determine j(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2036 - 85*k - 2165 - 14*k + 19*k wrt k.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -4 + -4 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + l**2 + l - 1. Let s(i) = -52*i**3 - 5*i + 16*i**3 + 10*i**3 - 6*i**2 + 27 - 22 + 16*i**3. Give -5*n(h) - s(h).\nAnswer: 5*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 3*m + 3. Let v be a(-4). Suppose 0*i + 3*i - 3*c = 564, 5*i + 5*c = 950. Let w = 194 - i. Is w less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4*s. Let q(z) = -6*z + 22. Let k(m) = m - 4. Let r(j) = 11*k(j) + 2*q(j). Let f be (-2 + 1)*(-1 + 0). Suppose 6 = 5*b + f. Give b*i(u) - 3*r(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*f - 24*f = w - 1112 + 1107, -12*w - 3*f - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**3 + 58*y**2 - 25*y + 715. Determine h(29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.4 + 3.8. Which is the third smallest value?  (a) 4  (b) p  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 7*x - 4. Calculate l(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-2)\/(-3))*54 + -8 + 17?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 10 - 25*m - 25*m + 100*m - 34*m to the form z*m + o and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 2107565 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + 31 + 57*s - 45 + 26.\nAnswer: s**2 + 57*s + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/14*76\/(-19).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 262 + -257.16. Let p = o - -0.16. What is the closest to 7 in p, -4, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5185)\/(-6222)*30\/(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -93408277 + 93408199.999958. Let g = 77 + n. What is g rounded to 6 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -0*s - 2*s + 19, 16 = 5*d + 3*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6*(27\/(-6) + 25\/5). Let x(o) be the second derivative of -1\/6*o**3 + 0 + o - 2*o**2. Determine x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 102591928 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(17)*-1*-4 + 0)*-1.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 10153*u**2 - 4*u - 28. Let p(r) = 50765*r**2 - 21*r - 147. What is -21*d(z) + 4*p(z)?\nAnswer: -10153*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((5 - 8 - 10)*(-j - 3 + 3) - 17 + 7*j + 17)*(1 - 4 + 4)*(-2 + 0 + 4) + (4*j - 5*j + 2*j)*(2 + 1 - 1) + 2*j - 3 + 3 to the form i + s*j and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -5*b**3 - 4*b**2 - 7*b + 1. Let g(f) = -9*f**3 - 9*f**2 - 13*f + 2. Let u(j) = -4*g(j) + 7*h(j). What are the prime factors of u(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2828243669 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**2 + 2*g**3 + g**2 + (7 - 3 - 1)*(g**3 + 0*g**3 + 0*g**3) + 2*g**3 + 4*g**2 - 4*g**2.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/14*3*(-98)\/(-189)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 197*j - 199*j + 16 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/12)\/((-3)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6403748 divided by -1.\nAnswer: 6403748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 12:13 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 201, -623, 3, 4 in descending order.\nAnswer: 201, 4, 3, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 854 less than -92666?\nAnswer: -93520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 - 4)*(-4*k**2 + 5*k**2 - 3*k**2) + 111*k**2 + 132*k**2 - 8*k**2 to the form g*k + d*k**2 + z and give d.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 4 + 8. Is 5 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 15432499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -47 - -157. Suppose k - 6*k + j = 0. Suppose -5*v + 85 = 4*h - 3*h, 0 = -2*v + 2*h + k. Solve -p - v = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 838*z = -4*u + 840*z - 22576, -u - 5635 = -2*z. Which is the second smallest value?  (a) u  (b) -5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 55 + -239. What is the tens digit of ((-2)\/(-4))\/((-4)\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 7*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 925, 911, 895, 877, 857, 835, 811?\n\"Answer: -d**2 - 11*d + 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -8*b**2 + 4*b - 2. Let x be i(1). Is x not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**4\/12 - 7*i**3\/6 - 3*i**2 + 2*i. Let g be -4 + -4 + (14 - -2). Is a(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of 4199*v**4\/12 - 1349*v**3\/2 - 14608*v. What is the second derivative of p(u) wrt u?\nAnswer: 8398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 15*h + 173. Give z(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 31952*t**2 - 6*t + 4. Let c be n(2). Round c to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13814 - 8423. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -542 - -544.59. Let g = t - 0.51. Round g to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 + -80. Let z = -29 - i. Calculate the smallest common multiple of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1221202222000 - 1020?\nAnswer: -1221210000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -12002020221011 (base 3) in base 13?\nAnswer: -7378c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k, 1 v, and 1 t when four letters picked without replacement from tvpvkakkktvtt.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 8:36 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (85 - 177 - -57) + -44\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 84 = 2*w + 7*x, 2*w + 5*x - 88 = 0. Let s = w + -33. Let g(p) = 8*p**3 + p**2 - 4*p + 2. Is g(s) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2 - 2)\/(-4))\/(8*(-3)\/(-24)). Are o and 24\/467 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3 = 7. Let s = -5 + 10. Suppose -y + w*o = -2*o - 37, -285 = -s*y - 5*o. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28\/168*4\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 * -354.\nAnswer: -4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -165*p + 182*p - 18513. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5\/10)\/((-1)\/6). Let m = r - 6. Let v = m + 37. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18811752 divided by 712.\nAnswer: 26421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of c**5\/15 + c**4\/2 - 12*c**3 + 2*c**2 - 45. What is u in m(u) = 0?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + q - 4*q = 1875, -4*y = 3*q - 1473. What are the prime factors of y?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 426*u - 6045 = 2929 - 2584 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3549?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*j + 2*x = -20, -4*j + 15 = 5*x. Suppose 0*q - j = -2*q. Solve 5 = z, -q*t = -3*t - z + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1102693605*f**4 - 89771265*f**2.\nAnswer: 26464646520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33303 + 32988. Put -0.24, u, 0.5 in increasing order.\nAnswer: u, -0.24, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/14)\/((-20)\/(-140))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-3*sqrt(432)*-2)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v. Suppose -4*w + 0*k - 4*k + 1376 = 0, 2*w = 5*k + 709. Let o(t) = t + w - 347. What is m(o(c))?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*c = 102, -5*p = 5*c - 53 - 82. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q**3 + 9*q**2 + 3*q - 2. Let y be b(4). Let d = y - 46. Is (d\/(-50))\/(2 - 58\/30) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110*u + 16*u**3 - 84*u + 312*u - 118*u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -24 * -50475\nAnswer: 1211400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -276992, -3, 26 in decreasing order.\nAnswer: 26, -3, -276992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 3268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 + 44. Let a(r) = -2*r**3 - 6*r**2 - 6*r - 6. Calculate the remainder when a(-4) is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 m when four letters picked without replacement from {h: 4, m: 8, c: 5}?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -v**2\/2 - 5*v + 2. Let o be p(-10). Let f(t) = -t**3 + 6*t**2 - 5*t + 4. Let h be f(5). Sort h, o, -2 in descending order.\nAnswer: o, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 201*y - 202*y - 137 = -4*b, -2*b - 4*y + 64 = 0. Solve 0 = b*l - 19*l - 135 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**3 - r**2 + 4*r + 4. Let c(n) = -5*n + 44. Let o be c(9). Let v be p(o). Solve 0 = l - v + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of b**5\/20 - 5*b**4\/12 + 2*b**3\/3 + 2*b**2 + 4*b. Let o be u(4). Solve -36*m**4 + 13*m**4 + 22*m**o = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 v when four letters picked without replacement from {q: 1, j: 7, v: 5}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 11*c + 21. Suppose -361 + 115 = c*v. Let s = 237 - v. Calculate the highest common divisor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 3*w. Suppose w = -0*n + n. Suppose -4*k + 12 = 3*p - 17, 5*p = 2*k + 57. Put 1\/4, n, p in descending order.\nAnswer: p, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 5  (b) 1\/37  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 22*m + 1430 = 105*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1001 (base 3) to base 9\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -6*k + 2. What is j(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 4 - 5 - 85*d - 1.\nAnswer: -85*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -l + 2*z, -l + 0 = -z - 4. Suppose -4*t + 3*t + l = 0. Let w(a) = -a**3 + a**2 + 4*a + 1. Let p be w(t). Sort 0, 8, p in increasing order.\nAnswer: p, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21772489081 - 0.4\nAnswer: -21772489081.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 291 and 129?\nAnswer: 12513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23, -84, -173, -278, -387?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 - -11. Let d = j + 13. Let v = -13 + 12. Does d = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uon when three letters picked without replacement from {u: 1, o: 2, j: 2, n: 8}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -56.870324 - -56.87. What is g rounded to six decimal places?\nAnswer: -0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/9  (b) 3.37  (c) 57  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-37 - -52) + -97 + 15\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 297*y - 3870 - 5634 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**19*z\/((z**6*z)\/z)*z)**(-2) assuming z is positive.\nAnswer: z**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 26679, 27002, 27323, 27642?\n\"Answer: -k**2 + 326*k + 26354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26232*v**2 + 0*v**3 + 8745*v**2 - v**3 + 8745*v**2 + 8742*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 3*v - 10, 4*z - 2*v - 1 = -31. Let i = 7 + -5. Put i, z, 3 in ascending order.\nAnswer: z, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-2))\/(2\/10). Let v be (-4 - -2)\/((-2)\/(-4)). Let a = v + p. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7016 + -4531. Does 35 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 259 + -183. Suppose -3*m - 2*u - i = -314, 5*u = 3*m - 266. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of -1\/2*s**2 - 1 - s. Let f be d(-8). Calculate the highest common factor of 63 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*a + 219*a + 192*a.\nAnswer: 427*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqooqqoqoqouqoquqo. What is prob of picking 2 u?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -89726 divided by -221\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (0 + (6 - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-3)*h\/h**(-1\/4))\/(h\/(h*h*h\/(h\/h**(-20))*h))**(-2\/59) assuming h is positive.\nAnswer: h**(-269\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3*t + 222 = -0*t, -v = 5*t + 50. Let p = v + 48. Solve 1 + p = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 20*j**3 - j**2 + 23*j - 46. Calculate c(2).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r + 0*r - 2*r**2)*(-r + 0*r - r) + (7*r + 43*r**2 - 4*r - 39*r**2)*(-4 - 2*r + 4) to the form o + d*r**3 + q*r + c*r**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 19\/7 - 6\/(-21). Suppose -126 = -0*l + g*l. Let t be 2\/(-7) + 16\/l. Is t not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21654 divided by 18\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 5 = 17. Suppose 5 = -2*h - 15. What are the prime factors of (84\/h)\/l*5?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(84\/288*-8)*(-10)\/3.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 0*z - 3*z)*(-3 + 3 - 2*z)*(-3 + 4 - 3).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 75*a - 850 - 425. Let x(o) = -o**2 + 20*o - 41. Calculate x(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1886322 and 14653168?\nAnswer: 1011068592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(66)*-5*4)\/(sqrt(24)*3)*-4.\nAnswer: -80*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12.99 + -13. What is the closest to -1 in -0.2, w, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - -73. Suppose -44*u = -49*u + p. Suppose 22*o = u*o + 1392. Does 50 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002191 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*z**3 - 2*z - 6*z + 5*z.\nAnswer: -13*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 5*k = 25, -3*z = 4*k + 3 - 2. Suppose z*a - 9 = 41. Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1143 + -716.6. Let w = j + -390. Let d = w - 41. What is d rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1074 + -1073.6. Let f be (-9)\/(-2)*2\/3. Which is the third biggest value?  (a) 1\/2  (b) f  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 11224043.\nAnswer: -4489617.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3139*d - 18518 + 123526 - 33871 = -167427 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 AM and 2:14 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7 + 3*r**3 - 1 + 2*r**3 wrt r?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36880 and 720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 17*q**2 - q - 18. Let u be l(-17). Let g = u + 13. What is the highest common factor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 25*i + 665. What is the remainder when d(40) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**3 + 7*r**3 - 3*r**3)*(-4*r + r + r)*(0 - 2*r + 0).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7601316778 to the nearest integer?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*h + 2435 = 37*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5236 = 5*i, 1312 = 3*i - 3*u - 1796. What is the greatest common factor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**4\/12 - 2*f**2. Let t be q(2). Solve t = -3*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - q - 385 = 4*q, 4*q = -5*r - 384. Let h be (3 - 3) + -2 + r. Let n be 66\/h - 1\/(-1). What is the biggest value in n, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from ktubkkkkl.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -2*g - 3*n + 22, 5*n - 34 = -3*g. Let k = g + 3. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u + 58. Let i be c(28). Let z(a) = i - 22*a**2 - a**3 + 15*a + 0 + 8*a + 0. Let n be z(-23). Solve w - n = -7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2024)\/69069)\/(12\/21)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 12:26 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -1\/23, 1\/3, -4\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 7 = -y, 9*m - 13*m = 3*y - 31. Let d be 5\/1*((-144)\/(-15))\/m. Solve 6*g + 5*j = 2*g + 27, 0 = -4*j + d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 471 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3830 is divided by 1798.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318253486 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1221101121221001 - -101?\nAnswer: 1221101121221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 12. Suppose -3 = 4*f + 3*g + 6, 2*g + 6 = -3*f. Factor -1\/2*i**2 + v*i + f.\nAnswer: -i**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 + 0 - (-312)\/(-76). Let s = 28.1 + -28. What is the closest to 1\/3 in s, q, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 560 and 228760?\nAnswer: 457520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16*(-42)\/(-56))\/(33\/(-44)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8\/7, 0.4, 2\/3, 0.1, 0, -1\/6 in decreasing order.\nAnswer: 2\/3, 0.4, 0.1, 0, -1\/6, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 5*y - 21 = 0, 3 = 2*u - 4*y - 1. Suppose 76 - 28 = u*i. Calculate the common denominator of i*3*6\/(-243) and -79\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2685239 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*j**5 + 2*j**3 - 321*j**2 - 196*j + 11 wrt j.\nAnswer: 80*j**3 + 12*j - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - -2)*(-1220)\/(-732). Let d(j) be the second derivative of 9\/8*j**2 + 5\/16*j**4 + 16*j + 3\/80*j**x + 0 + 7\/8*j**3. Factor d(p).\nAnswer: 3*(p + 1)**2*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 28, 42, 56, 70, 84?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 - 20.81. Let r = -0.04 + d. Let h = r - 0.42. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 1\/4, -4, 1, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 178*x - 6 + 359*x + 1 - 535*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -7*a + 47. Let y be t(6). Solve -4*o + i - 8 = 0, o + 2 = -i + y*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1835676135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {b: 5, h: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (4 - 10) + 9 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -426550 divided by 5?\nAnswer: -85310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 9*z + 9. Let w be i(-6). Let k be -12 + 987\/84 + 11\/(-4). Which is the nearest to -0.1?  (a) k  (b) 0.2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7294, -14586, -21880, -29176, -36474?\n\"Answer: -g**2 - 7289*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = n - 3*n. What is the greatest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 7) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**3 + l**2 - 7. Let t(z) = 20 + 8*z**3 - 17*z + 17*z - 3*z**2. Let g(w) = -11*p(w) - 4*t(w). Determine g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w - 33 - 15 = 0. Let r(c) = -c**3 - 12*c**2 + 2*c + 24. Let l be r(-12). Solve l = -5*o + w*j - 13, -2*j + 3*j = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 423434 and 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -91 in 1, -2\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -4. Suppose -f = -5*n + 94, h*n - 6*n - f = -32. Let b(z) = z**3 - 12*z**2 - 14*z + 20. What is the remainder when n is divided by b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25132 (base 6) to base 7\nAnswer: 13604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 168 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 26*q**3 - q**2 + 6*q + 5. Calculate k(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/618)\/(69\/(-828)). What is the third smallest value in h, -0.3, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 37 = 67. What is the derivative of -n*x**4 + 13 + 7*x - 4*x - 3*x wrt x?\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 8, 4*k + n = -2*n + 690. Suppose 6*a + x - 73 = 2*a, -4*a + 2*x + 82 = 0. What is the greatest common factor of a and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**2 + 6 - 2 - 4.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18*n**5 + 638*n**2 - 180*n - 162 wrt n.\nAnswer: 360*n**3 + 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -531 = -3*w - 27. Suppose 0 = -l - 3*l + w. Suppose 0*h + l = 2*h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 16) to base 9.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -29*k**2. Let u(h) = 88*h**2. Suppose -8*q + 171 - 35 = 0. Let b(c) = q*m(c) + 6*u(c). Let r(p) = p**2. Give r(b(d)).\nAnswer: 1225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 875862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 67874, 135119, 202364, 269609, 336854, 404099?\n\"Answer: 67245*c + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1.9 * 25.7\nAnswer: -48.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(((c*c**(-2)*c)\/c)\/c)*c**6*c)**47)**(-1\/3))**(-14) assuming c is positive.\nAnswer: c**(6580\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-996)\/(-913))\/((-2)\/(-22)). Solve -v = 2*i - 4*d, -21 = -3*i + 3*d - 27 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 238*d - 4998. Let z be u(21). Factor 16\/17*y + z - 12\/17*y**3 - 8\/17*y**2 - 2\/17*y**5 + 10\/17*y**4.\nAnswer: -2*y*(y - 2)**3*(y + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*j - 8, -2711*p + 52 = -2714*p - 4*j for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121701 is divided by 59804?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 582299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1182?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 5. Let k = -0.21 - -0.21. Is w bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c - 334aa3?\nAnswer: -334a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10697, -42787, -96253, -171083, -267265, -384787?\nAnswer: -523637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-78)\/(-7) - (-6)\/(-42). Calculate the remainder when 46\/4*(p + -9) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 1, 2.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/75*69 + 14.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6630*d + 6599*d + 1327730. What are the prime factors of d?\nAnswer: 2, 5, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 14*a + 2. Let j be v(3). Let z(o) = -o**3 + 7*o**2 + 21*o + 6. Let y be z(9). What is the highest common factor of j and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/335605593 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 399724 is divided by 477.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 56*c**2 - 36*c**2 + 43*c**2 + (0*c + c**2 + 0*c)*(5 - 2 - 5) + 6*c**2 - 2*c**2 - 3*c**2 - 4*c - c**2 + 4*c.\nAnswer: 61*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20954054*j**2 + 10177181*j**2 + 21835560*j**2.\nAnswer: 52966795*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - h + 0*h**2 - 185 + 367 - 183. Let c(l) = -13*l**2 - 31*l + 5. Let w(q) = c(q) - 3*y(q). Factor w(n).\nAnswer: -4*(n + 2)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 2*x. Suppose x*u + u = 0. Let y = -35\/79 - -367\/1185. Which is the closest to 1?  (a) u  (b) y  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, s: 1, p: 1, u: 1}. What is prob of picking 1 s and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 4*v - 2*c - 1082, 2*c + 546 = 2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 85374467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72 - 35 - 45 + 450*v**2 + 92 + 1846*v**2 - 15*v wrt v.\nAnswer: 4592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**37\/r*r*r**(1\/5))\/(r*r**(-11)*r**0) assuming r is positive.\nAnswer: r**(236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (25\/20)\/(-5)*(-8)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 30292.05nm?\nAnswer: 0.03029205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 + -36. Let p(f) = -f**3 - 2*f**2 + f + 2. Let u be p(-3). Suppose -u = -0*m - 4*m. Sort m, -4, z in decreasing order.\nAnswer: m, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 16212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11560*b**4 - 10592*b**2?\nAnswer: -277440*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2 - 9*q + 54. Let p be a(4). Is 14 a factor of (p\/5)\/(3 - 2208\/735)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggrg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of -g**7\/2520 + g**6\/180 + g**5\/60 + g**4\/3 - 2*g. Let d(s) be the third derivative of k(s). Calculate d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-64 - -24) + (6 - (-8 + 2))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y + 2. Let x(h) = 4*h + 4. Let t(i) = -4*i - 4. Let c(p) = 3*t(p) + 4*x(p). Let z = -97 + 100. Determine z*c(f) - 5*n(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19164 - -5289215\/276. Let p = q + 1\/92. Let m = -0.2 - -0.4. Which is the second smallest value?  (a) p  (b) m  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*t - 883 + 5775 = -388 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 - 84 = 8*j. Let t be j*3\/(-12) - 14\/28. Solve -t*s + 27 = -3*y - 8, -2*s - 5 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 1659, -3\/5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (114\/285)\/(-3 - (-4)\/10) - (-431)\/13.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 747312 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4743851*u**2 - 106151161 wrt u?\nAnswer: -9487702*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9457, 9457, 9447, 9421, 9373?\nAnswer: 9297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2565.987 tonnes in milligrams?\nAnswer: 2565987000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 2*k**2 + 31*k - 12. Let d be s(6). Let r = d + -27. Solve 0 = 2*m - u, -r*u = -5*u + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 189308246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 2:20 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 15*j - 61. Let x be u(4). Let t be -3 + (1 + (3 - 4))\/x. Put -1, t, -2, 4 in decreasing order.\nAnswer: 4, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11579657663\/29496 - 392584. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*w - 17 = -7*u, -1 = w. Solve -b - u*b - 5*g + 28 = 0, -4*b + 5*g = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {v: 7, p: 2, b: 1}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of v**6\/20 - v**3\/6 + v**2 + 4. Let a(g) be the second derivative of t(g). What is the first derivative of a(p) wrt p?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.5 in -0.1, 4, 11.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*(137907\/(-5) - (-8)\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tnhtthnt. Give prob of sequence tttn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.03 - 4.97. Let h = b + 5.14. Put 2\/3, 1, h in ascending order.\nAnswer: h, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*j + 173 = 3*f, 2*f + 23 + 4 = -f - 3*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 16*p**2 - 47*p + 3. Let l be (-26)\/7 + (-8)\/28. Let i be h(l). Let c be 1\/(-2) + 11\/18. Is i > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 8:56 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7738 is divided by 839.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -127523\/10530 - -11\/1053. Find the common denominator of p and 2 - (273\/36 + -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, e: 1}. What is prob of picking 4 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 10485 = 5*g, -13*a - 8366 = -4*g - 11*a. Differentiate 31*o**4 - 38 + g*o**3 - 2094*o**3 with respect to o.\nAnswer: 124*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**3\/3 - 1208*m**2\/3 - 1214*m\/3 + 2420\/3 = 0. What is m?\nAnswer: -2, 1, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2016) + 6*-2*sqrt(2016) + ((sqrt(2016) - 2*sqrt(2016)) + sqrt(2016))*3)\/(-4*(sqrt(8) + sqrt(48)\/(1*sqrt(6)))*-2).\nAnswer: -33*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 4 = 8, 18 = -5*x + 3*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 95 or 110?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + (-1*sqrt(13))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -213517*h**3*v + 22952*h**3 wrt v.\nAnswer: -213517*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 7 = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 143 + 79. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 8, r: 3, l: 4, m: 4}. What is prob of sequence gmmr?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -201 in 5, 1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 746 = 4*f, 5*f - 2*f + 2*d = 560. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-258)\/903 + (-3)\/((-21)\/18083)?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 19 - 10 = -d, -4*r - 4*d + 36 = 0. Let x(p) = 19*p**2 - r*p**2 + 3*p - 4*p. Calculate the remainder when 29 is divided by x(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 62374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-14)\/(-12))\/(-7))\/(135\/108).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2733083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 248 = 2*s, -5*r - 4*s + 311 = -s. Calculate the remainder when r is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - 20101?\nAnswer: -20031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of w**5\/35 - w**4\/7 - 11*w**3\/21 - 3*w**2\/7 - 15. Suppose p(i) = 0. What is i?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 f, and 1 p when four letters picked without replacement from ffqalpal?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 - 4*o + 6. Let z be h(-5). Put z, -5, 6 in descending order.\nAnswer: 6, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = t + 55. Let z be t\/(2 + -4 - -3). Suppose 10 = 2*r + 4*q, -4*r + q + 0 = -z. Which is the nearest to r?  (a) -0.3  (b) 1\/6  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 + 57456*c + 26729230.\nAnswer: 2*(c + 473)*(c + 28255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 5*w + 1149 = 0, -4*v + 7*v - 857 = w. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (165 - -6) + (2 - -2). Calculate the greatest common divisor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92 - 91 + 287 + 15*a - 95.\nAnswer: 15*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5731 - 57421\/10. What is the common denominator of 7\/4 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1928.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 305 (base 6) to base 16.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (12 + -7) - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46590 - -71073. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13435 <= -2283951\/170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, q: 2, t: 1, x: 9, d: 1}. What is prob of picking 3 g?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -56*o**4 + 72*o**4 + 17*o**2 - 40*o**2 wrt o.\nAnswer: 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 4*l - 1355 = -1365, 4*n = 4*l + 4 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6243677 or 1?\nAnswer: 6243677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 452, -907 in descending order.\nAnswer: 452, -5, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -263*l**2. Let o(t) = -2*t - 17*t - t - 2*t + 20*t. Calculate o(q(v)).\nAnswer: 526*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 94 and 8.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17103*k = 29789 + 4417 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -298 or 0?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -100.5 - -101. Which is the third biggest value?  (a) 5  (b) y  (c) -5\/2  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a**3 + 302*a**2 - 216 - 312*a**4 - 301*a**2 + 217 to the form l*a**2 + n*a**4 + r*a**3 + z*a + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j + 70. Let t be f(-33). Let p = 7 - 6. Let r be (p + -1)\/(4 - 2). Solve r = 5*a - 3*y - 10, 2*a - 3*y + 4 = t*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**4 + 2*z**4 - 2*z**4)*(-2629*z - 1123*z + 376*z).\nAnswer: 6752*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 3 - 3*r + 37 - 10 + 1. What is the least common multiple of 64 and p(-11)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/3 + 0)*-3. Let l be 1 + (f\/(-1) - 2). Suppose -79 + 3 = 38*w. Are l and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6212 - -294?\nAnswer: 64a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxmh when four letters picked without replacement from rromkrkxmmhxrkr.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2397 and 305541?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -70620130 (base 8) to base 12.\nAnswer: -4b99b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 81*y**2 + 54*y - 224. What are the prime factors of z(4)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -692*w**2\/7 - 146476*w\/7 + 21024.\nAnswer: -4*(w - 1)*(173*w + 36792)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*l - l. Suppose l*u - 51 = -5*f, 20 = -f - 3*f. 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 the hundreds digit of 330949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.58456l to millilitres.\nAnswer: 13584.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5*s + 2025, 0 = -5*s + 8*s - 2*h - 1214. Let g = s - 414. Let y(i) = 4*i**2 - 6*i. Let r(q) = -q. Give g*r(a) + y(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 57 and 3648.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13168, 26332, 39496?\nAnswer: 52660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 11, r: 1}. What is prob of picking 2 v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 <= 1\/20567080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/10185 and -77\/240.\nAnswer: 162960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 1026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 826*m**2 + 22 - 12 + 16 - 790*m**2 in the form u*m + r*m**2 + i and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*g = -63, -3*g + 301 - 37 = 3*f. Calculate the remainder when 410 is divided by f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -56863837 - -56863837.201878642. Let q = -894.798164458 - g. Let j = -895 - q. Round j to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2519325 and 585.\nAnswer: 32751225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -647542*j + 6*j**3 - 7*j**3 + 3*j**3 + 647536*j - j**3.\nAnswer: j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 102 and 765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -35204 + 566?\nAnswer: -34305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 9*v**2 + 188260*v. Let f(m) = 2*m. Determine f(j(y)).\nAnswer: 18*y**2 + 376520*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -141243144?\nAnswer: -141243144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -783 divided by 3.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 219261 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 5 = -31. Suppose -k*n + 0*a = -4*a - 40589996, 2*n - 27059997 = 3*a. Round n to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.2 + 0.1. Put u, -2\/3, -4 in descending order.\nAnswer: u, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 6 = 0, -17*c - 48 = -3*u - 5*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -8*s**2 - s - 1. Let y(x) = 291*x**2 + 180*x - 1704. Let v(t) = 36*r(t) + y(t). Factor v(b).\nAnswer: 3*(b - 10)*(b + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.8123101 rounded to one dp?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65792, -65835, -65878, -65921?\nAnswer: -65964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is -1011 (base 6) in base 15?\nAnswer: -ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -207 - -209. Let u = 2\/351 + 692\/1755. Which is the nearest to u?  (a) -2\/9  (b) r  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.369 + -141.631. Let k = s - -142.427. Round k to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5*x**2 - 117*x - 38. What is f(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -265, -1, -5, -3 in descending order.\nAnswer: -1, -3, -5, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 11*r - 18 = 14*r, -c + 2*r + 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 2*u - 15, -2*h = -65*u + 66*u + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-1035)\/23*1\/((-125)\/(-15)))\/((-3)\/10)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 526*v + 3670, -190*t - 2 - 48 = -185*t + 5*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4 + 14. Calculate the remainder when 20 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -61246 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1480 and 371702.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2. Let z(l) be the first derivative of -381*l**2\/2 + 781. What is n(z(p))?\nAnswer: 290322*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -69\/7 - -10. Let h = -0.8 + 0.5. Which is the smallest value?  (a) -2  (b) q  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1216)*-3 + sqrt(19) + -2 + -3.\nAnswer: -23*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 2 + (5 - 2 - 4)*(-3 + 2 + 3) - 2 - 1 + 1)*((-3*m + m + 4*m)*(0*m + 2*m - m) - 14*m**2 + 53*m**2 + 3 + 61*m**2) as i + j*m**2 + z*m and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(1125) + (-3 + sqrt(1125) - sqrt(1125))*2 - (sqrt(1125) - -2*sqrt(1125)*3)) + 1)**2*4.\nAnswer: 3600*sqrt(5) + 162100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -3*d + 7. Calculate c(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/52)\/((-10)\/(-65))*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1211030230 (base 4) to base 9.\nAnswer: -701534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -88 + 145. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5*a - 7. Let g(s) = -11*s - 15. Let r(w) = -2*g(w) + 5*n(w). Let o be r(-4). Suppose -m + o = -t - 26, 8 = m + 4*t. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/15 and 101\/13608.\nAnswer: 68040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -464 less than -0.2?\nAnswer: 463.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (304\/(-68))\/(-4) - 1. Which is the second smallest value?  (a) -2\/5  (b) r  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 28 = -4*t. Let r(l) be the first derivative of l**2 - 2*l - 1 - 2\/5*l**5 + 4\/3*l**3 + 1\/3*l**t - l**4. Suppose r(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*z = -72*z. Suppose -n - 6 = -2*w, 5*w + z*n - 28 = -4*n. Solve 0 = y - 5*y + w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 2*s + 82000. Let q be a(0). What is q rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1647001 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1274 divided by -2\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -1598*n - 6385. Give b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/5)*f*f\/(f**(-5)*f)*f*f**(-4))\/((f*f\/f**(-2\/3)*f)\/(f\/(f*f**(-5)*f))*(f**(-2\/17)\/f*f)\/(f**5*f)) assuming f is positive.\nAnswer: f**(2359\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 9\/5, 645\/4, -2\/13, -417, 2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 345*i + 80*i - 4143789 = 1496386. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from irsesek. What is prob of sequence ke?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**4 + 5*y**3 - 5*y + 7. Let f(k) = 6*k**3 - 6*k + 8. Let i be (-8)\/(-2)*6\/4. Let j(m) = i*b(m) - 5*f(m). What is the derivative of j(c) wrt c?\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 512 = -2*u, -u - 640 = -64*j + 59*j. What is the highest common factor of 1456 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(132)*-2)\/(sqrt(12) + sqrt(144)\/sqrt(3) - sqrt(12)) + 1)**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 2. Let f(a) = -a**2 + 6*a**s + 0*a**2. Let p(z) = -16*z - 22*z + 40*z. Determine f(p(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -10*w**3 + 3736*w**2 - 9*w - 14. Let u(m) = 4*m**3 - 1868*m**2 + 4*m + 6. Calculate 3*i(h) + 7*u(h).\nAnswer: -2*h**3 - 1868*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 185 = 4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, 0.4, 0.3, 2\/27, 64, 23, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from zlzjl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -284 - -409. Let j = n - -19. Suppose j = 4*d - 0*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2202881 divided by -108?\nAnswer: -2202881\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 6 + 7)*(2 + 3 - 3)*(2 - 6 + 3)*(26 + 23*k - 26) to c + o*k and give o.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 = -41*k + 232 + 480 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b - 31. Let s be u(7). Let v be s\/15*-39 - 2\/10. Let p = v + -39. Calculate the remainder when 49 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + -8)*4\/(-14). Let o(i) = -y*i - 2*i + i. Let q(s) = 4*s**2 + 2*s**2 - 4*s**2. Determine o(q(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 6*y. Let x(t) = -1017667*t**2. Give m(x(l)).\nAnswer: -6106002*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12130 (base 5) to base 7.\nAnswer: -2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6\/12)\/(1\/10). Let r = 53 - d. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w**2 + 7*w + 10. Let x be i(-6). Let p = -12 - x. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5259988559 to the power of 1\/2, to the nearest integer?\nAnswer: 72526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123 = 15*d - 63 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 2 = s, 6*a + 6 = 3*a + 3*s. Solve 5*w + a = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -126451 divided by 318\nAnswer: -126451\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 0.5, -2\/11, 0.2.\nAnswer: -22, -2\/11, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81*k**2 + 241*k**2 + 1 - 3*k**2 + 312*k**2 to s + z*k**2 + r*k and give z.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 771087 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 2*u**3\/45 - u**2\/15 - 4*u\/15 - 2. Determine d, given that v(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -2*l, 157*x - 156*x = -3*l. Let u(a) be the third derivative of 1\/30*a**5 + 0*a**4 + 0*a + 0*a**3 + x + 7*a**2. Let y(g) = -10*g. Calculate y(u(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (11 + -6)\/((-4300)\/69660)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34)\/51*(-3)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 32 = 2*m, -5*c + 3*m + m = -52. Is (835\/4)\/(3\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/(-2 - 21063\/(-10533)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + p**2 + p + 1. Let j be s(-1). Suppose j*i - 8*i + 160 = 0. Calculate the greatest common factor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + 7*j**2 + 7*j - 6. Let c be b(-6). Let v be 10\/8 - (-3)\/c. Differentiate 2 + 2*n**2 - 2 + v wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of r**7\/42 + r**3\/6 - r - 3. Let m(h) be the first derivative of v(h). Find the second derivative of m(z) wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ovv when three letters picked without replacement from {v: 5, o: 11}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 21\/7*6\/4*99\/(16632\/(-112))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 143993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*f + 33360 = -23479 - 155015. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i + 1. Suppose -175 = -9*z - 166. Let o(y) = -4*y - 2*y + 8 + y. Let u be 37*3\/(-18) - 6\/(-36). Determine u*w(f) + z*o(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of -q**2 + 4908. Let c(r) = -222*r. Determine i(c(s)).\nAnswer: 444*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - 1 - -2*2. Solve -2*f - 2*f + 4*w = 28, n*w = -3*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (3 + 6 + 3 + -18 - -41).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.35, -14, 3, 4, -2\/133?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h + 8. Let g be m(-4). Let v be 201\/g - -4 - 3\/(-12). Find the third derivative of 43*n**2 - 11*n + 11*n + 19*n**6 - v*n**2 wrt n.\nAnswer: 2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111 + 10012011?\nAnswer: 10012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/(-21))\/(-2*(-2)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*s**2 - 297*s**4 + 4*s - 3*s**3 + 5*s**3 + 298*s**4 as j*s**3 + v*s**2 + z*s + o + f*s**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.57 - -0.43. What is the third biggest value in 2, 2\/5, -5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 24 = q - 7*o, -11*q = -o - 230. What is the common denominator of q and -27\/1130?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*l**3 + 3*l**3 - 6869*l**5 - 26*l**2 + 7101*l**5 - l**4 - 3*l wrt l.\nAnswer: 13920*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 4:16 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d - 2*d + d)*(5*d**2 + 2*d**4 - 5*d**2).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3370, -3361, -3324, -3241, -3094, -2865?\n\"Answer: 3*b**3 - 4*b**2 - 3369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 9:36 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 6175538 = 7654450. Suppose 3*a - 5*a - 9219988 = 3*s, -a - s - w = 0. What is a rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.96 + -0.27. Let u = 16.09 - l. Let i = 15 - u. Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-3*sqrt(128) + 1 + 0 + 4))**2.\nAnswer: -960*sqrt(2) + 4708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -15a + 1748?\nAnswer: 15aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 6*q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 832991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -767416 divided by 16328.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 893353.\nAnswer: 139, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 177811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6522 times -1219.1?\nAnswer: 2014.19702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/3762 and -157\/30?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-19)*c)**(-15)*(c*c**(-39))\/c*c**(-2\/61) assuming c is positive.\nAnswer: c**(14089\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three quarters of a kilogram?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.04, -0.3, 53, 6253, -2\/3?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 285*32.\nAnswer: 9120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 825, 3353, 7575, 13491, 21101, 30405?\n\"Answer: 847*v**2 - 13*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1.8, -2\/61, -2\/19 in decreasing order.\nAnswer: 3, 1.8, -2\/61, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 231, 307, 451, 681, 1015, 1471?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3333013 (base 4) to base 13\nAnswer: 757c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 10\/9, -848, -0.4, 0.1, 227\/7 in increasing order.\nAnswer: -848, -0.4, 0.1, 10\/9, 227\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/4 of a decade in months?\nAnswer: 2130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 6*a. Let g(y) = y**3 + 7*y. Let s(c) = -3*g(c) + 4*t(c). Let b(o) = -6*o**3 - o**2 + 7*o. What is -2*b(i) + 5*s(i)?\nAnswer: -3*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 11:28 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12107062171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, -3708, 66, 1, -5 in decreasing order.\nAnswer: 66, 5, 4, 1, -5, -3708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 421.6009 to the nearest integer.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 36, 51, 64?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 198  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 914930 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/3*(-120)\/16. Suppose 2*k - 5*k + 2 = -2*r, -2*r - 3*k = -n. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -718772.4 rounded to the nearest 1000?\nAnswer: -719000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -108217 + 644257. Suppose -2*v + 1699996 = -5*i, -3*i + 5*v - 751970 = x. Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.049698899 to 4 dps.\nAnswer: 0.0497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, r: 2, v: 1, i: 1}. Give prob of sequence rmr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (18 - 6)\/(-1 - -3). Let l(n) = 19*n**2 - 5 + 1 - 4 + o. Is l(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of -o**4\/12 + 91*o**2. Let v(d) be the first derivative of 15*d**2 - 7. What is i(v(b))?\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 41581 greater than 41581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-36))\/((-1)\/(-1))*4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2665*a - 5*a**3 - 3*a**3 - 4*a**3 + 2680*a.\nAnswer: -12*a**3 + 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x + 9. Let y(q) = q - 1. Let l(h) = -n(h) - 6*y(h). Let m be l(-4). Suppose -2*t - 3*t - m = 0. Let o(c) = -c**2 - 5*c - 6. What is o(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 626.1648 kilometers in millimeters?\nAnswer: 626164800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -66*o + 399*o + 882*o as r*o + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppippciiiicp. Give prob of sequence iic.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of v**9\/3024 - v**6\/45 - 5*v**3\/6 - 8*v**2. Let h(m) be the first derivative of j(m). Find the third derivative of h(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1133 + 1261. What is the remainder when h is divided by (4\/(-8))\/(1\/(-26))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 8:27 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*d - 193 + 211 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19426, -38844, -58262?\nAnswer: -77680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence au when two letters picked without replacement from {a: 5, u: 3, z: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000582231105 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -17*y**2 - 11*y + 21. Let k(t) = -16*t**2 - 12*t + 20. Let i(w) = 4*a(w) - 5*k(w). Factor i(r).\nAnswer: 4*(r + 2)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.11307 + 0.01307. Suppose 0 = -4*n - 4*j + 12, 3*j = -2*n - j. Let m be (2\/(-4))\/(21\/n). Which is the closest to i?  (a) 4  (b) 1\/5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {t: 9, c: 3, a: 5, v: 2}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 548*t + 4 = 2*k + 551*t, 0 = -5*t + 2 - 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -3*h + 67, 0 = -5*h - 2*t + 4*t + 93. Let y be ((-156)\/(-10))\/(4\/10). Suppose 3*i = y - 12. Calculate the remainder when h is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 3*w - 0*d - 113, 4*d = -w + 32. Suppose 0*i = -5*i + 75. Suppose g - 9 = i. Calculate the highest common factor of g and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 3 - l)*(-2*l**3 - l**3 + 0*l**3) to the form w + a*l + y*l**4 + b*l**2 + o*l**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6544481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -37*f + 29*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1)**(-3)*j**0*j*j**3*j assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4100, -4103, -4106, -4109?\nAnswer: -4112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1074600 to the nearest ten thousand.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (184\/(-276))\/(1\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -216, -208, -210, -228, -268, -336, -438, -580?\n\"Answer: -u**3 + u**2 + 12*u - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 231 = q, 101 = i - 5*q - 136. Suppose 4*j - 3*j - i = 0. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 10*i - 14 = -5*i, 0 = -3*n + 4*i + 25. Suppose n*b + 0 = -p - 11, 19 = -3*b + p. Suppose q - 3 = -4*g, -4*g = -g. Sort 24, 4, q, b.\nAnswer: b, q, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144352 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 11, 0.7, 0.28?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1728) + 4 - sqrt(6)\/(sqrt(256)\/sqrt(8)))**2.\nAnswer: 190*sqrt(3) + 27331\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w + 2*w**2 + 89 - 89)*(0*w + 2*w - w).\nAnswer: 2*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxrvrvxxvxx. What is prob of sequence vv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*x = -68*x - 10220. Calculate the smallest common multiple of 18 and 8 - x\/(-2 + 3).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1432 + -2410?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4*u = 36, 0 = t - 3*u + 4*u - 8. What is the units digit of 2*t\/(24\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/468 and -83\/44?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, m: 1, n: 10, d: 4}. What is prob of sequence mn?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a. Let y be ((-6)\/4)\/((-6)\/1512). Let t(d) = 378 + 2*d - 7*d - y. Give z(t(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 6*a - 30. Let h(m) = -6*m + 30. Let o(y) = 3*h(y) + 4*x(y). List the prime factors of o(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 7*j**2 - 9 - 2306*j**3 + 2303*j**3 - 2*j)*(-3*j + 2*j + 2*j) to the form v*j + d + b*j**4 + i*j**3 + a*j**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 163 + -163.297. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of 2*a + 0 - 1\/2*a**2 + 1\/2*a**3 - 1\/4*a**4 + 1\/20*a**5. Let g(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 804172 = 196*r + 783200 for r.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 3*m**2 + 580884*m = 0.\nAnswer: -193628, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -4, 0.5, 4, -0.721?\nAnswer: -0.721","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.00792577 and -9.\nAnswer: -9.00792577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 3. Let a = 0 - 0. Let m be v(a). Solve 8*o - m*o = 5*y - 5, 3*y = o - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a8 + 18?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (77\/(9240\/(-144)))\/((-2)\/35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/(-34) + (-537)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 436 + -435.999826. Round r to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 5*p + 1536, -p - j - 306 + 0 = 0. Suppose 4068 = -7*b + 932. Let d = p - b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.6 - 3. Let j = -6 + 11. Let h = 0.4 + 0.6. Which is the nearest to h?  (a) j  (b) -1\/9  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 229507, 229504, 229499, 229492, 229483, 229472, 229459?\n\"Answer: -t**2 + 229508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.014805941482 to 4 decimal places.\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 133 - 31010?\nAnswer: -30211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 27 - 77 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 175*x - 67900. Let g be t(388). Suppose 0 = -r - 2*l + 8, 1 = 3*l - 5. Let m be (-6)\/2*(-3)\/(-8). What is the third biggest value in r, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18182 - -18198. Which is the closest to 1?  (a) 0.6  (b) 0.3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 0 + sqrt(99) + 5)**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -18171a9 - -b?\nAnswer: -181719c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 5*s + 6*s - 3*s + 23*s - 2*s**2 - 33. Let y be i(14). Suppose -4*c = -4*j, 2*c + 4 = 5*j - c. Solve -3*v + 2*p - p = y, 23 = -j*v - 5*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-8624)\/91)\/(-308))\/((2\/(-6))\/((-754)\/12)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = 5*o + v - 30, v = o - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 14*r**2 - 14*r. Let t be l(15). What is the greatest common factor of 165 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*i - 1 + 2*i**2 + 2 - 36*i as x*i**2 + s + h*i and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18234680 is divided by 4558669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -313*g + 321. Calculate u(2).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {x: 3, w: 17}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*v = 0. Suppose 3*j - 5*f + 422 = v, -3*j - 414 = 2*f + f. Let c = 206 + j. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -2*s - 32, 0 = 2*s - o + 53 - 21. Let c = s + 75. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -20\/317?\nAnswer: -20\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-76)\/4 + 2 + -4. Let t(q) = q**3 + 8*q**2 - q - 8. Let y be t(-6). Let g = y - o. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -297720396 divided by -804.\nAnswer: 370299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -104 or -108?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y - 3*y - 3*y - y + 4*y - y + 4 - 2*y - 4 + (-2*y - 2 + 2)*(-1 + 1 + 1))*(0*y + y + y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 0 + 33 + -37 + 0 + -13 + 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + 0.6. What is the second biggest value in -1, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -25*i + 1. Let o(l) = -13*l. Determine 5*o(w) - 2*p(w).\nAnswer: -15*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 90 = -3*k. Let q = -18 + k. What is the third biggest value in 5, q, 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 15, 13, 9, 3, -5, -15?\n\"Answer: -y**2 + y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 338258024.\nAnswer: 2, 13, 3252481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/1)\/(4\/(-1050)). Suppose 101*r + 15533 - 1140 = -15604. Let p = r + z. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 5.3  (c) 7  (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 4 + -8 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 460 + -460.3. Which is the second smallest value?  (a) 4  (b) -5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2063917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*z**2 + 8*z**2 - z - 31*z**2 - 3*z - 12*z**2 + 5*z.\nAnswer: -90*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 + 96088*o**2 + 384304*o + 384288.\nAnswer: 4*(o + 2)**2*(o + 24018)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - 4*w + 8, 4*w = m - 0*w + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3 - 0) + (3 - 8) - -1) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7222293?\nAnswer: 3, 13, 61729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -22\/9  (b) -36  (c) -7\/5  (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4948.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10025?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*o**4 - 83518*o**3 + 3682402*o**2 wrt o.\nAnswer: -96*o - 501108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16488)\/(-96)*3\/((-135)\/(-6)). Let o = b - 102\/5. Solve 25\/4 + 1\/4*f**2 + o*f = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11442 - -42?\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1017 - 1025. Which is the nearest to -0.1?  (a) -5\/6  (b) m  (c) -0.1  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -89, -300, -705, -1364, -2337?\nAnswer: -3684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**3 + 58*o**2 + 122*o + 73. Suppose -31 = -u - 2. Calculate the remainder when u is divided by k(31).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -25*i**2 - 2. Let u(x) = 753359*x. Give u(m(d)).\nAnswer: -18833975*d**2 - 1506718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 209?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16694 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11313\/4*j**4 + 294*j + 0 + 14439\/2*j**3 - 243\/4*j**5 - 2787*j**2 = 0. What is j?\nAnswer: -49, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*s - 407 + 104 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389698 is divided by 900?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10395\/810 - (-10)\/(-12) - -6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 540\/(-8)*24\/9. Let g = -104 - p. What is the remainder when g is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -47*u - 4. Let a be f(6). Let b = 146 + a. What is the common denominator of 121\/6 and (9\/(-6))\/(48\/b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (8 - -1) - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7540 = -7*o + 10436. What is the highest common factor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-117)\/12)\/(9\/(-132)). What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*j)*(16*j + 296*j + 287*j - 142*j).\nAnswer: -914*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -141 - -141. Let p(o) = -5*o + 385. Is 19 a factor of p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2403, -4585, -6755, -8907, -11035, -13133?\n\"Answer: y**3 - 2189*y - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 + 5 + 5)\/(2\/3). Is 9 a factor of 3\/q*68*27\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*d**3*n**2 - 32*d**3*n - 2*d**3 + 2*d**2*n**2 - 1692*d**2*n wrt d?\nAnswer: 54*n**2 - 192*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ec + c?\nAnswer: -e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56624009?\nAnswer: 13, 19, 229247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -5, 1\/2, -2\/9, -2, -1\/3, 186.02, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 1142  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from adtit. Give prob of sequence ida.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (572\/(-7722))\/(1 - (-84)\/(-81)). Suppose 3*k + 32 = 7*k. Suppose 0 = 4*j, -b - j + 3*j + k = 0. Solve -b + a = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3060522, 6121048, 9181580, 12242118, 15302662, 18363212, 21423768?\nAnswer: 24484330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14\/5 in -10, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*y**2 + 13 - 13 + y + y**2 - y + (0*y + 0*y + y**2)*(-1 - 1 + 3) - y**2 + 4*y**2 + 0*y**2.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2500 + -22?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1952 - 1902. What is the smallest common multiple of a and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 41098035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1374915 + 5?\nAnswer: 1374920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 12:32 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9239, -14309, -28069, -54863, -99035?\nAnswer: -164929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.599 + 1.521. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -11513?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 3  (b) 0.41  (c) 0  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a (base 13) to base 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.827291847 to four decimal places.\nAnswer: 9.8273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (46 - 45) + (3989 - (-4 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 1213*m - 1209*m - 8*m**2 - 1 + 9*m**2. Let b(a) = -a**2 + 1. Let h be b(2). Give q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = r - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**5\/a)**(-5\/4)*(a*((a**(-11)*a*a*a)\/a)\/a)**(-7\/4) assuming a is positive.\nAnswer: a**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 + -28333.53?\nAnswer: -28282.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 1 - 1 - 1 + 23*v. Suppose 4*x = -o + 21, -2*o + 2*x - x - 3 = 0. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(153) - -1*sqrt(153)*2))\/(sqrt(27)\/sqrt(3)*-6*-2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/344 and 12\/(-32)*9\/3.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 8*z - 5. Let r be f(7). Let o(j) = -1 - 3 - 3*j + 13*j**2 + 4. What are the prime factors of o(r)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - 0 - (1 + 0). Let r = 3 + -1. Suppose r*q = -3*q + 10. Solve -3 = -q*i - h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + 2. Suppose 0 = -6*a + 3*a - d. Let u(o) = o**2 + 4*o + 4. What is u(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -4.8. Let q = 97 + -101. Which is the second smallest value?  (a) 0.2  (b) q  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-8))\/((-46)\/1104) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/26, -1, -4 in ascending order.\nAnswer: -4, -1, -1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/17  (b) -1  (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 49966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7164383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-3) + (-8)\/(-3). Suppose 0 = s + f*s + 20. Let h be (-2)\/s + (-18)\/45. Solve -3*j = -2*z - 1, h = 2*j + 2*j + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65737131293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 10 = -5*q + 3*y, -4*q + 5*y - 30 = 0. Is (4\/q)\/(8\/(-220)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-144 + 144 - 469*l + 92*l)*(4 + 1 - 3) as n + u*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 520.8825 - -0.1175. Let l = q - 520.9999604. What is l rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 90, 92, 104, 132, 182, 260, 372?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (27\/(-18))\/((-21)\/2). Suppose 0 = 4*m - 5*u + 11, 5*m + 3*u - 8 = -31. Put -5, m, f in increasing order.\nAnswer: -5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 PM and 2:47 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 821752848 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzdpppdtpppptpddd. Give prob of picking 1 d and 1 t.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 32730*((-32)\/(-192) - (-3)\/6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -0.1, 0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1720020 divided by 143335?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -182.089 and -526.27?\nAnswer: 344.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -2*w**5\/15 + w**4\/6 + 2*w**3\/9 - w**2\/3 + 19. Find z such that t(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 less than -73654327?\nAnswer: -73654308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -4*s**3 + 3*s**2 - 3*s. Suppose -8*f = 2 - 170. Let y(g) = f*g**2 - 47*g**2 + g**3 + 25*g**2 + g + 0*g. Determine -d(o) - 3*y(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (119 - 138) + (4 - -42)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/(-18))\/(-11*14\/924))\/((-2)\/129).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 5)*(-33*c**4 - 1223*c**3 + 1223*c**3).\nAnswer: -165*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61108, -61109, -61110, -61111?\nAnswer: -61112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*14*2\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 109806, 109811, 109816, 109821, 109826, 109831?\nAnswer: 109836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 7.94. Let m = 17 + -15. What is the biggest value in -0.3, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -75 + 80. Suppose 43 = -3*l - 5*n + 213, s*n + 105 = 2*l. Let f = l - 22. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12 + 1601427?\nAnswer: 1601415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 - (14 - -12) - ((-9 + 3 - 3) + 61).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.089 - -0.389. Let h = 122\/301 - -1\/43. Which is the second biggest value?  (a) 0.2  (b) h  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 26 = -6*q + 32*q - 28*q, 3*u + 43 = 4*q for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.7 - -1.7. Let p = 82\/5 - 16. What is the closest to p in -5, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1048034.\nAnswer: 2, 13, 173, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -2\/19, -5\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 674 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 6*x**2 + 2*x + 1. Let z be (-1 - -3) + (2 - 1). Suppose -4 = j + z*j. Calculate b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2127923 plus 5.343?\nAnswer: 2127928.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142*b - 71*b - 94*b + 2246*b**2.\nAnswer: 2246*b**2 - 307*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103 = -h + o - 23, 4*o = -3*h + 275. Let d = h + -53. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48 and 33612.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12096 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 23, -0.2, 0, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 230848.86 months in decades?\nAnswer: 1923.7405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-52)\/16 - -3) + -17 + 1368\/96\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*t + 2*t. Find the third derivative of 0*d**3 + 0*d**t - 8*d**2 + 3*d**2 - 6*d**4 wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16d8 (base 15) to base 11\nAnswer: -3780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2498 + 46308*h - 46308*h - 2*h**3 + (2 - 2 + h)*(0*h**2 - 2*h**2 + 4*h**2) + 2*h**3 - 4*h**3 + 4*h**3.\nAnswer: 2*h**3 + 2498","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17946 + 17946. Let b(c) be the second derivative of 0*c**3 + 20*c + 1\/12*c**7 + 1\/20*c**5 + 3\/20*c**6 + s*c**4 + 0 + 0*c**2. Solve b(l) = 0 for l.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3103 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*g**2 + 1240*g - 412.\nAnswer: -4*(g - 103)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.2  (b) 3  (c) -63  (d) 45  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**3 + 3*s**5 + 0*s**3 + (-3*s**3 - 5 + 5)*(-50*s + 50*s - 4*s**2) + (0*s**4 - s**4 + 3*s**4)*(0*s - s + 4*s).\nAnswer: 21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16366561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -40, -3*p + 345*a - 350*a + 2774275 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 51490980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1194139864 to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/3046 and 13\/367254?\nAnswer: 559327842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-3 - 1 - (8 - 1 - 13))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 15 = 5. Let q be (-27)\/(-6)*2 + b. Is 16 a factor of -72*(3 - q\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 4\/7  (b) -0.2  (c) -0.159  (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 465680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/8  (b) 3  (c) -22  (d) 2\/13  (e) 222  (f) 7\/2  (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 11340*u**2 + 19*u - 45. Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 104 (base 5) to base 10\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -30e0c97a + -3?\nAnswer: -30e0c97d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1462737 divided by 3229?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 15. Suppose -n*r + 3*d + 22 = 0, 2*r + 5*d - 3 = -19. Suppose -r*c + 11 = -9. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 27*q**4 - 27*q**2 + 2. Let t(g) = 82*g**4 - 80*g**2 + 7. Let j(r) = -7*l(r) + 2*t(r). What is the third derivative of j(x) wrt x?\nAnswer: -600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12435 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 3*w**4 - 93*w**3 + 888*w**2 - 2868*w + 2880 = 0.\nAnswer: 2, 3, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0*1.78\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 40*w - 20*w - 30*w in the form s*w + i and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*x**4 - 182*x**2 + 12632*x - 90885744 wrt x?\nAnswer: 8*x**3 - 364*x + 12632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-42)*24304\/(-168)*(2 + 1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-301*q + 39 + 601*q - 305*q)*(-3 + 8 + 0).\nAnswer: -25*q + 195","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 19567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (5 + -4 - (-3 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*u + 14*u - 50*u.\nAnswer: -43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f559d0 - 0?\nAnswer: f559d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -243477*p**3*q**2 + 14*p**3 + 899*p**2 - p*q + 2*q wrt q?\nAnswer: -486954*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -47\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34*x**2 + 12*x**2 + 45*x**2 + 74*x**2 to the form t + i*x + o*x**2 and give o.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m**4\/6 - m**3\/2 - 2*m**2\/3 = 0. What is m?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 28979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1080 + 972.7. Let q = k - -690.8. Round q to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + (-10 - 1))*(-2)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**7*t*(t*t**(-1\/4))\/t)**3\/(t**(1\/5)*t**0*(((t\/t**5)\/t)\/t)\/(t**(1\/3)*t)) assuming t is positive.\nAnswer: t**(1823\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -15*c. Let g(h) = -2*h**2 + 9*h - 52. What is g(n(d))?\nAnswer: -450*d**2 - 135*d - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 12:48 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25 + 43. Suppose 0 = 2*q + q - x. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75309.11 rounded to the nearest one hundred?\nAnswer: -75300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -4338.69739 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -63\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (769 - 738) + (1 - 24) - 72?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15418985.\nAnswer: 5, 163, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -683 + 683.277. Let j = 0.477 - x. Let n = -9 + 8. Which is the third smallest value?  (a) n  (b) j  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 8 = 5*w - 29, 3*n + 5*w + 55 = 84 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3 + 0 = -2*n, -5*v + 2*n = -13. What is the units digit of (-4 - -9)*(v - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-16)\/3)\/(1\/(-19 + 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*h - 10*h - 39*h)*(0 + 0 + h**3).\nAnswer: -63*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 285742789 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/3)\/x)**(2\/11))**(-13) assuming x is positive.\nAnswer: x**(52\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -d - 4. Let n = -164 + 195. Suppose n*z + 78 = 171. Solve 10 = -z*v - d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125848376?\nAnswer: 2, 139, 113173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -12*s. Let h be (-1)\/(1 - 2) + -2. What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**3 - 2*w - 1. Let s be (15\/(-9))\/((-140)\/252). Let t(z) = 4*z**3 + 3*z + 3. What is s*t(i) + 7*b(i)?\nAnswer: -2*i**3 - 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + 1425?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8850644 by 44.\nAnswer: 201151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 11:56 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -4*f + 48252, -3*f - 6854 + 43043 = -3*c. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, 19, 219, 615, 1273?\nAnswer: 2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v**3 + v**2 + v - 1. Let z(m) = -m**3 + m - 1. Calculate -n(u) + z(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from npbcbab. Give prob of picking 1 p, 1 a, and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68.4325 + -66.96. Round u to two dps.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 12 = -2. Suppose 4*x - 3*r = -28, -3*x - 33 = -y*r - 1. Does 6 divide 24\/2*x\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/(sqrt(72)\/(sqrt(24)\/sqrt(2))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -538 divided by 502.\nAnswer: -269\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20242765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w - 1. Let z be u(-5). Suppose 0 = -f + 5*n + 30, -2*f - 4*n - 6 = z. Solve 2*d + 4 = 0, -2*x + d + 17 = -f*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {s: 1, x: 1, o: 7, k: 5, g: 2}?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 4636.\nAnswer: 50996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.347, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18720665639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3951506556.\nAnswer: 2, 3, 61, 191, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 636100*f**6 + 78803*f**2 + 4*f + 1.\nAnswer: 76332000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 613690 = 33*f. What are the prime factors of f?\nAnswer: 2, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, v: 1, g: 1, p: 1, u: 2}. Give prob of sequence gj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-5) + 474\/15. Let c be (-3)\/(-12) - q\/(-4). Let p = 11 - c. Solve -4*i - p*j = -0*i + 14, 4*i = j - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/3, -183\/22, -3, 11.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-6)*q*q*((q*(q*(q**(4\/3)*q)\/q)\/q)\/q*q)\/q*q)\/((q*q\/q**8)\/((q*q**(5\/4))\/q*q)))**21)**(9\/2) assuming q is positive.\nAnswer: q**(4977\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.3 + -8.04. Let y = -0.19 + h. Let l = 0.8 + y. Round l to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 264 and 1617.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 0*b**3 - 4*b + 5\/2*b**2 + 1\/12*b**4 + 1\/20*b**5 + 0. What is the units digit of c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 + y + 179. Let s(j) = -45274*j + 22639*j + 22637*j. What is i(s(z))?\nAnswer: -4*z**2 + 2*z + 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -159553 and -28.\nAnswer: -159581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18 + -6. Suppose n = -3*v - 4*d + 36, 4*d = 4*v - 32. What is the remainder when 31 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -128*q - 122. Is z(-10) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3108105, -6216103, -9323883, -12431337, -15538357, -18644835, -21750663, -24855733?\nAnswer: -27959937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -74*g*v**2*w + 2091154*g*w - 131*v**2*w + v*w + 17239*v + 6*w wrt g?\nAnswer: -74*v**2*w + 2091154*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44))**2 + -2 + sqrt(275) + -1 + sqrt(11).\nAnswer: 6*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of 9*u**2 + 10*u - 4. Let a be b(9). Suppose a = 2*l + 18. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 901342?\nAnswer: 2, 13, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108695, 217681, 326667, 435653, 544639, 653625?\nAnswer: 762611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23279 divided by -12.\nAnswer: 23279\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.08  (b) 12  (c) -1\/6  (d) -3  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 2  (b) -11  (c) 0.9  (d) -0.02  (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13240 + 20?\nAnswer: -13220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 - 2*o. Calculate l(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 332 - 325 = 7*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 7:25 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*l + 1349 = 15*l + 67*u - 724, -5*l - u = -41 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 128960 and 3200.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21002001 + 11001200?\nAnswer: 102010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -757*p**4\/6 - 355*p**2. Let d(g) = 2*g**2. What is f(d(z))?\nAnswer: -6056*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 2*i + 48, 5*i = 3*u + 2*i - 33. Let f be 38\/6 - (-6)\/9. Let z = u - f. Solve 2*a - 4*a = -z*s + 15, 24 = -3*a + 5*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2214 divided by 369.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2216347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-13)*i**(-5)*i**(-4\/7)*i**(-12) assuming i is positive.\nAnswer: i**(-214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1213960*i**3 - 39982*i - 6.\nAnswer: 7283760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 26297 and 3.\nAnswer: 78891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 18 = 2*y, -3*y = -2*h + 3*h + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -9*w + 2. Suppose -8 = 5*k + 2. What are the prime factors of z(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y + 3. Suppose -2*b = 11*b - 325. Suppose -11 + b = 7*h. What is i(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of p**7\/21 - p**6\/30 - 3*p**5\/20 + p**4\/12 + p**3\/6 - 18*p. Factor z(s).\nAnswer: s*(s - 1)**2*(s + 1)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from fffsoiorwsissr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 100103 (base 5) to base 4\nAnswer: 301101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 236 = 5*c, -c - 256 - 380 = -5*y. Let z = 209 - y. Round z to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from biiiniiii. What is prob of sequence bi?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-40)\/12)\/((-42)\/63))\/(((-95)\/(-209))\/5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}